Pith Number

pith:3YR6GD2H

pith:2012:3YR6GD2HVIM5MVGE6C7VQBELIY

not attested not anchored not stored refs pending

Categories vs. groupoids via generalised Mal'tsev properties

Nelson Martins-Ferreira, Tim Van der Linden

arxiv:1206.2745 v2 · 2012-06-13 · 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{3YR6GD2HVIM5MVGE6C7VQBELIY}

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	2026-05-18T02:45:05.211478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de23e30f47aa19d654c4f0bf58048b4620c0e01bf837c182595b5c31bf9f407d

Aliases

arxiv: 1206.2745 · arxiv_version: 1206.2745v2 · doi: 10.48550/arxiv.1206.2745 · pith_short_12: 3YR6GD2HVIM5 · pith_short_16: 3YR6GD2HVIM5MVGE · pith_short_8: 3YR6GD2H

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/3YR6GD2HVIM5MVGE6C7VQBELIY \
  | 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: de23e30f47aa19d654c4f0bf58048b4620c0e01bf837c182595b5c31bf9f407d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c82ea76bfb6b6fbc3f1a44057eb1e1b835ec6c5b939fa6e091df6ff9c3a656a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2012-06-13T08:27:55Z",
    "title_canon_sha256": "0c9ae4ac7bcd6e1c7d9ae8e7ce885a31b343680cbea94295992638dc1f887227"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2745",
    "kind": "arxiv",
    "version": 2
  }
}