Pith Number

pith:54A23C4D

pith:2010:54A23C4DFUP7LCE6BHRS2YCN7D

not attested not anchored not stored refs pending

An Optimized Divide-and-Conquer Algorithm for the Closest-Pair Problem in the Planar Case

Fernando G. Lobo, Jos\'e C. Pereira

arxiv:1010.5908 v3 · 2010-10-28 · 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{54A23C4DFUP7LCE6BHRS2YCN7D}

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	2026-05-18T02:23:38.407686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef01ad8b832d1ff5889e09e32d604df8d0d36651e23347730fe1a1730c908c1a

Aliases

arxiv: 1010.5908 · arxiv_version: 1010.5908v3 · doi: 10.48550/arxiv.1010.5908 · pith_short_12: 54A23C4DFUP7 · pith_short_16: 54A23C4DFUP7LCE6 · pith_short_8: 54A23C4D

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/54A23C4DFUP7LCE6BHRS2YCN7D \
  | 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: ef01ad8b832d1ff5889e09e32d604df8d0d36651e23347730fe1a1730c908c1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d64f6500b5653e11db930893aed29b370d8a79a7588b0718970f8440261b8971",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2010-10-28T09:52:34Z",
    "title_canon_sha256": "c0c581d73f890ea6e28e7d9e7b8047defd6e5414c865527596a15d2fc2c9d709"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5908",
    "kind": "arxiv",
    "version": 3
  }
}