Pith Number

pith:E23CMEYU

pith:2008:E23CMEYU7BDJQRL5WW6PKSRVZI

not attested not anchored not stored refs pending

An exact minimum degree condition for Hamilton cycles in oriented graphs

Daniela K\"uhn, Deryk Osthus, Peter Keevash

arxiv:0801.0394 v3 · 2008-01-02 · 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{E23CMEYU7BDJQRL5WW6PKSRVZI}

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	2026-05-18T02:58:11.922951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26b6261314f84698457db5bcf54a35ca011f84d8b018c26b7d347079b1e6e273

Aliases

arxiv: 0801.0394 · arxiv_version: 0801.0394v3 · doi: 10.48550/arxiv.0801.0394 · pith_short_12: E23CMEYU7BDJ · pith_short_16: E23CMEYU7BDJQRL5 · pith_short_8: E23CMEYU

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/E23CMEYU7BDJQRL5WW6PKSRVZI \
  | 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: 26b6261314f84698457db5bcf54a35ca011f84d8b018c26b7d347079b1e6e273

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ae14c4692dca0a738694c54ae018c66efbdc36692f2f1467710e45fde939b59",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2008-01-02T14:22:05Z",
    "title_canon_sha256": "c8d96fedd1d9969dc0867f3a124acf037238e570f2e023cdf7c9bf862211ebd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.0394",
    "kind": "arxiv",
    "version": 3
  }
}