Pith Number

pith:XCLWDCEO

pith:2016:XCLWDCEOYV6TJAH7IG5BFRRGQJ

not attested not anchored not stored refs pending

Disjoint paths in unions of tournaments

Alex Scott, Maria Chudnovsky, Paul Seymour

arxiv:1604.02317 v2 · 2016-04-08 · 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{XCLWDCEOYV6TJAH7IG5BFRRGQJ}

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	2026-05-17T23:57:33.201823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b89761888ec57d3480ff41ba12c626824c32c3c9dba5032a2b49beb84d6a897c

Aliases

arxiv: 1604.02317 · arxiv_version: 1604.02317v2 · doi: 10.48550/arxiv.1604.02317 · pith_short_12: XCLWDCEOYV6T · pith_short_16: XCLWDCEOYV6TJAH7 · pith_short_8: XCLWDCEO

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/XCLWDCEOYV6TJAH7IG5BFRRGQJ \
  | 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: b89761888ec57d3480ff41ba12c626824c32c3c9dba5032a2b49beb84d6a897c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53e227e2239c6014dcf47a43dface543e261f0177320fd48a80c8d36ecf67c0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-04-08T11:55:23Z",
    "title_canon_sha256": "b44de93d2196020d2205c87d97740289adc1adf267d7ca185ad9177900b88aeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02317",
    "kind": "arxiv",
    "version": 2
  }
}