Pith Number

pith:G4PTFRBQ

pith:2018:G4PTFRBQ6KATK2BABU5UBZSUC6

not attested not anchored not stored refs pending

The structure of graphs with no K_{3,3} immersion

Mahdieh Malekian, Matt DeVos

arxiv:1810.12873 v2 · 2018-10-30 · 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{G4PTFRBQ6KATK2BABU5UBZSUC6}

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	2026-05-18T00:01:37.358481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

371f32c430f2813568200d3b40e65417aa41f09ffcab330c570e22fc3785c5fe

Aliases

arxiv: 1810.12873 · arxiv_version: 1810.12873v2 · doi: 10.48550/arxiv.1810.12873 · pith_short_12: G4PTFRBQ6KAT · pith_short_16: G4PTFRBQ6KATK2BA · pith_short_8: G4PTFRBQ

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/G4PTFRBQ6KATK2BABU5UBZSUC6 \
  | 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: 371f32c430f2813568200d3b40e65417aa41f09ffcab330c570e22fc3785c5fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4962c28387cae663d8b0eda7f74f2b067a7c18287bf3c6616d8454590e2886e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-30T17:18:43Z",
    "title_canon_sha256": "4693ff550d0ee5f6ae10f837e338da0edd8c4f5e2959363d447c297aa3d4cca9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.12873",
    "kind": "arxiv",
    "version": 2
  }
}