Pith Number

pith:IHU5TCCS

pith:2019:IHU5TCCSZQ2A3EBB3PYS73TM4D

not attested not anchored not stored refs pending

On the Planar Edge-Length Ratio of Planar Graphs

Fabrizio Frati, Manuel Borrazzo

arxiv:1908.03586 v3 · 2019-08-09 · cs.DS · 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{IHU5TCCSZQ2A3EBB3PYS73TM4D}

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	2026-07-05T00:54:29.953872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41e9d98852cc340d9021dbf12fee6ce0d3c3c09d03cfb5dcfd668c8cb09b784f

Aliases

arxiv: 1908.03586 · arxiv_version: 1908.03586v3 · doi: 10.48550/arxiv.1908.03586 · pith_short_12: IHU5TCCSZQ2A · pith_short_16: IHU5TCCSZQ2A3EBB · pith_short_8: IHU5TCCS

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/IHU5TCCSZQ2A3EBB3PYS73TM4D \
  | 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: 41e9d98852cc340d9021dbf12fee6ce0d3c3c09d03cfb5dcfd668c8cb09b784f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07032406f645805577b3675e8c29388ab59002f286c42794230f6cb3d3372300",
    "cross_cats_sorted": [
      "cs.CG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2019-08-09T18:05:49Z",
    "title_canon_sha256": "d4e8bdce57d7ee6c4d6d4c97d3960b34e3a3da816f5a442b9fc8062e48b82faa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03586",
    "kind": "arxiv",
    "version": 3
  }
}