Paper Citation Record · LEDGER

Dual Quantum Geometric Tensors and Local Topological Invariant

As of 5 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2604.09725.

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

pith.paper-citation-record.v1
2604.09725 v2

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-10T18:00:50.888011Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+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

40 of 40 outbound references displayed

verified exact0
verified fuzzy24
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2598bc06-9c99-4025-a295-64d488e5ad24 · outbound

This paper cites an unresolved cited work.

Dual Quantum Geometric Tensors and Local Topological Invariant Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-05-17T07:39:15.643532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 61a0c2a9-59e2-4484-b496-3d529f438e9e · outbound

This paper cites Qi and S.-C.

Dual Quantum Geometric Tensors and Local Topological Invariant Qi and S.-C

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T07:39:15.636673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation ae6d3c64-cceb-467f-ab09-2544ce0b9933 · outbound

This paper cites Bansil, Hsin Lin, and T.

Dual Quantum Geometric Tensors and Local Topological Invariant Bansil, Hsin Lin, and T

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T07:34:16.766794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 3b8062a9-de88-475d-99fb-4259f8b70926 · outbound

This paper cites an unresolved cited work.

Dual Quantum Geometric Tensors and Local Topological Invariant Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-05-17T07:34:16.771835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 03c4c937-6e86-470c-aef9-fe468d553665 · outbound

This paper cites Nakahara,Geometry, Topology and Physics(2nd ed.), (CRC Press, Boca Raton, 2003).

Dual Quantum Geometric Tensors and Local Topological Invariant Nakahara,Geometry, Topology and Physics(2nd ed.), (CRC Press, Boca Raton, 2003)

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T07:34:16.775733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation a1636fce-1138-4891-b663-070ff5f0b9d0 · outbound

This paper cites an unresolved cited work.

Dual Quantum Geometric Tensors and Local Topological Invariant Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-05-17T07:39:15.632057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 8a48df53-2a66-41b2-b562-1d0d212a1e62 · outbound

This paper cites Xiao, M.-C.

Dual Quantum Geometric Tensors and Local Topological Invariant Xiao, M.-C

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T07:39:15.651261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 93f510ec-5220-4462-90a3-bcb4b2dc5dbf · outbound

This paper cites Ahn, G.-Y.

Dual Quantum Geometric Tensors and Local Topological Invariant Ahn, G.-Y

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T07:34:16.687916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 3555c03d-9570-44b8-afd9-0e268e5f2088 · outbound

This paper cites Onishi and L.

Dual Quantum Geometric Tensors and Local Topological Invariant Onishi and L

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T07:34:16.759376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 94f1f4ea-9b77-4c85-b4ae-991fcbedfab8 · outbound

This paper cites an unresolved cited work.

Dual Quantum Geometric Tensors and Local Topological Invariant Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-05-17T07:34:16.762665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 7226c8b1-9c81-471f-8604-6cff8085d4a3 · outbound

This paper cites an unresolved cited work.

Dual Quantum Geometric Tensors and Local Topological Invariant Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-05-17T07:34:16.750860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 55b05818-1265-4ca6-9227-dc9866fd2b12 · outbound

This paper cites Liu, X.-B.

Dual Quantum Geometric Tensors and Local Topological Invariant Liu, X.-B

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T07:34:16.756222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 7cd833d7-aacc-44d8-9e87-03ba790dff12 · outbound

This paper cites Komissarov, T.

Dual Quantum Geometric Tensors and Local Topological Invariant Komissarov, T

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T07:34:16.753608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 79afc5c0-0dcb-41c8-9f19-61129d45e016 · outbound

This paper cites Xiang, B.

Dual Quantum Geometric Tensors and Local Topological Invariant Xiang, B

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T07:39:15.623849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 074dee13-92d5-470e-b446-acb60529ded9 · outbound

This paper cites Tokura and N.

Dual Quantum Geometric Tensors and Local Topological Invariant Tokura and N

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T07:34:16.741165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 593098c3-0eb9-4963-b13c-d3fe800556dc · outbound

This paper cites Holder, D.

Dual Quantum Geometric Tensors and Local Topological Invariant Holder, D

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T07:34:16.744021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation bd672393-47f0-41d3-95b5-15a7a4d4e539 · outbound

This paper cites Sodemann and L.

Dual Quantum Geometric Tensors and Local Topological Invariant Sodemann and L

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T07:39:15.613369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 33312e4e-5463-4090-a98b-dd8a490fd309 · outbound

This paper cites Ma, S.-Y.

Dual Quantum Geometric Tensors and Local Topological Invariant Ma, S.-Y

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T07:34:16.779446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 033c1d6e-8446-4bb6-a1cd-b4652849615c · outbound

This paper cites an unresolved cited work.

Dual Quantum Geometric Tensors and Local Topological Invariant Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-05-17T07:39:15.647482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation de0c3552-d902-4646-894b-00ec2b6f238e · outbound

This paper cites Zhang, X.-J.

