Pith Number

pith:PMEOBARZ

pith:2025:PMEOBARZCUJVGTXCUQCYUS3QYK

not attested not anchored not stored refs pending

Convergence Rate of the Solution of Multi-marginal Schrodinger Bridge Problem with Marginal Constraints from SDEs

Geoffrey Schiebinger, Rentian Yao, Young--Heon Kim

arxiv:2507.09151 v1 · 2025-07-12 · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMEOBARZCUJVGTXCUQCYUS3QYK}

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	2026-07-05T11:36:04.529666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b08e082391513534ee2a4058a4b70c2b09fd7a37482abe6a8e8c538fe46ca14

Aliases

arxiv: 2507.09151 · arxiv_version: 2507.09151v1 · doi: 10.48550/arxiv.2507.09151 · pith_short_12: PMEOBARZCUJV · pith_short_16: PMEOBARZCUJVGTXC · pith_short_8: PMEOBARZ

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/PMEOBARZCUJVGTXCUQCYUS3QYK \
  | 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: 7b08e082391513534ee2a4058a4b70c2b09fd7a37482abe6a8e8c538fe46ca14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cafa146c3d6649a699d67ea1854eacb69ac60f16b727836700be249186f933dc",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-07-12T05:54:54Z",
    "title_canon_sha256": "21869cee648e68e7d03ebaea38df2e76bf123073705f565c0e723ccd031c5c09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.09151",
    "kind": "arxiv",
    "version": 1
  }
}