Pith Number

pith:ZWVQCON2

pith:2003:ZWVQCON2B4XPER6SN6LSTYNMLU

not attested not anchored not stored refs pending

A Hopf algebra of parking functions

Jean-Christophe Novelli, Jean-Yves Thibon

arxiv:math/0312126 v1 · 2003-12-05 · 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{ZWVQCON2B4XPER6SN6LSTYNMLU}

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.

Cited by

1 paper in Pith

Symmetry in Tree Parking Distributions

Receipt and verification

First computed	2026-07-04T14:38:03.979226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdab0139ba0f2ef247d26f9729e1ac5d09231d4780e1a627e8fe18813420fa1d

Aliases

arxiv: math/0312126 · arxiv_version: math/0312126v1 · doi: 10.48550/arxiv.math/0312126 · pith_short_12: ZWVQCON2B4XP · pith_short_16: ZWVQCON2B4XPER6S · pith_short_8: ZWVQCON2

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/ZWVQCON2B4XPER6SN6LSTYNMLU \
  | 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: cdab0139ba0f2ef247d26f9729e1ac5d09231d4780e1a627e8fe18813420fa1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "687cc930ce301efceba44ba5bce9495b48acacf22490fe5c4cda25e8346aefc2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2003-12-05T17:15:40Z",
    "title_canon_sha256": "381a12eb7a94170dd5e905dad6b8ed1787d5cf63fafadad66db0acc7e18f6073"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312126",
    "kind": "arxiv",
    "version": 1
  }
}