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Paper Citation Record · LEDGER

Spooky Action at a Distance: Normalization Layers Enable Side-Channel Spatial Communication

As of 10 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2507.04709.

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

pith.paper-citation-record.v1
2507.04709 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:46:08.205879Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

12 of 12 outbound references displayed

  • verified exact1
  • verified fuzzy4
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation eb5ae96c-e6d1-4153-b5b5-157326dbeff4 · outbound

This paper cites Notably, GroupNorm recovers LayerNorm when G = 1 and InstanceNorm when G = C.

Spooky Action at a Distance: Normalization Layers Enable Side-Channel Spatial Communication Notably, GroupNorm recovers LayerNorm when G = 1 and InstanceNorm when G = C

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:46:09.768761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:46:07.626776Z digest=sha256:3f3561eea1499f7f5e4c0bf3a2fa24fe547b549835d983631e86f1796abaf5ab

Observation ef90045f-cb1f-4ae6-b0c1-9fe7a86b256f · outbound

This paper cites localization distance.

Spooky Action at a Distance: Normalization Layers Enable Side-Channel Spatial Communication localization distance

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:46:09.139707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:46:08.042838Z digest=sha256:b194fcbc4cd2e9020953fcbf2ef9ded5d90abc262b3af961c88b338b73013c97

Observation d1b70e44-087d-4d96-92c5-f40f5a10acef · outbound

This paper cites We compare to an identical network without BatchNorm.

Spooky Action at a Distance: Normalization Layers Enable Side-Channel Spatial Communication We compare to an identical network without BatchNorm

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:46:08.949114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:46:08.205879Z digest=sha256:d8b6e4a93f1ed35a11c3203a21cfcde5026f7eb85e35cf19d479a4fbaec6d9cf

Observation 35d2bd05-8edc-4bec-bf7b-4aed1c7b3a4a · outbound

This paper cites Rethinking "Batch" in BatchNorm.

Spooky Action at a Distance: Normalization Layers Enable Side-Channel Spatial Communication Rethinking "Batch" in BatchNorm

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-06T19:46:07.406633Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:46:07.406633Z digest=sha256:35885e7305de43741d0f7e3ea03d5fc511eebdac98e03d40569e581f24b89274

Observation 0f7e7ea5-9381-4227-9a8f-4f0df9b83b25 · outbound

This paper cites Extendable long-horizon planning via hierarchical multiscale diffusion.

Spooky Action at a Distance: Normalization Layers Enable Side-Channel Spatial Communication Extendable long-horizon planning via hierarchical multiscale diffusion

Reference 2016

Resolution
verified exact
raw_fallback, observed 2026-08-06T19:46:08.784122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:46:07.006563Z digest=sha256:c958cb76f06a7dec8f28e7a1920ad75f667da676db3847899abbcb889c123a13

Observation a2d2a740-08f0-413c-9e19-c898188a22b2 · outbound

This paper cites However, it is well-known that BatchNorm performs poorly for small batch sizes (Wu & He, 2018; Wu & Johnson, 2021).

Spooky Action at a Distance: Normalization Layers Enable Side-Channel Spatial Communication However, it is well-known that BatchNorm performs poorly for small batch sizes (Wu & He, 2018; Wu & Johnson, 2021)

Reference 2017

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:46:09.575243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:46:07.792207Z digest=sha256:7f75f3344a16a38920d7722db38bb00a19c545ff186fc1bda7303cf0372f079d

Observation 4435c9c4-d09b-486e-b6db-8d1c242470c9 · outbound

This paper cites U-net: Con- volutional networks for biomedical image segmenta- tion.

Spooky Action at a Distance: Normalization Layers Enable Side-Channel Spatial Communication U-net: Con- volutional networks for biomedical image segmenta- tion

Reference 2018

Resolution
unresolved
no resolver link, observed 2026-08-06T19:46:07.204003Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:46:07.204003Z digest=sha256:a51fa10bafb96688470d9822760cfd445ea3c32a00f0e77c27778563bbf10216

Observation 3f4756f2-4727-45f5-b25e-5fc7f581ba31 · outbound

This paper cites Instance Normalization: The Missing Ingredient for Fast Stylization.

Spooky Action at a Distance: Normalization Layers Enable Side-Channel Spatial Communication Instance Normalization: The Missing Ingredient for Fast Stylization

Reference 2019

Resolution
unresolved
no resolver link, observed 2026-08-06T19:46:07.315509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:46:07.315509Z digest=sha256:a42541bed4392d85fb35ed9b150332baac7267446d76e6e238703b4fd0a54df2

Observation 0034ee40-074d-439e-ba04-f33010c4a93e · outbound

This paper cites an unresolved cited work.

Spooky Action at a Distance: Normalization Layers Enable Side-Channel Spatial Communication Unresolved cited work

Reference 2020

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:46:09.353669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:46:07.935891Z digest=sha256:cb68da2839c1ff10ac588a15bee40c24845c034e70af496e8ac58b96d74fd329

Observation 6e9f6f45-ef9c-40aa-a7f9-0836ef89fc88 · outbound

This paper cites An analytic theory of creativity in convolutional diffusion models.

Spooky Action at a Distance: Normalization Layers Enable Side-Channel Spatial Communication An analytic theory of creativity in convolutional diffusion models

Reference 2022

Resolution
unresolved
no resolver link, observed 2026-08-06T19:46:07.094069Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:46:07.094069Z digest=sha256:3780c99cb3d732c3ff1c60c26acc5f4a9b6620bc7b89feec2219efc59db5cf88

Observation 155b3ea1-8b33-46e6-ab23-45bd9f23c5a9 · outbound

This paper cites Layer Normalization.

Spooky Action at a Distance: Normalization Layers Enable Side-Channel Spatial Communication Layer Normalization

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-06T19:46:06.979539Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:46:06.979539Z digest=sha256:8a39b86832b8f9aedf2b4f6daaa11b813867655d3fdef9611872c0ee91f9f3c4

Observation 2899c957-205f-48ee-8c1e-8e3e1136e93f · outbound

This paper cites an unresolved cited work.

Spooky Action at a Distance: Normalization Layers Enable Side-Channel Spatial Communication Unresolved cited work

Reference 2024

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:46:10.059702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:46:07.483568Z digest=sha256:e8a46634ca390af2c1aa9ae4fec3b26c4a319e0daae97b3b027a4f7086d31e4b

Pith citing papers

No inbound Pith citation observations are available.