Pith Number

pith:NLEEK3EM

pith:1999:NLEEK3EM3BRROM5GKLY7IYHQTS

not attested not anchored not stored refs pending

Twisting invariance of link polynomials derived from ribbon quasi-Hopf algebras

J.R. Links, M.D. Gould, Y.-Z. Zhang

arxiv:math/9904069 v1 · 1999-04-15 · 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{NLEEK3EM3BRROM5GKLY7IYHQTS}

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	2026-05-18T01:38:22.599975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ac8456c8cd8631733a652f1f460f09cb39432d737c6bd7272ca262e377c59c5

Aliases

arxiv: math/9904069 · arxiv_version: math/9904069v1 · doi: 10.48550/arxiv.math/9904069 · pith_short_12: NLEEK3EM3BRR · pith_short_16: NLEEK3EM3BRROM5G · pith_short_8: NLEEK3EM

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/NLEEK3EM3BRROM5GKLY7IYHQTS \
  | 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: 6ac8456c8cd8631733a652f1f460f09cb39432d737c6bd7272ca262e377c59c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa58e30e8ef01e15a98cfb58e69c724074757dd1b7b4e33b5eaf41751eeeb3c9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "1999-04-15T01:41:45Z",
    "title_canon_sha256": "510229cc0631f3f2b9135e71c70f94f847f280d1569ccc24874377965a464ebd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9904069",
    "kind": "arxiv",
    "version": 1
  }
}