Pith Number

pith:JDYIQCW6

pith:2015:JDYIQCW6KKECYJK2MYWLLIHTFI

not attested not anchored not stored refs pending

Optimal Entropy-Transport problems and a new Hellinger-Kantorovich distance between positive measures

Alexander Mielke, Giuseppe Savar\'e, Matthias Liero

arxiv:1508.07941 v2 · 2015-08-31 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JDYIQCW6KKECYJK2MYWLLIHTFI}

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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

Weighted quantization using MMD: From mean field to mean shift via gradient flows

Receipt and verification

First computed	2026-05-18T00:03:26.497392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48f0880ade52882c255a662cb5a0f32a0a4ee8e0efb64b956bdbe55dd86d2b02

Aliases

arxiv: 1508.07941 · arxiv_version: 1508.07941v2 · doi: 10.48550/arxiv.1508.07941 · pith_short_12: JDYIQCW6KKEC · pith_short_16: JDYIQCW6KKECYJK2 · pith_short_8: JDYIQCW6

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/JDYIQCW6KKECYJK2MYWLLIHTFI \
  | 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: 48f0880ade52882c255a662cb5a0f32a0a4ee8e0efb64b956bdbe55dd86d2b02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e77b48baa38bb46f24ed56ba714f5470f3b95b3800f83885fecb6e812f6f4af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-08-31T18:17:41Z",
    "title_canon_sha256": "9a3515a8db41dbbc9ecae156e087ae819f2a76042d5e7254eb0e5f8d3abad016"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07941",
    "kind": "arxiv",
    "version": 2
  }
}