Pith Number

pith:ECTK7ENK

pith:2018:ECTK7ENKUMYBNBC7JJUTRSDUF6

not attested not anchored not stored refs pending

Four-coloring $P_6$-free graphs. I. Extending an excellent precoloring

Maria Chudnovsky, Mingxian Zhong, Sophie Spirkl

arxiv:1802.02282 v3 · 2018-02-07 · 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{ECTK7ENKUMYBNBC7JJUTRSDUF6}

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	2026-05-18T00:10:51.988752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20a6af91aaa33016845f4a6938c8742fb86b186e2a132af73d2499add53abf24

Aliases

arxiv: 1802.02282 · arxiv_version: 1802.02282v3 · doi: 10.48550/arxiv.1802.02282 · pith_short_12: ECTK7ENKUMYB · pith_short_16: ECTK7ENKUMYBNBC7 · pith_short_8: ECTK7ENK

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/ECTK7ENKUMYBNBC7JJUTRSDUF6 \
  | 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: 20a6af91aaa33016845f4a6938c8742fb86b186e2a132af73d2499add53abf24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecff327079c2e902a68dfe36fb2275364ca0d3ce36275663c070699393a23090",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-02-07T01:51:48Z",
    "title_canon_sha256": "6bf30980f4ab702b7e266a582154dfa661a48e4c292a6f46ccca1346ccad11cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.02282",
    "kind": "arxiv",
    "version": 3
  }
}