Paper Citation Record · LEDGER

Edge-following topological states

As of 20 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:1908.09559.

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

pith.paper-citation-record.v1
1908.09559 v3

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:15:52.634152Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

33 of 33 outbound references displayed

verified exact2
verified fuzzy27
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ae14e5f4-b433-4359-a340-55b5f2fe7423 · outbound

This paper cites Bellissard.: K-theory of C∗-algebras in solid state physics.

Edge-following topological states Bellissard.: K-theory of C∗-algebras in solid state physics

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:15:53.292754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f4f73aa9-3143-4ba8-bbd6-6cc733d15ab3 · outbound

This paper cites Bellissard, A.

Edge-following topological states Bellissard, A

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:15:53.275629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 360ea4db-39fa-4c11-b337-1b8465e2cf5f · outbound

This paper cites Coburn, R.G.

Edge-following topological states Coburn, R.G

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:15:53.258601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f77379e3-450b-4e95-acfa-72a76482fdcb · outbound

This paper cites Connes.: Non-commutative diﬀerential geometry.

Edge-following topological states Connes.: Non-commutative diﬀerential geometry

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:15:53.241344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d3a6081e-ad32-439a-9421-f853c45c9be7 · outbound

This paper cites Cuntz.: Semigroup C∗-algebras and toric varieties.

Edge-following topological states Cuntz.: Semigroup C∗-algebras and toric varieties

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:15:53.216290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fe3a2df1-adf5-490b-b88e-07a5d4298c64 · outbound

This paper cites Ding et al.: Experimental Demonstration of Acoustic Chern Ins ulators.

Edge-following topological states Ding et al.: Experimental Demonstration of Acoustic Chern Ins ulators

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:15:53.195578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8a9db185-b1df-4c00-9323-da7fb508ad6b · outbound

This paper cites Douglas, R.

Edge-following topological states Douglas, R

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:15:53.177682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ccae19c2-ed4b-4aec-b48d-0f9c59e6c63c · outbound

This paper cites Fr¨ olich, G.M.

Edge-following topological states Fr¨ olich, G.M

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:15:53.161413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f664c8d7-d0b3-4029-9be3-b40953f17bb4 · outbound

This paper cites parity anomaly.

Edge-following topological states parity anomaly

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:15:53.142891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fb7a5ebb-f1ce-467d-b872-7393c83c042a · outbound

This paper cites Hayashi.: Topological invariants and corner states for Hamilt onians on a three-dimensional lattice.

Edge-following topological states Hayashi.: Topological invariants and corner states for Hamilt onians on a three-dimensional lattice

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:15:53.117307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2fd90d71-d320-4164-9e81-5c2b4801b510 · outbound

This paper cites Hayashi.: Toeplitz operators on concave corners and topolo gically pro- tected corner states.

Edge-following topological states Hayashi.: Toeplitz operators on concave corners and topolo gically pro- tected corner states

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:15:53.091878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 234471e5-ab7c-41c7-87c8-63768ec7904e · outbound

This paper cites an unresolved cited work.

Edge-following topological states Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:15:53.072675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7e1f993e-9d6d-4e97-bdf3-9ab15e1de073 · outbound

This paper cites Jiang.: On Fredholm operators in quarter-plane Toeplitz algeb ras.

Edge-following topological states Jiang.: On Fredholm operators in quarter-plane Toeplitz algeb ras

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:15:53.053660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6914f574-d0e6-402b-aad3-1a3db2a7369e · outbound

This paper cites Jotzu et al:.

Edge-following topological states Jotzu et al:

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:15:53.037180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d28ce5af-5f33-4301-99f4-1d41dc6db63b · outbound

This paper cites Kellendonk, T.

Edge-following topological states Kellendonk, T

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:15:53.017739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8b2b6ed1-a751-4538-84ac-dd6f5297fe3f · outbound

This paper cites Klembt et al.: Exciton-polariton topological insulator.

Edge-following topological states Klembt et al.: Exciton-polariton topological insulator

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:15:52.998728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4d1dda81-ca78-4d87-979c-8d0d9d1cb7ef · outbound

This paper cites Loring.: The torus and noncommutative topology.

