Paper Citation Record · LEDGER

A Structural Interpretation of GELU and Threshold-Transmission Activations via the First-Order Loss Function

As of 8 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2607.03664.

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

pith.paper-citation-record.v1
2607.03664 v3

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T08:53:45.921865Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

24 of 24 outbound references displayed

verified exact0
verified fuzzy0
unresolved24
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 22cb50bb-18a0-409a-a168-b3170c830ba7 · outbound

This paper cites an unresolved cited work.

A Structural Interpretation of GELU and Threshold-Transmission Activations via the First-Order Loss Function Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T08:53:43.114377Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b99232ec-f88b-4e6c-bac5-925add2c8bd7 · outbound

This paper cites Birge and Fran¸ cois Louveaux.Introduction to Stochastic Programming.

A Structural Interpretation of GELU and Threshold-Transmission Activations via the First-Order Loss Function Birge and Fran¸ cois Louveaux.Introduction to Stochastic Programming

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T08:53:43.188073Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5100d1fc-3d3a-4884-bbd4-b5c61d01d273 · outbound

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

A Structural Interpretation of GELU and Threshold-Transmission Activations via the First-Order Loss Function An image is worth 16x16 words: Transformers for image recognition at scale

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T08:53:43.324418Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f629bb92-52f5-48a1-bf7b-7d1ddc35b1ca · outbound

This paper cites Activation functions in deep learning: A comprehensive survey and benchmark.Neurocomputing, 503:92–108, September 2022.

A Structural Interpretation of GELU and Threshold-Transmission Activations via the First-Order Loss Function Activation functions in deep learning: A comprehensive survey and benchmark.Neurocomputing, 503:92–108, September 2022

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T08:53:43.452296Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 253a6dcc-3541-4d63-bb02-76fd2946c594 · outbound

This paper cites TinyStories: How Small Can Language Models Be and Still Speak Coherent English?.

A Structural Interpretation of GELU and Threshold-Transmission Activations via the First-Order Loss Function TinyStories: How Small Can Language Models Be and Still Speak Coherent English?

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T08:53:43.578255Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 12812b74-6d6a-4b39-87ce-909f6273be86 · outbound

This paper cites Sigmoid-weighted linear units for neural network function approximation in reinforcement learning.Neural Networks, 107:3–11, November 2018.

A Structural Interpretation of GELU and Threshold-Transmission Activations via the First-Order Loss Function Sigmoid-weighted linear units for neural network function approximation in reinforcement learning.Neural Networks, 107:3–11, November 2018

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T08:53:43.732663Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0aa96ca7-93ad-45d2-ade0-70e390bad816 · outbound

This paper cites Whitin.Analysis of Inventory Systems.

A Structural Interpretation of GELU and Threshold-Transmission Activations via the First-Order Loss Function Whitin.Analysis of Inventory Systems

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T08:53:43.817432Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c4886aeb-5eec-4225-898a-29acae7a769e · outbound

This paper cites Gaussian Error Linear Units (GELUs).

A Structural Interpretation of GELU and Threshold-Transmission Activations via the First-Order Loss Function Gaussian Error Linear Units (GELUs)

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T08:53:43.985857Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c4c877d5-5fa9-4f29-8d7d-63ee9571a6f7 · outbound

This paper cites Searching for MobileNetV3.

A Structural Interpretation of GELU and Threshold-Transmission Activations via the First-Order Loss Function Searching for MobileNetV3

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T08:53:44.132466Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6f612dc9-386e-4048-a538-56422d48465a · outbound

This paper cites Jaynes.Probability theory: The logic of science.

A Structural Interpretation of GELU and Threshold-Transmission Activations via the First-Order Loss Function Jaynes.Probability theory: The logic of science

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T08:53:44.274646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4c064904-7df7-4cf0-9e4c-1f7d3693b386 · outbound

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

A Structural Interpretation of GELU and Threshold-Transmission Activations via the First-Order Loss Function Learning multiple layers of features from tiny images

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T08:53:44.411385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation caa23dfa-cf21-49c3-b5cb-350b5b744840 · outbound

This paper cites Three Decades of Activations: A Comprehensive Survey of 400 Activation Functions for Neural Networks.

