One Thousand and One Conjectures

Two transmission technologies for Sanskrit ran side by side for centuries: the mnemonic machinery of Vedic recitation — interlocking recitation modes and error-checking permutations built to preserve the Rigveda syllable-perfect — and ordinary manuscript copying, which carried texts like the Mahābhārata. Philologists…

The Aṣṭādhyāyī, Pāṇini's fourth-century-BCE grammar of Sanskrit, achieves its legendary brevity partly through rule ordering: later rules silently inherit terms from earlier ones (anuvṛtti), so the total length of the grammar depends on the sequence in which its roughly four thousand rules…

As chess spread from India across Eurasia, both its objects and its rules mutated regionally: the piece carved as an elephant in the Islamic world became the bishop in Europe, and the moves themselves varied between documented regional rule sets. Linguistics maps…

This joins the vast water network of medieval Angkor to the theory of self-organized criticality — the sandpile physics in which a slowly loaded system tunes itself to a critical state where avalanches of every size occur, their sizes following a power…

Bachet's classic weight problem asks for the smallest set of standard weights that can weigh out every required quantity on a balance — a combinatorial optimisation whose solutions depend on whether weights may sit in one pan or both. The Indus Valley…

Joins index-number theory — the chained construction behind the modern consumer price index — to Tamil temple epigraphy. Thousands of dated Chola-era endowment inscriptions record in stone the rates of paddy, ghee, and oil required to keep a temple lamp burning in…

Joins the concentration indices of industrial organization — the tools economists use to tell competitive markets from managed ones — to Indus glyptic. Stamp seals were the emblems of whoever ran Indus commerce, and if their animal motifs were the competing badges…

Capture-recapture statistics estimate a population's size from the overlap between independent samples — tag fish, resample, count the recaptures. This conjecture treats the great Sanskrit subhashita anthologies — the Subhashitaratnakosha, Saduktikarnamrita, and Sharngadharapaddhati — as quasi-independent samples drawn from a floating ocean…

Connects the growth history of the Mahabharata to the economics of recitation patronage: a battle narrative has continuity constraints — insert a fresh duel and someone already dead is fighting — while didactic discourse is modular, and a patron endowing a recitation…

Joins Sanskrit metrics to stemmatics as a dating instrument: the epic shloka admits licensed variations (the vipula forms) whose frequencies drifted historically toward the stricter classical norm, and an interpolator cannot help writing the verse rhythm of his own training. Passages rejected…

Connects the world's longest translation chain — Kalila and Dimna from Sanskrit through Middle Persian and Arabic into Syriac, Greek, Hebrew, Latin, and Castilian — to a two-speed model of what a book is to its transmitters: chapters are detachable assets that…

Connects frame-tale morphology to accretion dynamics: some frames advertise a number — seven sages telling set tales, ten narrators times ten days — and some advertise only survival-by-storytelling, an open valve. A counted frame makes every insertion a visible breach of contract…

Joins the design of the Tamil Sangam anthologies to archival practice: the Ettuttokai collections declare poem-length bands (Kuruntokai short, Akananuru long), which means length was the filing system by which loose songs were binned into books. A filing system leaks its history:…

Sanskrit philosophical debate preserved its enemies more faithfully than its authors. Once a rival school went extinct, its positions fossilized into stock quotable verses that every refuter reproduced nearly verbatim — fairness conventions required quoting the opponent exactly, and after the opponents'…

the Mithila school's teaching monopoly in early Navya-Nyaya was a copying monopoly too, and it left a permanent physical signature. Works of the monopoly period should circulate almost exclusively in eastern scripts, while pre-monopoly Nyaya classics show pan-Indian script spread — institutional…

Indian philosophical curricula froze their opponent-set at the moment of the opponents' extinction. After Buddhism vanished from the subcontinent, Brahmanical works kept allotting Buddhists their full traditional share of polemical space for centuries, but the Buddhists engaged should be exclusively pre-extinction classics…

