Pith Number

pith:2T6FVCPQ

pith:2024:2T6FVCPQ4BHDTXQGNBMQCFDSNJ

not attested not anchored not stored refs pending

Understanding the training of infinitely deep and wide ResNets with Conditional Optimal Transport

ENS-PSL), Fran\c{c}ois-Xavier Vialard (LIGM), Gabriel Peyr\'e (CNRS, Rapha\"el Barboni (ENS-PSL)

arxiv:2403.12887 v2 · 2024-03-19 · cs.LG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2T6FVCPQ4BHDTXQGNBMQCFDSNJ}

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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

Flow Matching: Markov Kernels, Stochastic Processes and Transport Plans

Receipt and verification

First computed	2026-07-05T11:40:29.996654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4fc5a89f0e04e39de0668590114726a4779107fd6a763ab055707095a972c9c

Aliases

arxiv: 2403.12887 · arxiv_version: 2403.12887v2 · doi: 10.48550/arxiv.2403.12887 · pith_short_12: 2T6FVCPQ4BHD · pith_short_16: 2T6FVCPQ4BHDTXQG · pith_short_8: 2T6FVCPQ

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/2T6FVCPQ4BHDTXQGNBMQCFDSNJ \
  | 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: d4fc5a89f0e04e39de0668590114726a4779107fd6a763ab055707095a972c9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f258ce5f4198f52d1b60f4192bd26cd933b43c68ad836a0ceb2fc7d915df2cb1",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-03-19T16:34:31Z",
    "title_canon_sha256": "3c8ebc7d80585546118e539052809e34ab95e019c8297fda7c7dfe9f624a41d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.12887",
    "kind": "arxiv",
    "version": 2
  }
}