Pith Number

pith:BVMUND6Z

pith:2013:BVMUND6ZSIUDA7Z7EC3CSP2MZP

not attested not anchored not stored refs pending

Lazy Cops and Robbers played on Graphs

Anthony Bonato, Deepak Bal, Pawe{\l} Pra{\l}at, William B. Kinnersley

arxiv:1312.1750 v1 · 2013-12-06 · 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{BVMUND6ZSIUDA7Z7EC3CSP2MZP}

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	2026-05-18T03:05:19.841336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d59468fd99228307f3f20b6293f4ccbf4714acb6d4c8bc85b54ada926ad5c3f

Aliases

arxiv: 1312.1750 · arxiv_version: 1312.1750v1 · doi: 10.48550/arxiv.1312.1750 · pith_short_12: BVMUND6ZSIUD · pith_short_16: BVMUND6ZSIUDA7Z7 · pith_short_8: BVMUND6Z

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/BVMUND6ZSIUDA7Z7EC3CSP2MZP \
  | 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: 0d59468fd99228307f3f20b6293f4ccbf4714acb6d4c8bc85b54ada926ad5c3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bcaf5b3ccb84a7e1da2064e8942769fa67bbb6a7dd966d308bb776f44696edb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-06T01:33:29Z",
    "title_canon_sha256": "e662b432eaafdf0b4574bbc462b11c4a97ab8f398b2e32ea1a51412627dc73f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1750",
    "kind": "arxiv",
    "version": 1
  }
}