Pith Number

pith:4D3PBZ3K

pith:2016:4D3PBZ3KZMHZJRQQHRUWM3FWKZ

not attested not anchored not stored refs pending

A stability version for a theorem of Erd\H{o}s on nonhamiltonian graphs

Alexandr Kostochka, Ruth Luo, Zolt\'an F\"uredi

arxiv:1608.05741 v2 · 2016-08-19 · 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{4D3PBZ3KZMHZJRQQHRUWM3FWKZ}

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	2026-05-18T00:46:55.605819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0f6f0e76acb0f94c6103c69666cb656500574c2434d1cc73a4cf52018c1385a

Aliases

arxiv: 1608.05741 · arxiv_version: 1608.05741v2 · doi: 10.48550/arxiv.1608.05741 · pith_short_12: 4D3PBZ3KZMHZ · pith_short_16: 4D3PBZ3KZMHZJRQQ · pith_short_8: 4D3PBZ3K

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/4D3PBZ3KZMHZJRQQHRUWM3FWKZ \
  | 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: e0f6f0e76acb0f94c6103c69666cb656500574c2434d1cc73a4cf52018c1385a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae76a967b7181bac847fedd3775aefddfd74d6285450469660dab12742054312",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-19T21:30:30Z",
    "title_canon_sha256": "ea893125ab44bb7dc7bc9801967aafeda84c6ac59bc478b5443345224e5177f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05741",
    "kind": "arxiv",
    "version": 2
  }
}