Pith Number

pith:DKXPQSCX

pith:2026:DKXPQSCXXC2LENO7KRNMRTCWG4

not attested not anchored not stored refs pending

From Saddle Points Toward Global Minima: A Newton-Type Method on Wasserstein Space

Razvan-Andrei Lascu, Taiji Suzuki

arxiv:2605.17963 v1 · 2026-05-18 · math.OC · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DKXPQSCXXC2LENO7KRNMRTCWG4}

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	2026-05-20T00:05:08.376840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1aaef84857b8b4b235df545ac8cc5637157cb89699f00615db69977aef1475ac

Aliases

arxiv: 2605.17963 · arxiv_version: 2605.17963v1 · doi: 10.48550/arxiv.2605.17963 · pith_short_12: DKXPQSCXXC2L · pith_short_16: DKXPQSCXXC2LENO7 · pith_short_8: DKXPQSCX

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/DKXPQSCXXC2LENO7KRNMRTCWG4 \
  | 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: 1aaef84857b8b4b235df545ac8cc5637157cb89699f00615db69977aef1475ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6397c3cfc59ecffe8b1ae3db399d6635007e2e0e7dc6ac75c9d6aecb1accf3bd",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-18T07:18:22Z",
    "title_canon_sha256": "8b1c4f2eac1b5065336e3e56775464af21017eae4bbc8ee4dac7e7072b4edab5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17963",
    "kind": "arxiv",
    "version": 1
  }
}