Pith Number

pith:FF4M7JKT

pith:2018:FF4M7JKTRPPSOAT3ITXGSMJSDX

not attested not anchored not stored refs pending

Pure pairs. II. Excluding all subdivisions of a graph

Alex Scott, Maria Chudnovsky, Paul Seymour, Sophie Spirkl

arxiv:1804.01060 v2 · 2018-04-03 · 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{FF4M7JKTRPPSOAT3ITXGSMJSDX}

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.

Cited by

1 paper in Pith

A sharp threshold phenomenon in string graphs

Receipt and verification

First computed	2026-07-05T01:07:23.924090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2978cfa5538bdf27027b44ee6931321ddc958ba20d8403dd9e49eaeabcc9034a

Aliases

arxiv: 1804.01060 · arxiv_version: 1804.01060v2 · doi: 10.48550/arxiv.1804.01060 · pith_short_12: FF4M7JKTRPPS · pith_short_16: FF4M7JKTRPPSOAT3 · pith_short_8: FF4M7JKT

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/FF4M7JKTRPPSOAT3ITXGSMJSDX \
  | 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: 2978cfa5538bdf27027b44ee6931321ddc958ba20d8403dd9e49eaeabcc9034a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d7eac0ab0dfbfe96911341cb1b0a86c181247982e9c85ecd079bc2984c13eb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-03T16:47:20Z",
    "title_canon_sha256": "775cd1478538c9806dab7cbb209586a37a55ea275ab5f7f402f31141661b5c06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.01060",
    "kind": "arxiv",
    "version": 2
  }
}