Pith Number

pith:BJCK3BOW

pith:1999:BJCK3BOWP4MM62D65HPVXQO2SJ

not attested not anchored not stored refs pending

A categorification of the Jones polynomial

Mikhail Khovanov

arxiv:math/9908171 v2 · 1999-08-30 · 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{BJCK3BOWP4MM62D65HPVXQO2SJ}

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

5 papers in Pith

More on Kashaev limits of the quantum $A$-polynomials

Categorification of some Penrose polynomials

Khovanov complexes for bipartite links

A supergroup series for knot complements

Reductions in Khovanov-Rozansky operator formalism

Receipt and verification

First computed	2026-07-04T14:48:33.476802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a44ad85d67f18cf687ee9df5bc1da9257e9d1bd236695c66ec598ccb8be1259

Aliases

arxiv: math/9908171 · arxiv_version: math/9908171v2 · doi: 10.48550/arxiv.math/9908171 · pith_short_12: BJCK3BOWP4MM · pith_short_16: BJCK3BOWP4MM62D6 · pith_short_8: BJCK3BOW

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/BJCK3BOWP4MM62D65HPVXQO2SJ \
  | 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: 0a44ad85d67f18cf687ee9df5bc1da9257e9d1bd236695c66ec598ccb8be1259

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9aeacdba69ee8dc9d92f0a48eda17568221fe651f7f31c8cd0e59c089c5d191b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "1999-08-30T22:53:01Z",
    "title_canon_sha256": "cbb081743ba39bee6dfb3292077a06137ac6f8ee708cc8e81f49b700aec6591e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9908171",
    "kind": "arxiv",
    "version": 2
  }
}