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Pith Number

pith:BUZ5JAXH

pith:2024:BUZ5JAXHXYNQLLWWTXK6EV3DXN
not attested not anchored not stored refs pending

Benamou-Brenier Formulation of Optimal Transport for Nonlinear Control Systems on Rd

Karthik Elamvazhuthi

arxiv:2407.16088 v4 · 2024-07-22 · 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{BUZ5JAXHXYNQLLWWTXK6EV3DXN}

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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

4 papers in Pith

From Schrodinger Bridge to Optimal Transport over Sub-Riemannian Manifolds
Flow Matching for Measure Transport and Feedback Stabilization of Control-Affine Systems
From Schrodinger Bridge to Optimal Transport over Sub-Riemannian Manifolds
Optimal paths across potentials on scalar field space
Receipt and verification
First computed 2026-07-05T10:56:33.626475Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0d33d482e7be1b05aed69dd5e25763bb429c0dd6ea785c09f65b385a6a9ca416

Aliases

arxiv: 2407.16088 · arxiv_version: 2407.16088v4 · doi: 10.48550/arxiv.2407.16088 · pith_short_12: BUZ5JAXHXYNQ · pith_short_16: BUZ5JAXHXYNQLLWW · pith_short_8: BUZ5JAXH
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/BUZ5JAXHXYNQLLWWTXK6EV3DXN \
  | 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: 0d33d482e7be1b05aed69dd5e25763bb429c0dd6ea785c09f65b385a6a9ca416
Canonical record JSON 
{
  "metadata": {
    "abstract_canon_sha256": "ce50930d97811aa52c94f74463b4ab23408afd7e47891654dba3c056533f4496",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-07-22T23:14:38Z",
    "title_canon_sha256": "a079425262adfa29ca8a272aa342c6652e4b27a1621bedeb503469894512e79e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.16088",
    "kind": "arxiv",
    "version": 4
  }
}