Pith Number

pith:OZH6IBBM

pith:2009:OZH6IBBMYHMTOCOL7WSV77UUEZ

not attested not anchored not stored refs pending

Spectral radius of finite and infinite planar graphs and of graphs of bounded genus

Bojan Mohar, Zdenek Dvorak

arxiv:0907.1591 v1 · 2009-07-09 · 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{OZH6IBBMYHMTOCOL7WSV77UUEZ}

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	2026-05-18T04:31:42.324081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

764fe4042cc1d93709cbfda55ffe942648704fdae909715ff5b4bcd50b53c428

Aliases

arxiv: 0907.1591 · arxiv_version: 0907.1591v1 · doi: 10.48550/arxiv.0907.1591 · pith_short_12: OZH6IBBMYHMT · pith_short_16: OZH6IBBMYHMTOCOL · pith_short_8: OZH6IBBM

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/OZH6IBBMYHMTOCOL7WSV77UUEZ \
  | 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: 764fe4042cc1d93709cbfda55ffe942648704fdae909715ff5b4bcd50b53c428

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73bc446ffcbe14741a130075aa0ea07f0c57824b4dc9e07cf327dfc6a610cfbc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-07-09T15:42:34Z",
    "title_canon_sha256": "462a75a3730fd88ec6fb37b6449589e9cb925aee75ec663ddb5c955a2265e12d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.1591",
    "kind": "arxiv",
    "version": 1
  }
}