Pith Number

pith:M752TC2W

pith:2005:M752TC2WZZ6QZBLVBIAMWUJQLS

not attested not anchored not stored refs pending

Khovanov's invariant for closed surfaces

Jacob Rasmussen

arxiv:math/0502527 v1 · 2005-02-24 · math.GT · 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{M752TC2WZZ6QZBLVBIAMWUJQLS}

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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

Notes on Khovanov homology

Receipt and verification

First computed	2026-07-04T14:39:44.935301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67fba98b56ce7d0c85750a00cb51305c8cc8e236e95a2ec7e506e682ddb8742f

Aliases

arxiv: math/0502527 · arxiv_version: math/0502527v1 · doi: 10.48550/arxiv.math/0502527 · pith_short_12: M752TC2WZZ6Q · pith_short_16: M752TC2WZZ6QZBLV · pith_short_8: M752TC2W

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/M752TC2WZZ6QZBLVBIAMWUJQLS \
  | 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: 67fba98b56ce7d0c85750a00cb51305c8cc8e236e95a2ec7e506e682ddb8742f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7f971675a2999a36a1331e3673fd2dc482f175ebe493c6084da8b993b7bf06f",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2005-02-24T20:26:03Z",
    "title_canon_sha256": "606f2a2ab159ae386dd7c2065f28c674ae56398b01076b5b108ff555bfb7263a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0502527",
    "kind": "arxiv",
    "version": 1
  }
}