Pith Number

pith:KUIORLET

pith:2025:KUIORLETUI5FBDKPUO3WUTZCBA

not attested not anchored not stored refs pending

Optimal Multimarginal Schr\"odinger Bridge: Minimum Spanning Tree over Measure-valued Vertices

Abhishek Halder, Georgiy A. Bondar

arxiv:2509.10626 v1 · 2025-09-12 · cs.LG · cs.AI · math.OC · 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{KUIORLETUI5FBDKPUO3WUTZCBA}

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	2026-07-05T12:11:24.635705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5510e8ac93a23a508d4fa3b76a4f22080b64f4c96758673b00fd9a65da674bc4

Aliases

arxiv: 2509.10626 · arxiv_version: 2509.10626v1 · doi: 10.48550/arxiv.2509.10626 · pith_short_12: KUIORLETUI5F · pith_short_16: KUIORLETUI5FBDKP · pith_short_8: KUIORLET

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/KUIORLETUI5FBDKPUO3WUTZCBA \
  | 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: 5510e8ac93a23a508d4fa3b76a4f22080b64f4c96758673b00fd9a65da674bc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16f88eb9de87020ae80097ee41b56910c9cf6b5838fc99203b252763aec0711f",
    "cross_cats_sorted": [
      "cs.AI",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-09-12T18:15:42Z",
    "title_canon_sha256": "433d0635cface67056c5d3b4e7e3ca717582047a90845173d9503e41e57fcc82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.10626",
    "kind": "arxiv",
    "version": 1
  }
}