Pith Number

pith:GQZ7AAWV

pith:2025:GQZ7AAWVUZYZ3HXHA42Z4POIXM

not attested not anchored not stored refs pending

Genericity of Polyak-Lojasiewicz Inequalities for Entropic Mean-Field Neural ODEs

Fran\c{c}ois Delarue, Samuel Daudin

arxiv:2507.08486 v1 · 2025-07-11 · math.OC · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GQZ7AAWVUZYZ3HXHA42Z4POIXM}

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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

1 paper in Pith

Constructive conditional normalizing flows

Receipt and verification

First computed	2026-07-05T11:35:40.775939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3433f002d5a6719d9ee707359e3dc8bb3242aa295de457d5e134c2b8db432b9b

Aliases

arxiv: 2507.08486 · arxiv_version: 2507.08486v1 · doi: 10.48550/arxiv.2507.08486 · pith_short_12: GQZ7AAWVUZYZ · pith_short_16: GQZ7AAWVUZYZ3HXH · pith_short_8: GQZ7AAWV

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/GQZ7AAWVUZYZ3HXHA42Z4POIXM \
  | 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: 3433f002d5a6719d9ee707359e3dc8bb3242aa295de457d5e134c2b8db432b9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ca722205e0c9a46ec4c18697d5b0ef389d0c8d33db65288cc332a8359256f3e",
    "cross_cats_sorted": [
      "math.AP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-07-11T11:04:46Z",
    "title_canon_sha256": "f99a5033e1936e5c0ff7e897ad65f19ebc95b5bec855dc40b11a1ca2dded0d4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.08486",
    "kind": "arxiv",
    "version": 1
  }
}