Pith Number

pith:TUNTT374

pith:2026:TUNTT374BOZGHDPLUA3D67ERJ5

not attested not anchored not stored refs pending

Nonlocal Mean Field Schr\"{o}dinger Bridge with Learned Interactions

Daisuke Inoue, Dante Kalise, Mathieu Lauri\`ere

arxiv:2606.04265 v1 · 2026-06-02 · math.OC · cs.LG · cs.NA · math.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{TUNTT374BOZGHDPLUA3D67ERJ5}

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	2026-06-04T01:09:00.946664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d1b39effc0bb2638deba0363f7c914f4318dbc25cc8811a1d36d846aaa20654

Aliases

arxiv: 2606.04265 · arxiv_version: 2606.04265v1 · doi: 10.48550/arxiv.2606.04265 · pith_short_12: TUNTT374BOZG · pith_short_16: TUNTT374BOZGHDPL · pith_short_8: TUNTT374

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/TUNTT374BOZGHDPLUA3D67ERJ5 \
  | 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: 9d1b39effc0bb2638deba0363f7c914f4318dbc25cc8811a1d36d846aaa20654

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5fb0b3a1592ba371a5849a452b26bde86226de9e1ed36e8f9af292d72ea3ab0",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-02T22:30:46Z",
    "title_canon_sha256": "6fd8d4a22bf7edffcd2af8ee9a669d4cab9611b621c4ad56cc6caa01c137ba09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04265",
    "kind": "arxiv",
    "version": 1
  }
}