Pith Number

pith:B562HLZD

pith:2002:B562HLZD4T3JLAN7SUOC47CFKI

not attested not anchored not stored refs pending

Rationality, Regularity, and C_2-cofiniteness

C. Dong, G. Buhl, T. Abe

arxiv:math/0204021 v1 · 2002-04-01 · 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{B562HLZD4T3JLAN7SUOC47CFKI}

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	2026-07-04T14:36:00.593100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f7da3af23e4f69581bf951c2e7c455221a28d029163b9b29cfd1737036e222a

Aliases

arxiv: math/0204021 · arxiv_version: math/0204021v1 · doi: 10.48550/arxiv.math/0204021 · pith_short_12: B562HLZD4T3J · pith_short_16: B562HLZD4T3JLAN7 · pith_short_8: B562HLZD

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/B562HLZD4T3JLAN7SUOC47CFKI \
  | 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: 0f7da3af23e4f69581bf951c2e7c455221a28d029163b9b29cfd1737036e222a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e961216e754b26de67781de72a9c80e351f286b1646b42eaccb135eaf25b44cd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2002-04-01T23:38:28Z",
    "title_canon_sha256": "761ee911668dba52fd0cae3fbb626c2c0de612b8ee9d65fc9b1726fd42f36174"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0204021",
    "kind": "arxiv",
    "version": 1
  }
}