Paper Citation Record · LEDGER

Transformative or Conservative? Conservation laws for ResNets and Transformers

As of 8 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 1 inbound Pith citation observation for arXiv:2506.06194.

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

pith.paper-citation-record.v1
2506.06194 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T06:10:22.175627Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T01:43:45.287360Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T19:58:54.983648Z

Reference resolution

35 of 35 outbound references displayed

verified exact0
verified fuzzy21
unresolved14
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 077cc5bd-5cef-4888-b4f6-43e95cc4caae · outbound

This paper cites On the optimization of deep networks: Implicit acceleration by overparameterization.

Transformative or Conservative? Conservation laws for ResNets and Transformers On the optimization of deep networks: Implicit acceleration by overparameterization

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:10:27.636016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c0b195a8-d314-4894-96a6-1ece1f62265f · outbound

This paper cites A convergence analysis of gradient descent for deep linear neural networks.

Transformative or Conservative? Conservation laws for ResNets and Transformers A convergence analysis of gradient descent for deep linear neural networks

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:10:27.377945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 72cee3de-7baa-4906-85d8-3acf356460ce · outbound

This paper cites Learning theory from first principles.

Transformative or Conservative? Conservation laws for ResNets and Transformers Learning theory from first principles

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:10:27.144485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7e83b5ce-ead7-4d2f-b044-66f20b1f0677 · outbound

This paper cites Learning deep linear neural networks: Riemannian gradient flows and convergence to global minimizers.

Transformative or Conservative? Conservation laws for ResNets and Transformers Learning deep linear neural networks: Riemannian gradient flows and convergence to global minimizers

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:10:26.935558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1cd4809c-3aa6-4d64-b6ac-eb1647a16dbd · outbound

This paper cites Neural machine translation by jointly learning to align and translate.

Transformative or Conservative? Conservation laws for ResNets and Transformers Neural machine translation by jointly learning to align and translate

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:10:26.716234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5aa9eb54-33ce-4f52-b393-ea89f9b40216 · outbound

This paper cites and Hennig, P.

Transformative or Conservative? Conservation laws for ResNets and Transformers and Hennig, P

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:10:26.456156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c29dcaf1-ab28-455b-9075-d8c50364065b · outbound

This paper cites and Bianchi, P.

Transformative or Conservative? Conservation laws for ResNets and Transformers and Bianchi, P

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:10:26.187006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c490d7ca-cc3f-4457-8a4b-e01be639d92b · outbound

This paper cites D., Dhariwal, P., Neelakantan, A., Shyam, P., Sastry, G., Askell, A., et al.

Transformative or Conservative? Conservation laws for ResNets and Transformers D., Dhariwal, P., Neelakantan, A., Shyam, P., Sastry, G., Askell, A., et al

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T06:10:19.422003Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 23096f6e-79a7-4746-8733-7aa1d0f68a3b · outbound

This paper cites T., Rubanova, Y., Bettencourt, J., and Duvenaud, D.

Transformative or Conservative? Conservation laws for ResNets and Transformers T., Rubanova, Y., Bettencourt, J., and Duvenaud, D

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T06:10:19.504439Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 96cac55e-92b4-4f01-8c0b-6a2eb1f6aaa8 · outbound

This paper cites and Bach, F.

Transformative or Conservative? Conservation laws for ResNets and Transformers and Bach, F

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:10:25.905495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 27738464-810f-42b6-b15f-9e7dd4af795f · outbound

This paper cites An image is worth 16x16 words: Transformers for image recognition at scale.

Transformative or Conservative? Conservation laws for ResNets and Transformers An image is worth 16x16 words: Transformers for image recognition at scale

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:10:25.632282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a6c32dea-5973-4c65-b649-d951590fd670 · outbound

This paper cites S., Hu, W., and Lee, J.

Transformative or Conservative? Conservation laws for ResNets and Transformers S., Hu, W., and Lee, J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:10:25.347694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 72447bda-f0b9-4b19-9b60-85ab3ce312c0 · outbound

This paper cites Handbook of Convergence Theorems for (Stochastic) Gradient Methods.

Transformative or Conservative? Conservation laws for ResNets and Transformers Handbook of Convergence Theorems for (Stochastic) Gradient Methods

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T06:10:19.881347Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f962fed7-6f28-45e5-914c-37ab9a23fedc · outbound

This paper cites Deep residual learning for image recognition.

Transformative or Conservative? Conservation laws for ResNets and Transformers Deep residual learning for image recognition

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T06:10:20.013796Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 873d21a6-50bc-4ccb-8637-740d88c32c99 · outbound

This paper cites Nonlinear system control.

Transformative or Conservative? Conservation laws for ResNets and Transformers Nonlinear system control

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:10:25.117485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 56a7c4fd-4a20-45f4-bc95-e3e260bab37a · outbound

This paper cites and Telgarsky, M.

Transformative or Conservative? Conservation laws for ResNets and Transformers and Telgarsky, M

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:10:24.855833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 99c04182-13a8-4a70-9e65-bf7f3448e788 · outbound

This paper cites and Telgarsky, M.

