Pith Number

pith:HO2RKG43

pith:2025:HO2RKG43OULBNJDN37C2X6GONG

not attested not anchored not stored refs pending

On the Wasserstein alignment problem

Bodhisattva Sen, Soumik Pal, Ting-Kam Leonard Wong

arxiv:2503.06838 v1 · 2025-03-10 · math.PR · 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{HO2RKG43OULBNJDN37C2X6GONG}

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

Shape-constrained density estimation with Wasserstein projection

Receipt and verification

First computed	2026-07-05T10:27:43.946901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bb5151b9b751616a46ddfc5abf8ce699e07463ffe1736e4ca1e1decc5bea067

Aliases

arxiv: 2503.06838 · arxiv_version: 2503.06838v1 · doi: 10.48550/arxiv.2503.06838 · pith_short_12: HO2RKG43OULB · pith_short_16: HO2RKG43OULBNJDN · pith_short_8: HO2RKG43

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/HO2RKG43OULBNJDN37C2X6GONG \
  | 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: 3bb5151b9b751616a46ddfc5abf8ce699e07463ffe1736e4ca1e1decc5bea067

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa4101861b9b6810f5c69508a8d8182db16675f332a663214f2aeda65cc8fc64",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-03-10T01:56:45Z",
    "title_canon_sha256": "a4adee2a01db35fb81e62a0ef6dce8d3a974ba02f058487aa6d632fde13cd061"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.06838",
    "kind": "arxiv",
    "version": 1
  }
}