Pith Number

pith:WUY5GWMK

pith:2023:WUY5GWMKNXMXETLV7UK5KWUPV7

not attested not anchored not stored refs pending

Graph minors and metric spaces

Agelos Georgakopoulos, Panos Papasoglu

arxiv:2305.07456 v3 · 2023-05-12 · math.CO · math.GT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WUY5GWMKNXMXETLV7UK5KWUPV7}

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

4 papers in Pith

Accessibility, planar graphs, and quasi-isometries

Erd\H{o}s--P\'{o}sa property of cycles that are far apart

(Treewidth, Clique)-Boundedness and Poly-logarithmic Tree-Independence

Almost planar finitely presented groups

Receipt and verification

First computed	2026-07-05T10:31:38.958455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b531d3598a6dd9724d75fd15d55a8fafccc7f3c1fdd963d575daec656c3189fa

Aliases

arxiv: 2305.07456 · arxiv_version: 2305.07456v3 · doi: 10.48550/arxiv.2305.07456 · pith_short_12: WUY5GWMKNXMX · pith_short_16: WUY5GWMKNXMXETLV · pith_short_8: WUY5GWMK

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/WUY5GWMKNXMXETLV7UK5KWUPV7 \
  | 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: b531d3598a6dd9724d75fd15d55a8fafccc7f3c1fdd963d575daec656c3189fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b507ac5f912ae7b6a22c8ddfe2ed103e7afdc489e386e9abadaeba1d9be49f3",
    "cross_cats_sorted": [
      "math.GT",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-05-12T13:09:04Z",
    "title_canon_sha256": "445e218c630c05a3aa077a69289cbac658b8638509b81bdb7a307691b5171d11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.07456",
    "kind": "arxiv",
    "version": 3
  }
}