Pith Number

pith:TYPNCTRC

pith:2013:TYPNCTRCXMD4BCHUSF3MSC4LYS

not attested not anchored not stored refs pending

Cops and Robbers is EXPTIME-complete

William B. Kinnersley

arxiv:1309.5405 v2 · 2013-09-20 · math.CO · cs.CC · 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{TYPNCTRCXMD4BCHUSF3MSC4LYS}

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	2026-05-18T02:32:12.282344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e1ed14e22bb07c088f49176c90b8bc4bd25a52d250101d9174e8faa9e6fca35

Aliases

arxiv: 1309.5405 · arxiv_version: 1309.5405v2 · doi: 10.48550/arxiv.1309.5405 · pith_short_12: TYPNCTRCXMD4 · pith_short_16: TYPNCTRCXMD4BCHU · pith_short_8: TYPNCTRC

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/TYPNCTRCXMD4BCHUSF3MSC4LYS \
  | 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: 9e1ed14e22bb07c088f49176c90b8bc4bd25a52d250101d9174e8faa9e6fca35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c47c449e356ef46cfaee99d0bc9e05bf782fcc203e867fbc59982343aba4033",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-20T22:11:19Z",
    "title_canon_sha256": "6bd0b264b544cc8e2c5cd36acaf0826a91dc5eedba17f91cd5654d56b18d378c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5405",
    "kind": "arxiv",
    "version": 2
  }
}