Pith Number

pith:MADT5QM5

pith:2023:MADT5QM5FFQDOOZ6VGOH2R6NXU

not attested not anchored not stored refs pending

Geometric Batch Optimization for the Packing Equal Circles in a Circle Problem on Large Scale

Chu-Min Li, Jianrong Zhou, Jiongzhi Zheng, Kun He

arxiv:2303.02650 v2 · 2023-03-05 · cs.CG · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MADT5QM5FFQDOOZ6VGOH2R6NXU}

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	2026-07-05T05:49:18.570583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60073ec19d2960373b3ea99c7d47cdbd1130806c43f7dbbe2e98bf68018bb88f

Aliases

arxiv: 2303.02650 · arxiv_version: 2303.02650v2 · doi: 10.48550/arxiv.2303.02650 · pith_short_12: MADT5QM5FFQD · pith_short_16: MADT5QM5FFQDOOZ6 · pith_short_8: MADT5QM5

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/MADT5QM5FFQDOOZ6VGOH2R6NXU \
  | 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: 60073ec19d2960373b3ea99c7d47cdbd1130806c43f7dbbe2e98bf68018bb88f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c325d298586c3c3a06c9add295023d6d4a395af4a31e9dddc02b5101de4e4214",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2023-03-05T11:57:18Z",
    "title_canon_sha256": "2a4a99e63c25a1e43081fc55f31c288a9c11d0d7f4f91aaf53b360cdeb353afd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.02650",
    "kind": "arxiv",
    "version": 2
  }
}