Pith Number

pith:Q4IF4E7Z

pith:2018:Q4IF4E7ZLPSVL7JO355IX7S44X

not attested not anchored not stored refs pending

Plane and Planarity Thresholds for Random Geometric Graphs

Ahmad Biniaz, Anil Maheshwari, Evangelos Kranakis, Michiel Smid

arxiv:1809.10737 v1 · 2018-09-27 · cs.DM · cs.CG · 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{Q4IF4E7ZLPSVL7JO355IX7S44X}

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	2026-05-18T00:04:35.179529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87105e13f95be555fd2edf7a8bfe5ce5e0cf13d3792ccc34599a50277b6fe38d

Aliases

arxiv: 1809.10737 · arxiv_version: 1809.10737v1 · doi: 10.48550/arxiv.1809.10737 · pith_short_12: Q4IF4E7ZLPSV · pith_short_16: Q4IF4E7ZLPSVL7JO · pith_short_8: Q4IF4E7Z

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/Q4IF4E7ZLPSVL7JO355IX7S44X \
  | 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: 87105e13f95be555fd2edf7a8bfe5ce5e0cf13d3792ccc34599a50277b6fe38d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7462cc525e254ec2e3519720ead9b00ae041c841ddb1cb01a2554b5b50c9ffce",
    "cross_cats_sorted": [
      "cs.CG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-09-27T19:36:25Z",
    "title_canon_sha256": "91836ba353a735371fd282f4b0087d5aa39b251af1f50415448fa670478cdcaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.10737",
    "kind": "arxiv",
    "version": 1
  }
}