Pith Number

pith:4ULOWPA7

pith:2019:4ULOWPA7YIJRSDRL6ZCJNLXDOW

not attested not anchored not stored refs pending

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

Manoj M. Belavadi, S. A. Choudum, T. Karthick

arxiv:1907.05018 v2 · 2019-07-11 · 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{4ULOWPA7YIJRSDRL6ZCJNLXDOW}

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	2026-05-17T23:40:38.506245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e516eb3c1fc213190e2bf64496aee37587cefe6c52e4e8955d570044261ff5ac

Aliases

arxiv: 1907.05018 · arxiv_version: 1907.05018v2 · doi: 10.48550/arxiv.1907.05018 · pith_short_12: 4ULOWPA7YIJR · pith_short_16: 4ULOWPA7YIJRSDRL · pith_short_8: 4ULOWPA7

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/4ULOWPA7YIJRSDRL6ZCJNLXDOW \
  | 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: e516eb3c1fc213190e2bf64496aee37587cefe6c52e4e8955d570044261ff5ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9da67591bddd3b9bf0c93a2dd788fbd329f9698b39b5b80f619d8b1017dbb757",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-11T06:46:44Z",
    "title_canon_sha256": "60a251d6eec2507036c17ce61f00caa1fa00cb9a7801caacabcd60b97c9d0ed7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.05018",
    "kind": "arxiv",
    "version": 2
  }
}