Pith Number

pith:GOUX65AT

pith:2013:GOUX65ATWYSD245QDK32HTN2FR

not attested not anchored not stored refs pending

Minimum vertex degree threshold for loose Hamilton cycles in 3-uniform hypergraphs

Jie Han, Yi Zhao

arxiv:1307.3693 v2 · 2013-07-14 · 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{GOUX65ATWYSD245QDK32HTN2FR}

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	2026-05-18T02:19:42.759288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33a97f7413b6243d73b01ab7a3cdba2c7170a6e33dbc7d01f4dace065687eb59

Aliases

arxiv: 1307.3693 · arxiv_version: 1307.3693v2 · doi: 10.48550/arxiv.1307.3693 · pith_short_12: GOUX65ATWYSD · pith_short_16: GOUX65ATWYSD245Q · pith_short_8: GOUX65AT

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/GOUX65ATWYSD245QDK32HTN2FR \
  | 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: 33a97f7413b6243d73b01ab7a3cdba2c7170a6e33dbc7d01f4dace065687eb59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93df1a67e0795bcd59c39e0b4f987e3bad15cdadd44dddf4dfdbac32504b4c3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-14T03:49:18Z",
    "title_canon_sha256": "faa8412d1f5958ade9adf807865811e55a64221d41fea17b6157dbb33797d812"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3693",
    "kind": "arxiv",
    "version": 2
  }
}