Pith Number

pith:NEFGXKOS

pith:2023:NEFGXKOS4YI4HV2UNBYK5Y6LCA

not attested not anchored not stored refs pending

Exponentially Many Correspondence Colourings of Planar and Locally Planar Graphs

Evelyne Smith-Roberge, Luke Postle

arxiv:2309.17291 v1 · 2023-09-29 · 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{NEFGXKOS4YI4HV2UNBYK5Y6LCA}

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.

Cited by

1 paper in Pith

Local Weak Degeneracy of Planar Graphs

Receipt and verification

First computed	2026-07-05T06:55:43.485652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

690a6ba9d2e611c3d7546870aee3cb1034ae8fa4379477eb38c6f577d0e22957

Aliases

arxiv: 2309.17291 · arxiv_version: 2309.17291v1 · doi: 10.48550/arxiv.2309.17291 · pith_short_12: NEFGXKOS4YI4 · pith_short_16: NEFGXKOS4YI4HV2U · pith_short_8: NEFGXKOS

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/NEFGXKOS4YI4HV2UNBYK5Y6LCA \
  | 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: 690a6ba9d2e611c3d7546870aee3cb1034ae8fa4379477eb38c6f577d0e22957

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b9d8a3724c274b2a1aee523195428a4b250fe6a8bba4e6f697a1bdec1981082",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-09-29T14:48:57Z",
    "title_canon_sha256": "66bf466fe68a5f11ccd45bed135609bd2acc256a81709b9a9acc77545c4f7034"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.17291",
    "kind": "arxiv",
    "version": 1
  }
}