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Paper Citation Record · LEDGER

Symmetry and Quantum Geometry in Bloch Bands

As of 10 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2607.21581.

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

pith.paper-citation-record.v1
2607.21581 v1

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T07:12:41.816919Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

45 of 45 outbound references displayed

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External citation measurements

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Outbound references

Observation 4fb9709a-af7f-4cf0-8f6d-2f98cd5664d7 · outbound

This paper cites equivalent.

Symmetry and Quantum Geometry in Bloch Bands equivalent

Reference 1

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source=pdf_text observed=2026-08-01T07:12:36.029594Z digest=sha256:38974c58da241ec2aa7edee95a0900434b4cfdbc215d7b0fba4b004eda21f689

Observation 5ae11be3-def5-43c5-baf7-1bbac21133cd · outbound

This paper cites doubled” version of the Hamiltonian with some “external field.

Symmetry and Quantum Geometry in Bloch Bands doubled” version of the Hamiltonian with some “external field

Reference 2

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source=pdf_text observed=2026-08-01T07:12:36.199955Z digest=sha256:75a5dbd2c02b4fa420e502922c096005c30aea826a30c75ce25eca9b6cbb81fc

Observation c4483541-6a81-4927-86c8-06d4d73c5845 · outbound

This paper cites an unresolved cited work.

Symmetry and Quantum Geometry in Bloch Bands Unresolved cited work

Reference 3

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source=pdf_text observed=2026-08-01T07:12:36.371372Z digest=sha256:c7249ebef32395071cb71362e52746dd954b9d87e7a1d4f8ed8e1246e28c0907

Observation 718d9c0a-b480-4a47-ad17-96ee68a3e93d · outbound

This paper cites Xiao, M.-C.

Symmetry and Quantum Geometry in Bloch Bands Xiao, M.-C

Reference 4

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source=pdf_text observed=2026-08-01T07:12:36.488429Z digest=sha256:b5ebd44a5b4be3129f6ab2fa5f32eee23e6b8ea291d668432eaa274ae25dae85

Observation e2aec95e-cb54-49ae-9917-6e8d618b3971 · outbound

This paper cites Vanderbilt,Berry Phases in Electronic Structure Theory: Electric Polarization, Orbital Magnetization and Topological Insulators(Cambridge University Press, Cambridge, 2018).

Symmetry and Quantum Geometry in Bloch Bands Vanderbilt,Berry Phases in Electronic Structure Theory: Electric Polarization, Orbital Magnetization and Topological Insulators(Cambridge University Press, Cambridge, 2018)

Reference 5

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source=pdf_text observed=2026-08-01T07:12:36.564355Z digest=sha256:9f6f25cc43ff727bf03201a98851fdfc7add0881b86542fef04fd22d6222883f

Observation be15148d-87a8-4eae-8927-5c5c3117e9c6 · outbound

This paper cites an unresolved cited work.

Symmetry and Quantum Geometry in Bloch Bands Unresolved cited work

Reference 6

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source=pdf_text observed=2026-08-01T07:12:36.677853Z digest=sha256:41a8b387a58542d9bb8fb5c9bbd2d51b204a5a581b36c87fc9911f1dcab558c1

Observation 12e8ca9b-7d62-428b-9375-f19900adc140 · outbound

This paper cites an unresolved cited work.

Symmetry and Quantum Geometry in Bloch Bands Unresolved cited work

Reference 7

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source=pdf_text observed=2026-08-01T07:12:36.829946Z digest=sha256:5f888d71fe9e022bd67daed9d858d4ae90fb7694cfe86361286e421706d09d98

Observation 5ef9c94c-b20b-40f2-ab31-8638d395128e · outbound

This paper cites an unresolved cited work.

Symmetry and Quantum Geometry in Bloch Bands Unresolved cited work

Reference 8

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source=pdf_text observed=2026-08-01T07:12:37.037076Z digest=sha256:ea989cb05cadb05840cb5fb2c2ff2c4dbbf93fbe517b28ced64bc986d08cdd45

Observation b46e4753-5ea0-4856-a8d1-bd116394d6d5 · outbound

This paper cites Murthy and R.

Symmetry and Quantum Geometry in Bloch Bands Murthy and R

Reference 9

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source=pdf_text observed=2026-08-01T07:12:37.101265Z digest=sha256:42b63551bf6845398082aee9623c39bb4fbead1df25220d466c559fd5764e0a7

Observation 5d9ad108-e260-4fe2-9767-e6647f654c6c · outbound

This paper cites Dobardžić, M.

Symmetry and Quantum Geometry in Bloch Bands Dobardžić, M

Reference 10

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source=pdf_text observed=2026-08-01T07:12:37.184372Z digest=sha256:c550246f6da6c5225600fa8282d95ed8d12e53ce880298f56a573017f2eb53f4

Observation d93a2c0f-5186-4b4e-be23-4ca62f167dec · outbound

This paper cites Claassen, C.

