Pith Number

pith:QMZSPDYZ

pith:2013:QMZSPDYZSMRS7J32WASDRTAEGU

not attested not anchored not stored refs pending

Consistency of Probability Measure Quantization by Means of Power Repulsion-Attraction Potentials

Jan-Christian H\"utter, Massimo Fornasier

arxiv:1310.1120 v1 · 2013-10-03 · math.FA · math.OC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QMZSPDYZSMRS7J32WASDRTAEGU}

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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.

Cited by

1 paper in Pith

Sharp Rates of MMD Empirical Estimation with Power Kernels

Receipt and verification

First computed	2026-05-18T03:11:23.510988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8333278f1993232fa77ab02438cc043538c37bfa7c6cdff1ffc755413cbd9d92

Aliases

arxiv: 1310.1120 · arxiv_version: 1310.1120v1 · doi: 10.48550/arxiv.1310.1120 · pith_short_12: QMZSPDYZSMRS · pith_short_16: QMZSPDYZSMRS7J32 · pith_short_8: QMZSPDYZ

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/QMZSPDYZSMRS7J32WASDRTAEGU \
  | 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: 8333278f1993232fa77ab02438cc043538c37bfa7c6cdff1ffc755413cbd9d92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2e298ef8913cdb073010021ced60743103a57ea3e66044dfe04cbf9c7e5caf3",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-10-03T21:18:05Z",
    "title_canon_sha256": "cd1aa8b47e5a85e0d6b2063f6c0862581e1f15d7be7f13f8590c3e0de2cc4a68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1120",
    "kind": "arxiv",
    "version": 1
  }
}