Pith Number

pith:LY3YVNPY

pith:2012:LY3YVNPYX7SZCS6JELUJ7B2KHX

not attested not anchored not stored refs pending

Cofinite Induced Subgraphs of Impartial Combinatorial Games: An Analysis of CIS-Nim

Adam Scott Landsberg, Eric J. Friedman, Scott M. Garrabrant

arxiv:1201.0405 v1 · 2012-01-02 · 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{LY3YVNPYX7SZCS6JELUJ7B2KHX}

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	2026-05-18T04:05:17.623073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e378ab5f8bfe5914bc922e89f874a3df3c9803c865e1d743afecb4cd311d691

Aliases

arxiv: 1201.0405 · arxiv_version: 1201.0405v1 · doi: 10.48550/arxiv.1201.0405 · pith_short_12: LY3YVNPYX7SZ · pith_short_16: LY3YVNPYX7SZCS6J · pith_short_8: LY3YVNPY

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/LY3YVNPYX7SZCS6JELUJ7B2KHX \
  | 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: 5e378ab5f8bfe5914bc922e89f874a3df3c9803c865e1d743afecb4cd311d691

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e584b1230fea86912b19c7f741de144f1dd366389d5829a4811fadde1b4012c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-01-02T01:11:29Z",
    "title_canon_sha256": "5fd372066a5e84460391b7a93dc984e64d445f9cc656b0e0d3fd12791b2b0ed6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0405",
    "kind": "arxiv",
    "version": 1
  }
}