Pith Number

pith:PV7RKVIC

pith:2015:PV7RKVICHUBWS6N7KUV5YMUGBT

not attested not anchored not stored refs pending

The Twelvefold way, the non-intersecting circles problem, and partitions of multisets

Daniel Yaqubi, Madjid Mirzavaziri, Toufik Mansour

arxiv:1501.01997 v2 · 2015-01-08 · 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{PV7RKVICHUBWS6N7KUV5YMUGBT}

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	2026-05-18T00:15:38.297434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d7f1555023d036979bf552bdc32860cd5baac9a615f8aaa3936f7a633f9f0f0

Aliases

arxiv: 1501.01997 · arxiv_version: 1501.01997v2 · doi: 10.48550/arxiv.1501.01997 · pith_short_12: PV7RKVICHUBW · pith_short_16: PV7RKVICHUBWS6N7 · pith_short_8: PV7RKVIC

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/PV7RKVICHUBWS6N7KUV5YMUGBT \
  | 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: 7d7f1555023d036979bf552bdc32860cd5baac9a615f8aaa3936f7a633f9f0f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d704619d3c575fd2f17a452801e030f744ad76cb4c3f8f29c497b369e02adf94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-01-08T22:44:20Z",
    "title_canon_sha256": "60efbc3c69370bd8f46b648a414ad577be13f06fc35c2aa467424dd1e49af44f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01997",
    "kind": "arxiv",
    "version": 2
  }
}