Paper Citation Record · LEDGER

Anomalies in Neural Network Field Theory

As of 7 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 1 inbound Pith citation observation for arXiv:2605.12488.

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

pith.paper-citation-record.v1
2605.12488 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-13T03:22:19.732529Z

measured 41 of 41 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 2026-07-12T06:14:03.658427Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

40 of 40 outbound references displayed

verified exact22
verified fuzzy11
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch7

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bed22ff0-2333-4559-be10-4dde9f23518d · outbound

This paper cites Path-Integral Measure for Gauge-Invariant Fermion Theories.

Anomalies in Neural Network Field Theory Path-Integral Measure for Gauge-Invariant Fermion Theories

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T12:32:44.986272Z

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 3544abb8-54ba-48d5-b278-9494aa5d2b46 · outbound

This paper cites Axial-Vector Vertex in Spinor Electrodynamics.

Anomalies in Neural Network Field Theory Axial-Vector Vertex in Spinor Electrodynamics

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T12:32:44.988290Z

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 f0c640d3-dd70-4e28-853c-460e1571d81c · outbound

This paper cites A PCAC Puzzle: π0 →γγ in the σ-Model.

Anomalies in Neural Network Field Theory A PCAC Puzzle: π0 →γγ in the σ-Model

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T12:32:44.984229Z

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 4365a309-d6fd-4241-81d2-9c360ab11f69 · outbound

This paper cites Neural Networks and Quantum Field Theory.

Anomalies in Neural Network Field Theory Neural Networks and Quantum Field Theory

Reference 4

Resolution: metadata mismatch; arxiv_id, observed 2026-05-13T03:27:12.161789Z

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 4a4922e3-c927-4b05-ad06-e2eabb5250e1 · outbound

This paper cites BAYESIAN LEARNING FOR NEURAL NETWORKS.

Anomalies in Neural Network Field Theory BAYESIAN LEARNING FOR NEURAL NETWORKS

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T12:32:44.990381Z

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 0445a854-43b4-42c6-a5a1-9507e585c0ce · outbound

This paper cites The Neural Networks with Tensor Weights and the Corresponding Fermionic Quantum Field Theory.

Anomalies in Neural Network Field Theory The Neural Networks with Tensor Weights and the Corresponding Fermionic Quantum Field Theory

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-05-13T03:27:12.167468Z

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 0c62b15c-1474-4edc-84f3-406d45addd9f · outbound

This paper cites Conformal Fields from Neural Networks.

Anomalies in Neural Network Field Theory Conformal Fields from Neural Networks

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-05-13T03:27:12.132842Z

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 f9370749-c1ec-465a-bc05-eb2a26cc2939 · outbound

This paper cites Robinson,Virasoro Symmetry in Neural Network Field Theories,2512.24420.

Anomalies in Neural Network Field Theory Robinson,Virasoro Symmetry in Neural Network Field Theories,2512.24420

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-05-13T03:27:12.121847Z

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 c98cb8a9-472f-475e-bad2-efb3c1085380 · outbound

This paper cites Conformal Defects in Neural Network Field Theories.

Anomalies in Neural Network Field Theory Conformal Defects in Neural Network Field Theories

Reference 13

Resolution: metadata mismatch; arxiv_id, observed 2026-05-20T00:00:29.788563Z

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 ee3187ef-f1c5-4a68-b1b5-cff27d0d3ded · outbound

This paper cites Excited String States and D-branes from Infinite Width Neural Networks.

Anomalies in Neural Network Field Theory Excited String States and D-branes from Infinite Width Neural Networks

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-05-13T03:27:12.138416Z

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 7af3bd96-5c7d-4d7a-a7b7-d4744bd46737 · outbound

This paper cites Topological Effects in Neural Network Field Theory.

Anomalies in Neural Network Field Theory Topological Effects in Neural Network Field Theory

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-05-13T03:27:12.144082Z

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 ca82c7fc-3f40-4ea1-9710-07056a0a30fb · outbound

This paper cites Quantum Mechanics and Neural Networks.

Anomalies in Neural Network Field Theory Quantum Mechanics and Neural Networks

Reference 17

Resolution: verified exact; arxiv_id, observed 2026-05-13T03:27:12.111924Z

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 66cebc2c-568f-4a1a-a55f-896f109f8420 · outbound

This paper cites Optimal Architecture and Fundamental Bounds in Neural Network Field Theory.

