Pith Number

pith:AX36343X

pith:2007:AX36343X6WPBWV54TADGJG4UHQ

not attested not anchored not stored refs pending

A one-parameter family of dendriform identities

Jean-Christophe Novelli, Jean-Yves Thibon

arxiv:0709.3235 v1 · 2007-09-20 · 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{AX36343X6WPBWV54TADGJG4UHQ}

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	2026-05-18T03:34:12.593306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05f7edf377f59e1b57bc9806649b943c25c9d038a47eef5a3b6be651462c4f5a

Aliases

arxiv: 0709.3235 · arxiv_version: 0709.3235v1 · doi: 10.48550/arxiv.0709.3235 · pith_short_12: AX36343X6WPB · pith_short_16: AX36343X6WPBWV54 · pith_short_8: AX36343X

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/AX36343X6WPBWV54TADGJG4UHQ \
  | 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: 05f7edf377f59e1b57bc9806649b943c25c9d038a47eef5a3b6be651462c4f5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "846f64fb7beed164aef5edeb5a67a989679aaa7419565a19e6fa6328315061eb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-09-20T13:58:40Z",
    "title_canon_sha256": "be11064584adce34495950dd76544b4848f2661556246253661b81bf200941c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.3235",
    "kind": "arxiv",
    "version": 1
  }
}