Pith Number

pith:GMZWIZKU

pith:2021:GMZWIZKU4PKI5BC3EPYIJZSCSR

not attested not anchored not stored refs pending

Zinbiel algebras and multiple zeta values

Fr\'ed\'eric Chapoton (IRMA)

arxiv:2109.00241 v1 · 2021-09-01 · math.NT · 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{GMZWIZKU4PKI5BC3EPYIJZSCSR}

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	2026-07-05T03:10:44.383375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3333646554e3d48e845b23f084e642944e511a39403a96721b82a3f4fbc3a683

Aliases

arxiv: 2109.00241 · arxiv_version: 2109.00241v1 · doi: 10.48550/arxiv.2109.00241 · pith_short_12: GMZWIZKU4PKI · pith_short_16: GMZWIZKU4PKI5BC3 · pith_short_8: GMZWIZKU

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/GMZWIZKU4PKI5BC3EPYIJZSCSR \
  | 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: 3333646554e3d48e845b23f084e642944e511a39403a96721b82a3f4fbc3a683

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e37b7bf212800ea1ceeb6123d2b542f3930cfdc04eef7ad4ee58777ce6f80667",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-09-01T08:27:21Z",
    "title_canon_sha256": "66e78ca2f5daa4b830704f67a46499bdb4fd22afafeb29cebc082ffd9662d297"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.00241",
    "kind": "arxiv",
    "version": 1
  }
}