Edge-following topological states Loring.: The torus and noncommutative topology

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:15:52.979323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a16b9860-5fe1-4c2d-93a9-5fffc3042789 · outbound

This paper cites an unresolved cited work.

Edge-following topological states Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:15:52.962081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6b04fecc-2dd1-4f31-aac0-891a935b14b1 · outbound

This paper cites Good Wannier bases in Hilbert modules associated to topological insulators.

Edge-following topological states Good Wannier bases in Hilbert modules associated to topological insulators

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:15:52.727001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3f24386a-9dbe-4e0e-a36b-5627ac09eb66 · outbound

This paper cites Cobordism invariance of topological edge-following states.

Edge-following topological states Cobordism invariance of topological edge-following states

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-14T11:15:52.567203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6413ee30-9dfc-4ad4-8117-b2daf7ef666d · outbound

This paper cites Topological phases on the hyperbolic plane: fractional bulk-boundary correspondence.

Edge-following topological states Topological phases on the hyperbolic plane: fractional bulk-boundary correspondence

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:15:52.679844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e1bd2d88-9324-4866-97df-58a313df0f0e · outbound

This paper cites Nash et al.: Topological mechanics of gyroscopic metamater ials.

Edge-following topological states Nash et al.: Topological mechanics of gyroscopic metamater ials

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:15:52.944995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b8f237a5-f9c1-4a4a-865a-8934258350d6 · outbound

This paper cites Neeb.: Toric varieties and algebraic monoids.

Edge-following topological states Neeb.: Toric varieties and algebraic monoids

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:15:52.928973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d8413c64-856c-4af0-9c75-14ea3d5da790 · outbound

This paper cites Park.: The index theory of Toeplitz operators on the skew qu arter-plane.

Edge-following topological states Park.: The index theory of Toeplitz operators on the skew qu arter-plane

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:15:52.911433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 77eb9625-748c-48a8-af9b-e3e558b1f17d · outbound

This paper cites Park.: Index theory and Toeplitz algebras on certain cones in Z2.

Edge-following topological states Park.: Index theory and Toeplitz algebras on certain cones in Z2

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:15:52.891283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ef4f5791-eb11-49d0-90ea-f53bd5d2902b · outbound

This paper cites an unresolved cited work.

Edge-following topological states Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:15:52.873178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e15ca803-353a-4313-aab6-e21558d3dd12 · outbound

This paper cites Prodan, H.

Edge-following topological states Prodan, H

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:15:52.855319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3e74daf4-d4f3-4cd1-9745-350d6656f2e5 · outbound

This paper cites Rechtsman et al.: Photonic Floquet topological insulators.

Edge-following topological states Rechtsman et al.: Photonic Floquet topological insulators

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:15:52.838723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b7cb1d21-b724-4385-9bee-04119fafa301 · outbound

This paper cites Roe.: Partitioning non-compact manifolds and the dual Toeplit z prob- lem.

Edge-following topological states Roe.: Partitioning non-compact manifolds and the dual Toeplit z prob- lem

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:15:52.819347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 085ddc3b-5530-4dcc-97bf-94a45e4807ed · outbound

This paper cites Rørdam, F.

Edge-following topological states Rørdam, F

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:15:52.800974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f551ca36-c27f-4e9b-9cfc-dcc46fc0a4b4 · outbound

This paper cites Rieﬀel.: C∗-algebras associated with irrational rotations.

Edge-following topological states Rieﬀel.: C∗-algebras associated with irrational rotations

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:15:52.780987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 994072b1-5d71-43be-830b-a44dbf8e586b · outbound

This paper cites S¨ usstrunk, S.D.

Edge-following topological states S¨ usstrunk, S.D

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:15:52.762235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7ad8653c-fdf7-4dfb-af36-a242d66fdb4f · outbound

This paper cites Wegge-Olsen.: K-theory and C∗-algebras: A Friendly Approach.

Edge-following topological states Wegge-Olsen.: K-theory and C∗-algebras: A Friendly Approach

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:15:52.744995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

No inbound Pith citation observations are available.