Pith Number

pith:4KEEJO2B

pith:2012:4KEEJO2BNP3MZ5M45EKI4RR2QG

not attested not anchored not stored refs pending

Structure for Regular Inclusions

David R. Pitts

arxiv:1202.6413 v2 · 2012-02-28 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4KEEJO2BNP3MZ5M45EKI4RR2QG}

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	2026-05-18T03:58:24.242331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e28844bb416bf6ccf59ce9148e463a81a7d5fb04669b8084035b28cc1af02d3d

Aliases

arxiv: 1202.6413 · arxiv_version: 1202.6413v2 · doi: 10.48550/arxiv.1202.6413 · pith_short_12: 4KEEJO2BNP3M · pith_short_16: 4KEEJO2BNP3MZ5M4 · pith_short_8: 4KEEJO2B

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/4KEEJO2BNP3MZ5M45EKI4RR2QG \
  | 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: e28844bb416bf6ccf59ce9148e463a81a7d5fb04669b8084035b28cc1af02d3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "370f90637c282778aefc5cb321462294e3bfc4e6c63ca4c3cc4444ab927ec720",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-02-28T23:55:58Z",
    "title_canon_sha256": "6a08d5084c59680bb4fd0b85128f1642a0638b0e901c2a6af9cdaead6077bea6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.6413",
    "kind": "arxiv",
    "version": 2
  }
}