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Paper Citation Record · LEDGER

Orbital Embedding and the Physical Definition of Quantum Geometry

As of 8 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 1 inbound Pith citation observation for arXiv:2607.21882.

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

pith.paper-citation-record.v1
2607.21882 v1

Coverage vector

measured 53 of 53 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T06:33:34.333734Z

measured 54 of 54 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T00:24:14.214817Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-06T00:24:14.524913Z

Reference resolution

53 of 53 outbound references displayed

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  • verified fuzzy0
  • unresolved53
  • parse uncertain0
  • malformed identifier0
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External citation measurements

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Outbound references

Observation ce56f28d-6928-49db-a618-d217c22a3f86 · outbound

This paper cites Provost and G.

Orbital Embedding and the Physical Definition of Quantum Geometry Provost and G

Reference 1

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source=pdf_text observed=2026-08-01T06:33:28.061855Z digest=sha256:2b85e3065d4099f211e068cd08ff5fa0c79bc8f24b03e6bb3170e86c21046be1

Observation f8716252-2a4b-4824-a58b-bc4db96f8f74 · outbound

This paper cites an unresolved cited work.

Orbital Embedding and the Physical Definition of Quantum Geometry Unresolved cited work

Reference 2

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source=pdf_text observed=2026-08-01T06:33:28.158910Z digest=sha256:a21fb5fc9f4a7d5ff5be2e8d66cb7afd16818e8483373d6dbe228d5aadc515ac

Observation 12c4ad14-7a95-4c74-bcbf-5a5da4e22253 · outbound

This paper cites an unresolved cited work.

Orbital Embedding and the Physical Definition of Quantum Geometry Unresolved cited work

Reference 3

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source=pdf_text observed=2026-08-01T06:33:28.273500Z digest=sha256:c3e0c33a70dc874494be951864482a832144dbb725444b1b04948369dbd37d9a

Observation bb3dabe5-4f5a-4dda-b46c-294b6c609836 · outbound

This paper cites Quantum Geometry Phenomena in Condensed Matter Systems.

Orbital Embedding and the Physical Definition of Quantum Geometry Quantum Geometry Phenomena in Condensed Matter Systems

Reference 4

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source=pdf_text observed=2026-08-01T06:33:28.361478Z digest=sha256:8a62e207ab59106c448b4fa2868e951a5a8310c439f7890bc8486a78681d5a45

Observation 51b4719e-d90d-4700-96a3-da3a1270694c · outbound

This paper cites T ¨orm¨a, S.

Orbital Embedding and the Physical Definition of Quantum Geometry T ¨orm¨a, S

Reference 5

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source=pdf_text observed=2026-08-01T06:33:28.466342Z digest=sha256:8a4dbb371b5682e666afff742aa73b798f8757861815a40e26371d3771a0dde0

Observation cd602e85-c88b-4300-923e-c72cc05d503b · outbound

This paper cites an unresolved cited work.

Orbital Embedding and the Physical Definition of Quantum Geometry Unresolved cited work

Reference 6

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source=pdf_text observed=2026-08-01T06:33:28.565758Z digest=sha256:ab15ad25143b95d1c09a2b3beba61e2895f6e408cf3a11b41967971e3527743a

Observation fceced15-c7db-4728-b01c-cdb90f891faf · outbound

This paper cites T ¨orm¨a, Essay: Where can quantum geometry lead us?, Phys.

Orbital Embedding and the Physical Definition of Quantum Geometry T ¨orm¨a, Essay: Where can quantum geometry lead us?, Phys

Reference 7

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source=pdf_text observed=2026-08-01T06:33:28.670045Z digest=sha256:2556ff054ec5b0a11881d6d02cd4f76412ae548efeb12bf001690cde8cd3c214

Observation 2adc7511-1b86-48f8-aab4-771afe189f2e · outbound

This paper cites Nagaosa, J.

Orbital Embedding and the Physical Definition of Quantum Geometry Nagaosa, J

Reference 8

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source=pdf_text observed=2026-08-01T06:33:28.780989Z digest=sha256:daf8cf82991d2473cbdbcc49918b2f91ba22d9a56dfc598c744f8d69d1ee0450

Observation 923edca9-7889-4c70-81be-b323f49ba6d9 · outbound

This paper cites Xiao, M.-C.

