Pith Number

pith:63W52QF6

pith:2014:63W52QF65KLS2NDOVGXTDFDWYI

not attested not anchored not stored refs pending

Nested sets, set partitions and Kirkman-Cayley dissection numbers

Giovanni Gaiffi

arxiv:1404.3395 v3 · 2014-04-13 · 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{63W52QF65KLS2NDOVGXTDFDWYI}

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	2026-05-18T02:49:11.683344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6eddd40beea972d346ea9af319476c21eade2cc8ffcb8029e0b53496f48a626

Aliases

arxiv: 1404.3395 · arxiv_version: 1404.3395v3 · doi: 10.48550/arxiv.1404.3395 · pith_short_12: 63W52QF65KLS · pith_short_16: 63W52QF65KLS2NDO · pith_short_8: 63W52QF6

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/63W52QF65KLS2NDOVGXTDFDWYI \
  | 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: f6eddd40beea972d346ea9af319476c21eade2cc8ffcb8029e0b53496f48a626

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ff07eddf927befa0872b088a436abcb7ff03ac74cdbd346cbdb4a991c548829",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-04-13T15:53:20Z",
    "title_canon_sha256": "677d502cd0e69547b17f0bc692d9da7b53fdfc4b32c90acdd3bb943e0441589a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.3395",
    "kind": "arxiv",
    "version": 3
  }
}