Jain manuscript libraries preserved their opponents better than the opponents preserved themselves. Jain debate pedagogy required possession of rival texts, and the temple bhandaras had the institutional continuity that Brahmanical family-and-school transmission lacked; Brahmanical lines copied their own school, Jain libraries copied…

This connects the long Indian manuscript age with curricular divergence across the Persianate world. Manuscript production in India ran strong into the 19th century, and the Indian madrasa canon that matured in that period weighted the rational sciences, logic, philosophical theology, astronomy,…

When western Indian manuscript production moved from palm leaf to paper, pages kept palm-leaf proportions and painted vestigial string-hole medallions — that much is known. The unestablished structure is the shedding schedule: vestiges should die in a fixed order, the functional trace…

Imitation coinages degrading over copy-generations — Celtic staters from Philip II's gold, sceattas from Roman types, Indian imitations of Kushan issues — are a numismatic classic. The unestablished universal is an order of decay: under illiterate copying, legend legibility collapses into pseudo-letters…

Palm-leaf manuscripts in most of South Asia decayed within a few centuries, so every old text we have is the survivor of repeated recopying — but the interval of that treadmill has only ever been guessed at, never measured. Scribes, however, sometimes…

The Kathmandu Valley combined a cool dry climate, political continuity, and unbroken scribal institutions, which made it a slow-decay reservoir inside a fast-decay subcontinent. If that is right, Nepal should hold the oldest surviving witnesses not just of Nepalese works but of…

The famous millions of South Asian manuscripts hide a simpler and more dangerous statistic: how many copies each distinct work survives in. A recopying economy driven by curriculum and ritual demand should concentrate copies on a small canon while leaving the long…

Histograms of Sanskrit intellectual activity — authors per century, works per century — show a striking swell between roughly 1400 and 1800, often narrated as an early-modern efflorescence. But authors are dated largely through surviving manuscripts, and manuscripts survive on a decay…

South Asianists agree the extant corpus is a fraction of what was written, but the fraction has rarely been given a number with a method behind it. Ecology has the method: mark-recapture, where the overlap between two independent samples of a population…

From about the twelfth century, Sanskrit legal culture produced nibandhas — massive topical digests that excerpted the older smṛti texts so thoroughly that a working jurist no longer needed the originals. On a recopying treadmill, not being needed is a death sentence:…

Educational canons look immovable until they are replaced, and then the replacement is nearly total, because a curriculum is a coordination game — teachers teach what other teachers teach. Sanskrit grammar offers a clean natural experiment: the seventeenth-century reorganization of Pāṇinian teaching…

Early śāstra assumed a living teacher: the terse mūla was written and the explanation was breathed. But a text on the recopying treadmill can outrun its own teaching lineage, arriving in places and centuries where nobody holds the oral key — and…

Everyone says commentaries kept Sanskrit texts alive; nobody says by how much, and an unquantified truism is doctrine, not knowledge. On the recopying treadmill a commentary multiplies its root text's survival through three concrete channels: it adds a second copying constituency, it…

For heavily taught śāstra texts the commentary was the working format: students met the sūtras already wrapped in explanation, and the bare root text became a specialist's object. Copying demand should therefore invert the intuitive hierarchy — the derivative outnumbers the original…

Sanskrit copyists closed manuscripts with stock verses of complaint and disclaimer — the broken back, the dimming eye, the plea to blame the exemplar for errors. These verses are texts too, but they travelled by a channel no catalogue models: scribe-to-scribe and…

Pre-print South Asia ran several calendars at once — Vikrama, Śaka, Nepal Samvat, Kali years — and a scribe's choice among them was not free: it followed community, liturgical habit, and local administrative practice. A colophon's era system is therefore a barcode,…

Manuscript populations have age pyramids, like human populations, and the pyramid's shape records the demography of the institution that did the copying. Hindu texts in Nepal were reproduced continuously by household paṇḍits and temple scribes into the nineteenth century, which should give…