Anomalies in Neural Network Field Theory Optimal Architecture and Fundamental Bounds in Neural Network Field Theory

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-05-13T03:27:12.106128Z

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 8d0aa7c4-72b1-4df7-9706-264ffd5c76df · outbound

This paper cites Neural network representation of quantum systems.

Anomalies in Neural Network Field Theory Neural network representation of quantum systems

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-06-23T02:11:56.080123Z

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 3a239ad2-ac82-41d2-bd6b-3b0f4a41fca9 · outbound

This paper cites Viability of perturbative expansion for quantum field theories on neurons.

Anomalies in Neural Network Field Theory Viability of perturbative expansion for quantum field theories on neurons

Reference 20

Resolution: metadata mismatch; arxiv_id, observed 2026-05-20T00:00:22.596994Z

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 86b0a1ec-c115-428d-8275-de53c1a11d08 · outbound

This paper cites Nonperturbative renormalization for the neural network-QFT correspondence.

Anomalies in Neural Network Field Theory Nonperturbative renormalization for the neural network-QFT correspondence

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-05-13T03:27:12.150219Z

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 9eb95d7a-1d94-4128-80bb-f4afa9aeae5f · outbound

This paper cites TASI Lectures on Physics for Machine Learning.

Anomalies in Neural Network Field Theory TASI Lectures on Physics for Machine Learning

Reference 22

Resolution: verified exact; arxiv_id, observed 2026-05-13T03:27:12.078276Z

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 e7f0aa7b-022d-4011-8326-3f3155fd3977 · outbound

This paper cites Symmetry-via-Duality: Invariant Neural Network Densities from Parameter-Space Correlators.

Anomalies in Neural Network Field Theory Symmetry-via-Duality: Invariant Neural Network Densities from Parameter-Space Correlators

Reference 23

Resolution: metadata mismatch; arxiv_id, observed 2026-05-13T03:27:12.082960Z

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 04dad8dc-5602-4d1f-b2e4-7e19438e33b4 · outbound

This paper cites Ferko, J.

Anomalies in Neural Network Field Theory Ferko, J

Reference 24

Resolution: metadata mismatch; arxiv_id, observed 2026-05-13T03:27:12.087887Z

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 b460e38e-a193-451c-913a-384f15b94aed · outbound

This paper cites Random Features for Large-Scale Kernel Machines.

Anomalies in Neural Network Field Theory Random Features for Large-Scale Kernel Machines

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T12:32:44.982473Z

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 cac021e9-392d-43b0-8156-c8981cf3c3a2 · outbound

This paper cites Neural Network Quantum Field Theory from Transformer Architectures.

Anomalies in Neural Network Field Theory Neural Network Quantum Field Theory from Transformer Architectures

Reference 26

Resolution: verified exact; arxiv_id, observed 2026-05-13T03:27:12.037997Z

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 7eb00e15-8fa5-4547-b99b-5006c770f3ca · outbound

This paper cites Attention is All You Need.

Anomalies in Neural Network Field Theory Attention is All You Need

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T12:32:44.970973Z

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 aca8dc31-259a-4a79-bb6a-f858a0c1065e · outbound

This paper cites Symmetry Breaking in Transformers for Efficient and Interpretable Training.

Anomalies in Neural Network Field Theory Symmetry Breaking in Transformers for Efficient and Interpretable Training

Reference 28

Resolution: verified exact; arxiv_id, observed 2026-05-13T03:27:12.013128Z

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 752686b6-30a3-4a13-8832-0cb96d4e8d4e · outbound

This paper cites Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion.

Anomalies in Neural Network Field Theory Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion

Reference 29

Resolution: verified exact; arxiv_id, observed 2026-05-13T03:27:12.018657Z

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 5fe9735f-ac68-4244-8b05-ba551a6a4bfc · outbound

This paper cites Building Quantum Field Theories Out of Neurons.

Anomalies in Neural Network Field Theory Building Quantum Field Theories Out of Neurons

Reference 30

Resolution: verified exact; arxiv_id, observed 2026-05-13T03:27:12.024603Z

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 d692db29-926c-4e17-9cc0-8e6935691d96 · outbound

This paper cites Neural Network Field Theories: Non-Gaussianity, Actions, and Locality.

Anomalies in Neural Network Field Theory Neural Network Field Theories: Non-Gaussianity, Actions, and Locality

Reference 31

Resolution: verified exact; arxiv_id, observed 2026-05-13T03:27:12.045069Z

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 4e5840d4-c862-4410-ad64-c418a2b19fd1 · outbound

This paper cites Conformal invariance, supersymmetry and string theory.

