Pith Number

pith:F7CYISDE

pith:2002:F7CYISDEBO326L2WBLTRKDGWOA

not attested not anchored not stored refs pending

From tracial anomalies to anomalies in Quantum Field Theory

Alexander Cardona, Catherine Ducourtioux, Sylvie Paycha

arxiv:math-ph/0207029 v1 · 2002-07-22 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F7CYISDEBO326L2WBLTRKDGWOA}

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	2026-05-18T04:17:27.185415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fc58448640bb7af2f560ae7150cd67024ad4d45f5bc81a9408b13b6d51ec857

Aliases

arxiv: math-ph/0207029 · arxiv_version: math-ph/0207029v1 · doi: 10.48550/arxiv.math-ph/0207029 · pith_short_12: F7CYISDEBO32 · pith_short_16: F7CYISDEBO326L2W · pith_short_8: F7CYISDE

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/F7CYISDEBO326L2WBLTRKDGWOA \
  | 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: 2fc58448640bb7af2f560ae7150cd67024ad4d45f5bc81a9408b13b6d51ec857

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdf9d0908ebbf9e0938edf3f82eeb99270bf5840817368ab9ee870d8019ec9f4",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2002-07-22T12:50:41Z",
    "title_canon_sha256": "1f80c6b182b068abe43b6b6105688ce390b8b5ade4af22ee1276a70489920499"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0207029",
    "kind": "arxiv",
    "version": 1
  }
}