Pith Number

pith:VQ62ISH5

pith:2025:VQ62ISH5GXBHR6BEHL33QYVQQR

not attested not anchored not stored refs pending

Variable-preconditioned transformed primal-dual method for generalized Wasserstein Gradient Flows

Chaozhen Wei, Dawei Zhan, Jin Zeng, Ruchi Guo

arxiv:2509.15385 v3 · 2025-09-18 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VQ62ISH5GXBHR6BEHL33QYVQQR}

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	2026-06-02T03:04:34.456891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac3da448fd35c278f8243af7b862b0845ab981003c908e5e6533d046b8604922

Aliases

arxiv: 2509.15385 · arxiv_version: 2509.15385v3 · doi: 10.48550/arxiv.2509.15385 · pith_short_12: VQ62ISH5GXBH · pith_short_16: VQ62ISH5GXBHR6BE · pith_short_8: VQ62ISH5

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/VQ62ISH5GXBHR6BEHL33QYVQQR \
  | 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: ac3da448fd35c278f8243af7b862b0845ab981003c908e5e6533d046b8604922

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fabd9ec4aefb9f01a1483f9e7ad9f0e02219031a8d4118e6155683f45f64f4b8",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-09-18T19:50:26Z",
    "title_canon_sha256": "bca5438c2e7a82f487569551de08d5f734175361d66e40a3db5bf63cefd29e06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.15385",
    "kind": "arxiv",
    "version": 3
  }
}