Pith Number

pith:GWEG6QQJ

pith:2012:GWEG6QQJJF3IGSCPQUDGTGE3WC

not attested not anchored not stored refs pending

Cycle-finite module categories

Andrzej Skowro\'nski, Jos\'e A. de la Pe\~na, Piotr Malicki

arxiv:1203.3397 v1 · 2012-03-15 · 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{GWEG6QQJJF3IGSCPQUDGTGE3WC}

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	2026-05-18T03:09:23.002157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35886f4209497683484f850669989bb09f3bd487e30f867fe99535353212b6a8

Aliases

arxiv: 1203.3397 · arxiv_version: 1203.3397v1 · doi: 10.48550/arxiv.1203.3397 · pith_short_12: GWEG6QQJJF3I · pith_short_16: GWEG6QQJJF3IGSCP · pith_short_8: GWEG6QQJ

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/GWEG6QQJJF3IGSCPQUDGTGE3WC \
  | 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: 35886f4209497683484f850669989bb09f3bd487e30f867fe99535353212b6a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d20fa0ccaf37e2232acbc424c9c160e214f98ba0d03c5ef8d93f81c59ba8bf6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-03-15T15:44:32Z",
    "title_canon_sha256": "5aa60fa8def4cd953bcbe75f6ebe7dfdc507a725334799aacfc5499bca478853"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3397",
    "kind": "arxiv",
    "version": 1
  }
}