Pith Number

pith:KI7YVUZ7

pith:2024:KI7YVUZ7AHE73ALAXTUVXOTCN4

not attested not anchored not stored refs pending

Obstructions to Erd\H{o}s-P\'osa Dualities for Minors

Christophe Paul, Dimitrios M. Thilikos, Evangelos Protopapas, Sebastian Wiederrecht

arxiv:2407.09671 v2 · 2024-07-12 · math.CO · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KI7YVUZ7AHE73ALAXTUVXOTCN4}

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

3 papers in Pith

An Erd\H{o}s-P\'osa theorem for cycles and faces of distinct lengths

Optimal Bounds for the k-Disjoint Paths Problem

An Overview of Universal Obstructions for Graph Parameters

Receipt and verification

First computed	2026-07-05T08:44:15.990632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

523f8ad33f01c9fd8160bce95bba626f1493684401234aa9c4c3e3b2b1e32fcc

Aliases

arxiv: 2407.09671 · arxiv_version: 2407.09671v2 · doi: 10.48550/arxiv.2407.09671 · pith_short_12: KI7YVUZ7AHE7 · pith_short_16: KI7YVUZ7AHE73ALA · pith_short_8: KI7YVUZ7

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/KI7YVUZ7AHE73ALAXTUVXOTCN4 \
  | 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: 523f8ad33f01c9fd8160bce95bba626f1493684401234aa9c4c3e3b2b1e32fcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc4244626407ee5fa18d6e2ae5a70c7bb85f9ccb353e4616f49c37e6a43211bd",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-07-12T20:08:19Z",
    "title_canon_sha256": "8c6f6f7afc47f553d96c7dce8559fb58072a45812e5778e2fff99aad1303027b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.09671",
    "kind": "arxiv",
    "version": 2
  }
}