Pith Number

pith:2WOCKP27

pith:2013:2WOCKP27EXUXK7J52CHRY5EODR

not attested not anchored not stored refs pending

Hattori-Stallings trace and character

Yang Han

arxiv:1302.7095 v1 · 2013-02-28 · math.KT · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2WOCKP27EXUXK7J52CHRY5EODR}

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	2026-05-18T03:32:17.475526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d59c253f5f25e9757d3dd08f1c748e1c441fb8f98ce84e1636ec4dfc91b50cfb

Aliases

arxiv: 1302.7095 · arxiv_version: 1302.7095v1 · doi: 10.48550/arxiv.1302.7095 · pith_short_12: 2WOCKP27EXUX · pith_short_16: 2WOCKP27EXUXK7J5 · pith_short_8: 2WOCKP27

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/2WOCKP27EXUXK7J52CHRY5EODR \
  | 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: d59c253f5f25e9757d3dd08f1c748e1c441fb8f98ce84e1636ec4dfc91b50cfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d022ca95e49a98bafe7fc41fdd3ebebfeb45e4a2ba5bee7024cfa4937b3d54ae",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2013-02-28T06:27:19Z",
    "title_canon_sha256": "6486a7552e14c9d4a93c447f8fee715e43109deb59f109c6bb5ae7f6426f5e64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.7095",
    "kind": "arxiv",
    "version": 1
  }
}