Orbital Embedding and the Physical Definition of Quantum Geometry Xiao, M.-C

Reference 9

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source=pdf_text observed=2026-08-01T06:33:28.900248Z digest=sha256:f8fd13514d29bf911062646b65660c1024ecf07cc90aa33575509047c21554bd

Observation 42a3ff8b-d165-402c-85b7-ef1e168c1449 · outbound

This paper cites Oh, S.-W.

Orbital Embedding and the Physical Definition of Quantum Geometry Oh, S.-W

Reference 10

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source=pdf_text observed=2026-08-01T06:33:28.981225Z digest=sha256:8bb519eb03638595d369aca7dffacd0a665452f361a71501e0bc08c51d7ec392

Observation cc251ed1-ab89-459d-809c-34b25d7aae79 · outbound

This paper cites Color and Transparency from Quantum Geometry.

Orbital Embedding and the Physical Definition of Quantum Geometry Color and Transparency from Quantum Geometry

Reference 11

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source=pdf_text observed=2026-08-01T06:33:29.073017Z digest=sha256:1d7fea615e29be6bb76e40fc733377a2aed43f33bb577f73f9524a2223c9ea20

Observation 19558ef9-273f-4317-9e27-8d41d922b296 · outbound

This paper cites Ezawa, Analytic approach to quantum metric and optical conductivity in dirac models with parabolic mass in arbitrary dimensions, Physical Review B110, 195437 (2024).

Orbital Embedding and the Physical Definition of Quantum Geometry Ezawa, Analytic approach to quantum metric and optical conductivity in dirac models with parabolic mass in arbitrary dimensions, Physical Review B110, 195437 (2024)

Reference 12

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source=pdf_text observed=2026-08-01T06:33:29.161293Z digest=sha256:ed431c7bb336732d03c8ad82a805de9ae46199c1855cd0745560e6f6d7a1e2ff

Observation 5afb0b37-b283-48b1-b766-5ad146e31f98 · outbound

This paper cites an unresolved cited work.

Orbital Embedding and the Physical Definition of Quantum Geometry Unresolved cited work

Reference 13

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source=pdf_text observed=2026-08-01T06:33:29.236989Z digest=sha256:bdd5bd123c7b6a265907584fd4d3ddf1384d21c0d43a9ba41bb690796d1a81c3

Observation eecf3716-b928-4e59-ba3a-3e0b39606940 · outbound

This paper cites Gao, Y .-F.

Orbital Embedding and the Physical Definition of Quantum Geometry Gao, Y .-F

Reference 14

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source=pdf_text observed=2026-08-01T06:33:29.327891Z digest=sha256:0e3d346a22ecf4e7c354c2e814dd85d355a7e91567a8f69f8ef932e19fa1c383

Observation ac4126d0-42bd-42d8-9d65-b6d874c4f01b · outbound

This paper cites an unresolved cited work.

Orbital Embedding and the Physical Definition of Quantum Geometry Unresolved cited work

Reference 15

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source=pdf_text observed=2026-08-01T06:33:29.441226Z digest=sha256:06e5aaeb0a880bf532bc4cab36b053dd73c52e5c054cad706f68b47822a11ff9

Observation 5c342862-f7d2-44e2-9f26-0abb7de269e7 · outbound

This paper cites Mitscherling and T.

Orbital Embedding and the Physical Definition of Quantum Geometry Mitscherling and T

Reference 16

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source=pdf_text observed=2026-08-01T06:33:29.550542Z digest=sha256:e37b6f9ad9bf39c4198e9629dadccd65e0a5c0d64ab30f6a4022773f289f95c9

Observation a309d31e-d226-407a-850f-4aa405ff8e6a · outbound

This paper cites Huhtinen and P.

Orbital Embedding and the Physical Definition of Quantum Geometry Huhtinen and P

Reference 17

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source=pdf_text observed=2026-08-01T06:33:29.666515Z digest=sha256:f8c94e1e7fba3ffe35949b7ce5cd89d7ba1fd3df52fed4a9575beae4dd8db863

Observation 871bb924-69dd-49dd-a167-36cb8d0eda08 · outbound

This paper cites Ghosh, Y.

