Paper Citation Record · LEDGER

Symmetry-via-Duality: Invariant Neural Network Densities from Parameter-Space Correlators

As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:2106.00694.

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

pith.paper-citation-record.v1
2106.00694 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 9 of 9 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 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:10:48.069884Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-21T17:40:26.527092Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 66e432d5-edee-4f20-aab5-d39a22cebd66 · inbound

Gauge-covariant stochastic neural fields: Stability and finite-width effects cites this paper.

Gauge-covariant stochastic neural fields: Stability and finite-width effects Symmetry-via-Duality: Invariant Neural Network Densities from Parameter-Space Correlators

Reference 13

Resolution: metadata mismatch; arxiv_id, observed 2026-05-18T21:46:51.892467Z

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 534100b3-e75f-4b8d-9e92-dfec37fe984f · inbound

Bulk-boundary decomposition of neural networks cites this paper.

Bulk-boundary decomposition of neural networks Symmetry-via-Duality: Invariant Neural Network Densities from Parameter-Space Correlators

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-04T00:22:01.144619Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dbc95737-294d-4510-9920-d8bcd8b54a64 · inbound

Conformal Defects in Neural Network Field Theories cites this paper.

Conformal Defects in Neural Network Field Theories Symmetry-via-Duality: Invariant Neural Network Densities from Parameter-Space Correlators

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-05-21T17:40:26.528767Z

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 58e067f3-6bbe-48b4-9960-98e62a1ae72b · inbound

Quantitative Understanding of PDF Fits and their Uncertainties cites this paper.

Quantitative Understanding of PDF Fits and their Uncertainties Symmetry-via-Duality: Invariant Neural Network Densities from Parameter-Space Correlators

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T13:34:53.587031Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da1e6beb-244c-4cae-91ea-983a32044e91 · inbound

Topological Effects in Neural Network Field Theory cites this paper.

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

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-05-13T21:13:16.300338Z

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 2e3a1497-eec8-446e-8114-bfac7ee6520f · inbound

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

Optimal Architecture and Fundamental Bounds in Neural Network Field Theory Symmetry-via-Duality: Invariant Neural Network Densities from Parameter-Space Correlators

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-05-12T09:46:28.062011Z

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 · inbound

Anomalies in Neural Network Field Theory cites this paper.

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 fb40606f-bf97-43e1-af7d-f67a777f2fd9 · inbound

Pre-Strings Lectures on Artificial Intelligence cites this paper.

Pre-Strings Lectures on Artificial Intelligence Symmetry-via-Duality: Invariant Neural Network Densities from Parameter-Space Correlators

Reference 45

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8ee77356-6409-46a2-8b82-135227aa1320 · inbound

A Tale of Two Compact Bosons cites this paper.

A Tale of Two Compact Bosons Symmetry-via-Duality: Invariant Neural Network Densities from Parameter-Space Correlators

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T04:10:48.069884Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.