Pith Number

pith:5AP5N6BF

pith:2012:5AP5N6BFQEO3OAD23HIK7NCI3S

not attested not anchored not stored refs pending

Computations of the Lipshitz-Sarkar Steenrod Square on Khovanov Homology

Cotton Seed

arxiv:1210.1882 v1 · 2012-10-05 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5AP5N6BFQEO3OAD23HIK7NCI3S}

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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	2026-05-18T03:43:51.679213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e81fd6f825811db7007ad9d0afb448dca2e8139480333489c7002a32cdb682fe

Aliases

arxiv: 1210.1882 · arxiv_version: 1210.1882v1 · doi: 10.48550/arxiv.1210.1882 · pith_short_12: 5AP5N6BFQEO3 · pith_short_16: 5AP5N6BFQEO3OAD2 · pith_short_8: 5AP5N6BF

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/5AP5N6BFQEO3OAD23HIK7NCI3S \
  | 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: e81fd6f825811db7007ad9d0afb448dca2e8139480333489c7002a32cdb682fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98ad81efd6f257a666a1c540f4cde506da3b94003909cac29a15cc25875b62ab",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-10-05T22:28:50Z",
    "title_canon_sha256": "b959205830c7a08151804cfd6c4753c4ed43c028bb5c0ece0baf6010e1d1ebc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1882",
    "kind": "arxiv",
    "version": 1
  }
}