Pith Number

pith:PGONQ5QW

pith:2009:PGONQ5QWPWHWIAUB4OPJLQ6OWS

not attested not anchored not stored refs pending

An improved linear bound on the number of perfect matchings in cubic graphs

Daniel Kral, Louis Esperet, Petr Skoda, Riste Skrekovski

arxiv:0901.3894 v1 · 2009-01-25 · 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{PGONQ5QWPWHWIAUB4OPJLQ6OWS}

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	2026-05-18T01:32:08.756947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

799cd876167d8f640281e39e95c3ceb49b67874d55cf6bc56c2c6c4d7d53bcd8

Aliases

arxiv: 0901.3894 · arxiv_version: 0901.3894v1 · doi: 10.48550/arxiv.0901.3894 · pith_short_12: PGONQ5QWPWHW · pith_short_16: PGONQ5QWPWHWIAUB · pith_short_8: PGONQ5QW

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/PGONQ5QWPWHWIAUB4OPJLQ6OWS \
  | 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: 799cd876167d8f640281e39e95c3ceb49b67874d55cf6bc56c2c6c4d7d53bcd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ed99661efdf6dca28c931b2dc36b2056e315e0ba02a8374fe14db0406b130d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-01-25T13:20:16Z",
    "title_canon_sha256": "1a02dccd7369a2bc262ab5706269f6b9a64d0add061484733cebbb182b361f90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.3894",
    "kind": "arxiv",
    "version": 1
  }
}