Pith Number

pith:KNR5MZGF

pith:2011:KNR5MZGFIHUY3F7H2YNNPLXRNU

not attested not anchored not stored refs pending

Vertex coloring of plane graphs with nonrepetitive boundary paths

J\'anos Bar\'at, J\'ulius Czap

arxiv:1105.1023 v1 · 2011-05-05 · 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{KNR5MZGFIHUY3F7H2YNNPLXRNU}

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	2026-05-18T03:46:18.655341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5363d664c541e98d97e7d61ad7aef16d1a15e5d160e1bf1e65cd23a83ceb2338

Aliases

arxiv: 1105.1023 · arxiv_version: 1105.1023v1 · doi: 10.48550/arxiv.1105.1023 · pith_short_12: KNR5MZGFIHUY · pith_short_16: KNR5MZGFIHUY3F7H · pith_short_8: KNR5MZGF

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/KNR5MZGFIHUY3F7H2YNNPLXRNU \
  | 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: 5363d664c541e98d97e7d61ad7aef16d1a15e5d160e1bf1e65cd23a83ceb2338

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f02efa066527c5e758d099084f71e3ac60be407691a8e25d56a5442a9301df04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-05T09:41:59Z",
    "title_canon_sha256": "da325d1fa775fb2420f15ccb5118bb97854b7737ed5160b5d881965b8491b97f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1023",
    "kind": "arxiv",
    "version": 1
  }
}