Pith Number

pith:YQSSN425

pith:2018:YQSSN425GW3ZNXBFFPABMR3IM2

not attested not anchored not stored refs pending

A variation of a theorem by P\'osa

Alexandr Kostochka, Ruth Luo, Zoltan Furedi

arxiv:1804.05829 v2 · 2018-04-16 · 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{YQSSN425GW3ZNXBFFPABMR3IM2}

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	2026-05-18T00:18:08.824364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c42526f35d35b796dc252bc01647686694bbe163d733d150430b7c8bb488108a

Aliases

arxiv: 1804.05829 · arxiv_version: 1804.05829v2 · doi: 10.48550/arxiv.1804.05829 · pith_short_12: YQSSN425GW3Z · pith_short_16: YQSSN425GW3ZNXBF · pith_short_8: YQSSN425

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/YQSSN425GW3ZNXBFFPABMR3IM2 \
  | 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: c42526f35d35b796dc252bc01647686694bbe163d733d150430b7c8bb488108a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86e25c4326f2cfe5d3bfc1d19aae7cce278e6ec2652aca82ae6fc6d76e028284",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-16T17:56:10Z",
    "title_canon_sha256": "7c3440bf0642c9e9acb4cf162a97ce44b41f91074e1605fadca34ed7b293a5ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.05829",
    "kind": "arxiv",
    "version": 2
  }
}