Pith Number

pith:IOPBDHHQ

pith:2025:IOPBDHHQITGHX4G4VV3YPSNBMM

not attested not anchored not stored refs pending

Asymptotic structure. I. Coarse tree-width

Alex Scott, Paul Seymour, Tung Nguyen

arxiv:2501.09839 v3 · 2025-01-16 · 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{IOPBDHHQITGHX4G4VV3YPSNBMM}

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

Vertex cuts and median decompositions

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	2026-07-05T12:05:12.356975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

439e119cf044cc7bf0dcad7787c9a163345f704637c66097391fcc72b43df2ff

Aliases

arxiv: 2501.09839 · arxiv_version: 2501.09839v3 · doi: 10.48550/arxiv.2501.09839 · pith_short_12: IOPBDHHQITGH · pith_short_16: IOPBDHHQITGHX4G4 · pith_short_8: IOPBDHHQ

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/IOPBDHHQITGHX4G4VV3YPSNBMM \
  | 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: 439e119cf044cc7bf0dcad7787c9a163345f704637c66097391fcc72b43df2ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "454f801fa7eac873ed4785029fc48867c1bb8e6df2ffba44afe855596dbd03fb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-01-16T20:57:17Z",
    "title_canon_sha256": "d01fe010767ba94c70d9a53ea805a78c08478aa83effbcb24d1889621efc1446"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.09839",
    "kind": "arxiv",
    "version": 3
  }
}