Pith Number

pith:WT2JMZUL

pith:2018:WT2JMZULSMBXXX7642DP2ZCMQC

not attested not anchored not stored refs pending

Bounds on the Geometric Complexity of Optimal Centroidal Voronoi Tesselations in 3D

Rustum Choksi, Xin Yang Lu

arxiv:1806.07591 v2 · 2018-06-20 · math.OC · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WT2JMZULSMBXXX7642DP2ZCMQC}

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	2026-05-17T23:47:30.916620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4f496668b93037bdffee686fd644c808f03d3aa29361ce6e6e829c91ff0bef7

Aliases

arxiv: 1806.07591 · arxiv_version: 1806.07591v2 · doi: 10.48550/arxiv.1806.07591 · pith_short_12: WT2JMZULSMBX · pith_short_16: WT2JMZULSMBXXX76 · pith_short_8: WT2JMZUL

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/WT2JMZULSMBXXX7642DP2ZCMQC \
  | 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: b4f496668b93037bdffee686fd644c808f03d3aa29361ce6e6e829c91ff0bef7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "073d057938028b1c10fb5abff4bc167a50dc5cee92ec3ed45d04aac6ae66f251",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-06-20T07:41:12Z",
    "title_canon_sha256": "cf2aada19efe1ab0fd997ccce5883518804961d6e44ca7a94b0c87071839b10a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.07591",
    "kind": "arxiv",
    "version": 2
  }
}