Pith Number

pith:BF3ONUT6

pith:2012:BF3ONUT6D6YNZYP23RPY6UTUIH

not attested not anchored not stored refs pending

Standard components of a Krull-Schmidt category

Charles Paquette, Shiping Liu

arxiv:1208.5032 v1 · 2012-08-24 · 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{BF3ONUT6D6YNZYP23RPY6UTUIH}

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	2026-05-18T03:47:52.056643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0976e6d27e1fb0dce1fadc5f8f527441da7a27953996a5b07302ab03b1d95a75

Aliases

arxiv: 1208.5032 · arxiv_version: 1208.5032v1 · doi: 10.48550/arxiv.1208.5032 · pith_short_12: BF3ONUT6D6YN · pith_short_16: BF3ONUT6D6YNZYP2 · pith_short_8: BF3ONUT6

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/BF3ONUT6D6YNZYP23RPY6UTUIH \
  | 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: 0976e6d27e1fb0dce1fadc5f8f527441da7a27953996a5b07302ab03b1d95a75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d29b4b18a76c19ac7c7ae583be5a514cf3c79cc8be497b9f71f480bb089bde62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-08-24T18:47:42Z",
    "title_canon_sha256": "7a77d5b800351575738e61038881772ac1ef47df7801f1e13aa2ad6442839d44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5032",
    "kind": "arxiv",
    "version": 1
  }
}