Pith Number

pith:JLEO2JDM

pith:2013:JLEO2JDM3357FEQWAZGTOZEEQ5

not attested not anchored not stored refs pending

On the Number of Edges of Fan-Crossing Free Graphs

Heuna Kim, Hyo-Sil Kim, Otfried Cheong, Sariel Har-Peled

arxiv:1311.1976 v1 · 2013-11-08 · 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{JLEO2JDM3357FEQWAZGTOZEEQ5}

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	2026-05-18T03:07:41.829086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ac8ed246cdefbf29216064d3764848753c65df20639534f7c51add15b363497

Aliases

arxiv: 1311.1976 · arxiv_version: 1311.1976v1 · doi: 10.48550/arxiv.1311.1976 · pith_short_12: JLEO2JDM3357 · pith_short_16: JLEO2JDM3357FEQW · pith_short_8: JLEO2JDM

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/JLEO2JDM3357FEQWAZGTOZEEQ5 \
  | 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: 4ac8ed246cdefbf29216064d3764848753c65df20639534f7c51add15b363497

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5dc764740b93c565ee76dc3927ea9e8a3515c43fe39a51015a530a1a85cdc08",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2013-11-08T14:16:56Z",
    "title_canon_sha256": "0140d6435ec7aeadd8502b2695ad81309a5bb05df44d2ae8a72b66e093ef77d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1976",
    "kind": "arxiv",
    "version": 1
  }
}