Pith Number

pith:UQ6UQBTO

pith:2013:UQ6UQBTOQQRTV4CC3ETP5IZJNC

not attested not anchored not stored refs pending

A set-operad of formal fractions and dendriform-like sub-operads

Florent Hivert (LRI), Fr\'ed\'eric Chapoton (ICJ), Jean-Christophe Novelli (LIGM)

arxiv:1307.0092 v1 · 2013-06-29 · 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{UQ6UQBTOQQRTV4CC3ETP5IZJNC}

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	2026-05-18T03:19:34.297557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a43d48066e84233af042d926fea32968a431909109a222a6afa22eab7e03b620

Aliases

arxiv: 1307.0092 · arxiv_version: 1307.0092v1 · doi: 10.48550/arxiv.1307.0092 · pith_short_12: UQ6UQBTOQQRT · pith_short_16: UQ6UQBTOQQRTV4CC · pith_short_8: UQ6UQBTO

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/UQ6UQBTOQQRTV4CC3ETP5IZJNC \
  | 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: a43d48066e84233af042d926fea32968a431909109a222a6afa22eab7e03b620

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b5941d3dc0efd8720cb74a6c924826f1df65a643b60fc68c817d8a547e3d689",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-29T12:34:18Z",
    "title_canon_sha256": "a06dee4bc9ae85958a7ea062f9c24d02a0baa09db969f11114c3c2780163a4fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0092",
    "kind": "arxiv",
    "version": 1
  }
}