Orbital Embedding and the Physical Definition of Quantum Geometry Ghosh, Y

Reference 18

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source=pdf_text observed=2026-08-01T06:33:29.801624Z digest=sha256:dafb4d7357b1e10d9944d771982dc7ba9283b71de4f97479cc2ce42ac975623e

Observation e7810183-8fb9-4ac3-9a6f-42d67aa62dd1 · outbound

This paper cites Neupert, C.

Orbital Embedding and the Physical Definition of Quantum Geometry Neupert, C

Reference 19

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source=pdf_text observed=2026-08-01T06:33:29.891472Z digest=sha256:ab5f2d89f4b7ad2f1639e4d887f47525ad9fee3b4909bcb1c932ded1577027f9

Observation 9c816fd4-fb24-43e5-951c-508ec830de41 · outbound

This paper cites an unresolved cited work.

Orbital Embedding and the Physical Definition of Quantum Geometry Unresolved cited work

Reference 20

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source=pdf_text observed=2026-08-01T06:33:29.969656Z digest=sha256:d3c3f12c86d8cdaef19111b04c9bfa872a08dff42c5b9f097045f8250b26fa35

Observation d0a3f129-f12c-4ac5-8317-5bccda53dd8a · outbound

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Orbital Embedding and the Physical Definition of Quantum Geometry Unresolved cited work

Reference 21

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source=pdf_text observed=2026-08-01T06:33:30.077221Z digest=sha256:80782ac3cb37c258693b93054beed2071bbc08f896ae7f2abe46a3aa7c84f424

Observation 316b8cf9-3b47-4959-be33-56c7c3dba66f · outbound

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Orbital Embedding and the Physical Definition of Quantum Geometry Unresolved cited work

Reference 22

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source=pdf_text observed=2026-08-01T06:33:30.151612Z digest=sha256:12c2ffe9f275c8b315c456b29d9236583772bb1907d355c434ddf8d27fd725ef

Observation 7a86d157-13c7-4db6-aa6b-48a3da3cfe48 · outbound

This paper cites Han, J.-W.

Orbital Embedding and the Physical Definition of Quantum Geometry Han, J.-W

Reference 23

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source=pdf_text observed=2026-08-01T06:33:30.244895Z digest=sha256:aff52b1d877873e2b601d27fe8d381b0fd4d38ab4752a9b0f7f97edb8ae1c451

Observation e3ec9ef3-fcab-478c-9e62-60965be785a0 · outbound

This paper cites Peotta and P.

Orbital Embedding and the Physical Definition of Quantum Geometry Peotta and P

Reference 24

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source=pdf_text observed=2026-08-01T06:33:30.363405Z digest=sha256:3fa449c020a72babb543ee08b100dd2627bb3a56331611068690b46029f92cc7

Observation a160c457-1a41-41b6-8811-12848ef75a03 · outbound

This paper cites Liang, T.

Orbital Embedding and the Physical Definition of Quantum Geometry Liang, T

Reference 25

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source=pdf_text observed=2026-08-01T06:33:30.448326Z digest=sha256:46f9de12b634218d0a2f273c0d718370b78f9cb2c2e152290299ec1e3403e3ef

Observation b3d474ab-9a76-4cc1-b205-cd38248a25c2 · outbound

This paper cites an unresolved cited work.

Orbital Embedding and the Physical Definition of Quantum Geometry Unresolved cited work

Reference 26

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source=pdf_text observed=2026-08-01T06:33:30.554733Z digest=sha256:813faffefcf401e8f01cbb33d5e0aeabfb98bb8370b57ca22e520aef124e92de

Observation a6f27c55-e6fd-464d-9e93-87ae59c503a7 · outbound

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Orbital Embedding and the Physical Definition of Quantum Geometry Unresolved cited work

Reference 27

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source=pdf_text observed=2026-08-01T06:33:30.696766Z digest=sha256:ea31390a3eb292a0e313bd220645b1a138bc0b556d83dee73dfc713abaa4c6b9

Observation ac7660fc-1430-4b20-8ccd-6fc9fc9bac11 · outbound

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Orbital Embedding and the Physical Definition of Quantum Geometry Unresolved cited work

Reference 28

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source=pdf_text observed=2026-08-01T06:33:30.816505Z digest=sha256:5cfae6c151935d1099b8ebf2e20aa387cfd35dc064e6aeff075c3385d146c277

Observation 5c8196a7-7a12-468e-8ee8-212565b4a325 · outbound

This paper cites Oh, J.-W.