Transformative or Conservative? Conservation laws for ResNets and Transformers and Telgarsky, M

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:10:24.576044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5cccc2bb-3134-4dc3-9dee-f427208718a3 · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Transformative or Conservative? Conservation laws for ResNets and Transformers Adam: A Method for Stochastic Optimization

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T06:10:20.435796Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ad124e5-56c2-402b-81e1-3dcf005cad34 · outbound

This paper cites Learning multiple layers of features from tiny images.

Transformative or Conservative? Conservation laws for ResNets and Transformers Learning multiple layers of features from tiny images

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T06:10:20.545037Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fcb2a6da-902e-4ae7-a7b7-51a063ff9594 · outbound

This paper cites L., Daly, R.

Transformative or Conservative? Conservation laws for ResNets and Transformers L., Daly, R

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:10:24.309954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8e305631-e035-4ea1-a0b5-52637fa20c6d · outbound

This paper cites Abide by the law and follow the flow: Conservation laws for gradient flows.

Transformative or Conservative? Conservation laws for ResNets and Transformers Abide by the law and follow the flow: Conservation laws for gradient flows

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:10:24.113923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a86fa713-855e-40e7-8ada-16f6a1252a9d · outbound

This paper cites Keep the momentum: Conservation laws beyond euclidean gradient flows.

Transformative or Conservative? Conservation laws for ResNets and Transformers Keep the momentum: Conservation laws beyond euclidean gradient flows

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:10:23.888104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 50d9fd05-1121-4711-8595-9a9a82e4a657 · outbound

This paper cites Implicit regularization of deep residual networks towards neural ODEs.

Transformative or Conservative? Conservation laws for ResNets and Transformers Implicit regularization of deep residual networks towards neural ODEs

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T06:10:20.983539Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 89994fda-fd0c-4a61-a6c5-9c7f68e5f51f · outbound

This paper cites On the explicit role of initialization on the convergence and implicit bias of overparametrized linear networks.

Transformative or Conservative? Conservation laws for ResNets and Transformers On the explicit role of initialization on the convergence and implicit bias of overparametrized linear networks

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:10:23.714909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 16dace50-94ea-47b1-ab56-d50be507a6f2 · outbound

This paper cites an unresolved cited work.

Transformative or Conservative? Conservation laws for ResNets and Transformers Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-07T06:10:23.557695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8752c814-0727-4720-84d3-fd1dffe0e0d0 · outbound

This paper cites an unresolved cited work.

Transformative or Conservative? Conservation laws for ResNets and Transformers Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-07T06:10:23.357098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 78dcdb97-f1f0-41cc-a5e7-cf76c93640af · outbound

This paper cites Exact solutions to the nonlinear dynamics of learning in deep linear neural networks.

Transformative or Conservative? Conservation laws for ResNets and Transformers Exact solutions to the nonlinear dynamics of learning in deep linear neural networks

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T06:10:21.358588Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 06adced9-f4d6-4deb-8765-d3e4f8985410 · outbound

This paper cites S., Gunasekar, S., and Srebro, N.

Transformative or Conservative? Conservation laws for ResNets and Transformers S., Gunasekar, S., and Srebro, N

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:10:23.160494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0f76fdb1-29b2-4626-88cb-e21338f22f81 · outbound

This paper cites Equi-normalization of neural networks.

Transformative or Conservative? Conservation laws for ResNets and Transformers Equi-normalization of neural networks

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:10:22.915203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a7277663-0f17-4323-b4dc-d54315606661 · outbound

This paper cites D., and Vidal, R.

Transformative or Conservative? Conservation laws for ResNets and Transformers D., and Vidal, R

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:10:22.752473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7f0e6d96-43ce-4aae-ab0d-aa2a28b11b3c · outbound

This paper cites Implicit Bias and Fast Convergence Rates for Self-attention.

Transformative or Conservative? Conservation laws for ResNets and Transformers Implicit Bias and Fast Convergence Rates for Self-attention

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-07T06:10:21.767421Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 18d21a58-7d1a-4999-baba-d9d298161444 · outbound

This paper cites Attention is all you need.

Transformative or Conservative? Conservation laws for ResNets and Transformers Attention is all you need

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-07T06:10:21.873521Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5075481c-9eb5-4fbc-8838-e97f2989f7cb · outbound

This paper cites an unresolved cited work.

Transformative or Conservative? Conservation laws for ResNets and Transformers Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-07T06:10:22.549831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a9050b91-3c40-4920-bb2e-d38fcdec4574 · outbound

This paper cites Making convolutional networks shift-invariant again.

Transformative or Conservative? Conservation laws for ResNets and Transformers Making convolutional networks shift-invariant again

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:10:22.389244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2def2e36-ee98-4f2b-afb0-148cb9e89ee4 · outbound

This paper cites write newline.

Transformative or Conservative? Conservation laws for ResNets and Transformers write newline

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-07T06:10:22.175627Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 28e13258-fb75-4285-8dfe-69745c591ec2 · inbound

Conservation Laws for Modern Neural Architectures cites this paper.

Conservation Laws for Modern Neural Architectures Transformative or Conservative? Conservation laws for ResNets and Transformers

Reference 32

Resolution: verified exact; arxiv_id, observed 2026-07-03T19:58:54.985123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.