Pith Number

pith:CSITP54L

pith:2013:CSITP54LTMZEAOM76NZQNPIHJL

not attested not anchored not stored refs pending

Maximum 4-degenerate subgraph of a planar graph

J\'an Maz\'ak, Robert Luko\v{t}ka, Xuding Zhu

arxiv:1305.6195 v2 · 2013-05-27 · 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{CSITP54LTMZEAOM76NZQNPIHJL}

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	2026-05-18T03:11:23.840495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

149137f78b9b3240399ff37306bd074ad3ff5bd90d70d8873cbd03c7a646b7a5

Aliases

arxiv: 1305.6195 · arxiv_version: 1305.6195v2 · doi: 10.48550/arxiv.1305.6195 · pith_short_12: CSITP54LTMZE · pith_short_16: CSITP54LTMZEAOM7 · pith_short_8: CSITP54L

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/CSITP54LTMZEAOM76NZQNPIHJL \
  | 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: 149137f78b9b3240399ff37306bd074ad3ff5bd90d70d8873cbd03c7a646b7a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "350aca2152cceefaf94f7e65b6a0cee814cb6ddf5cc6a674591070ef2273eb3f",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-27T12:32:29Z",
    "title_canon_sha256": "fb42cd8062caf719ebf68de293c8028500783e5662262308954222d2a8ad2910"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6195",
    "kind": "arxiv",
    "version": 2
  }
}