Recopying frequency should be set by consultation frequency: a text checked constantly wears out and is replaced on a shorter clock than a text recited from memory or shelved for prestige. Jyotiṣa — the astral-science literature used for calendars, horoscopes, and the…

Every locality in pre-print South Asia needed a fresh calendrical almanac every year, produced by the thousands for immediate use — plausibly the highest-volume written genre of the subcontinent. Yet consumables do not enter archives: an expired pañcāṅga is waste palm-leaf, while…

Subhāṣita anthologies — the medieval collections of quotable verses — sampled the poetry of their day the way a sediment core samples a vanished lake: verse by verse, with attributions, from whatever was circulating. Because the anthologist sampled circulation while the recopying…

Two selection pressures squeezed Sanskrit works from opposite ends of the length scale: very long works cost too much to recopy whole, while very short works were absorbed into anthologies and compilations and lost independent circulation. The surviving population of independently transmitted…

Sanskrit works advertise their sizes — the śataka's hundred verses, the sahasra's thousand, the seven hundred of famous saptaśatīs — because a round or auspicious count was itself a literary form and a marketing claim. If the form mattered, the length distribution…

Nearly every Sanskrit work opens with a maṅgala verse saluting a deity, and the choice of deity was constrained by the author's sectarian formation even when the work's subject was neutral — a grammarian's Gaṇeśa or Śiva was inherited, not selected for…

A large share of South Asian manuscripts are multi-text bundles — several works copied together in one pothi — and what travels together was studied together: the bundle fossilizes a teacher's or owner's working set. Aggregated over thousands of manuscripts, co-occurrence should…

A pothi is an unbound stack: its first and last leaves absorb the abrasion, damp, and rodents for the whole book, and those are precisely the leaves carrying title, author, and colophon. Much of the anonymous and unidentified matter clogging South Asian…

A palm leaf's size is set by the palm, but how much writing a scribe packs onto it is set by economics and use: reference reading rewards density, recitation support rewards legibility, and copying-for-sale rewards material economy. As śāstra culture shifted toward…

When paper reached the Himalayan and North Indian copying world it did not replace palm leaf uniformly: substrate choice was a statement about a text's dignity, and ritual conservatism priced purity into the material. Adoption should therefore be genre-ordered — almanacs and…

Pre-print South Asia split its writing between media by time-horizon: perpetual claims — land grants, endowments — went onto copper and stone, while knowledge went onto perishable leaf, to be renewed by recopying. If that split was a functioning division of labour…

Thousands of copper-plate grants record their brahmin donees with gotra and Vedic śākhā — which recension each man was trained to recite — because the gift's ritual efficacy depended on it. Read together, the plates are something the manuscript record can never…

Hero-stones — memorials to men killed in cattle raids and local battles — carpet the pastoral and frontier zones of the Deccan and western India, dated and localized by the thousand. Sanskrit knowledge production, by contrast, ran on agrarian surplus channelled through…

The men who composed copper-plate praśastis were trained kāvya poets, and some signed their names on the plates themselves. If the same labour pool wrote plate eulogies and transmitted literature, a measurable fraction of named plate poets should reappear in the prosopography…

A copper-plate grant needed only the legal facts, yet over the centuries grants swelled from terse deeds into long genealogical praśastis running to hundreds of lines — and engraving cost scales with length, so the inflation was a paid-for choice. The cheapest…

Temple donative inscriptions across South Asia record substantial female donor shares: religious giving was a recognized women's economy, carved in stone by the thousand. Manuscript colophons also record commissioning patrons, and if the same merit economy governed book-making, female patronage should appear…

The Vedic recitational system, deliberately oral in its product, still generated a written maintenance literature — prātiśākhyas, śikṣā treatises, pada- and krama-text aids, accent manuals — because the error-correcting apparatus itself needed stable specification, and specification is exactly what writing is good…