Pith Number

pith:SE7GDS3Z

pith:2014:SE7GDS3ZTCUSVL6ZPPTQEN62DN

not attested not anchored not stored refs pending

Combinatorial Hopf algebras from PROs

Jean-Paul Bultel, Samuele Giraudo

arxiv:1406.6903 v2 · 2014-06-26 · math.CO · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SE7GDS3ZTCUSVL6ZPPTQEN62DN}

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	2026-05-18T01:15:32.730091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

913e61cb7998a92aafd97be70237da1b70dd7c12ea2f14cc7445a28a8838069c

Aliases

arxiv: 1406.6903 · arxiv_version: 1406.6903v2 · doi: 10.48550/arxiv.1406.6903 · pith_short_12: SE7GDS3ZTCUS · pith_short_16: SE7GDS3ZTCUSVL6Z · pith_short_8: SE7GDS3Z

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/SE7GDS3ZTCUSVL6ZPPTQEN62DN \
  | 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: 913e61cb7998a92aafd97be70237da1b70dd7c12ea2f14cc7445a28a8838069c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4ed6710516f2d8fdff9b3dff3c554e56062ef5558bf4df56a61bfcc56964bc5",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-26T14:45:03Z",
    "title_canon_sha256": "fa42fd9812666dfe852a0f75994f1c37923004288ee1923a46f9a646b2ff4b6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.6903",
    "kind": "arxiv",
    "version": 2
  }
}