Symmetry and Quantum Geometry in Bloch Bands Claassen, C

Reference 11

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source=pdf_text observed=2026-08-01T07:12:37.264987Z digest=sha256:1a1af1cf18ee347b0845bbd269533bac2dba268421964caa4510fe40ca5e3d83

Observation a73cc312-ce53-43ab-81e4-762ccc4de30d · outbound

This paper cites an unresolved cited work.

Symmetry and Quantum Geometry in Bloch Bands Unresolved cited work

Reference 12

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source=pdf_text observed=2026-08-01T07:12:37.349730Z digest=sha256:16d20dcf27083c0987f54d6e0a1ddbec4637f3d731ea3181c43471260ae0385c

Observation ab29b00c-26c1-4970-b935-b944575f4967 · outbound

This paper cites Bauer, T.

Symmetry and Quantum Geometry in Bloch Bands Bauer, T

Reference 13

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source=pdf_text observed=2026-08-01T07:12:37.430968Z digest=sha256:cf5167ed99d26479a8fd7fea84fd7b805d4ec69b4f6d34c6543fac38d2ede00f

Observation e8d89d4c-9a81-4509-a6d1-ba8958c2f5bb · outbound

This paper cites an unresolved cited work.

Symmetry and Quantum Geometry in Bloch Bands Unresolved cited work

Reference 14

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source=pdf_text observed=2026-08-01T07:12:37.514754Z digest=sha256:df94e6a457be73ce925721e0f49a7f95a4929dd5a03fdeb40c36ed2f5ac9bb8f

Observation 1afe1d02-b993-4587-8b1c-9e3f4e98c048 · outbound

This paper cites Ozawa and B.

Symmetry and Quantum Geometry in Bloch Bands Ozawa and B

Reference 15

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source=pdf_text observed=2026-08-01T07:12:37.625194Z digest=sha256:b6c9e7ae3c2bb957a59c19aae29d6cb2bf9fdd47d18d675a658ccaa6ea0a4a2e

Observation ab1e3e1f-d7f8-4830-a87e-79c8035d2171 · outbound

This paper cites Mera and T.

Symmetry and Quantum Geometry in Bloch Bands Mera and T

Reference 16

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source=pdf_text observed=2026-08-01T07:12:37.678719Z digest=sha256:1dc240297d2aac31ca380fe7737684e187f6a5c28317ad60dbf96999bf24e17b

Observation 66481259-b9f4-427b-b1ea-b9bc4a81d62a · outbound

This paper cites an unresolved cited work.

Symmetry and Quantum Geometry in Bloch Bands Unresolved cited work

Reference 17

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source=pdf_text observed=2026-08-01T07:12:37.728160Z digest=sha256:91c9f98952d116460525ad59fd7174a74e004e1278f52eeb735f0d397f1d33f5

Observation 0b06db3f-f3d6-423e-b029-0c898ab14ed9 · outbound

This paper cites Roy, Band geometry of fractional topological insula- tors, Physical Review B90, 165139 (2014).

Symmetry and Quantum Geometry in Bloch Bands Roy, Band geometry of fractional topological insula- tors, Physical Review B90, 165139 (2014)

Reference 18

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source=pdf_text observed=2026-08-01T07:12:37.789160Z digest=sha256:9a6ca3b328e72450a183383ff9fef984157449bb7ed77da8721bd724ed6e7241

Observation 370b2b15-ed17-4592-a527-f6f97214cfc8 · outbound

This paper cites an unresolved cited work.

Symmetry and Quantum Geometry in Bloch Bands Unresolved cited work

Reference 19

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source=pdf_text observed=2026-08-01T07:12:37.839263Z digest=sha256:3c1b04081aa1692cb16188bd435e1ba0bd662d97fafee4639ae82777bb691ee3

Observation c92d64fc-917b-4f42-b733-23ca58826492 · outbound

This paper cites Mera and T.

Symmetry and Quantum Geometry in Bloch Bands Mera and T

Reference 20

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source=pdf_text observed=2026-08-01T07:12:37.851972Z digest=sha256:8cfd4a18077db817451f17518d473a5f2215b4f75d1eaa60950d570e03efdcb2

Observation f4bb0034-9868-41b9-9f67-509f805b6a46 · outbound

This paper cites Wang and Z.

Symmetry and Quantum Geometry in Bloch Bands Wang and Z

Reference 21

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source=pdf_text observed=2026-08-01T07:12:37.888193Z digest=sha256:9c1328e86e7f3bc30dd9e51228e4ebc7cdb344b5fadc042d6d93bff5f906c776

Observation 7cc280a4-2dfe-4a6a-9018-4ffcd4f640a8 · outbound

This paper cites an unresolved cited work.

