Pith Number

pith:DMZG36DV

pith:2014:DMZG36DVTQLNMRMIMRUDGHLC6Q

not attested not anchored not stored refs pending

Framed 4-valent Graph Minor Theory I: Intoduction. A Planarity Criterion and Linkless Embeddability

Vassily Olegovich Manturov

arxiv:1402.1564 v1 · 2014-02-07 · 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{DMZG36DVTQLNMRMIMRUDGHLC6Q}

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	2026-05-18T02:59:46.860605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b326df8759c16d645886468331d62f4270c1e8b5b986c770f18886197184cf0

Aliases

arxiv: 1402.1564 · arxiv_version: 1402.1564v1 · doi: 10.48550/arxiv.1402.1564 · pith_short_12: DMZG36DVTQLN · pith_short_16: DMZG36DVTQLNMRMI · pith_short_8: DMZG36DV

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/DMZG36DVTQLNMRMIMRUDGHLC6Q \
  | 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: 1b326df8759c16d645886468331d62f4270c1e8b5b986c770f18886197184cf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a43cc71f6859a7d9b99dd60805e2e80b100bb005cd308441f7432f1994017416",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-02-07T07:37:28Z",
    "title_canon_sha256": "2ceb90a8c1bf4598f72d40abcd94cdda3d2e077ec3fc5f1183dde2d02cb9f0b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.1564",
    "kind": "arxiv",
    "version": 1
  }
}