Pith Number

pith:IDC3HO43

pith:2025:IDC3HO435ZULSTVF4D62TG6VR7

not attested not anchored not stored refs pending

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

Arnab Char, Dinabandhu Pradhan, Paras Vinubhai Maniya

arxiv:2505.15416 v1 · 2025-05-21 · cs.DM · 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{IDC3HO435ZULSTVF4D62TG6VR7}

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, Clique Covers, and Induced Cycles

Receipt and verification

First computed	2026-07-05T11:06:45.225598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40c5b3bb9bee68b94ea5e0fda99bd58feb3be7cc20171ecd76e0a3ea363b5405

Aliases

arxiv: 2505.15416 · arxiv_version: 2505.15416v1 · doi: 10.48550/arxiv.2505.15416 · pith_short_12: IDC3HO435ZUL · pith_short_16: IDC3HO435ZULSTVF · pith_short_8: IDC3HO43

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/IDC3HO435ZULSTVF4D62TG6VR7 \
  | 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: 40c5b3bb9bee68b94ea5e0fda99bd58feb3be7cc20171ecd76e0a3ea363b5405

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9c58e3c4935709d6688ec75ca77b8d812a3ad8055767fcc8aaa03903494c702",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2025-05-21T12:00:32Z",
    "title_canon_sha256": "aeae45c229460014a79011e47dedbe50c96688a756012e979318c452779b2bf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.15416",
    "kind": "arxiv",
    "version": 1
  }
}