Pith Number

pith:L5M4Y474

pith:2015:L5M4Y474KN2VQ5IGVA5A3MQTCR

not attested not anchored not stored refs pending

Quantization and centroidal Voronoi tessellations for probability measures on dyadic Cantor sets

Mrinal Kanti Roychowdhury

arxiv:1509.06037 v15 · 2015-09-20 · math.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{L5M4Y474KN2VQ5IGVA5A3MQTCR}

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	2026-05-18T00:46:53.775545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f59cc73fc5375587506a83a0db213145f1d410170f59ec1915fd8af8bf27213

Aliases

arxiv: 1509.06037 · arxiv_version: 1509.06037v15 · doi: 10.48550/arxiv.1509.06037 · pith_short_12: L5M4Y474KN2V · pith_short_16: L5M4Y474KN2VQ5IG · pith_short_8: L5M4Y474

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/L5M4Y474KN2VQ5IGVA5A3MQTCR \
  | 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: 5f59cc73fc5375587506a83a0db213145f1d410170f59ec1915fd8af8bf27213

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c417dced98184a0e14730344db8c545eb98a3c5b2ac2196adf8efd97992cf41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-09-20T18:31:20Z",
    "title_canon_sha256": "ae02101c48d77f6cc12a145c36049bb5d4094618074f90bab817cecbf96c0d50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06037",
    "kind": "arxiv",
    "version": 15
  }
}