Pith Number

pith:IOLY7B7R

pith:2012:IOLY7B7RHKACAKV4S3YWWXML2S

not attested not anchored not stored refs pending

A stronger structure theorem for excluded topological minors

Zdenek Dvorak

arxiv:1209.0129 v1 · 2012-09-01 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IOLY7B7RHKACAKV4S3YWWXML2S}

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.

Receipt and verification

First computed	2026-05-18T03:46:29.846504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43978f87f13a80202abc96f16b5d8bd4a2a1844d1c5aeaa180f768d6d46249f4

Aliases

arxiv: 1209.0129 · arxiv_version: 1209.0129v1 · doi: 10.48550/arxiv.1209.0129 · pith_short_12: IOLY7B7RHKAC · pith_short_16: IOLY7B7RHKACAKV4 · pith_short_8: IOLY7B7R

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/IOLY7B7RHKACAKV4S3YWWXML2S \
  | 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: 43978f87f13a80202abc96f16b5d8bd4a2a1844d1c5aeaa180f768d6d46249f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14e35cae9cd5fd50a356a5e411c20fb68b34d0cf3e3da6b91ce7c63ad597f2a3",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-01T20:02:26Z",
    "title_canon_sha256": "a4d94bff9a760e7cf335f2e0b164a76be215663038b7748a73d124ac4fd9aa67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0129",
    "kind": "arxiv",
    "version": 1
  }
}