Pith Number

pith:5JX4RFMJ

pith:2008:5JX4RFMJFJDXQTFE72WWOY2QZ6

not attested not anchored not stored refs pending

Loose Hamilton cycles in hypergraphs

Daniela K\"uhn, Deryk Osthus, Peter Keevash, Richard Mycroft

arxiv:0808.1713 v2 · 2008-08-12 · 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{5JX4RFMJFJDXQTFE72WWOY2QZ6}

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	2026-05-18T01:33:17.261033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea6fc895892a47784ca4fead676350cf8a53f0d4ee9a4beea7b7c026223fe450

Aliases

arxiv: 0808.1713 · arxiv_version: 0808.1713v2 · doi: 10.48550/arxiv.0808.1713 · pith_short_12: 5JX4RFMJFJDX · pith_short_16: 5JX4RFMJFJDXQTFE · pith_short_8: 5JX4RFMJ

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/5JX4RFMJFJDXQTFE72WWOY2QZ6 \
  | 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: ea6fc895892a47784ca4fead676350cf8a53f0d4ee9a4beea7b7c026223fe450

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25a24c56c4cef28ea865e85a0de36f8bf7ddd1e8554e0263d82e9678097bda08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-08-12T18:58:59Z",
    "title_canon_sha256": "2049b37a7f33b4321e8d16fc900878f67d3b1d304dc5fcbcc8fc6a2b7810e258"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.1713",
    "kind": "arxiv",
    "version": 2
  }
}