Pith Number

pith:KV7GBAQ3

pith:2025:KV7GBAQ3SU6LXXP63AA7LTHJLW

not attested not anchored not stored refs pending

Convergence of drift-diffusion PDEs arising as Wasserstein gradient flows of convex functions

L\'ena\"ic Chizat, Maria Colombo, Xavier Fern\'andez-Real

arxiv:2507.12385 v1 · 2025-07-16 · math.OC · math.AP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KV7GBAQ3SU6LXXP63AA7LTHJLW}

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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

2 papers in Pith

Born Discrete, Made Smooth: Variational Formulation of Shallow Neural Networks

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

Receipt and verification

First computed	2026-07-05T11:38:19.473988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

557e60821b953cbbddfed801f5cce95da61219ceee56b95b9d59ebd12b9c0290

Aliases

arxiv: 2507.12385 · arxiv_version: 2507.12385v1 · doi: 10.48550/arxiv.2507.12385 · pith_short_12: KV7GBAQ3SU6L · pith_short_16: KV7GBAQ3SU6LXXP6 · pith_short_8: KV7GBAQ3

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/KV7GBAQ3SU6LXXP63AA7LTHJLW \
  | 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: 557e60821b953cbbddfed801f5cce95da61219ceee56b95b9d59ebd12b9c0290

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ebf85bc74b9cc6a7ade8be97f04488cdb0966aaa22b1c53f9ee7a13f78969e8",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-07-16T16:31:40Z",
    "title_canon_sha256": "b7d025567e949b756a8bedcf8a878458b0647e61025e7cd46861c5f2f302a7f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.12385",
    "kind": "arxiv",
    "version": 1
  }
}