Pith Number

pith:IR6KPFUB

pith:2012:IR6KPFUBYZAPY2APZ7PTM6GRHT

not attested not anchored not stored refs pending

5-list-coloring planar graphs with distant precolored vertices

Bernard Lidicky, Bojan Mohar, Luke Postle, Zdenek Dvorak

arxiv:1209.0366 v2 · 2012-09-03 · 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{IR6KPFUBYZAPY2APZ7PTM6GRHT}

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	2026-05-18T00:54:58.464163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

447ca79681c640fc680fcfdf3678d13ce592d17d41cb26d4e36cbdc8e6d6ef40

Aliases

arxiv: 1209.0366 · arxiv_version: 1209.0366v2 · doi: 10.48550/arxiv.1209.0366 · pith_short_12: IR6KPFUBYZAP · pith_short_16: IR6KPFUBYZAPY2AP · pith_short_8: IR6KPFUB

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/IR6KPFUBYZAPY2APZ7PTM6GRHT \
  | 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: 447ca79681c640fc680fcfdf3678d13ce592d17d41cb26d4e36cbdc8e6d6ef40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2199d68c7f90b97213f7f67e85c51d8c18d7ed96aaa5d4ca3ede912e412cb69d",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-03T14:42:43Z",
    "title_canon_sha256": "0345a85967bd4115d9037902532e8d3582b5d1ca3fb7da0f2cf08de00c8c00e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0366",
    "kind": "arxiv",
    "version": 2
  }
}