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Paper Citation Record · LEDGER

Riemannian Attention Mechanisms for Transformers: A Theoretical Framework and Architecture Design

As of 16 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2608.01283.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2608.01283 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:17:19.106114Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

15 of 15 outbound references displayed

  • verified exact0
  • verified fuzzy6
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation de05f137-4c00-4938-b49d-47a0d912b46d · outbound

This paper cites an unresolved cited work.

Riemannian Attention Mechanisms for Transformers: A Theoretical Framework and Architecture Design Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:17:19.388963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T15:17:19.054651Z digest=sha256:f9805c9fefc4dc82ea95c01cdcb7e018b3bd2a396678b0299270d1547468f8c9

Observation e1f39a12-342c-43f8-bbb7-a6cabb10a260 · outbound

This paper cites He et al.

Riemannian Attention Mechanisms for Transformers: A Theoretical Framework and Architecture Design He et al

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-15T15:17:19.058731Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:17:19.058731Z digest=sha256:4670661ef2d50311485142a0585132723c6e179490c9039f20a7a7543a2d5626

Observation 148c5423-6098-4cc1-b5c1-4b60b73e7caa · outbound

This paper cites Dong, J.-B.

Riemannian Attention Mechanisms for Transformers: A Theoretical Framework and Architecture Design Dong, J.-B

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:17:19.378233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T15:17:19.062496Z digest=sha256:0714eb75316fc9f4b42b9e288dfa7c3a0208cd30f4beeb6b0aab5a59a7e9821d

Observation 54b6200f-7fff-4229-b74a-989a1aab99d4 · outbound

This paper cites Nickel and D.

Riemannian Attention Mechanisms for Transformers: A Theoretical Framework and Architecture Design Nickel and D

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:17:19.366943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T15:17:19.065879Z digest=sha256:3439763894fc8115b681a5bb964b483908ae5738cb70dfc2c29543fe2f01a386

Observation a2b7f2f6-cbbe-4704-a15b-b5fb0fc438de · outbound

This paper cites Vaswani et al.

Riemannian Attention Mechanisms for Transformers: A Theoretical Framework and Architecture Design Vaswani et al

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:17:19.354146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T15:17:19.069926Z digest=sha256:d6205c333f4d1b5aad4e14997cae1ccba8e9dd67273fe7189c6b686b5e2e1e52

Observation 412e0851-0992-4e8b-a8d7-0298d384c304 · outbound

This paper cites an unresolved cited work.

Riemannian Attention Mechanisms for Transformers: A Theoretical Framework and Architecture Design Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:17:19.340907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T15:17:19.073585Z digest=sha256:858332127f8dabf5ddd6be3832fc1159ed8405b02783eb66ff58bb33f41ab76e

Observation 76118812-7868-4e7b-a917-41af8d402e16 · outbound

This paper cites Houlsby et al.

Riemannian Attention Mechanisms for Transformers: A Theoretical Framework and Architecture Design Houlsby et al

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:17:19.328298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T15:17:19.077333Z digest=sha256:20b4d6e9411f96899b3fb9de9b330fdc39b73471c71187f483d91fd6f1c5789e

Observation 4f6fb211-2e5a-41e1-af4b-0154dbe75bc6 · outbound

This paper cites Bonnabel.

Riemannian Attention Mechanisms for Transformers: A Theoretical Framework and Architecture Design Bonnabel

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:17:19.316953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T15:17:19.080534Z digest=sha256:362886c49435e947ae45b9ddadb9e347db65db39f14c02f79572656be68c1dab

Observation f6777314-9007-4f91-8e7b-9b7fb4b07a1b · outbound

This paper cites an unresolved cited work.

Riemannian Attention Mechanisms for Transformers: A Theoretical Framework and Architecture Design Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:17:19.306761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T15:17:19.083882Z digest=sha256:79c3ae0173547bd4bb69b2c74e7b9f5b868cfe85c9ade3492417d7b67f42726b

Observation b5361dcd-4747-486a-a9ea-414ba54a8468 · outbound

This paper cites an unresolved cited work.

Riemannian Attention Mechanisms for Transformers: A Theoretical Framework and Architecture Design Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-15T15:17:19.087223Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:17:19.087223Z digest=sha256:3681b6d813ed2b8cc2ccad4297aa994b1dfb9f2e1d81f496f21e054f5d73b760

Observation 3c447d0a-ef28-49d9-a89e-ef4bc2413d55 · outbound

This paper cites mHC: Manifold-Constrained Hyper-Connections.

Riemannian Attention Mechanisms for Transformers: A Theoretical Framework and Architecture Design mHC: Manifold-Constrained Hyper-Connections

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-15T15:17:19.090720Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:17:19.090720Z digest=sha256:cd12c29f0c611b3bb35923715aa95575133cb6ab6387eb9388f2e1ba97cab958

Observation ef149f53-d1ce-486a-9f0e-0302d5d79b09 · outbound

This paper cites Press, N.

Riemannian Attention Mechanisms for Transformers: A Theoretical Framework and Architecture Design Press, N

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:17:19.295141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T15:17:19.094625Z digest=sha256:b9adf1036172e3476c9c18bbada89d2c650e7d683be910dd55830e020ed3d535

Observation a6bdd05d-0af0-4e4d-a39b-27bcf1e69ae6 · outbound

This paper cites an unresolved cited work.

Riemannian Attention Mechanisms for Transformers: A Theoretical Framework and Architecture Design Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:17:19.283604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T15:17:19.098518Z digest=sha256:dd9de246f2a801d23a5b042febe3037f806580c8f4f0845eb7ff4e99778cfe3c

Observation 2de8ccf8-f805-40c7-be44-7c7313a6c1a2 · outbound

This paper cites Do Transformer Modifications Transfer Across Implementations and Applications?.

Riemannian Attention Mechanisms for Transformers: A Theoretical Framework and Architecture Design Do Transformer Modifications Transfer Across Implementations and Applications?

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-15T15:17:19.102088Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:17:19.102088Z digest=sha256:a3754ef06030a96b898f5c9135172a3b5043706865f6a3d864b2268cb38483e9

Observation 40d18a9b-54e1-44b4-a560-989b621d6c7b · outbound

This paper cites ReZero is All You Need: Fast Convergence at Large Depth.

Riemannian Attention Mechanisms for Transformers: A Theoretical Framework and Architecture Design ReZero is All You Need: Fast Convergence at Large Depth

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-15T15:17:19.106114Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:17:19.106114Z digest=sha256:15088605850d4bdafef7e165c20b361e100364c98a36c6f36eb65dfdbc648557

Pith citing papers

No inbound Pith citation observations are available.