Dual Quantum Geometric Tensors and Local Topological Invariant Zhang, X.-J

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T07:34:16.709399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation ac4759b8-ac71-4c15-a8e8-471f0e4cab97 · outbound

This paper cites an unresolved cited work.

Dual Quantum Geometric Tensors and Local Topological Invariant Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-05-17T07:34:16.715272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 5617b970-9679-48b0-b140-b033c5cda09e · outbound

This paper cites Kaplan, T.

Dual Quantum Geometric Tensors and Local Topological Invariant Kaplan, T

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T07:34:16.748097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 0651f8ec-f11a-44d2-bae4-b921e50f36bb · outbound

This paper cites an unresolved cited work.

Dual Quantum Geometric Tensors and Local Topological Invariant Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-05-17T07:34:16.703294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation c83c27b4-1951-414c-85a9-d837c75c4329 · outbound

This paper cites Gao, Y.-F.

Dual Quantum Geometric Tensors and Local Topological Invariant Gao, Y.-F

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T07:34:16.721049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 8efa4678-41ec-4607-a46a-a2a6fa7cb65d · outbound

This paper cites an unresolved cited work.

Dual Quantum Geometric Tensors and Local Topological Invariant Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-05-17T07:39:15.628184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation a8369dc0-560b-4935-971c-7ce6352059f4 · outbound

This paper cites an unresolved cited work.

Dual Quantum Geometric Tensors and Local Topological Invariant Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-05-17T07:34:16.700187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 6ff81d26-02c0-4005-b851-bd820911b83d · outbound

This paper cites an unresolved cited work.

Dual Quantum Geometric Tensors and Local Topological Invariant Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-05-17T07:34:16.706434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation dec1844b-054b-4386-8f0f-4a17f60e324a · outbound

This paper cites Xiang, J.

Dual Quantum Geometric Tensors and Local Topological Invariant Xiang, J

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T07:34:16.712308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 9834b114-e42e-4246-bf3c-36c5dd3a76d4 · outbound

This paper cites Zhong, J.

Dual Quantum Geometric Tensors and Local Topological Invariant Zhong, J

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T07:34:16.718115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation b9a819a9-ed55-4157-8763-669ff35f2524 · outbound

This paper cites Azizi, Hodge duals in spherical compactifications, Phys.

Dual Quantum Geometric Tensors and Local Topological Invariant Azizi, Hodge duals in spherical compactifications, Phys

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T07:34:16.724722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation b3a12601-dd6a-40c9-b46c-c31e2c0d2a45 · outbound

This paper cites Gustafsson, Vortex pairs and dipoles on closed sur- faces, J.

Dual Quantum Geometric Tensors and Local Topological Invariant Gustafsson, Vortex pairs and dipoles on closed sur- faces, J

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T07:34:16.691206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 23772fb5-521d-4999-9cd0-a7be4d6b59fb · outbound

This paper cites an unresolved cited work.

Dual Quantum Geometric Tensors and Local Topological Invariant Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-05-17T07:34:16.694213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 7e29d90f-8b30-4dbf-9923-3940eeff7ccd · outbound

This paper cites Montambaux, L.-K.

Dual Quantum Geometric Tensors and Local Topological Invariant Montambaux, L.-K

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T07:34:16.697165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 76b88724-4dfc-444e-b263-4180b4cc5bc3 · outbound

This paper cites Xiang, H.

Dual Quantum Geometric Tensors and Local Topological Invariant Xiang, H

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T07:34:16.727773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 81826bb6-7796-4d48-95cd-3f6c8d7d0851 · outbound

This paper cites Sinova, D.

Dual Quantum Geometric Tensors and Local Topological Invariant Sinova, D

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T07:34:16.730667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 5155310b-c7ac-4a43-abe5-f2d9ffd012da · outbound

This paper cites an unresolved cited work.

Dual Quantum Geometric Tensors and Local Topological Invariant Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-05-17T07:34:16.681866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation b0f6b1ce-dbbb-4830-932f-cc5c610de4ce · outbound

This paper cites an unresolved cited work.

Dual Quantum Geometric Tensors and Local Topological Invariant Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-05-17T07:34:16.676199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 813d6018-079e-4851-b761-46d37f12a268 · outbound

This paper cites Furukawa, Y.

Dual Quantum Geometric Tensors and Local Topological Invariant Furukawa, Y

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T07:34:16.678981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation dd79d695-f0c6-4d7f-8584-80b4236c07c1 · outbound

This paper cites an unresolved cited work.

Dual Quantum Geometric Tensors and Local Topological Invariant Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-05-17T07:34:16.684811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation f7dcec57-aa9f-4d9a-92dd-6506d4b82d53 · outbound

This paper cites an unresolved cited work.

Dual Quantum Geometric Tensors and Local Topological Invariant Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-05-17T07:34:16.738301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Pith citing papers

No inbound Pith citation observations are available.