Pith Number

pith:YWCII4KK

pith:2019:YWCII4KKFD4M4PMZWTWMLJMWV4

not attested not anchored not stored refs pending

Partitions and the maximal excludant

Shane Chern

arxiv:1905.06304 v1 · 2019-05-15 · 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{YWCII4KKFD4M4PMZWTWMLJMWV4}

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	2026-05-17T23:46:06.927449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c58484714a28f8ce3d99b4ecc5a596af1cd2bf768137014a0d11e77ac6ed0e52

Aliases

arxiv: 1905.06304 · arxiv_version: 1905.06304v1 · doi: 10.48550/arxiv.1905.06304 · pith_short_12: YWCII4KKFD4M · pith_short_16: YWCII4KKFD4M4PMZ · pith_short_8: YWCII4KK

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/YWCII4KKFD4M4PMZWTWMLJMWV4 \
  | 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: c58484714a28f8ce3d99b4ecc5a596af1cd2bf768137014a0d11e77ac6ed0e52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b718ca5de307a410a3c35cc2ba1a718cf2fabad129ef0b2ec3628c064f7466d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-15T17:25:52Z",
    "title_canon_sha256": "b4c7059b38aa068182ebb4b57bb53d2afeea52fe05913efde897f9139012d57f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.06304",
    "kind": "arxiv",
    "version": 1
  }
}