Pith Number

pith:U4CGXMAQ

pith:2015:U4CGXMAQMHRRHFFS4PRQAADNEG

not attested not anchored not stored refs pending

A torsion theory in the category of cocommutative Hopf algebras

Gabriel Kadjo, Joost Vercruysse, Marino Gran

arxiv:1502.03130 v4 · 2015-02-10 · math.CT · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U4CGXMAQMHRRHFFS4PRQAADNEG}

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	2026-05-18T02:17:11.188075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7046bb01061e31394b2e3e300006d21b9ca0e69a505871b0a103819792f1702

Aliases

arxiv: 1502.03130 · arxiv_version: 1502.03130v4 · doi: 10.48550/arxiv.1502.03130 · pith_short_12: U4CGXMAQMHRR · pith_short_16: U4CGXMAQMHRRHFFS · pith_short_8: U4CGXMAQ

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/U4CGXMAQMHRRHFFS4PRQAADNEG \
  | 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: a7046bb01061e31394b2e3e300006d21b9ca0e69a505871b0a103819792f1702

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2efe60b9058f482232d71dfb2d13594918d758bf8ee0d2b0e35515732d40f4c",
    "cross_cats_sorted": [
      "math.QA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2015-02-10T21:41:38Z",
    "title_canon_sha256": "85b6e230bd82775bbe4a9eb140ede73b5fd09bc717762717986e1eb148a06a32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03130",
    "kind": "arxiv",
    "version": 4
  }
}