Pith Number

pith:4OMN6YVD

pith:2025:4OMN6YVDTZRQ5Y5F72QEFMYMYK

not attested not anchored not stored refs pending

Convex Physics Informed Neural Networks for the Monge-Amp\`ere Optimal Transport Problem

Alexandre Caboussat, Anna Peruso

arxiv:2501.10162 v2 · 2025-01-17 · math.NA · cs.LG · 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{4OMN6YVDTZRQ5Y5F72QEFMYMYK}

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	2026-07-05T11:54:43.599939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e398df62a39e630ee3a5fea042b30cc29aef7275e18cc7292ec9ba139bf23553

Aliases

arxiv: 2501.10162 · arxiv_version: 2501.10162v2 · doi: 10.48550/arxiv.2501.10162 · pith_short_12: 4OMN6YVDTZRQ · pith_short_16: 4OMN6YVDTZRQ5Y5F · pith_short_8: 4OMN6YVD

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/4OMN6YVDTZRQ5Y5F72QEFMYMYK \
  | 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: e398df62a39e630ee3a5fea042b30cc29aef7275e18cc7292ec9ba139bf23553

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84c7e01b54c8e3f52f814dab076dd39752a2cbc069ef625a75869f6458fdc915",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-01-17T12:51:25Z",
    "title_canon_sha256": "2aad0652174dbd6a08a17dc6e44181f1a89254d33c9b2ba48a8514b6af3bb4a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.10162",
    "kind": "arxiv",
    "version": 2
  }
}