Pith Number

pith:L574B2GT

pith:2011:L574B2GTIWP3XDHBIKTG3JZIWO

not attested not anchored not stored refs pending

The competition number of a generalized line graph is at most two

Boram Park, Yoshio Sano

arxiv:1110.2911 v2 · 2011-10-13 · 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{L574B2GTIWP3XDHBIKTG3JZIWO}

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	2026-05-18T03:49:10.402176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f7fc0e8d3459fbb8ce142a66da728b39ffbf7b88c0f71992e56ff28192eb65f

Aliases

arxiv: 1110.2911 · arxiv_version: 1110.2911v2 · doi: 10.48550/arxiv.1110.2911 · pith_short_12: L574B2GTIWP3 · pith_short_16: L574B2GTIWP3XDHB · pith_short_8: L574B2GT

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/L574B2GTIWP3XDHBIKTG3JZIWO \
  | 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: 5f7fc0e8d3459fbb8ce142a66da728b39ffbf7b88c0f71992e56ff28192eb65f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35303b904bc5dae4e0db3246974cf61e87ae17930a6a5e5d3d34d57224d42ce8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-13T12:17:37Z",
    "title_canon_sha256": "66c8725f059ea2519c7dac32720f78692b7512b895d7a8eafebd0e71121ed672"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2911",
    "kind": "arxiv",
    "version": 2
  }
}