Pith Number

pith:FF2VF7CE

pith:2026:FF2VF7CE4I5COGADTDJ5WDYGQL

not attested not anchored not stored refs pending

Reflected Schrodinger Bridge Problem over Sub-Riemannian Manifold

Daniel Owusu Adu

arxiv:2607.17904 v1 · 2026-07-20 · 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{FF2VF7CE4I5COGADTDJ5WDYGQL}

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	2026-07-21T02:22:05.828653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

297552fc44e23a27180398d3db0f0682db945d8ead7baae0f8f3962526ca3048

Aliases

arxiv: 2607.17904 · arxiv_version: 2607.17904v1 · doi: 10.48550/arxiv.2607.17904 · pith_short_12: FF2VF7CE4I5C · pith_short_16: FF2VF7CE4I5COGAD · pith_short_8: FF2VF7CE

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/FF2VF7CE4I5COGADTDJ5WDYGQL \
  | 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: 297552fc44e23a27180398d3db0f0682db945d8ead7baae0f8f3962526ca3048

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "377d58aaeaabc25571077db3d26d3dae8f95f84cab73406dd81242cc1e7e8eca",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-20T12:49:17Z",
    "title_canon_sha256": "474a7d327dafafc545c3110f530d379bece2254a5356a86f740f20b9fd87baa5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17904",
    "kind": "arxiv",
    "version": 1
  }
}