Pith Number

pith:X6C6PXPT

pith:2017:X6C6PXPTPVDDDXF3BOYO4J5ETR

not attested not anchored not stored refs pending

On the Edge-length Ratio of Outerplanar Graphs

Giuseppe Liotta, Sylvain Lazard, William Lenhart

arxiv:1709.00043 v1 · 2017-08-31 · cs.CG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X6C6PXPTPVDDDXF3BOYO4J5ETR}

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	2026-05-18T00:36:13.602288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf85e7ddf37d4631dcbb0bb0ee27a49c777aa9f5e55ddab2a4076787cdeb9822

Aliases

arxiv: 1709.00043 · arxiv_version: 1709.00043v1 · doi: 10.48550/arxiv.1709.00043 · pith_short_12: X6C6PXPTPVDD · pith_short_16: X6C6PXPTPVDDDXF3 · pith_short_8: X6C6PXPT

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/X6C6PXPTPVDDDXF3BOYO4J5ETR \
  | 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: bf85e7ddf37d4631dcbb0bb0ee27a49c777aa9f5e55ddab2a4076787cdeb9822

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2eba78ab183b1faee979acdcefee7bd81f0469b5acc9b7cdd53f91e5faf689a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2017-08-31T19:02:12Z",
    "title_canon_sha256": "e9940f7d39c44e0785128e4bcc315b9f4bc4f39c254dcfba80086815fdd5f48d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.00043",
    "kind": "arxiv",
    "version": 1
  }
}