Pith Number

pith:VBNTVFW3

pith:2012:VBNTVFW3FDJVPIDZSDF75QCDA4

not attested not anchored not stored refs pending

Locally finitely presented categories with no flat objects

Manuel Saorin, Sergio Estrada

arxiv:1204.5681 v1 · 2012-04-25 · math.CT · math.AG · 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{VBNTVFW3FDJVPIDZSDF75QCDA4}

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	2026-05-18T03:57:01.645234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a85b3a96db28d357a07990cbfec043071f4ff27523e4d5d23cc0913c36be4ef0

Aliases

arxiv: 1204.5681 · arxiv_version: 1204.5681v1 · doi: 10.48550/arxiv.1204.5681 · pith_short_12: VBNTVFW3FDJV · pith_short_16: VBNTVFW3FDJVPIDZ · pith_short_8: VBNTVFW3

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/VBNTVFW3FDJVPIDZSDF75QCDA4 \
  | 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: a85b3a96db28d357a07990cbfec043071f4ff27523e4d5d23cc0913c36be4ef0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4971d0877b976e982bcbd66d75d0032bc180bafc2fb37003d2057c8e01a759eb",
    "cross_cats_sorted": [
      "math.AG",
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2012-04-25T15:30:46Z",
    "title_canon_sha256": "551d7131ac2a37cd3ebb489b2187ec934e6fc55d4041b4bf7eee25a321861799"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5681",
    "kind": "arxiv",
    "version": 1
  }
}