Pith Number

pith:QQX4FX3J

pith:2025:QQX4FX3JSVUCFDSKX6BSXLX677

not attested not anchored not stored refs pending

Asymptotic structure. IV. A counterexample to the weak coarse Menger conjecture

Alex Scott, Paul Seymour, Tung Nguyen

arxiv:2508.14332 v1 · 2025-08-20 · 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{QQX4FX3JSVUCFDSKX6BSXLX677}

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

5 papers in Pith

A coarse block-cutvertex tree-decomposition

A coarse block-cut tree theorem

A coarse Menger theorem for hyperbolic graphs, finitely presented groups, and more

A coarse Menger's Theorem for planar and bounded genus graphs

Coarse Menger property of quasi-minor excluded graphs and length spaces

Receipt and verification

First computed	2026-07-05T11:56:29.973896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

842fc2df699568228e4abf832baefefff73d429f6b4ee0b04c659f1a73418c62

Aliases

arxiv: 2508.14332 · arxiv_version: 2508.14332v1 · doi: 10.48550/arxiv.2508.14332 · pith_short_12: QQX4FX3JSVUC · pith_short_16: QQX4FX3JSVUCFDSK · pith_short_8: QQX4FX3J

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/QQX4FX3JSVUCFDSKX6BSXLX677 \
  | 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: 842fc2df699568228e4abf832baefefff73d429f6b4ee0b04c659f1a73418c62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f447f9e973b51a5ed05776864d4c6138c3e85cae1af0b11c991fbdf997ff69a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-08-20T01:04:11Z",
    "title_canon_sha256": "5598160e10f91fb77939b41f9b26a192c45bab0c87b2f447595fdcc1a1f918a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.14332",
    "kind": "arxiv",
    "version": 1
  }
}