Pith Number

pith:FHZLSI4Z

pith:2015:FHZLSI4Z5ET566QUEGAYWI34NE

not attested not anchored not stored refs pending

A Coloring Algorithm for $4K_1$-free line graphs

Ang\`ele M. Hamel, Ch\'inh T. Ho\`ang, Dallas J. Fraser

arxiv:1506.05719 v2 · 2015-06-18 · 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{FHZLSI4Z5ET566QUEGAYWI34NE}

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	2026-05-18T01:38:51.674014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29f2b92399e927df7a1421818b237c690ae762ef15dc39e381441de57d0464e6

Aliases

arxiv: 1506.05719 · arxiv_version: 1506.05719v2 · doi: 10.48550/arxiv.1506.05719 · pith_short_12: FHZLSI4Z5ET5 · pith_short_16: FHZLSI4Z5ET566QU · pith_short_8: FHZLSI4Z

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/FHZLSI4Z5ET566QUEGAYWI34NE \
  | 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: 29f2b92399e927df7a1421818b237c690ae762ef15dc39e381441de57d0464e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a158dc9f4ab58e0e6b477cc768aad0330cff5b22de6536f094e3662e1218479a",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-18T15:30:48Z",
    "title_canon_sha256": "a0303855111264d6e376db6cec678328c336793e5ba4d8a67234fb7c93e40572"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05719",
    "kind": "arxiv",
    "version": 2
  }
}