Pith Number

pith:UGSC567H

pith:2007:UGSC567HH3RTKLLXTILWWGHOP3

not attested not anchored not stored refs pending

A polynomial invariant of finite quandles

Sam Nelson

arxiv:math/0702038 v3 · 2007-02-02 · math.QA · 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{UGSC567HH3RTKLLXTILWWGHOP3}

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	2026-07-04T15:13:33.653891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1a42efbe73ee3352d779a176b18ee7eca287353ae5b36f4b7cc559fca376b78

Aliases

arxiv: math/0702038 · arxiv_version: math/0702038v3 · doi: 10.48550/arxiv.math/0702038 · pith_short_12: UGSC567HH3RT · pith_short_16: UGSC567HH3RTKLLX · pith_short_8: UGSC567H

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/UGSC567HH3RTKLLXTILWWGHOP3 \
  | 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: a1a42efbe73ee3352d779a176b18ee7eca287353ae5b36f4b7cc559fca376b78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c919c7766d1c0184434452b6c53f7e0c41ba08ec322485dda89cc323c1024205",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2007-02-02T00:33:19Z",
    "title_canon_sha256": "3a17e136993ff6da94a9dabbc47bb811ebd409316d691bb76b9f2a603133229a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702038",
    "kind": "arxiv",
    "version": 3
  }
}