Pith Number

pith:JRZILIQI

pith:2012:JRZILIQI4G7GORANL2CGPGZATL

not attested not anchored not stored refs pending

Abelian categories and definable additive categories

Mike Prest

arxiv:1202.0426 v1 · 2012-02-02 · math.CT · math.LO · 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{JRZILIQI4G7GORANL2CGPGZATL}

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	2026-05-18T04:03:18.316346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c7285a208e1be67440d5e84679b209ad1fa1bb97ab30dd3bc0f20d3fe2726d6

Aliases

arxiv: 1202.0426 · arxiv_version: 1202.0426v1 · doi: 10.48550/arxiv.1202.0426 · pith_short_12: JRZILIQI4G7G · pith_short_16: JRZILIQI4G7GORAN · pith_short_8: JRZILIQI

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/JRZILIQI4G7GORANL2CGPGZATL \
  | 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: 4c7285a208e1be67440d5e84679b209ad1fa1bb97ab30dd3bc0f20d3fe2726d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c9f99ecbf12ded0770c40afc303f26b0456c47b1fca5a64ec924f25ed8024b0",
    "cross_cats_sorted": [
      "math.LO",
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2012-02-02T13:16:09Z",
    "title_canon_sha256": "e620c42840dbb3adb23c507fd455106f12ad550012177263c4a6c29d497887f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0426",
    "kind": "arxiv",
    "version": 1
  }
}