Pith Number

pith:RM7I2DME

pith:2017:RM7I2DMEOMQHNZSNNCMQEOWNEL

not attested not anchored not stored refs pending

Vertex-disjoint directed cycles of prescribed length in tournaments with given minimum out-degree

Maoqun Wang, Weihua Yang

arxiv:1706.01699 v3 · 2017-06-06 · 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{RM7I2DMEOMQHNZSNNCMQEOWNEL}

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	2026-05-18T00:16:56.398585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b3e8d0d84732076e64d6899023acd22e399677418e15d01f135061d501abd0c

Aliases

arxiv: 1706.01699 · arxiv_version: 1706.01699v3 · doi: 10.48550/arxiv.1706.01699 · pith_short_12: RM7I2DMEOMQH · pith_short_16: RM7I2DMEOMQHNZSN · pith_short_8: RM7I2DME

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/RM7I2DMEOMQHNZSNNCMQEOWNEL \
  | 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: 8b3e8d0d84732076e64d6899023acd22e399677418e15d01f135061d501abd0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e7e9a199104501b41a9ba7f8da1bf56bc6f644dfe4cce91901392f1dc500ae1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-06-06T11:17:50Z",
    "title_canon_sha256": "a5f5f64d2b276fb7cf7704235e72f53205eea069d37ab40f391c060629d9e9db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.01699",
    "kind": "arxiv",
    "version": 3
  }
}