Pith Number

pith:T4C6WDM3

pith:2016:T4C6WDM32IOJZS7IGIEHCXI2JX

not attested not anchored not stored refs pending

Rectangular Schroder Parking Functions Combinatorics

Francois Bergeron, Jean-Christophe Aval

arxiv:1603.09487 v1 · 2016-03-31 · 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{T4C6WDM32IOJZS7IGIEHCXI2JX}

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	2026-05-18T01:17:58.484638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f05eb0d9bd21c9ccbe83208715d1a4dec8802f9616c4bd504daea350baad257

Aliases

arxiv: 1603.09487 · arxiv_version: 1603.09487v1 · doi: 10.48550/arxiv.1603.09487 · pith_short_12: T4C6WDM32IOJ · pith_short_16: T4C6WDM32IOJZS7I · pith_short_8: T4C6WDM3

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/T4C6WDM32IOJZS7IGIEHCXI2JX \
  | 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: 9f05eb0d9bd21c9ccbe83208715d1a4dec8802f9616c4bd504daea350baad257

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99e4230fa5c626e3a6012ce9d62c622e82b62311230a8c3b79e45e358a497e9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-31T08:32:20Z",
    "title_canon_sha256": "69f8f1294f088c71f5f9f3e679b5b4da9b471e8a75354ba866556750418b547c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09487",
    "kind": "arxiv",
    "version": 1
  }
}