Pith Number

pith:NEJ3LQJL

pith:2016:NEJ3LQJLRMRU5QUDQ7OMWOUIX3

not attested not anchored not stored refs pending

Kauffman states, bordered algebras, and a bigraded knot invariant

Peter Ozsvath, Zoltan Szabo

arxiv:1603.06559 v3 · 2016-03-21 · math.GT · math.QA · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NEJ3LQJLRMRU5QUDQ7OMWOUIX3}

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.

Receipt and verification

First computed	2026-05-18T00:24:31.856189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6913b5c12b8b234ec28387dccb3a88befb3b4a36e1325274fd59846f46d2753e

Aliases

arxiv: 1603.06559 · arxiv_version: 1603.06559v3 · doi: 10.48550/arxiv.1603.06559 · pith_short_12: NEJ3LQJLRMRU · pith_short_16: NEJ3LQJLRMRU5QUD · pith_short_8: NEJ3LQJL

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/NEJ3LQJLRMRU5QUDQ7OMWOUIX3 \
  | 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: 6913b5c12b8b234ec28387dccb3a88befb3b4a36e1325274fd59846f46d2753e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf226240f2fe5fa5e8e52bda231cfe2a5a3ec4a3d616a741b86ce5b7bcbabb32",
    "cross_cats_sorted": [
      "math.QA",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-03-21T19:46:32Z",
    "title_canon_sha256": "5d29f5d019c7ad48f9cfa0a1ed9cd6506f972937c59821fe1068dab0ef3d01f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06559",
    "kind": "arxiv",
    "version": 3
  }
}