Pith Number

pith:O6LT74BF

pith:2014:O6LT74BFLCWLWXI45BJLIIOFFQ

not attested not anchored not stored refs pending

Maximum density of an induced 5-cycle is achieved by an iterated blow-up of a 5-cycle

Bernard Lidick\'y, Florian Pfender, J\'ozsef Balogh, Ping Hu

arxiv:1411.4645 v1 · 2014-11-17 · 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{O6LT74BFLCWLWXI45BJLIIOFFQ}

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	2026-05-18T00:54:58.341097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77973ff02558acbb5d1ce852b421c52c31a38a49a71aacb4cb9e76a13e74e5fa

Aliases

arxiv: 1411.4645 · arxiv_version: 1411.4645v1 · doi: 10.48550/arxiv.1411.4645 · pith_short_12: O6LT74BFLCWL · pith_short_16: O6LT74BFLCWLWXI4 · pith_short_8: O6LT74BF

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/O6LT74BFLCWLWXI45BJLIIOFFQ \
  | 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: 77973ff02558acbb5d1ce852b421c52c31a38a49a71aacb4cb9e76a13e74e5fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c375d9d5c5bfe1378b605dbde6181bf8e3ceb18b93ba76620a69bfbde401d9ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-11-17T20:48:48Z",
    "title_canon_sha256": "a34f120a73dc6ac4286a902ee02686a1fecc7267f3cd330867c5476a6043b7d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4645",
    "kind": "arxiv",
    "version": 1
  }
}