Pith Number

pith:OHEE32JG

pith:2011:OHEE32JGUSMK4RVY6SQGBRJJK2

not attested not anchored not stored refs pending

Factorizable enriched categories and applications

Aura B\^arde\c{s}, Drago\c{s} \c{S}tefan

arxiv:1112.0781 v1 · 2011-12-04 · math.CT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OHEE32JGUSMK4RVY6SQGBRJJK2}

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	2026-05-18T04:07:05.636164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71c84de926a498ae46b8f4a060c529568d86d7355f9e99e963a0ae114858483b

Aliases

arxiv: 1112.0781 · arxiv_version: 1112.0781v1 · doi: 10.48550/arxiv.1112.0781 · pith_short_12: OHEE32JGUSMK · pith_short_16: OHEE32JGUSMK4RVY · pith_short_8: OHEE32JG

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/OHEE32JGUSMK4RVY6SQGBRJJK2 \
  | 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: 71c84de926a498ae46b8f4a060c529568d86d7355f9e99e963a0ae114858483b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fe2a995ff222378ac3b0d81dfecf65fc62404c9de0972995af8e331ee403d43",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2011-12-04T17:43:09Z",
    "title_canon_sha256": "71976a8352e4bffa86b92b00b153f01baf1060840c5fc33d5678d8d6041ea4b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0781",
    "kind": "arxiv",
    "version": 1
  }
}