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Paper Citation Record · LEDGER

EcoTransformer: Attention without Multiplication

As of 16 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=sha256:8c8e5e6917ae9887ed2a5b58143c975876502fd27c6d66fc4c48ee095f8284d9

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=sha256:154273572476b96dae035ec7d5231f49d572e17d0c8ead4f7d449b3509415187

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=sha256:1511f7ba24aa51b1c25b217738db247e9dc4a5e059466dca5f44466c64c2a4ae

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:e3d8828fa39d36f984917c808130b23da68edf0c55b3fd99ab07bf252960403e

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=sha256:986db5455466fba50a9a4b78dd9eb91ff5a2790c838059dde584b6ef399ce8ab

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=sha256:9f0dd8a2d911452b1b4717f0837a2dc4dc27a9cfd784d933134ff9a646c1c03a

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:a59a107d5d495140af1390ce5292fa80c473d94dd64098b09b4e45861690b7e5

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:edf729fc4e9314f0ac10dcdae97e21d4aa042affd6bb531fc262b59717fa6c20

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=sha256:1994dcc35e57c7b4c5a4d59ede1b2384381dc928749f272da6435ad6e5792acc

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:bb989fe06bbac60f74236673427684e66a0dd7ec9aee7a0e337538053db46bf9

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=sha256:5fe4449882b5fa7c03085627cb8e138140c5464c0982766dda1e01409a3688bc

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=sha256:7cd144eb1177b1f15c22a20bbd8a1d9886686cccae7fe4e832b4cc8cc5d12a91

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:f84c152c38777620b0108d6a7ac0dff21ca5cdcab4699a1b59dff00ad04ba220

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:c753fddae317739d1a982ae06265a4e3ac6819d229addd08d14e22f5e4912e0f

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=sha256:6faf299eb643d1ad8712e3d1d2115df563e0dfa4b6a9bb304de4292b6eb417ba

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:c8a6231c0108f1775ddc0ee198c4f27b742dc13e699a0a59840a224d062befac

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=sha256:9accbf32a46eae40840c75df86fcfacc07c97d18ed2df6c618bf85aec8458d75

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:b76c5e56f64b3810ea2ac24e7cc85c35052b73de230a6b7174ae1e69e4980781

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:bcf8e29febc52f0323f47c72c1db4cd5231ddc0cd4efec0d74a7f491e4ffe5fd

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:b21d9b13170175f4e66ec31c2e04cfec67f2d882fbc083e53fb1134a3363620c

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=sha256:802ee618401e2ccaa2a98a4185b58081b36b707af12ea77cd1c732afd9294d66