Paper Citation Record · LEDGER

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System

As of 8 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2505.21131.

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

pith.paper-citation-record.v1
2505.21131 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:46:22.582121Z

measured 43 of 43 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

43 of 43 outbound references displayed

verified exact0
verified fuzzy18
unresolved25
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 71c053ee-893c-4cc8-a9d0-6303beeac2d7 · outbound

This paper cites Colloquium: Topological insulators.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Colloquium: Topological insulators

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:46:31.481572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d794cba4-ebf7-4aa4-976d-13939735297d · outbound

This paper cites Topological insulators and superconductors.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Topological insulators and superconductors

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:46:31.311632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d141130e-88aa-40a3-be41-e4d9040c2b71 · outbound

This paper cites Topological photonics.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Topological photonics

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:46:31.133310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7e7c5869-fc37-4405-b117-65be3edc63a6 · outbound

This paper cites Topological phases in acoustic and mechanical systems.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Topological phases in acoustic and mechanical systems

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:46:30.955619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6136fbf5-b1a0-4307-914a-06415716b5ba · outbound

This paper cites Quantized Hall Conductance in a Two‑Dimensional Periodic Potential.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Quantized Hall Conductance in a Two‑Dimensional Periodic Potential

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:46:30.733304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1915d5e7-903c-43b8-bd9d-f2fb4b725083 · outbound

This paper cites Quantal phase factors accompanying adiabatic changes.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Quantal phase factors accompanying adiabatic changes

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:46:30.542589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 284fccf9-cd3e-4d78-8601-edd4fcd1045f · outbound

This paper cites Berry’s phase for energy‑bands in solids.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Berry’s phase for energy‑bands in solids

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:46:30.351621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4a847210-1029-4296-839a-9131375facc3 · outbound

This paper cites Chern number and edge states in the integer quantum Hall effect.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Chern number and edge states in the integer quantum Hall effect

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:46:30.198176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f1b3aa9d-26b4-423d-a209-3e86ec0a13e2 · outbound

This paper cites Z₂ Topological Order and the Quantum Spin Hall Effect.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Z₂ Topological Order and the Quantum Spin Hall Effect

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:46:29.875806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 641be56c-bc1f-4ea4-8c7c-6efd01b2446d · outbound

This paper cites an unresolved cited work.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:46:29.688673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ce13ba8b-a251-4773-9d4d-96f8d7e412f2 · outbound

This paper cites an unresolved cited work.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:46:29.536444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4a4daf9a-20e5-40e8-96a5-c3fa291674af · outbound

This paper cites an unresolved cited work.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:46:29.365371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation beecede2-4ca8-438b-a6d7-f93e160d0c24 · outbound

This paper cites an unresolved cited work.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:46:29.231700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5d4ba251-1ad7-43a2-9d7c-7a629db472fd · outbound

This paper cites an unresolved cited work.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:46:28.918077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0d52cdcf-26ce-4993-9315-f478f6159d99 · outbound

This paper cites an unresolved cited work.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:46:28.604702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9e42063b-4b3f-4edf-8118-fb7789767333 · outbound

This paper cites an unresolved cited work.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:46:28.347352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation bd2aeb98-3f5f-42e8-9cf2-fbb2a453e97d · outbound

This paper cites an unresolved cited work.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:46:28.123842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 311c961f-8583-42a3-a63e-f6eef21659c7 · outbound

This paper cites an unresolved cited work.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:46:27.874340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0a3527ea-ce50-49ad-aa0c-b0e5a6b378ad · outbound

This paper cites Exploring Non-Abelian Geometric Phases in Spin-1 Ultracold Atoms.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Exploring Non-Abelian Geometric Phases in Spin-1 Ultracold Atoms

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:46:27.644984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 213e3c75-7155-4266-96f8-5226b709a24a · outbound

This paper cites an unresolved cited work.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:46:27.445630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f2e43c7d-3f43-4908-ba65-aff2e677b38a · outbound

This paper cites an unresolved cited work.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:46:27.230245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e8e3c125-e1d7-486f-8998-8ef3ae46a39e · outbound

