Pith Number

pith:UKMXIJWA

pith:2021:UKMXIJWAVFLINJTKQM7HYIQJZH

not attested not anchored not stored refs pending

Parking functions: From combinatorics to probability

Mei Yin, Richard Kenyon

arxiv:2103.17180 v1 · 2021-03-31 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UKMXIJWAVFLINJTKQM7HYIQJZH}

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	2026-07-05T02:28:13.484805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2997426c0a95686a66a833e7c2209c9cd14b28b762c2a23823a8eead6f6c8e0

Aliases

arxiv: 2103.17180 · arxiv_version: 2103.17180v1 · doi: 10.48550/arxiv.2103.17180 · pith_short_12: UKMXIJWAVFLI · pith_short_16: UKMXIJWAVFLINJTK · pith_short_8: UKMXIJWA

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/UKMXIJWAVFLINJTKQM7HYIQJZH \
  | 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: a2997426c0a95686a66a833e7c2209c9cd14b28b762c2a23823a8eead6f6c8e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4792cd0b28489905fbbb017cac3b660203fd1e073aa34aa97c57ac4c39d47037",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-03-31T15:56:23Z",
    "title_canon_sha256": "936f3e16d3f9b53a01131678790cbcab3d8e58701bfa8b9a6180a2f648da3480"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.17180",
    "kind": "arxiv",
    "version": 1
  }
}