Pith Number

pith:66KMY3WB

pith:2018:66KMY3WB3IKN7JR42F3SNMWB76

not attested not anchored not stored refs pending

The class of $(P_7,C_4,C_5)$-free graphs: decomposition, algorithms, and $\chi$-boundedness

Irena Penev, Kathie Cameron, Shenwei Huang, Vaidy Sivaraman

arxiv:1803.03315 v1 · 2018-03-08 · math.CO

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{66KMY3WB3IKN7JR42F3SNMWB76}

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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

Structural domination and coloring of some ($P_7, C_7$)-free graphs

Receipt and verification

First computed	2026-05-18T00:21:40.008592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f794cc6ec1da14dfa63cd17726b2c1ff89825af41cce498337ec053e3eae417c

Aliases

arxiv: 1803.03315 · arxiv_version: 1803.03315v1 · doi: 10.48550/arxiv.1803.03315 · pith_short_12: 66KMY3WB3IKN · pith_short_16: 66KMY3WB3IKN7JR4 · pith_short_8: 66KMY3WB

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/66KMY3WB3IKN7JR42F3SNMWB76 \
  | 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: f794cc6ec1da14dfa63cd17726b2c1ff89825af41cce498337ec053e3eae417c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f71e5eda1beec05c4278a6765f8783a6e46854e466f28999b5b0eaa9b12c0e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-08T21:41:47Z",
    "title_canon_sha256": "7951631a0468a107de411de05555335a8c284a8c894e586bb48e5fcb20010549"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03315",
    "kind": "arxiv",
    "version": 1
  }
}