Pith Number

pith:QCZ4PHMH

pith:2022:QCZ4PHMHPAPSTTDZJDM7F4TDHS

not attested not anchored not stored refs pending

Longest Cycle above Erd\H{o}s-Gallai Bound

Danil Sagunov, Fedor V. Fomin, Kirill Simonov, Petr A. Golovach

arxiv:2202.03061 v1 · 2022-02-07 · cs.DS · cs.DM · 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{QCZ4PHMHPAPSTTDZJDM7F4TDHS}

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	2026-07-05T03:54:35.307541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80b3c79d87781f29cc7948d9f2f2633ca9caca42c1843cb95283f77768ef7c6b

Aliases

arxiv: 2202.03061 · arxiv_version: 2202.03061v1 · doi: 10.48550/arxiv.2202.03061 · pith_short_12: QCZ4PHMHPAPS · pith_short_16: QCZ4PHMHPAPSTTDZ · pith_short_8: QCZ4PHMH

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/QCZ4PHMHPAPSTTDZJDM7F4TDHS \
  | 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: 80b3c79d87781f29cc7948d9f2f2633ca9caca42c1843cb95283f77768ef7c6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5eae9318bec62e72b368a3bdda781827c821771f0d766b5001f42b05ef06bd92",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2022-02-07T10:52:36Z",
    "title_canon_sha256": "100f7c4557e2c485afcfab880d23552494b001be6459bd01fd25701b11405af3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.03061",
    "kind": "arxiv",
    "version": 1
  }
}