Symmetry and Quantum Geometry in Bloch Bands Unresolved cited work

Reference 22

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source=pdf_text observed=2026-08-01T07:12:37.980722Z digest=sha256:dd946dc2545226c65fdb3a2e1e1d0624803296778dab6fdeed534d68f32c2266

Observation a1fd6e84-6650-4b62-a213-26de8d338c85 · outbound

This paper cites Mera and T.

Symmetry and Quantum Geometry in Bloch Bands Mera and T

Reference 23

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source=pdf_text observed=2026-08-01T07:12:38.071556Z digest=sha256:0cb1a6912f60babf80702eb93c097cde130bd69453ed97554af8ce9d5c275c03

Observation f129c460-46af-40e7-b852-1ebd9df26372 · outbound

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Symmetry and Quantum Geometry in Bloch Bands Unresolved cited work

Reference 24

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source=pdf_text observed=2026-08-01T07:12:38.153397Z digest=sha256:f0f2ac74d7be48f4cdf7de74ca4f3b7479dfdfae604f13bcb67605a1f6f61d29

Observation 5f91fa90-1699-4334-a4ed-501dd89ffd47 · outbound

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Symmetry and Quantum Geometry in Bloch Bands Unresolved cited work

Reference 25

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source=pdf_text observed=2026-08-01T07:12:38.320411Z digest=sha256:2006db85de503ef512b2c638992cc9333f166bcefbe81e5840d3cf6c8d0d2182

Observation c0eab3f0-d34d-4aa9-b0a4-ed682ce50883 · outbound

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Symmetry and Quantum Geometry in Bloch Bands Unresolved cited work

Reference 26

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source=pdf_text observed=2026-08-01T07:12:38.574039Z digest=sha256:30d113d9273c817bbe59b405bae6431f49f0fcb9e4e4db19e5e04221ffb5e0e2

Observation cace7da2-73b0-48fa-9df6-7451b075bbd2 · outbound

This paper cites Fujimoto, D.

Symmetry and Quantum Geometry in Bloch Bands Fujimoto, D

Reference 27

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source=pdf_text observed=2026-08-01T07:12:38.795489Z digest=sha256:50a07cdfc4f3fce7dd0dbc347e397b9afde2b4b9137e6a7387695f1b56f78f38

Observation 7e471bec-2b74-4cc2-ace6-675736e46eba · outbound

This paper cites Peotta and P.

Symmetry and Quantum Geometry in Bloch Bands Peotta and P

Reference 28

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source=pdf_text observed=2026-08-01T07:12:38.992105Z digest=sha256:fe17f464b9be876010a78259bf3637cf568b0b879f172cca706dfcb264148fa2

Observation b4db9271-a155-4f00-a2b4-f2508d035508 · outbound

This paper cites Julku, S.

Symmetry and Quantum Geometry in Bloch Bands Julku, S

Reference 29

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source=pdf_text observed=2026-08-01T07:12:39.199646Z digest=sha256:ac34478fe5549e167353b8e9cd1ef11177b1bd94bcc769b876f72729b3f84450

Observation 54cacb9a-4aa7-4227-8b46-3509bc571b58 · outbound

This paper cites Liang, T.

Symmetry and Quantum Geometry in Bloch Bands Liang, T

Reference 30

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source=pdf_text observed=2026-08-01T07:12:39.370144Z digest=sha256:b0557f2b06188d48a7ebdb537770186eaf1780bd270666d2b126312c35fb42a1

Observation 8128814f-53a3-473a-9411-133667d14e6c · outbound

This paper cites Herzog-Arbeitman, V.

Symmetry and Quantum Geometry in Bloch Bands Herzog-Arbeitman, V

Reference 31

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source=pdf_text observed=2026-08-01T07:12:39.550968Z digest=sha256:74172199b144411b58d33977bd2a1ba6314182e079e72b1e49733d4c50e07dec

Observation 03fd9f39-5afd-4403-9f33-29fadfa248d9 · outbound

This paper cites Huhtinen, J.

Symmetry and Quantum Geometry in Bloch Bands Huhtinen, J

Reference 32

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source=pdf_text observed=2026-08-01T07:12:39.801098Z digest=sha256:3f9032dc68ea752729300c3308cf6fd7e71433d0906584c9a9c6b48839eb09ae

Observation adb70393-9ce4-45b0-8284-3fe5f55fd69c · outbound

This paper cites Tam and S.

Symmetry and Quantum Geometry in Bloch Bands Tam and S

Reference 33

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source=pdf_text observed=2026-08-01T07:12:39.963829Z digest=sha256:a742f83530edba13b9c4119d63beebcc7df06ffebbe219b90d83e0715400d1bc

Observation ae90549f-7db5-4bd6-8329-9f271c8cb85b · outbound

This paper cites Marzari and D.

