Pith Number

pith:UGU4Y6OW

pith:2015:UGU4Y6OWOR7QBA6IP2Y3CON5TA

not attested not anchored not stored refs pending

The Number of Seymour Vertices in Random Tournaments and Digraphs

Anant Godbole, Elizabeth Wright Harkness, Yiguang Zhang, Zachary Cohn

arxiv:1502.04061 v1 · 2015-02-13 · 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{UGU4Y6OWOR7QBA6IP2Y3CON5TA}

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	2026-05-18T02:27:06.639022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1a9cc79d6747f0083c87eb1b139bd98288e54a85540857a61552662cb146c75

Aliases

arxiv: 1502.04061 · arxiv_version: 1502.04061v1 · doi: 10.48550/arxiv.1502.04061 · pith_short_12: UGU4Y6OWOR7Q · pith_short_16: UGU4Y6OWOR7QBA6I · pith_short_8: UGU4Y6OW

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/UGU4Y6OWOR7QBA6IP2Y3CON5TA \
  | 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: a1a9cc79d6747f0083c87eb1b139bd98288e54a85540857a61552662cb146c75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "318c55f043a31854b5032a3d16bbf1d1ce352463d61c6cef96cf43debafc1154",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-13T17:12:11Z",
    "title_canon_sha256": "790fd05c280e209a87853198566819c47c52ad83d7b7ed2a7c5dd710aad8ee1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04061",
    "kind": "arxiv",
    "version": 1
  }
}