Pith Number

pith:ZHKIOXKK

pith:2018:ZHKIOXKKJHQC5LTBTJEEGHXZCZ

not attested not anchored not stored refs pending

Equidistributed statistics on Fishburn matrices and permutations

Dandan Chen, Robin D.P. Zhou, Sherry H.F. Yan

arxiv:1808.04191 v1 · 2018-08-13 · 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{ZHKIOXKKJHQC5LTBTJEEGHXZCZ}

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	2026-05-18T00:08:18.641060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9d4875d4a49e02eae619a48431ef9166957bcf9078bb24cf3258e698aa9ec0a

Aliases

arxiv: 1808.04191 · arxiv_version: 1808.04191v1 · doi: 10.48550/arxiv.1808.04191 · pith_short_12: ZHKIOXKKJHQC · pith_short_16: ZHKIOXKKJHQC5LTB · pith_short_8: ZHKIOXKK

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/ZHKIOXKKJHQC5LTBTJEEGHXZCZ \
  | 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: c9d4875d4a49e02eae619a48431ef9166957bcf9078bb24cf3258e698aa9ec0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "451cf3e792eab510ff1db95451d8ce22ef7d0435db308185fc40ad1c90509e47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-13T13:15:51Z",
    "title_canon_sha256": "d817b0da3c52dbd5488d7654e448f0997b7806f5ce8236702a62f2f332b0729d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04191",
    "kind": "arxiv",
    "version": 1
  }
}