Pith Number

pith:YELZ2NJO

pith:2010:YELZ2NJOBRPJDXU2JXZUG75TY4

not attested not anchored not stored refs pending

On the chromatic uniqueness of $K_4$-homeomorphs with girth 7

Svetlana Obraztsova

arxiv:1010.4146 v1 · 2010-10-20 · 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{YELZ2NJOBRPJDXU2JXZUG75TY4}

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	2026-05-18T04:38:59.746073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1179d352e0c5e91de9a4df3437fb3c73fc31afc84edb84723e3803731fdbfd9

Aliases

arxiv: 1010.4146 · arxiv_version: 1010.4146v1 · doi: 10.48550/arxiv.1010.4146 · pith_short_12: YELZ2NJOBRPJ · pith_short_16: YELZ2NJOBRPJDXU2 · pith_short_8: YELZ2NJO

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/YELZ2NJOBRPJDXU2JXZUG75TY4 \
  | 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: c1179d352e0c5e91de9a4df3437fb3c73fc31afc84edb84723e3803731fdbfd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6a838c2c0c82c4613bf7af03218609faa5c76d12317751b25dd0c5be0356a2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-20T10:03:13Z",
    "title_canon_sha256": "9a087c01086cc01c31b92cc9bfb89660b3e0b7772dccd24076ab07b20c8dc4fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4146",
    "kind": "arxiv",
    "version": 1
  }
}