Pith Number

pith:XKHNFWWT

pith:2025:XKHNFWWTYRUN6C6PYFBUQKJDVD

not attested not anchored not stored refs pending

DDEQs: Distributional Deep Equilibrium Models through Wasserstein Gradient Flows

Anna Korba, Cl\'ement Bonet, David Alvarez-Melis, Jonathan Geuter

arxiv:2503.01140 v2 · 2025-03-03 · cs.LG · 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{XKHNFWWTYRUN6C6PYFBUQKJDVD}

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	2026-07-05T10:37:45.962496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba8ed2dad3c468df0bcfc143482923a8dfae390fed1d2fe1f093603681e817e8

Aliases

arxiv: 2503.01140 · arxiv_version: 2503.01140v2 · doi: 10.48550/arxiv.2503.01140 · pith_short_12: XKHNFWWTYRUN · pith_short_16: XKHNFWWTYRUN6C6P · pith_short_8: XKHNFWWT

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/XKHNFWWTYRUN6C6PYFBUQKJDVD \
  | 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: ba8ed2dad3c468df0bcfc143482923a8dfae390fed1d2fe1f093603681e817e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f817188e4f9c80b87489f0bdb3bd7cfcaadbf1943ad9c9941b3fe8e3d2983df",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-03-03T03:48:14Z",
    "title_canon_sha256": "1ec80fea3ee8fe445736d0b094b0a0453b6823d564bffb16608b30c7e609bfde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.01140",
    "kind": "arxiv",
    "version": 2
  }
}