Symmetry and Quantum Geometry in Bloch Bands Marzari and D

Reference 34

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source=pdf_text observed=2026-08-01T07:12:40.130147Z digest=sha256:9b42c61850006cf3bcc0990a6ad8e67ebb612d989319171585bac2a99e1de79b

Observation a0b79a71-9b34-47c9-bf98-7fa35b4bb5a4 · outbound

This paper cites Fruchart, D.

Symmetry and Quantum Geometry in Bloch Bands Fruchart, D

Reference 35

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source=pdf_text observed=2026-08-01T07:12:40.263169Z digest=sha256:53adbacc0c1e5da4047a5285a8531bf2b3002112188f4a988a3c56242eb2b056

Observation 7424d56d-c424-424b-b973-629dae070207 · outbound

This paper cites Dobardžić, M.

Symmetry and Quantum Geometry in Bloch Bands Dobardžić, M

Reference 36

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source=pdf_text observed=2026-08-01T07:12:40.434584Z digest=sha256:7e05104d4ff9241efa3f7ddfbdc43ded3748a9ae08260ad034fcae803da1a88f

Observation 5c445f90-370a-4db3-9803-dc1090af1799 · outbound

This paper cites Lim, J.-N.

Symmetry and Quantum Geometry in Bloch Bands Lim, J.-N

Reference 37

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source=pdf_text observed=2026-08-01T07:12:40.529537Z digest=sha256:0a4e64fe144578158ddac92f6aa76e8ae7e3d816ac760754dc95c65817ea24f2

Observation 6ac6a663-33f1-46e1-a5b1-7d387555cf1a · outbound

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Symmetry and Quantum Geometry in Bloch Bands Unresolved cited work

Reference 38

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source=pdf_text observed=2026-08-01T07:12:40.689526Z digest=sha256:5de09b4b84dfc51849a68ac882ee74c0b12c08f214ff4ca541d5a229f5ee5f7f

Observation 2dff26d6-09c4-449e-9a0f-3f21eedccabf · outbound

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Symmetry and Quantum Geometry in Bloch Bands Unresolved cited work

Reference 39

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source=pdf_text observed=2026-08-01T07:12:40.814485Z digest=sha256:ace18489a1e24efd7e67ab921add44d28f9f1ff81dd141dd73e70b6ac6e54767

Observation 600fff3b-cc7e-4997-af35-5f0150c502ca · outbound

This paper cites Fuchs and F.

Symmetry and Quantum Geometry in Bloch Bands Fuchs and F

Reference 40

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source=pdf_text observed=2026-08-01T07:12:40.910071Z digest=sha256:96b907505c2a6d239b84aa2a400cddc776280000a172d61a146a72b18ae56ccb

Observation 52510d08-e10b-452f-bd2a-9236c217f194 · outbound

This paper cites Parity Anomaly.

Symmetry and Quantum Geometry in Bloch Bands Parity Anomaly

Reference 41

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source=pdf_text observed=2026-08-01T07:12:41.149606Z digest=sha256:f80ba488c0a49cd15538755dfa4cd1e97efafddfbd1d037211037d056954d2ca

Observation 2150b12f-cb95-422f-a67c-bd0d383b3fe7 · outbound

This paper cites Kapit and E.

Symmetry and Quantum Geometry in Bloch Bands Kapit and E

Reference 42

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source=pdf_text observed=2026-08-01T07:12:41.311631Z digest=sha256:76942354a3526597d9778068d3076d54c6de3bfeeaf0318deef7e28c1ead3729

Observation 86dd3be1-17aa-460d-8edd-e39ff93366ea · outbound

This paper cites Qi, Y.-S.

Symmetry and Quantum Geometry in Bloch Bands Qi, Y.-S

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-01T07:12:41.515830Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T07:12:41.515830Z digest=sha256:7179a720d2ebac361a980414a4bbe273d70bb3055b24ebeb4f38395acc8ac18f

Observation 9448d5cf-baeb-4a0c-a7f8-2681d8a98dcf · outbound

This paper cites Quantum-Geometric Design of Lattice Generalized Landau Levels.

Symmetry and Quantum Geometry in Bloch Bands Quantum-Geometric Design of Lattice Generalized Landau Levels

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-01T07:12:41.682133Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T07:12:41.682133Z digest=sha256:dadcba1a6d6bca0185f9367663aaf57cffbf50ef58dfd7dbf4b214439b5ae23b

Observation 26fa0c1b-315a-4826-8fea-113bdd266aba · outbound

This paper cites an unresolved cited work.

Symmetry and Quantum Geometry in Bloch Bands Unresolved cited work

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-01T07:12:41.816919Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T07:12:41.816919Z digest=sha256:07c067f792cddac48b23e5ac4b98d14efe6d98db7843cb02c1e378baa1c270cf

Pith citing papers

No inbound Pith citation observations are available.