Pith Number

pith:H33PPWP7

pith:2020:H33PPWP7KMUMZ2ZAKIX5WSGV5S

not attested not anchored not stored refs pending

Longest cycles in 3-connected hypergraphs and bipartite graphs

Alexandr Kostochka, Dara Zirlin, Mikhail Lavrov, Ruth Luo

arxiv:2004.08291 v1 · 2020-04-17 · 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{H33PPWP7KMUMZ2ZAKIX5WSGV5S}

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	2026-07-05T00:55:51.875763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ef6f7d9ff5328cceb20522fdb48d5ec88cb4b118560f93cdc392afe8ea5e0b9

Aliases

arxiv: 2004.08291 · arxiv_version: 2004.08291v1 · doi: 10.48550/arxiv.2004.08291 · pith_short_12: H33PPWP7KMUM · pith_short_16: H33PPWP7KMUMZ2ZA · pith_short_8: H33PPWP7

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/H33PPWP7KMUMZ2ZAKIX5WSGV5S \
  | 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: 3ef6f7d9ff5328cceb20522fdb48d5ec88cb4b118560f93cdc392afe8ea5e0b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dec9b1f8f96c1c918ac3278f701f5c2fd212a8576bf475399268041977b3ec2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-04-17T15:00:12Z",
    "title_canon_sha256": "2481f1beb1f27436bd3411d9fb1bac71247dc6940584190616ca6c62355e7db7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.08291",
    "kind": "arxiv",
    "version": 1
  }
}