Pith Number

pith:ZKM4BT2G

pith:2010:ZKM4BT2GAT3SF3TF3SXOKMGN6H

not attested not anchored not stored refs pending

Cops and Robber Game with a Fast Robber on Interval, Chordal, and Planar Graphs

Abbas Mehrabian

arxiv:1008.4210 v2 · 2010-08-25 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZKM4BT2GAT3SF3TF3SXOKMGN6H}

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	2026-05-18T04:24:06.195334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca99c0cf4604f722ee65dcaee530cdf1cf79255ff9063290d08d0f4453069bfc

Aliases

arxiv: 1008.4210 · arxiv_version: 1008.4210v2 · doi: 10.48550/arxiv.1008.4210 · pith_short_12: ZKM4BT2GAT3S · pith_short_16: ZKM4BT2GAT3SF3TF · pith_short_8: ZKM4BT2G

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/ZKM4BT2GAT3SF3TF3SXOKMGN6H \
  | 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: ca99c0cf4604f722ee65dcaee530cdf1cf79255ff9063290d08d0f4453069bfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebed81bc01c8fb2efbbf8aabd14e2df9ade64efe73d0d3692d42889fb5e4ab60",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-08-25T06:01:28Z",
    "title_canon_sha256": "3ba0152d1d277d05f15022ebb923c6b0b5d43a438dc94fdb1b1f887cb151f959"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4210",
    "kind": "arxiv",
    "version": 2
  }
}