Pith Number

pith:HQUIKNZR

pith:2005:HQUIKNZRU6BCBOSMINU33FKPBT

not attested not anchored not stored refs pending

Symbolic computation with finite quandles

Richard Henderson, Sam Nelson, Todd Macedo

arxiv:math/0508351 v2 · 2005-08-18 · 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{HQUIKNZRU6BCBOSMINU33FKPBT}

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	2026-07-04T14:50:36.708760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c28853731a78220ba4c4369bd954f0cf8b1aec144ee530138af8b09b6673ba1

Aliases

arxiv: math/0508351 · arxiv_version: math/0508351v2 · doi: 10.48550/arxiv.math/0508351 · pith_short_12: HQUIKNZRU6BC · pith_short_16: HQUIKNZRU6BCBOSM · pith_short_8: HQUIKNZR

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/HQUIKNZRU6BCBOSMINU33FKPBT \
  | 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: 3c28853731a78220ba4c4369bd954f0cf8b1aec144ee530138af8b09b6673ba1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ef7bc90bc2cb2acd0aaf073416a7410b4d97c0a279864e18779c3d4ad96e18d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2005-08-18T17:41:17Z",
    "title_canon_sha256": "dd539733d7dc01c619f607f1834bcee3db8c83f752afae335654c8d6e1ed54ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508351",
    "kind": "arxiv",
    "version": 2
  }
}