Pith Number

pith:LNR6I2SX

pith:2012:LNR6I2SXZ2XNMPUXVVTOCTGDSD

not attested not anchored not stored refs pending

Connect Four and Graph Decomposition

Bjarke Hammersholt Roune, Laurent Evain, Mathias Lederer

arxiv:1210.4367 v3 · 2012-10-16 · math.CO · cs.DM · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LNR6I2SXZ2XNMPUXVVTOCTGDSD}

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	2026-05-18T03:28:56.114764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b63e46a57ceaed63e97ad66e14cc390f0b2ed3405b444fa56fc3be4f8c796ca

Aliases

arxiv: 1210.4367 · arxiv_version: 1210.4367v3 · doi: 10.48550/arxiv.1210.4367 · pith_short_12: LNR6I2SXZ2XN · pith_short_16: LNR6I2SXZ2XNMPUX · pith_short_8: LNR6I2SX

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/LNR6I2SXZ2XNMPUXVVTOCTGDSD \
  | 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: 5b63e46a57ceaed63e97ad66e14cc390f0b2ed3405b444fa56fc3be4f8c796ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfec27f17f93ced6dd065d5841e1a5bae98457f8553d387b0d24cbdc95dc12fb",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-16T11:31:29Z",
    "title_canon_sha256": "c7946c7711d7852c7738670c89a5cbaa01641be5e70e99c4f4bda364ee79f05a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4367",
    "kind": "arxiv",
    "version": 3
  }
}