Pith Number

pith:NDA6MERF

pith:1999:NDA6MERFM5MGQ4HACPZUTPP2PR

not attested not anchored not stored refs pending

Quandle Cohomology and State-sum Invariants of Knotted Curves and Surfaces

Daniel Jelsovsky (Univ. of South Florida), J. Scott Carter (Univ. of South Alabama), Laurel Langford (Univ. of Wisconsin at River Falls), Masahico Saito (Univ. of South Florida), Seiichi Kamada (Osaka City Univ)

arxiv:math/9903135 v3 · 1999-03-23 · 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{NDA6MERFM5MGQ4HACPZUTPP2PR}

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

Zesting and the relative complexity of Reshetikhin-Turaev invariants

Receipt and verification

First computed	2026-07-04T14:41:05.681300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68c1e6122567586870e013f349bdfa7c4640f67b6d6321a85f2d1c7c9c884ad3

Aliases

arxiv: math/9903135 · arxiv_version: math/9903135v3 · doi: 10.48550/arxiv.math/9903135 · pith_short_12: NDA6MERFM5MG · pith_short_16: NDA6MERFM5MGQ4HA · pith_short_8: NDA6MERF

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/NDA6MERFM5MGQ4HACPZUTPP2PR \
  | 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: 68c1e6122567586870e013f349bdfa7c4640f67b6d6321a85f2d1c7c9c884ad3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60ac448a26baf0aa9a81655e23705ca7742d95a6ebff641096fa306d429f48b4",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1999-03-23T15:08:28Z",
    "title_canon_sha256": "31cb40db5758d6c86282d894721d8c4c7b3afbb536bb92a7132872a1299493fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9903135",
    "kind": "arxiv",
    "version": 3
  }
}