Pith Number

pith:3Q5TNBMA

pith:1996:3Q5TNBMACMFXRWWJNFSH5J25KG

not attested not anchored not stored refs pending

On the q-analog of homological algebra

M.M. Kapranov

arxiv:q-alg/9611005 v1 · 1996-11-04 · q-alg · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3Q5TNBMACMFXRWWJNFSH5J25KG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Operational Calculus on Curved Differentials: Optimal N-Complex Bounds and Persistent Homology

Receipt and verification

First computed	2026-05-18T01:05:07.414665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc3b368580130b78dac969647ea75d51af8a719899db5bb9d25c4525b9d7c535

Aliases

arxiv: q-alg/9611005 · arxiv_version: q-alg/9611005v1 · doi: 10.48550/arxiv.q-alg/9611005 · pith_short_12: 3Q5TNBMACMFX · pith_short_16: 3Q5TNBMACMFXRWWJ · pith_short_8: 3Q5TNBMA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3Q5TNBMACMFXRWWJNFSH5J25KG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: dc3b368580130b78dac969647ea75d51af8a719899db5bb9d25c4525b9d7c535

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "283971bbe1de66fffc2f0194f2b646f789870ff07634625dc2ace342121d3000",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "q-alg",
    "submitted_at": "1996-11-04T16:22:57Z",
    "title_canon_sha256": "1b1cd40a5f44ee58d8b409fe4092141458f06c06ca58b83438ea766676d4a878"
  },
  "schema_version": "1.0",
  "source": {
    "id": "q-alg/9611005",
    "kind": "arxiv",
    "version": 1
  }
}