Pith Number

pith:BBPPG43F

pith:2014:BBPPG43FPVRSP4K6KVMWPZIBF7

not attested not anchored not stored refs pending

Disjoint paths in tournaments

Alex Scott, Maria Chudnovsky, Paul Seymour

arxiv:1411.6226 v1 · 2014-11-23 · 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{BBPPG43FPVRSP4K6KVMWPZIBF7}

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	2026-05-18T02:33:00.457754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

085ef373657d6327f15e555967e5012fcc300d36881bb0868e8d593bf3e465b0

Aliases

arxiv: 1411.6226 · arxiv_version: 1411.6226v1 · doi: 10.48550/arxiv.1411.6226 · pith_short_12: BBPPG43FPVRS · pith_short_16: BBPPG43FPVRSP4K6 · pith_short_8: BBPPG43F

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/BBPPG43FPVRSP4K6KVMWPZIBF7 \
  | 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: 085ef373657d6327f15e555967e5012fcc300d36881bb0868e8d593bf3e465b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb0e823b5b108290b86284aa2348e94a3aaed09230a4025edba35a4c85595e40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-11-23T11:17:38Z",
    "title_canon_sha256": "47c30f264cb7b45e4d1248552faa7b7d3a4933b958ac30dd866d50793da4227c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6226",
    "kind": "arxiv",
    "version": 1
  }
}