Pith Number

pith:X7YGJE74

pith:2016:X7YGJE74WD3QKGXCWG64PS6IEY

not attested not anchored not stored refs pending

Updating the Number of Crossings in Rectilinear Drawings of the Complete Graph

Frank Duque, Ruy Fabila-Monroy

arxiv:1609.00867 v2 · 2016-09-03 · 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{X7YGJE74WD3QKGXCWG64PS6IEY}

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	2026-05-18T00:30:48.824764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bff06493fcb0f7051ae2b1bdc7cbc82618d3d5371f702d2df04f128886ebfff5

Aliases

arxiv: 1609.00867 · arxiv_version: 1609.00867v2 · doi: 10.48550/arxiv.1609.00867 · pith_short_12: X7YGJE74WD3Q · pith_short_16: X7YGJE74WD3QKGXC · pith_short_8: X7YGJE74

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/X7YGJE74WD3QKGXCWG64PS6IEY \
  | 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: bff06493fcb0f7051ae2b1bdc7cbc82618d3d5371f702d2df04f128886ebfff5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f8fedb912834fea6d647f9def6cf4f9ec4fd6dbeaf4853e547d3b8deabf3964",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2016-09-03T21:44:27Z",
    "title_canon_sha256": "bf436b009d3e93c8e1a6f50344ecb910ec9e6bb0544488b3627f7f1e21e4dcb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00867",
    "kind": "arxiv",
    "version": 2
  }
}