Pith Number

pith:XYFY33ZK

pith:2018:XYFY33ZKU6SFBFTX4LJFIGJZ4V

not attested not anchored not stored refs pending

A note on 1-guardable graphs in the cops and robber game

Linyuan Lu, Zhiyu Wang

arxiv:1804.02802 v2 · 2018-04-09 · 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{XYFY33ZKU6SFBFTX4LJFIGJZ4V}

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	2026-05-18T00:18:48.587209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be0b8def2aa7a4509677e2d2541939e54120f1661a06053c0a576cfffead3bfc

Aliases

arxiv: 1804.02802 · arxiv_version: 1804.02802v2 · doi: 10.48550/arxiv.1804.02802 · pith_short_12: XYFY33ZKU6SF · pith_short_16: XYFY33ZKU6SFBFTX · pith_short_8: XYFY33ZK

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/XYFY33ZKU6SFBFTX4LJFIGJZ4V \
  | 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: be0b8def2aa7a4509677e2d2541939e54120f1661a06053c0a576cfffead3bfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1f6293c485d42b484aa63583421f7b84913530466689a625f6c7051379cd330",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-09T03:13:28Z",
    "title_canon_sha256": "b52997f18a812a3d931fb311099283c65ae87dde2fd50c957fb43df0aae2fc1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.02802",
    "kind": "arxiv",
    "version": 2
  }
}