Pith Number

pith:A5DYBM7L

pith:2005:A5DYBM7LJIQDZU2FPIV4FKPHEX

not attested not anchored not stored refs pending

Hopf algebras and dendriform structures arising from parking functions

Jean-Christophe Novelli, Jean-Yves Thibon

arxiv:math/0511200 v1 · 2005-11-08 · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A5DYBM7LJIQDZU2FPIV4FKPHEX}

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	2026-05-18T03:34:00.484299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

074780b3eb4a203cd3457a2bc2a9e725c57b3305fa9aa3192dd630424f47c98a

Aliases

arxiv: math/0511200 · arxiv_version: math/0511200v1 · doi: 10.48550/arxiv.math/0511200 · pith_short_12: A5DYBM7LJIQD · pith_short_16: A5DYBM7LJIQDZU2F · pith_short_8: A5DYBM7L

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/A5DYBM7LJIQDZU2FPIV4FKPHEX \
  | 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: 074780b3eb4a203cd3457a2bc2a9e725c57b3305fa9aa3192dd630424f47c98a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6c1479adb0312dac269bf4d6e0f913d6480b2ea445ff8c0813f0a424577ecea",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-11-08T14:04:08Z",
    "title_canon_sha256": "024855fe6a972e42462dcdeb0ebc877b784482c745329cc4cef735248e709d6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511200",
    "kind": "arxiv",
    "version": 1
  }
}