Pith Number

pith:N72SYNN5

pith:2019:N72SYNN5ZUJO2S2I4Q33E3PASF

not attested not anchored not stored refs pending

The Cop Number of Graphs with Forbidden Induced Subgraphs

Mingrui Liu

arxiv:1908.11478 v1 · 2019-08-29 · 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{N72SYNN5ZUJO2S2I4Q33E3PASF}

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

$4K_1$-free graph with the cop number $3$

Receipt and verification

First computed	2026-07-05T00:00:36.992658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ff52c35bdcd12ed4b48e437b26de0917bf3f6b400b823105c3b91d71ae4f0fe

Aliases

arxiv: 1908.11478 · arxiv_version: 1908.11478v1 · doi: 10.48550/arxiv.1908.11478 · pith_short_12: N72SYNN5ZUJO · pith_short_16: N72SYNN5ZUJO2S2I · pith_short_8: N72SYNN5

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/N72SYNN5ZUJO2S2I4Q33E3PASF \
  | 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: 6ff52c35bdcd12ed4b48e437b26de0917bf3f6b400b823105c3b91d71ae4f0fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ca75db0509206a490570f921752c9a40fe4180aa59239c287a2e5e9e46f583a",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-29T23:10:24Z",
    "title_canon_sha256": "b44ab865d7eceefcef8ab3179c0244ad795daf7dd35cf60965ec18a9e874601c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.11478",
    "kind": "arxiv",
    "version": 1
  }
}