Pith Number

pith:OGIUGG3C

pith:2018:OGIUGG3CMKILVQT4RCSJWJ3KPT

not attested not anchored not stored refs pending

Every planar graph without adjacent cycles of length at most $8$ is $3$-choosable

Runrun Liu, Xiangwen Li

arxiv:1804.03976 v2 · 2018-04-11 · 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{OGIUGG3CMKILVQT4RCSJWJ3KPT}

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	2026-05-17T23:40:36.506625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7191431b626290bac27c88a49b276a7cc08ea4c041ab898699fea95a3e99e8e5

Aliases

arxiv: 1804.03976 · arxiv_version: 1804.03976v2 · doi: 10.48550/arxiv.1804.03976 · pith_short_12: OGIUGG3CMKIL · pith_short_16: OGIUGG3CMKILVQT4 · pith_short_8: OGIUGG3C

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/OGIUGG3CMKILVQT4RCSJWJ3KPT \
  | 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: 7191431b626290bac27c88a49b276a7cc08ea4c041ab898699fea95a3e99e8e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e081aad3b426be17071d101b332d75dd201cd6b0e4431073222e72f54c2130d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-11T13:31:37Z",
    "title_canon_sha256": "93e11fc1d5595f4980b2ffef614bedc531d0c768c26b93b023257c01da2961a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03976",
    "kind": "arxiv",
    "version": 2
  }
}