This paper cites an unresolved cited work.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:46:26.947692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 53269e91-c3e7-4eb3-a288-34be9254aac9 · outbound

This paper cites Topological Anderson insulating phases in the long- range Su-Schrieffer-Heeger model.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Topological Anderson insulating phases in the long- range Su-Schrieffer-Heeger model

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:46:26.774175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4a033e06-adc3-456b-9d8a-bcab68b09cce · outbound

This paper cites an unresolved cited work.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:46:26.574732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3b58489e-2935-4be0-9607-a3635e5c2162 · outbound

This paper cites an unresolved cited work.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:46:26.393316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 74377048-d633-406e-9a2a-0118aa79b6e2 · outbound

This paper cites an unresolved cited work.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:46:26.224958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f493a4b0-6042-4416-a538-e121078775e6 · outbound

This paper cites an unresolved cited work.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:46:25.948517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3c3bdcf9-2a5c-440c-b3d9-4c4bbef6dce6 · outbound

This paper cites an unresolved cited work.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:46:25.803540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 845c2ec1-c07f-4c65-a5e5-b3a7af40d36d · outbound

This paper cites A Short Course on Topological Insulators: Band-Structure Topology and Edge States in One and Two Dimensions.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System A Short Course on Topological Insulators: Band-Structure Topology and Edge States in One and Two Dimensions

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:46:25.504216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8fecbc4e-d471-4bc9-928c-35d5890be89d · outbound

This paper cites an unresolved cited work.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:46:25.269073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e9974631-6e68-4edb-8b9f-3933761f2c3e · outbound

This paper cites an unresolved cited work.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:46:25.005186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 08443926-02c8-4b80-8480-0a7d2eb63b1d · outbound

This paper cites an unresolved cited work.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:46:24.784846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 66f0f8dc-beec-422c-8e15-0f3cdbe02418 · outbound

This paper cites an unresolved cited work.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:46:24.659526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1e933870-6294-4cf3-a9b6-04fd624ea193 · outbound

This paper cites an unresolved cited work.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:46:24.466483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 081baf9a-1801-43bf-bb88-b0b8f762b5dc · outbound

This paper cites Topological classification table implemented with classical passive metamaterials.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Topological classification table implemented with classical passive metamaterials

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:46:24.276274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a4b05c5f-030e-4214-897c-bb97511bfeb3 · outbound

This paper cites an unresolved cited work.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:46:24.095254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 760bf87f-c86b-4127-8b90-95935a9ec113 · outbound

This paper cites an unresolved cited work.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:46:23.911787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c4ac91ff-7cbb-48b9-aa9a-9f3716931d67 · outbound

This paper cites Non-Abelian Topological Phases and Their Quotient Relations in Acoustic Systems.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Non-Abelian Topological Phases and Their Quotient Relations in Acoustic Systems

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:46:23.724765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 38876795-4ea5-41e4-9b4a-38d594005b1c · outbound

This paper cites Significance of electromagnetic potentials in the quantum theory.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Significance of electromagnetic potentials in the quantum theory

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:46:23.565959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e17c531d-e2fb-4e59-b5fa-012187ae1f8f · outbound

This paper cites Holonomy, the quantum adiabatic theorem, and Berry phase.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Holonomy, the quantum adiabatic theorem, and Berry phase

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:46:23.377688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation fd690a03-221f-4ec6-b103-42023aa7043b · outbound

This paper cites Classification of topological insulators and superconductors in three spatial dimensions.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Classification of topological insulators and superconductors in three spatial dimensions

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:46:23.165659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0acc54f9-71d4-4d35-aec3-84f51b62be67 · outbound

This paper cites an unresolved cited work.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:46:22.981094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a7b6c5b4-f53c-4d6a-9d22-7deb8168f3d0 · outbound

This paper cites Multicritical behavior in topological phase transitions.

Direct Measurement of Zak Phase and Higher Winding Numbers in an Electroacoustic Cavity System Multicritical behavior in topological phase transitions

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:46:22.796774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

No inbound Pith citation observations are available.