Pith Number

pith:QYOV25HP

pith:2015:QYOV25HPK5ZCM43W2BNW3JH7IV

not attested not anchored not stored refs pending

Cartesian modules over representations of small categories

Sergio Estrada, Simone Virili

arxiv:1505.07086 v1 · 2015-05-26 · math.RA · math.AG · math.AT · 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{QYOV25HPK5ZCM43W2BNW3JH7IV}

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	2026-05-18T02:03:27.211952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

861d5d74ef5772267376d05b6da4ff4573573ad09a5da2a5bee3b845fb77175e

Aliases

arxiv: 1505.07086 · arxiv_version: 1505.07086v1 · doi: 10.48550/arxiv.1505.07086 · pith_short_12: QYOV25HPK5ZC · pith_short_16: QYOV25HPK5ZCM43W · pith_short_8: QYOV25HP

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/QYOV25HPK5ZCM43W2BNW3JH7IV \
  | 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: 861d5d74ef5772267376d05b6da4ff4573573ad09a5da2a5bee3b845fb77175e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3742309da7dbb9ceb7a6762ef17d9e4dfc13331092bf186ab67dc389a862b327",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-05-26T19:35:00Z",
    "title_canon_sha256": "b023d5e7b821fe01c2a9a5ef62d52e6dfeab28f0ae70332c556200b25c0c9cc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07086",
    "kind": "arxiv",
    "version": 1
  }
}