Pith Number

pith:3E4SJGYR

pith:2012:3E4SJGYRF2Z6V4RL7SE6LZZJ5A

not attested not anchored not stored refs pending

Combinatorial Semigroup Bialgebras

Matthieu Deneufch\^atel

arxiv:1211.4710 v2 · 2012-11-20 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3E4SJGYRF2Z6V4RL7SE6LZZJ5A}

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	2026-05-18T03:21:54.007462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d939249b112eb3eaf22bfc89e5e729e83354aaed3d2b6911b019ff46e7ef69e6

Aliases

arxiv: 1211.4710 · arxiv_version: 1211.4710v2 · doi: 10.48550/arxiv.1211.4710 · pith_short_12: 3E4SJGYRF2Z6 · pith_short_16: 3E4SJGYRF2Z6V4RL · pith_short_8: 3E4SJGYR

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/3E4SJGYRF2Z6V4RL7SE6LZZJ5A \
  | 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: d939249b112eb3eaf22bfc89e5e729e83354aaed3d2b6911b019ff46e7ef69e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddcfb217dcce4033f25dd9fb7601ef229a4b507f9c1027a5da7fb186fdf53178",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-20T10:58:23Z",
    "title_canon_sha256": "a8a9891546c1fba17345f688438147bddd916d70ce008cdc0c26d01a13ee1f1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4710",
    "kind": "arxiv",
    "version": 2
  }
}