Pith Number

pith:VHN5ME42

pith:2026:VHN5ME42QM24BRXOXVIH6ZTY4S

not attested not anchored not stored refs pending

Bridging Schr\"odinger and Bass: A Semimartingale Optimal Transport Problem with Diffusion Control

Gr\'egoire Loeper, Huy\^en Pham, Nizar Touzi, Othmane Mazhar, Pierre Henry-Labordere

arxiv:2603.27712 v2 · 2026-03-29 · math.PR · 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{VHN5ME42QM24BRXOXVIH6ZTY4S}

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.

Cited by

1 paper in Pith

SBBTS: A Unified Schr\"odinger-Bass Framework for Synthetic Financial Time Series

Receipt and verification

First computed	2026-06-02T01:03:46.117600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9dbd6139a8335c0c6eebd507f6678e4a404a4e09726c0920245f519b6004547

Aliases

arxiv: 2603.27712 · arxiv_version: 2603.27712v2 · doi: 10.48550/arxiv.2603.27712 · pith_short_12: VHN5ME42QM24 · pith_short_16: VHN5ME42QM24BRXO · pith_short_8: VHN5ME42

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/VHN5ME42QM24BRXOXVIH6ZTY4S \
  | 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: a9dbd6139a8335c0c6eebd507f6678e4a404a4e09726c0920245f519b6004547

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e352d6695070b03b664fa76198203e2ac92296338fcaba9cfdfa54e63e30c5e7",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-03-29T14:33:22Z",
    "title_canon_sha256": "09d64f1753ba4f2945a5538381b3abda1a71ca7395e96c1e0363df9f9f14fd5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.27712",
    "kind": "arxiv",
    "version": 2
  }
}