Pith Number

pith:WU2U3T56

pith:2007:WU2U3T563FDFLOL2XU7MP7EZHA

not attested not anchored not stored refs pending

The Cops & Robber game on series-parallel graphs

Dirk Oliver Theis

arxiv:0712.2908 v2 · 2007-12-18 · 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{WU2U3T563FDFLOL2XU7MP7EZHA}

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	2026-05-18T04:09:04.269660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5354dcfbed94655b97abd3ec7fc9938089b1c34046411a396524d6fad1e5d47

Aliases

arxiv: 0712.2908 · arxiv_version: 0712.2908v2 · doi: 10.48550/arxiv.0712.2908 · pith_short_12: WU2U3T563FDF · pith_short_16: WU2U3T563FDFLOL2 · pith_short_8: WU2U3T56

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/WU2U3T563FDFLOL2XU7MP7EZHA \
  | 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: b5354dcfbed94655b97abd3ec7fc9938089b1c34046411a396524d6fad1e5d47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18ff4e2bc559aff301a48dc64d296ee0c68a113fe4428606f56b26e30e2fcb91",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-12-18T09:46:07Z",
    "title_canon_sha256": "3dc5ed7f1fce3c3fa08e5205285f6bf8a022fa960151dbeef516348121aa9105"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.2908",
    "kind": "arxiv",
    "version": 2
  }
}