Pith Number

pith:V755CADX

pith:2014:V755CADXYL3XNSYCPOZWTA7FGY

not attested not anchored not stored refs pending

Rational parking functions and Catalan numbers

Drew Armstrong, Gregory S. Warrington, Nicholas A. Loehr

arxiv:1403.1845 v1 · 2014-03-07 · 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{V755CADXYL3XNSYCPOZWTA7FGY}

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	2026-05-18T02:56:52.455359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

affbd10077c2f776cb027bb36983e53602a035a15a08d83039795f7069577886

Aliases

arxiv: 1403.1845 · arxiv_version: 1403.1845v1 · doi: 10.48550/arxiv.1403.1845 · pith_short_12: V755CADXYL3X · pith_short_16: V755CADXYL3XNSYC · pith_short_8: V755CADX

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/V755CADXYL3XNSYCPOZWTA7FGY \
  | 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: affbd10077c2f776cb027bb36983e53602a035a15a08d83039795f7069577886

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0501eb3d9e29e9be3ab40f3828dd9dc2593a959bba4922fcf68f5eb47855403",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-03-07T19:12:54Z",
    "title_canon_sha256": "904ae2e3edfbd9c9d50bc9ec85b0f8afb097a8acd7b9ffc31d61e914077f42ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.1845",
    "kind": "arxiv",
    "version": 1
  }
}