Pith Number

pith:66W57ASJ

pith:2012:66W57ASJAM3RNTDRVSBLSNH3CS

not attested not anchored not stored refs pending

Some lower bounds for the $L$-intersection number of graphs

Behnaz Omoomi, Zeinab Maleki

arxiv:1211.0328 v3 · 2012-11-01 · 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{66W57ASJAM3RNTDRVSBLSNH3CS}

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	2026-05-18T03:15:32.529559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7addf8249033716cc71ac82b934fb14ba25c3b598cb93fd091de8add50a8b84

Aliases

arxiv: 1211.0328 · arxiv_version: 1211.0328v3 · doi: 10.48550/arxiv.1211.0328 · pith_short_12: 66W57ASJAM3R · pith_short_16: 66W57ASJAM3RNTDR · pith_short_8: 66W57ASJ

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/66W57ASJAM3RNTDRVSBLSNH3CS \
  | 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: f7addf8249033716cc71ac82b934fb14ba25c3b598cb93fd091de8add50a8b84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "714c8d7fa9a14736f29ffd9cc87fa03dc0be0e3e19e34d1ea76d39ac5cb8c733",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-01T23:47:21Z",
    "title_canon_sha256": "c1d8192405680e1ce0e08a5b6863528c0b384d65dc809ae9c69ed6dcdc649989"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0328",
    "kind": "arxiv",
    "version": 3
  }
}