Pith Number

pith:N64MNKDZ

pith:2018:N64MNKDZ2QT2KB4RMUECGBAHHR

not attested not anchored not stored refs pending

Patterns in words of ordered set partitions

Dun Qiu, Jeffrey Remmel

arxiv:1804.07087 v3 · 2018-04-19 · 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{N64MNKDZ2QT2KB4RMUECGBAHHR}

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	2026-05-17T23:58:14.378217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fb8c6a879d427a5079165082304073c4383fba414dce0ea412f839cd9dcae44

Aliases

arxiv: 1804.07087 · arxiv_version: 1804.07087v3 · doi: 10.48550/arxiv.1804.07087 · pith_short_12: N64MNKDZ2QT2 · pith_short_16: N64MNKDZ2QT2KB4R · pith_short_8: N64MNKDZ

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/N64MNKDZ2QT2KB4RMUECGBAHHR \
  | 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: 6fb8c6a879d427a5079165082304073c4383fba414dce0ea412f839cd9dcae44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52e1427619937654aeba0caee245cc41f07b2d150286bc20b6a7c8a73510706e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-19T11:10:27Z",
    "title_canon_sha256": "f325e3d4d32178c13a93e798d34bcf904bd1d4b62f37208d86c9f75b04c316e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.07087",
    "kind": "arxiv",
    "version": 3
  }
}