Pith Number

pith:XV7POXSI

pith:2019:XV7POXSIDUSPFYPNP6B3B3VG57

not attested not anchored not stored refs pending

Cop number of $2K_2$-free graphs

Stephen Testa, Vaidy Sivaraman

arxiv:1903.11484 v1 · 2019-03-27 · 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{XV7POXSIDUSPFYPNP6B3B3VG57}

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.

Cited by

1 paper in Pith

Cops and Robbers on Graphs with Path Constraints

Receipt and verification

First computed	2026-05-17T23:50:03.155811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd7ef75e481d24f2e1ed7f83b0eea6efdcd3b4a9d44c9f8ad15a89a958c068c8

Aliases

arxiv: 1903.11484 · arxiv_version: 1903.11484v1 · doi: 10.48550/arxiv.1903.11484 · pith_short_12: XV7POXSIDUSP · pith_short_16: XV7POXSIDUSPFYPN · pith_short_8: XV7POXSI

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/XV7POXSIDUSPFYPNP6B3B3VG57 \
  | 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: bd7ef75e481d24f2e1ed7f83b0eea6efdcd3b4a9d44c9f8ad15a89a958c068c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25ad6c7a0399d37a458389dc139dadba2ea106a136c24313bda96491fcd2f26d",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-27T15:23:25Z",
    "title_canon_sha256": "ad7408e0f02408579d12811fd4ae3a7f2a7589e6c6c7f6f56e57794e915e1d74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.11484",
    "kind": "arxiv",
    "version": 1
  }
}