Pith Number

pith:XMQCE4BQ

pith:2018:XMQCE4BQD74WW4UKE45LJ7MYPY

not attested not anchored not stored refs pending

Biquandle cohomology and state-sum invariants of links and surface-links

Akio Kawauchi, Jieon Kim, Sang Youl Lee, Seiichi Kamada

arxiv:1803.03137 v1 · 2018-03-07 · 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{XMQCE4BQD74WW4UKE45LJ7MYPY}

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	2026-05-18T00:21:44.344295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb202270301ff96b728a273ab4fd987e07b3ac2e02793c68cc0b09e2d74174f6

Aliases

arxiv: 1803.03137 · arxiv_version: 1803.03137v1 · doi: 10.48550/arxiv.1803.03137 · pith_short_12: XMQCE4BQD74W · pith_short_16: XMQCE4BQD74WW4UK · pith_short_8: XMQCE4BQ

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/XMQCE4BQD74WW4UKE45LJ7MYPY \
  | 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: bb202270301ff96b728a273ab4fd987e07b3ac2e02793c68cc0b09e2d74174f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b4f5e5127eb953119e5bb1c90244419d3e80147ef274b6bfc40bfcaec90fc03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-03-07T07:44:39Z",
    "title_canon_sha256": "f2771d4ba363f5e38611b09128a951297e6cfbb1198d9658db7f32ff3f45a92d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03137",
    "kind": "arxiv",
    "version": 1
  }
}