A Structural Interpretation of GELU and Threshold-Transmission Activations via the First-Order Loss Function Three Decades of Activations: A Comprehensive Survey of 400 Activation Functions for Neural Networks

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T08:53:44.547521Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5c4c0816-9fd4-4089-8e31-0ecdcaf906ec · outbound

This paper cites Lin, Allan Pinkus, and Shimon Schocken.

A Structural Interpretation of GELU and Threshold-Transmission Activations via the First-Order Loss Function Lin, Allan Pinkus, and Shimon Schocken

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T08:53:44.750257Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5075698e-2475-41a5-b593-838c2ca4a16d · outbound

This paper cites Decoupled weight decay regularization.

A Structural Interpretation of GELU and Threshold-Transmission Activations via the First-Order Loss Function Decoupled weight decay regularization

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T08:53:44.849273Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eae09bfd-c6c6-45d7-82ca-be091436d431 · outbound

This paper cites Pointer sentinel mixture models.

A Structural Interpretation of GELU and Threshold-Transmission Activations via the First-Order Loss Function Pointer sentinel mixture models

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-02T08:53:44.911809Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ff935237-312d-4c71-943f-73d30f0379f3 · outbound

This paper cites an unresolved cited work.

A Structural Interpretation of GELU and Threshold-Transmission Activations via the First-Order Loss Function Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T08:53:44.981476Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bb6e49e1-1d86-4228-a7f9-dbe820dd7c66 · outbound

This paper cites Armagan Tarim, Steven Prestwich, and Brahim Hnich.

A Structural Interpretation of GELU and Threshold-Transmission Activations via the First-Order Loss Function Armagan Tarim, Steven Prestwich, and Brahim Hnich

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T08:53:45.065710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d5d3ad9f-bd82-4149-8634-63a26ba97c51 · outbound

This paper cites Neural machine translation of rare words with subword units.

A Structural Interpretation of GELU and Threshold-Transmission Activations via the First-Order Loss Function Neural machine translation of rare words with subword units

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T08:53:45.219619Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9695854e-d984-4143-82ff-1b89ef563f59 · outbound

This paper cites Dropout: A simple way to prevent neural networks from overfitting.Journal of Machine Learning Research, 15(56):1929–1958, 2014.

A Structural Interpretation of GELU and Threshold-Transmission Activations via the First-Order Loss Function Dropout: A simple way to prevent neural networks from overfitting.Journal of Machine Learning Research, 15(56):1929–1958, 2014

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T08:53:45.365494Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1d188e67-0750-437e-a492-b5c1711c82b3 · outbound

This paper cites Rethinking the Inception architecture for computer vision.

A Structural Interpretation of GELU and Threshold-Transmission Activations via the First-Order Loss Function Rethinking the Inception architecture for computer vision

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-02T08:53:45.430084Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 83fa6006-72ee-490d-9c14-0a0da3192810 · outbound

This paper cites an unresolved cited work.

A Structural Interpretation of GELU and Threshold-Transmission Activations via the First-Order Loss Function Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-02T08:53:45.519912Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e8069ff5-2cad-43cf-914a-abffb43a0656 · outbound

This paper cites Gomez, Lukasz Kaiser, and Illia Polosukhin.

A Structural Interpretation of GELU and Threshold-Transmission Activations via the First-Order Loss Function Gomez, Lukasz Kaiser, and Illia Polosukhin

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-02T08:53:45.655299Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 469c8f42-e747-4af3-b403-fba4a3d3034a · outbound

This paper cites an unresolved cited work.

A Structural Interpretation of GELU and Threshold-Transmission Activations via the First-Order Loss Function Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-02T08:53:45.819917Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 20adf1fc-550b-4f29-a250-0ac2c181fa22 · outbound

This paper cites Irwin Professional Publishing, Maiden- head, England, April 2000.

A Structural Interpretation of GELU and Threshold-Transmission Activations via the First-Order Loss Function Irwin Professional Publishing, Maiden- head, England, April 2000

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-02T08:53:45.921865Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.