Pith Number

pith:P4ITCXS7

pith:2014:P4ITCXS7TSSRIKVLFHOIBTOF7R

not attested not anchored not stored refs pending

On the Recognition of Fan-Planar and Maximal Outer-Fan-Planar Graphs

Luca Grilli, Michael A. Bekos, Michael Kaufmann, Sabine Cornelsen, Seok-Hee Hong

arxiv:1409.0461 v1 · 2014-09-01 · cs.CG · cs.DM · 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{P4ITCXS7TSSRIKVLFHOIBTOF7R}

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	2026-05-18T02:43:52.721951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f11315e5f9ca5142aab29dc80cdc5fc417ae990e44b2778b06ceb13e475a6ea

Aliases

arxiv: 1409.0461 · arxiv_version: 1409.0461v1 · doi: 10.48550/arxiv.1409.0461 · pith_short_12: P4ITCXS7TSSR · pith_short_16: P4ITCXS7TSSRIKVL · pith_short_8: P4ITCXS7

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/P4ITCXS7TSSRIKVLFHOIBTOF7R \
  | 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: 7f11315e5f9ca5142aab29dc80cdc5fc417ae990e44b2778b06ceb13e475a6ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "462dd539f5a2142abfb947a00444334c5607877d57b00c3692456c7ba8e12def",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2014-09-01T16:01:42Z",
    "title_canon_sha256": "40f25bf2675c5cf26044a47b3ed95f78e5a1698db77e34712382167bd3950711"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0461",
    "kind": "arxiv",
    "version": 1
  }
}