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Paper Citation Record · LEDGER

EcoTransformer: Attention without Multiplication

As of 17 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 2 inbound Pith citation observations for arXiv:2507.20096.

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

pith.paper-citation-record.v1
2507.20096 v2

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:57:01.639734Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:31:33.532320Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T07:59:40.303940Z

Reference resolution

19 of 19 outbound references displayed

  • verified exact0
  • verified fuzzy3
  • unresolved16
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 395247a6-18ab-428f-a5ee-6b894c450ed2 · outbound

This paper cites Neural Machine Translation by Jointly Learning to Align and Translate.

EcoTransformer: Attention without Multiplication Neural Machine Translation by Jointly Learning to Align and Translate

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-15T17:57:01.505273Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T17:57:01.505273Z digest=sha256:55ced4302dfb012cdf105ab9168a6ab32271f50e0906b90e598d154bb05febcd

Observation 96cf1bd2-fd26-4b50-9aeb-a5bff0cc4df9 · outbound

This paper cites Longformer: The Long-Document Transformer.

EcoTransformer: Attention without Multiplication Longformer: The Long-Document Transformer

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-15T17:57:01.514280Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T17:57:01.514280Z digest=sha256:b2de5b278e93a711029f5179d07c657753a1b39274abccba1ad8352ba6011d75

Observation d06f16d0-b6d6-4aff-9fec-e92d4722ed81 · outbound

This paper cites IrEne: Interpretable Energy Prediction for Transformers.

EcoTransformer: Attention without Multiplication IrEne: Interpretable Energy Prediction for Transformers

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-15T17:57:01.522401Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T17:57:01.522401Z digest=sha256:d82fc296c42d0de8f0f62a90479dd94e9e5a7be6f26c9d19f289b89d0996a6db

Observation c15a82d4-1bc5-436a-ace0-78ba6a6219bf · outbound

This paper cites Generating Long Sequences with Sparse Transformers.

EcoTransformer: Attention without Multiplication Generating Long Sequences with Sparse Transformers

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-15T17:57:01.529689Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T17:57:01.529689Z digest=sha256:0d8210dcbca531e335e8debe80acef4e3e718a67987e4e78e0feefb8cd9408a6

Observation 63b81c32-47f3-4c2c-9993-a4a3409ae7e7 · outbound

This paper cites Q., Mohiuddin, A., Kaiser, L., Belanger, D., Colwell, L., and Weller, A.

EcoTransformer: Attention without Multiplication Q., Mohiuddin, A., Kaiser, L., Belanger, D., Colwell, L., and Weller, A

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:57:02.124667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T17:57:01.537324Z digest=sha256:ce3ac1d6325af5aa9f1438d75d6a1fc48909f477e4eb870b888e7dbb82480802

Observation d6bbdb04-8c12-494b-8ddd-7f24c98dfa12 · outbound

This paper cites FlashAttention-2: Faster Attention with Better Parallelism and Work Partitioning.

EcoTransformer: Attention without Multiplication FlashAttention-2: Faster Attention with Better Parallelism and Work Partitioning

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-15T17:57:01.548148Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T17:57:01.548148Z digest=sha256:054abaf1cd9319bedf1c81f5da9702b0b2f7d1f4f956abeafb8c84cc7dcc9e47

Observation b69f1dc5-53a0-4e59-ab36-3863a4ee7e40 · outbound

This paper cites Y., Ermon, S., Rudra, A., and R \'e , C.

EcoTransformer: Attention without Multiplication Y., Ermon, S., Rudra, A., and R \'e , C

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:57:02.099570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T17:57:01.554789Z digest=sha256:8c9179d3b75e5ca7e23dfa91ba97805c68f6e8543b941296157c1eaf92e7894d

Observation e4e2bc4f-6c29-486e-8e64-e24f303fba76 · outbound

This paper cites an unresolved cited work.

EcoTransformer: Attention without Multiplication Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:57:02.076349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T17:57:01.562112Z digest=sha256:d6cc293f939cf629a902903e2c4cfb5c789e7eeea6df1cdbec3797538be04864

Observation d988c167-b691-4a18-b9ac-2a203f7dfca4 · outbound

This paper cites Mamba: Linear-Time Sequence Modeling with Selective State Spaces.

EcoTransformer: Attention without Multiplication Mamba: Linear-Time Sequence Modeling with Selective State Spaces

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-15T17:57:01.567599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T17:57:01.567599Z digest=sha256:6d1179fdedcc630d165e7c05cda53de6cb60c0128f2ec57916d7bfbd49f472ab

Observation cb89d7e1-c1ce-4e2d-831a-0cdb893bc622 · outbound

This paper cites an unresolved cited work.

