Pith Number

pith:BR2TWYWN

pith:2024:BR2TWYWNKXPBCUMKIPVX44VKSU

not attested not anchored not stored refs pending

The Cartier-Quillen-Milnor-Moore theorem in the Post-Hopf case

Pierre Catoire (IMAG)

arxiv:2401.09116 v2 · 2024-01-17 · math.CO · 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{BR2TWYWNKXPBCUMKIPVX44VKSU}

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	2026-06-23T03:13:43.043344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c753b62cd55de11518a43eb7e72aa951a752385f778eef016691f2cd542ff95

Aliases

arxiv: 2401.09116 · arxiv_version: 2401.09116v2 · doi: 10.48550/arxiv.2401.09116 · pith_short_12: BR2TWYWNKXPB · pith_short_16: BR2TWYWNKXPBCUMK · pith_short_8: BR2TWYWN

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/BR2TWYWNKXPBCUMKIPVX44VKSU \
  | 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: 0c753b62cd55de11518a43eb7e72aa951a752385f778eef016691f2cd542ff95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d496d6a85a4a404bb307dba5437394acf3a81fa77dcec6a68f4115792144955",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-01-17T10:32:49Z",
    "title_canon_sha256": "cbff7cfbe5ddfc299b4212f85d60350e226927b90bbb06fc4c667da4221084ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.09116",
    "kind": "arxiv",
    "version": 2
  }
}