Pith Number

pith:HQ75GSWQ

pith:2018:HQ75GSWQCGW6FJHW6UINPOUQH7

not attested not anchored not stored refs pending

On a Sufficient Condition for Planar Graphs of Maximum Degree 6 to be Totally 7-Colorable

Chanjuan Liu, Enqiang Zhu, Yongsheng Rao

arxiv:1812.00133 v1 · 2018-12-01 · 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{HQ75GSWQCGW6FJHW6UINPOUQH7}

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	2026-05-17T23:59:27.164912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c3fd34ad011ade2a4f6f510d7ba903fed8d4fa69e5376f206c05ab8e01d92a8

Aliases

arxiv: 1812.00133 · arxiv_version: 1812.00133v1 · doi: 10.48550/arxiv.1812.00133 · pith_short_12: HQ75GSWQCGW6 · pith_short_16: HQ75GSWQCGW6FJHW · pith_short_8: HQ75GSWQ

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/HQ75GSWQCGW6FJHW6UINPOUQH7 \
  | 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: 3c3fd34ad011ade2a4f6f510d7ba903fed8d4fa69e5376f206c05ab8e01d92a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "213b9c88872bff19384fe66aa63233f8dd03ba6de1918a36ca009f5adc362251",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-01T03:24:43Z",
    "title_canon_sha256": "e79f70a4933c2ae13723b70dbffd209556c221a54799ee7e4c1594a8b6afdaf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.00133",
    "kind": "arxiv",
    "version": 1
  }
}