Pith Number

pith:7KATKKID

pith:2011:7KATKKIDU7IDP7E2CXRCXZSGK2

not attested not anchored not stored refs pending

Classification of modules not lying on short chains

Alicja Jaworska, Andrzej Skowro\'nski, Piotr Malicki

arxiv:1112.3464 v1 · 2011-12-15 · 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{7KATKKIDU7IDP7E2CXRCXZSGK2}

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	2026-05-18T03:04:59.792868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa81352903a7d037fc9a15e22be64656845c83390ce2683d5976f7529e284c47

Aliases

arxiv: 1112.3464 · arxiv_version: 1112.3464v1 · doi: 10.48550/arxiv.1112.3464 · pith_short_12: 7KATKKIDU7ID · pith_short_16: 7KATKKIDU7IDP7E2 · pith_short_8: 7KATKKID

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/7KATKKIDU7IDP7E2CXRCXZSGK2 \
  | 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: fa81352903a7d037fc9a15e22be64656845c83390ce2683d5976f7529e284c47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da929c9dbab8f5dcd65acecaa7fce7c005b3de8f284cf076da375a4d2d43c83f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-12-15T09:48:29Z",
    "title_canon_sha256": "84505417b0c902214e07e03b66891ac70d5df92f3daa349ae02d0517b353b320"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3464",
    "kind": "arxiv",
    "version": 1
  }
}