Pith Number

pith:S3F4ZIWX

pith:2018:S3F4ZIWXO6HVI4ZV3QS7OAQU6L

not attested not anchored not stored refs pending

A formula for the partition function that "counts"

Andrew V. Sills, Yuriy Choliy

arxiv:1811.09327 v1 · 2018-11-22 · 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{S3F4ZIWXO6HVI4ZV3QS7OAQU6L}

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	2026-05-17T23:59:13.657096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96cbcca2d7778f547335dc25f70214f2dd184f692062e86c1bb301bd6e6e6be0

Aliases

arxiv: 1811.09327 · arxiv_version: 1811.09327v1 · doi: 10.48550/arxiv.1811.09327 · pith_short_12: S3F4ZIWXO6HV · pith_short_16: S3F4ZIWXO6HVI4ZV · pith_short_8: S3F4ZIWX

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/S3F4ZIWXO6HVI4ZV3QS7OAQU6L \
  | 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: 96cbcca2d7778f547335dc25f70214f2dd184f692062e86c1bb301bd6e6e6be0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67e3e74580f469af411c36c9cfa899fa749dd27a7fbad5eed29d68a3c8732739",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-22T23:27:36Z",
    "title_canon_sha256": "79c9efa6433df493ed1aae67f98c9fae1219a9b2eb62e78862c288fe9fc1c390"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.09327",
    "kind": "arxiv",
    "version": 1
  }
}