Pith Number

pith:VOMWDCJ6

pith:2014:VOMWDCJ6ZWCACDUTFJBN3DLMJE

not attested not anchored not stored refs pending

The Frobenius properad is Koszul

Ricardo Campos, Sergei Merkulov, Thomas Willwacher

arxiv:1402.4048 v1 · 2014-02-17 · 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{VOMWDCJ6ZWCACDUTFJBN3DLMJE}

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	2026-05-18T00:50:23.585025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab9961893ecd84010e932a42dd8d6c490cfa7fcce54eb3e88b4b0b10f53e13ea

Aliases

arxiv: 1402.4048 · arxiv_version: 1402.4048v1 · doi: 10.48550/arxiv.1402.4048 · pith_short_12: VOMWDCJ6ZWCA · pith_short_16: VOMWDCJ6ZWCACDUT · pith_short_8: VOMWDCJ6

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/VOMWDCJ6ZWCACDUTFJBN3DLMJE \
  | 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: ab9961893ecd84010e932a42dd8d6c490cfa7fcce54eb3e88b4b0b10f53e13ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7698c8cc2b486045e0c18015d3a311ab15cc4f3cc65140ed82789457f5bc6065",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2014-02-17T16:24:18Z",
    "title_canon_sha256": "533f471f4fa428fba6d58573112c7c93265aad248cc69b5642bf5a920c7b5fe1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.4048",
    "kind": "arxiv",
    "version": 1
  }
}