Paper Citation Record · LEDGER

Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field

As of 18 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:1908.04138.

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

pith.paper-citation-record.v1
1908.04138 v2

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:57:59.289954Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

32 of 32 outbound references displayed

verified exact2
verified fuzzy12
unresolved17
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malformed identifier0
metadata mismatch1

External citation measurements

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Outbound references

Observation f844e964-6371-421b-ba6a-e36b041385f6 · outbound

This paper cites The appear- ance of the universal integer values of the Hall plateaus prompts that σH has the topological meaning, i.e.

Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field The appear- ance of the universal integer values of the Hall plateaus prompts that σH has the topological meaning, i.e

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:57:59.837609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation fde9eb3c-0b9e-4961-a839-d88ceea1e9a2 · outbound

This paper cites an unresolved cited work.

Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:57:59.822038Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 13b84fc6-aa21-4b13-9142-56f4142d0ba3 · outbound

This paper cites SETUP OF THE GEDANKENEXPERIMENT.

Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field SETUP OF THE GEDANKENEXPERIMENT

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:57:59.807720Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3c23b5ee-f296-4686-8653-52e2b2a383cc · outbound

This paper cites (a) + + +.

Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field (a) + + +

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:57:59.793006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9dc30f51-79c5-41cc-94e0-110bc3d09fba · outbound

This paper cites Be- low we will prove that this expression does not receive corrections from interactions, i.e.

Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field Be- low we will prove that this expression does not receive corrections from interactions, i.e

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:57:59.778699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f6835af1-5fd6-45d9-b0e9-373742c1d701 · outbound

This paper cites an unresolved cited work.

Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:57:59.763692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ded92640-5b2a-42bd-a624-c25956267066 · outbound

This paper cites an unresolved cited work.

Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-14T13:57:59.174803Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a7715ff-5b06-4d2f-9ded-5e882a63df73 · outbound

This paper cites Field Theories of Condensed Matter Physics.

Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field Field Theories of Condensed Matter Physics

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:57:59.737359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ff0d7125-6e3f-4fed-ad56-42c61e9be7f8 · outbound

This paper cites Lectures on the Quantum Hall Effect.

Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field Lectures on the Quantum Hall Effect

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-14T13:57:59.184225Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6a9b972c-1ce3-4f4f-8214-685866fab37c · outbound

This paper cites Hatsugai, J.

Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field Hatsugai, J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:57:59.721547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b05a6a47-b108-4d24-806c-3df08d2cf56b · outbound

This paper cites an unresolved cited work.

Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:57:59.706856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 114abc37-cb0f-4c76-ab3f-1aefda2659db · outbound

This paper cites Matsuyama, Prog.

Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field Matsuyama, Prog

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:57:59.691585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0b6762cc-6bc2-40d4-b7be-30506cf8cc3d · outbound

This paper cites Volovik, JETP 67, 1804 (1988).

Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field Volovik, JETP 67, 1804 (1988)

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:57:59.677102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3537f48d-4486-495e-bf37-c63530d74aef · outbound

This paper cites Volovik, The Universe in a Helium Droplet , Clarendon Press, Oxford (2003).

Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field Volovik, The Universe in a Helium Droplet , Clarendon Press, Oxford (2003)

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-14T13:57:59.208433Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4efc05f9-f914-4eb5-8928-2c944d6ead2e · outbound

This paper cites Topological invariant in terms of the Green functions for the Quantum Hall Effect in the presence of varying magnetic field.

Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field Topological invariant in terms of the Green functions for the Quantum Hall Effect in the presence of varying magnetic field

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-14T13:57:59.212855Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9e914bc6-11f4-4b76-b6cd-f42c8bc31900 · outbound

This paper cites Coleman and B.

Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field Coleman and B

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:57:59.653174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b4c21e4c-a1b0-485f-a5d1-219bcd3fb37a · outbound

This paper cites Lee, Phys.

Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field Lee, Phys

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:57:59.639269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f8eadfc7-7fc0-417d-9c95-2a507d946fac · outbound

This paper cites Influence of interactions on the anomalous quantum Hall effect.

Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field Influence of interactions on the anomalous quantum Hall effect

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-14T13:57:59.225702Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 48dda855-62d5-4649-8c4f-ad5dd39941c8 · outbound

This paper cites an unresolved cited work.

Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field Unresolved cited work

Reference 19

Resolution: verified exact; doi, observed 2026-08-14T13:57:59.325522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8a5844c3-6694-44f1-b83b-36cb738f37e0 · outbound

This paper cites an unresolved cited work.

Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:57:59.625210Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0d9a611c-3611-4f66-9eb5-be9dda7effbc · outbound

This paper cites an unresolved cited work.

Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:57:59.610985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f4edc6ae-a3fb-4d6c-b61b-6c058d590e6b · outbound

This paper cites Altshuler and A.G.

Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field Altshuler and A.G

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:57:59.595023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e558bbd3-63f0-4d98-85ad-43b6c1e0a54c · outbound

This paper cites an unresolved cited work.

Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:57:59.580755Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 82f2e1ba-e215-4126-87ea-c00427ff9e3f · outbound

This paper cites an unresolved cited work.

Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:57:59.565947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation bb21e8a2-067d-40c0-a317-565712d19808 · outbound

This paper cites Berezin and M.A.

Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field Berezin and M.A

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:57:59.551013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a3ff77d0-5804-4042-a4b8-58975241fb9e · outbound

This paper cites Quantum Mechanics in Phase Space.

Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field Quantum Mechanics in Phase Space

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-14T13:57:59.261797Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 981b2478-e9e0-4831-88d2-c425fd48ffa4 · outbound

This paper cites Wigner transformation, momentum space topology, and anomalous transport.

Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field Wigner transformation, momentum space topology, and anomalous transport

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-14T13:57:59.266474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e7749e99-6be8-440d-8f96-f9e4efb9f39f · outbound

This paper cites Elastic deformations and Wigner-Weyl formalism in graphene.

Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field Elastic deformations and Wigner-Weyl formalism in graphene

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-14T13:57:59.271568Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8aa58759-aaa3-4903-8832-bfed33aaa980 · outbound

This paper cites Suleymanov and M.

Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field Suleymanov and M

Reference 29

Resolution: metadata mismatch; raw_fallback, observed 2026-08-14T13:57:59.431184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 451a4237-d92b-4ba7-b17b-94ffffb47388 · outbound

This paper cites an unresolved cited work.

Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:57:59.534873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 59da838d-012c-44bd-9db8-5c0dc7db03f2 · outbound

This paper cites Chiral torsional effect.

Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field Chiral torsional effect

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-14T13:57:59.363148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8db306e7-0ebb-4abc-b69f-d65929ee22b7 · outbound

This paper cites Elasticity tetrads, mixed axial-gravitational anomalies, and 3+1d quantum Hall effect.

Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field Elasticity tetrads, mixed axial-gravitational anomalies, and 3+1d quantum Hall effect

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-14T13:57:59.289954Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

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