Pith Number

pith:AXIPP6QR

pith:2026:AXIPP6QRGN2PCEU3AQ4WJC74VL

not attested not anchored not stored refs pending

URoPE: Universal Relative Position Embedding across Geometric Spaces

Chensheng Peng, Depu Meng, Masayoshi Tomizuka, Quentin Herau, Wei Zhan, Yichen Xie, Yihan Hu

URoPE extends rotary position embeddings to cross-view and cross-dimensional geometry by sampling and projecting 3D ray points.

arxiv:2604.18747 v2 · 2026-04-20 · cs.CV

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\usepackage{pith}
\pithnumber{AXIPP6QRGN2PCEU3AQ4WJC74VL}

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Record completeness

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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

URoPE is a universal extension of Rotary Position Embedding (RoPE) to cross-view or cross-dimensional geometric spaces... URoPE is a parameter-free and intrinsics-aware relative position embedding that is invariant to the choice of global coordinate systems, while remaining fully compatible with existing RoPE-optimized attention kernels. Experiments show that URoPE consistently improves the performance of transformer-based models across all tasks.

C2weakest assumption

That sampling 3D points along camera rays at a small number of predefined depth anchors and projecting them into the query plane is sufficient to encode the necessary relative geometric relationships for effective cross-view and cross-dimensional reasoning.

C3one line summary

URoPE is a parameter-free relative position embedding for transformers that works across arbitrary geometric spaces by ray sampling and projection, yielding consistent gains on novel view synthesis, 3D detection, tracking, and depth estimation.

Cited by

1 paper in Pith

DPPE: Rethinking Camera-Based Positional Encoding for Scaling Multi-View Transformers

Receipt and verification

First computed	2026-07-01T00:17:11.454292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05d0f7fa113374f1129b0439648bfcaae7b602b1974251a5a0f985d934deea49

Aliases

arxiv: 2604.18747 · arxiv_version: 2604.18747v2 · doi: 10.48550/arxiv.2604.18747 · pith_short_12: AXIPP6QRGN2P · pith_short_16: AXIPP6QRGN2PCEU3 · pith_short_8: AXIPP6QR

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/AXIPP6QRGN2PCEU3AQ4WJC74VL \
  | 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: 05d0f7fa113374f1129b0439648bfcaae7b602b1974251a5a0f985d934deea49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bf1fa8a0642edc119c7bd7028807ec715e2adf6517332ded1da80ea69ebdcd5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CV",
    "submitted_at": "2026-04-20T18:52:03Z",
    "title_canon_sha256": "ac811ee39c2d11d37c8df1fbf1c6b85e316264bd1a6be020ad277916dcc1fa9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.18747",
    "kind": "arxiv",
    "version": 2
  }
}