Pith Number

pith:XFR4LE6K

pith:2002:XFR4LE6KBBWWRRHTTBVN5XPHDR

not attested not anchored not stored refs pending

On Khovanov's categorification of the Jones polynomial

Dror Bar-Natan

arxiv:math/0201043 v3 · 2002-01-07 · math.QA · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XFR4LE6KBBWWRRHTTBVN5XPHDR}

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

Khovanov complexes for bipartite links

Receipt and verification

First computed	2026-05-18T02:41:33.163454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b963c593ca086d68c4f3986adedde71c44e55aadb04452c6e29ed17ae130e4b1

Aliases

arxiv: math/0201043 · arxiv_version: math/0201043v3 · doi: 10.48550/arxiv.math/0201043 · pith_short_12: XFR4LE6KBBWW · pith_short_16: XFR4LE6KBBWWRRHT · pith_short_8: XFR4LE6K

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/XFR4LE6KBBWWRRHTTBVN5XPHDR \
  | 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: b963c593ca086d68c4f3986adedde71c44e55aadb04452c6e29ed17ae130e4b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72aaaa4df09a31262e1b5251207dd490a7bbfa3679ed1587e00fd25affd162b8",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2002-01-07T18:18:14Z",
    "title_canon_sha256": "d59169ef0b8159fd273da488b93783054d418d943c2e5e97e30d339e0f4ce890"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0201043",
    "kind": "arxiv",
    "version": 3
  }
}