Pith Number

pith:JKJV3ETZ

pith:2024:JKJV3ETZNX5HEUOIQP6RFE34MM

not attested not anchored not stored refs pending

Schr\"{o}dinger Bridge with Quadratic State Cost is Exactly Solvable

Abhishek Halder, Alexis M.H. Teter, Wenqing Wang

arxiv:2406.00503 v4 · 2024-06-01 · math.OC · cs.LG · cs.SY · eess.SY · math-ph · math.MP · 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{JKJV3ETZNX5HEUOIQP6RFE34MM}

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

Markov Kernels, Distances and Optimal Control: A Parable of Linear Quadratic Non-Gaussian Distribution Steering

Receipt and verification

First computed	2026-07-05T09:27:01.547104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a935d92796dfa7251c883fd12937c6312a0a9ec882ee149f01692d845838a05

Aliases

arxiv: 2406.00503 · arxiv_version: 2406.00503v4 · doi: 10.48550/arxiv.2406.00503 · pith_short_12: JKJV3ETZNX5H · pith_short_16: JKJV3ETZNX5HEUOI · pith_short_8: JKJV3ETZ

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/JKJV3ETZNX5HEUOIQP6RFE34MM \
  | 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: 4a935d92796dfa7251c883fd12937c6312a0a9ec882ee149f01692d845838a05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e920f72d93c765f7822ec31ea28e8143a19c038484724e96b56ce624d7251b8",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.SY",
      "eess.SY",
      "math-ph",
      "math.MP",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-06-01T17:22:00Z",
    "title_canon_sha256": "f9bbafb454c57752d0548ca8e68d145e0bcff46d3ad1522b2299a3e14b6d37fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.00503",
    "kind": "arxiv",
    "version": 4
  }
}