Anomalies in Neural Network Field Theory Conformal invariance, supersymmetry and string theory

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T12:32:44.976749Z

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 55e5cf4b-452c-42d0-a464-4e7c3c554450 · outbound

This paper cites Note on the Bondi-Metzner-Sachs Group.

Anomalies in Neural Network Field Theory Note on the Bondi-Metzner-Sachs Group

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T12:32:44.972960Z

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 94ec9465-0ba1-44dc-bb63-b81afece8602 · outbound

This paper cites Spin-sSpherical Harmonics andð.

Anomalies in Neural Network Field Theory Spin-sSpherical Harmonics andð

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T12:32:44.978702Z

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 1cc4efb5-386f-4e65-9ba8-05a5610836c7 · outbound

This paper cites Frank, J.

Anomalies in Neural Network Field Theory Frank, J

Reference 35

Resolution: metadata mismatch; arxiv_id, observed 2026-05-13T03:27:12.062336Z

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 c5811253-06db-48b0-8337-30b3a6ac2e72 · outbound

This paper cites Frank and J.

Anomalies in Neural Network Field Theory Frank and J

Reference 36

Resolution: metadata mismatch; arxiv_id, observed 2026-05-13T03:27:12.067474Z

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 c85122d3-eb78-40ff-ab67-f956cb4e0e80 · outbound

This paper cites Generalized Global Symmetries.

Anomalies in Neural Network Field Theory Generalized Global Symmetries

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-05-13T03:27:12.101137Z

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 c609a874-64a2-4b9a-a623-6fa08d2451dd · outbound

This paper cites Notes on generalized global symmetries in QFT.

Anomalies in Neural Network Field Theory Notes on generalized global symmetries in QFT

Reference 38

Resolution: verified exact; arxiv_id, observed 2026-05-13T03:27:12.096713Z

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 5f2eb538-45ff-4375-a00d-b303a1918d2c · outbound

This paper cites An Introduction to Higher-Form Symmetries.

Anomalies in Neural Network Field Theory An Introduction to Higher-Form Symmetries

Reference 39

Resolution: verified exact; arxiv_id, observed 2026-05-13T03:27:12.092412Z

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 f29020ac-2869-438c-b593-7d0a307ab9a7 · outbound

This paper cites ICTP Lectures on (Non-)Invertible Generalized Symmetries.

Anomalies in Neural Network Field Theory ICTP Lectures on (Non-)Invertible Generalized Symmetries

Reference 40

Resolution: verified exact; arxiv_id, observed 2026-05-16T07:50:05.675461Z

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 0a41517a-19f5-4dcf-b5d7-4f96541966f0 · outbound

This paper cites Introduction to Generalized Global Symmetries in QFT and Particle Physics.

Anomalies in Neural Network Field Theory Introduction to Generalized Global Symmetries in QFT and Particle Physics

Reference 41

Resolution: verified exact; arxiv_id, observed 2026-05-13T03:27:12.031471Z

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 a67f1e38-e765-4b91-a122-ca1260417e47 · outbound

This paper cites Lectures on Generalized Symmetries.

Anomalies in Neural Network Field Theory Lectures on Generalized Symmetries

Reference 42

Resolution: verified exact; arxiv_id, observed 2026-05-17T14:14:52.403503Z

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 81971013-a5d3-4f49-ae68-12537d4c6e2d · outbound

This paper cites What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries.

Anomalies in Neural Network Field Theory What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries

Reference 43

Resolution: verified exact; arxiv_id, observed 2026-05-13T03:27:12.073013Z

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 51658287-b81d-43af-8267-eac9db86ad86 · outbound

This paper cites Naturalness, chiral symmetry, and spontaneous chiral symmetry breaking.

Anomalies in Neural Network Field Theory Naturalness, chiral symmetry, and spontaneous chiral symmetry breaking

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T12:32:44.974862Z

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 5001d79b-a6a3-4482-907b-4854b56e1448 · outbound

This paper cites Introduction to Analytic Number Theory.

Anomalies in Neural Network Field Theory Introduction to Analytic Number Theory

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T12:32:44.980573Z

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.

Pith citing papers

Observation b4aeeee1-0483-40b2-a91f-68aa05350946 · inbound

Pre-Strings Lectures on Artificial Intelligence cites this paper.

Pre-Strings Lectures on Artificial Intelligence Anomalies in Neural Network Field Theory

Reference 65

Resolution: unresolved; no resolver link, observed 2026-07-12T06:14:03.658427Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.