EcoTransformer: Attention without Multiplication Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:57:02.051358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T17:57:01.574464Z digest=sha256:45fe2fc13f562a88b0bb3c6bbd7685137856f05747ba3b4ced25029493bf5e67

Observation ff53542d-e59d-4980-9845-a1cd057ba573 · outbound

This paper cites Addition is All You Need for Energy-efficient Language Models.

EcoTransformer: Attention without Multiplication Addition is All You Need for Energy-efficient Language Models

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-15T17:57:01.579814Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T17:57:01.579814Z digest=sha256:0199277f619b91203e545a5555fb93b2dda1bdac7e548923482aa9875039e140

Observation ef545822-353a-4081-8669-b716680512f4 · outbound

This paper cites Effective Approaches to Attention-based Neural Machine Translation.

EcoTransformer: Attention without Multiplication Effective Approaches to Attention-based Neural Machine Translation

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-15T17:57:01.586208Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T17:57:01.586208Z digest=sha256:39efd2cf96b0c874a7a351e3e4b4d1cba378ab1104c896a1ef2c47af8b60b699

Observation c2380664-c542-4c98-8aff-aac3b3793f52 · outbound

This paper cites Y., Dao, T., Baccus, S., Bengio, Y., Ermon, S., and R \'e , C.

EcoTransformer: Attention without Multiplication Y., Dao, T., Baccus, S., Bengio, Y., Ermon, S., and R \'e , C

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:57:02.024126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T17:57:01.594395Z digest=sha256:bd907c6fbf29188e04fd516fed0594f51148ac69fadd10bac2f5a681047bc56d

Observation a5e756b1-a8d7-4b9d-bc43-dfe16b440ccd · outbound

This paper cites an unresolved cited work.

EcoTransformer: Attention without Multiplication Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:57:02.000523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T17:57:01.600361Z digest=sha256:040ed697090ae7d7224b45daad5ef152ab2b162be58ed87ad718a8ed46114839

Observation e1251fdd-43cb-41b4-896f-99dd4e2cec9f · outbound

This paper cites an unresolved cited work.

EcoTransformer: Attention without Multiplication Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:57:01.978351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T17:57:01.615221Z digest=sha256:f1cd961999344a4cb1067391d2d09207526c59c8286eeb6bf50b883b99dbd3ae

Observation 86f35ed5-716d-403b-8428-ffa967981cad · outbound

This paper cites an unresolved cited work.

EcoTransformer: Attention without Multiplication Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:57:01.959582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T17:57:01.621099Z digest=sha256:869d6b8438b4551b9af2dea587f137c0750b0e0e55418782dd503d438f3210ea

Observation 2465e034-d3f4-4ed2-8921-b92e74aff332 · outbound

This paper cites N., Kaiser, ., and Polosukhin, I.

EcoTransformer: Attention without Multiplication N., Kaiser, ., and Polosukhin, I

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-15T17:57:01.627354Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T17:57:01.627354Z digest=sha256:8f7700ede024e1749d3538237eb69f4a866d61993c4ba9e76f2c0e9cf8fc035b

Observation 5db8cbf8-9234-4ecb-8cd1-5f564bf88df9 · outbound

This paper cites Linformer: Self-Attention with Linear Complexity.

EcoTransformer: Attention without Multiplication Linformer: Self-Attention with Linear Complexity

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-15T17:57:01.633516Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T17:57:01.633516Z digest=sha256:da15086e6e336b9267f75e17c7f9c2c1e985a955cd7041f0e540042e62fc8129

Observation 1f2486bd-afb3-4132-a45c-d6c842800829 · outbound

This paper cites an unresolved cited work.

EcoTransformer: Attention without Multiplication Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:57:01.925726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T17:57:01.639734Z digest=sha256:f45d27db3c055de371e647f8842b5c24421d7f32beb00e5ec2cdd658833455ca

Pith citing papers

Observation 71ab50e0-f908-4dcd-be9e-a63268459d94 · inbound

Keyless Attention: Value-Space Routing and Value-Only Caching for Efficient Transformers cites this paper.

Keyless Attention: Value-Space Routing and Value-Only Caching for Efficient Transformers EcoTransformer: Attention without Multiplication

Reference 72

Resolution
verified exact
arxiv_id, observed 2026-07-04T07:59:40.305177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-06-26T12:20:42.292943Z digest=sha256:df77cba1711bed377b47489ba3e67d88fd8256f2d92ae99f085d5b92125ceb7c

Observation f528112e-3e57-4d2a-964e-65547411d971 · inbound

Lapis: Laplacian Spiking Attention via First-Spike Timing and Membrane Leakage cites this paper.

Lapis: Laplacian Spiking Attention via First-Spike Timing and Membrane Leakage EcoTransformer: Attention without Multiplication

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-16T00:31:33.532320Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:31:33.532320Z digest=sha256:06780d8b1ddca80ddd7e3416a92ec067c75cc1bc8232e4b57f473ce4d6df5db5