Pith Number

pith:VWGCUJT6

pith:2012:VWGCUJT6C4Z6J77DE77EP25LX2

not attested not anchored not stored refs pending

Hopf monoids in the category of species

Marcelo Aguiar, Swapneel Mahajan

arxiv:1210.3120 v1 · 2012-10-11 · 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{VWGCUJT6C4Z6J77DE77EP25LX2}

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	2026-05-18T03:43:29.011349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad8c2a267e1733e4ffe327fe47ebabbead1361518c5fe48b2d5e8dabd700c804

Aliases

arxiv: 1210.3120 · arxiv_version: 1210.3120v1 · doi: 10.48550/arxiv.1210.3120 · pith_short_12: VWGCUJT6C4Z6 · pith_short_16: VWGCUJT6C4Z6J77D · pith_short_8: VWGCUJT6

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/VWGCUJT6C4Z6J77DE77EP25LX2 \
  | 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: ad8c2a267e1733e4ffe327fe47ebabbead1361518c5fe48b2d5e8dabd700c804

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d35c0b22b3b45cea76586d3b2722a870a5dada871529b1cd37b961ab7024445d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-10-11T04:25:37Z",
    "title_canon_sha256": "edf2f86205d9d31c88a2fc1b0b93f113d8b2c0a364f2be037e4a9cb616790412"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3120",
    "kind": "arxiv",
    "version": 1
  }
}