Pith Number

pith:ANFC44M3

pith:2012:ANFC44M3I5JSK5XFVS7IIB4MEQ

not attested not anchored not stored refs pending

The dual notion of strong irreducibility

Christian Lomp, Jawad Abuhlail

arxiv:1207.4227 v1 · 2012-07-17 · 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{ANFC44M3I5JSK5XFVS7IIB4MEQ}

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	2026-05-18T01:04:38.075957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

034a2e719b47532576e5acbe84078c240684d9e2b4e2e0d7ac066ea56d0fcb52

Aliases

arxiv: 1207.4227 · arxiv_version: 1207.4227v1 · doi: 10.48550/arxiv.1207.4227 · pith_short_12: ANFC44M3I5JS · pith_short_16: ANFC44M3I5JSK5XF · pith_short_8: ANFC44M3

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/ANFC44M3I5JSK5XFVS7IIB4MEQ \
  | 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: 034a2e719b47532576e5acbe84078c240684d9e2b4e2e0d7ac066ea56d0fcb52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3cd455e4eb4d570d9a2aca9d245f5f472900ca32973f8f9b21f18c79b9f23e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-07-17T22:14:55Z",
    "title_canon_sha256": "2e8761a0593f92631621ddeab293b7e9dce08e150b4f61effcec051b079fee06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4227",
    "kind": "arxiv",
    "version": 1
  }
}