Pith Number

pith:GGFSNGD5

pith:2012:GGFSNGD5H6EAWJPDVHUWMKLPQL

not attested not anchored not stored refs pending

Equality of P-partition generating functions

Peter R. W. McNamara, Ryan E. Ward

arxiv:1210.2412 v2 · 2012-10-08 · 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{GGFSNGD5H6EAWJPDVHUWMKLPQL}

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	2026-05-18T02:45:29.107524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

318b26987d3f880b25e3a9e966296f82e1712eebde5c97fee990a68153fa962d

Aliases

arxiv: 1210.2412 · arxiv_version: 1210.2412v2 · doi: 10.48550/arxiv.1210.2412 · pith_short_12: GGFSNGD5H6EA · pith_short_16: GGFSNGD5H6EAWJPD · pith_short_8: GGFSNGD5

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/GGFSNGD5H6EAWJPDVHUWMKLPQL \
  | 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: 318b26987d3f880b25e3a9e966296f82e1712eebde5c97fee990a68153fa962d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63916ad8486390758f3d39bc3e7d8297c8d14e1bee3d47d25d705f472aa45125",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-08T20:25:37Z",
    "title_canon_sha256": "8d21b8b8452a33361073bb094fca2f83c8217a3f7da381ac16d9b1cf165ee063"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2412",
    "kind": "arxiv",
    "version": 2
  }
}