Pith Number

pith:U3B7MQNU

pith:2018:U3B7MQNUELYSUX4GFMGTEAX3WO

not attested not anchored not stored refs pending

Approval Gap of Weighted k-Majority Tournaments

Breenn Flesch, Dane Miyata, Erin M. McNicholas, Jeremy Coste, Joshua D. Laison

arxiv:1808.02076 v1 · 2018-08-06 · 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{U3B7MQNUELYSUX4GFMGTEAX3WO}

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	2026-05-18T00:08:47.702657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6c3f641b422f12a5f862b0d3202fbb399f600d846a71ef2cdc6d2c05c6a0b5b

Aliases

arxiv: 1808.02076 · arxiv_version: 1808.02076v1 · doi: 10.48550/arxiv.1808.02076 · pith_short_12: U3B7MQNUELYS · pith_short_16: U3B7MQNUELYSUX4G · pith_short_8: U3B7MQNU

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/U3B7MQNUELYSUX4GFMGTEAX3WO \
  | 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: a6c3f641b422f12a5f862b0d3202fbb399f600d846a71ef2cdc6d2c05c6a0b5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d51cf907e5d1aca648f91b4aa9abd094f5572186d684e6d40331e4bfb1bf4468",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-06T19:19:03Z",
    "title_canon_sha256": "55b66976d37667fd35d62bba945a13ada2c571d33ff71b2819477a244fad9f5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.02076",
    "kind": "arxiv",
    "version": 1
  }
}