Pith Number

pith:ATU2BLTA

pith:2015:ATU2BLTACJBICBR6T6ZBFI4GU5

not attested not anchored not stored refs pending

An improved lower bound for one-dimensional online unit clustering

Jun Kawahara, Koji M. Kobayashi

arxiv:1502.02422 v1 · 2015-02-09 · cs.DS · 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{ATU2BLTACJBICBR6T6ZBFI4GU5}

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	2026-05-18T02:27:42.401016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04e9a0ae60124281063e9fb212a386a77275303ed10ac887959b1080e9dce0f7

Aliases

arxiv: 1502.02422 · arxiv_version: 1502.02422v1 · doi: 10.48550/arxiv.1502.02422 · pith_short_12: ATU2BLTACJBI · pith_short_16: ATU2BLTACJBICBR6 · pith_short_8: ATU2BLTA

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/ATU2BLTACJBICBR6T6ZBFI4GU5 \
  | 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: 04e9a0ae60124281063e9fb212a386a77275303ed10ac887959b1080e9dce0f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00677d55fe7f481f5dd9c8291f24299538300d2e77fd48d3144ce3c93f3d232b",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-02-09T10:34:48Z",
    "title_canon_sha256": "5ec46e78df8e270b6d01e30ac094095f9e9d0d1bd81c9e3be4b687f8ac5bb9e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02422",
    "kind": "arxiv",
    "version": 1
  }
}