Pith Number

pith:5SQW7W7P

pith:2009:5SQW7W7PMPWWBDRWJ37JK4ZPDY

not attested not anchored not stored refs pending

On Necessary and Sufficient Number of Cops in the Game of Cops and Robber in Multidimensional Grids

Goutam Paul, Sayan Bhattacharya, Swagato Sanyal

arxiv:0909.1381 v1 · 2009-09-08 · 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{5SQW7W7PMPWWBDRWJ37JK4ZPDY}

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	2026-05-18T01:53:28.642093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eca16fdbef63ed608e364efe95732f1e33b56ff177ed1f95b1b607a418067027

Aliases

arxiv: 0909.1381 · arxiv_version: 0909.1381v1 · doi: 10.48550/arxiv.0909.1381 · pith_short_12: 5SQW7W7PMPWW · pith_short_16: 5SQW7W7PMPWWBDRW · pith_short_8: 5SQW7W7P

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/5SQW7W7PMPWWBDRWJ37JK4ZPDY \
  | 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: eca16fdbef63ed608e364efe95732f1e33b56ff177ed1f95b1b607a418067027

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff54c1a2844e0b507b76ca2a805f1681b87c8f70178f1d415c4a0446443cad46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2009-09-08T03:55:29Z",
    "title_canon_sha256": "d5913e195565cd6d563159ffe121dec43a96035c0103722b879126a59f5e3953"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.1381",
    "kind": "arxiv",
    "version": 1
  }
}