Pith Number

pith:4AZOSLSF

pith:2018:4AZOSLSFR66LG525LJ4CYHMKR5

not attested not anchored not stored refs pending

Uncoupled isotonic regression via minimum Wasserstein deconvolution

Jonathan Weed, Philippe Rigollet

arxiv:1806.10648 v2 · 2018-06-27 · math.ST · stat.ML · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4AZOSLSFR66LG525LJ4CYHMKR5}

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.

Cited by

1 paper in Pith

Optimal transport mapping via input convex neural networks

Receipt and verification

First computed	2026-05-17T23:50:38.599263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e032e92e458fbcb3775d5a782c1d8a8f6441f7247e08ebdaab486a0045b47aaf

Aliases

arxiv: 1806.10648 · arxiv_version: 1806.10648v2 · doi: 10.48550/arxiv.1806.10648 · pith_short_12: 4AZOSLSFR66L · pith_short_16: 4AZOSLSFR66LG525 · pith_short_8: 4AZOSLSF

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/4AZOSLSFR66LG525LJ4CYHMKR5 \
  | 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: e032e92e458fbcb3775d5a782c1d8a8f6441f7247e08ebdaab486a0045b47aaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a78c60644c52e84656ae442d005d14a450951b79df33dddb0b807913fa5c89d2",
    "cross_cats_sorted": [
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2018-06-27T19:10:56Z",
    "title_canon_sha256": "d803a3b35cd6da232aa4d01c6964fde9674d5cee78586d1be3f1250544040254"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.10648",
    "kind": "arxiv",
    "version": 2
  }
}