Pith Number

pith:OUTCSWCO

pith:2026:OUTCSWCON2JAOCS425E63DRCX3

not attested not anchored not stored refs pending

Rectified Schr\"odinger Bridge Matching for Few-Step Visual Navigation

Junhui Li, Rui Ma, Tieru Wu, Weiguang Zhao, Wenjian Zhang, Wuyang Luan

A single velocity network works across all regularization strengths in Schrödinger Bridge policies, enabling 3-step visual navigation at 92% success.

arxiv:2604.05673 v3 · 2026-04-07 · cs.RO · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OUTCSWCON2JAOCS425E63DRCX3}

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.

Claims

C1strongest claim

We prove two key results: (1) the conditional velocity field's functional form is invariant across the entire ε-spectrum (Velocity Structure Invariance), enabling a single network to serve all regularization strengths; and (2) reducing ε linearly decreases the conditional velocity variance, enabling more stable coarse-step ODE integration. Empirically, RSBM achieves over 94% cosine similarity and 92% success rate in merely 3 integration steps -- without distillation or multi-stage training.

C2weakest assumption

The assumption that a learned conditional prior reliably shortens transport distance and that the velocity structure invariance holds in practice for high-dimensional visual navigation observations without requiring additional training or post-hoc adjustments.

C3one line summary

RSBM exploits velocity field invariance across regularization levels to achieve over 94% cosine similarity and 92% success in visual navigation using only 3 integration steps.

Formal links

3 machine-checked theorem links

Receipt and verification

First computed	2026-05-28T01:04:39.606923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

752629584e6e92070a5cd749ed8e22becc6622a2bd322f48311c8e50137efe0f

Aliases

arxiv: 2604.05673 · arxiv_version: 2604.05673v3 · doi: 10.48550/arxiv.2604.05673 · pith_short_12: OUTCSWCON2JA · pith_short_16: OUTCSWCON2JAOCS4 · pith_short_8: OUTCSWCO

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/OUTCSWCON2JAOCS425E63DRCX3 \
  | 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: 752629584e6e92070a5cd749ed8e22becc6622a2bd322f48311c8e50137efe0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4cf78ef8e575e37671321ce4d9a29d4948158b0c93ac59183138b9017001db7",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.RO",
    "submitted_at": "2026-04-07T10:22:27Z",
    "title_canon_sha256": "f43c62101eeaa0b12ffb0f20e8b74f47c74a899245a0b2b51915ae9be908fcfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.05673",
    "kind": "arxiv",
    "version": 3
  }
}