Pith Number

pith:642PRWNM

pith:2004:642PRWNMMH5NUXFUYETNG4XTUB

not attested not anchored not stored refs pending

Is tame open?

Yang Han

arxiv:math/0403087 v2 · 2004-03-04 · math.RT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{642PRWNMMH5NUXFUYETNG4XTUB}

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	2026-07-04T14:38:17.314732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f734f8d9ac61fada5cb4c126d372f3a0503bb97d7e325e944a034b1a2f74446a

Aliases

arxiv: math/0403087 · arxiv_version: math/0403087v2 · doi: 10.48550/arxiv.math/0403087 · pith_short_12: 642PRWNMMH5N · pith_short_16: 642PRWNMMH5NUXFU · pith_short_8: 642PRWNM

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/642PRWNMMH5NUXFUYETNG4XTUB \
  | 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: f734f8d9ac61fada5cb4c126d372f3a0503bb97d7e325e944a034b1a2f74446a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fd0f10e6e74c26fed17ecc677836cb785506380847b083e0d2ee9971559abaa",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2004-03-04T02:47:33Z",
    "title_canon_sha256": "655b977a86a968670893275b8f829d85732917c30ab58bfdeabf7235baae1faf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0403087",
    "kind": "arxiv",
    "version": 2
  }
}