Pith Number

pith:IHARSQT5

pith:2015:IHARSQT5OSH57232UA5NAXWNIT

not attested not anchored not stored refs pending

Geometric k-Center Problems with Centers Constrained to Two Lines

Binay Bhattacharya, Naoki Katoh, Sandip Das, Tsunehiko Kameda, Yuya Higashikawa

arxiv:1512.07533 v2 · 2015-12-23 · 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{IHARSQT5OSH57232UA5NAXWNIT}

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	2026-05-18T01:16:15.034514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41c119427d748fdfeb7aa03ad05ecd44ed201d60467b59dbb139bc70d68fb37e

Aliases

arxiv: 1512.07533 · arxiv_version: 1512.07533v2 · doi: 10.48550/arxiv.1512.07533 · pith_short_12: IHARSQT5OSH5 · pith_short_16: IHARSQT5OSH57232 · pith_short_8: IHARSQT5

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/IHARSQT5OSH57232UA5NAXWNIT \
  | 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: 41c119427d748fdfeb7aa03ad05ecd44ed201d60467b59dbb139bc70d68fb37e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b83ac8a011b2ebc33d20760594deddb9247e78f72ddea45ed401615dc95ab70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2015-12-23T16:33:11Z",
    "title_canon_sha256": "76570669e058e44cba494fc84064a0edadedbad525925ec5d73ed8367065826a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07533",
    "kind": "arxiv",
    "version": 2
  }
}