Orbital Embedding and the Physical Definition of Quantum Geometry Oh, J.-W

Reference 29

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source=pdf_text observed=2026-08-01T06:33:30.992478Z digest=sha256:fbf403a3ff38307fb3eb872583cc6ee3b0dafdead65dd13e731d06edfd8196a7

Observation 1b094f66-242f-438f-a047-78dc5b276e20 · outbound

This paper cites Hwang, J.-W.

Orbital Embedding and the Physical Definition of Quantum Geometry Hwang, J.-W

Reference 30

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source=pdf_text observed=2026-08-01T06:33:31.125156Z digest=sha256:764d80907c0bf1bb188e820984082c74aabbd590e93a31e3b3a6c7c2f5d3314a

Observation dd102c0c-aabf-44aa-8d33-aabc3b837b3c · outbound

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Orbital Embedding and the Physical Definition of Quantum Geometry Unresolved cited work

Reference 31

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source=pdf_text observed=2026-08-01T06:33:31.311253Z digest=sha256:f31eb51c626cc3cf8da33d6460dc44522e2e76067cbee6afa6e7261fdbd80668

Observation 1c6f099a-cdc4-4dcc-acde-7b84e98fd7eb · outbound

This paper cites Kitamura, A.

Orbital Embedding and the Physical Definition of Quantum Geometry Kitamura, A

Reference 32

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source=pdf_text observed=2026-08-01T06:33:31.500788Z digest=sha256:2b9f00ef1014c18303947ec46097907d4e7b9aa7baf2d55f4fb220a4a0559537

Observation 16614823-f60e-417f-9a7b-3e3b506e046e · outbound

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Orbital Embedding and the Physical Definition of Quantum Geometry Unresolved cited work

Reference 33

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source=pdf_text observed=2026-08-01T06:33:31.694329Z digest=sha256:488d4b4011796da4a75c0e24246ea1eab15bb19a1fb7b0609205aa11ddd72c7a

Observation 654eff48-aaca-4e1b-af62-a35226039af3 · outbound

This paper cites Shimizu, C.-g.

Orbital Embedding and the Physical Definition of Quantum Geometry Shimizu, C.-g

Reference 34

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source=pdf_text observed=2026-08-01T06:33:31.798482Z digest=sha256:6ad844072feee1817183abe3fdd0b211d7460a83ceeeb45f44f97058625819ad

Observation 85d133ae-1e0a-436f-ba7d-df95195912c9 · outbound

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Orbital Embedding and the Physical Definition of Quantum Geometry Unresolved cited work

Reference 35

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source=pdf_text observed=2026-08-01T06:33:31.896244Z digest=sha256:afb78b427fba02a84eeb9cea46e73db9ac38c269d8be95612fde7730db7e0a4a

Observation 06b7a088-de75-4c63-9a1c-a2cb8f8cb6b5 · outbound

This paper cites Kim, C.-g.

Orbital Embedding and the Physical Definition of Quantum Geometry Kim, C.-g

Reference 36

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source=pdf_text observed=2026-08-01T06:33:31.975882Z digest=sha256:c5add41c3ba496d758e603b3b8dac0a6f5ec12bcc81b9d343f8c9a6befea726b

Observation 25f4cafe-e8e7-4eb3-8fa6-93d4e55fd888 · outbound

This paper cites an unresolved cited work.

Orbital Embedding and the Physical Definition of Quantum Geometry Unresolved cited work

Reference 37

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source=pdf_text observed=2026-08-01T06:33:32.053212Z digest=sha256:8dc949f26aa83afc46c9128157fbb51122c480df8ae44bcbeff64d64611bf42e

Observation 6ab6e4ff-de5f-4e03-b6e5-d17db8c04b5e · outbound

This paper cites Komissarov, T.

Orbital Embedding and the Physical Definition of Quantum Geometry Komissarov, T

Reference 38

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source=pdf_text observed=2026-08-01T06:33:32.128075Z digest=sha256:9d39bffb4da6082d49e4b49a35926f686fc9d9645985fc0ebe0518ad772c36dd

Observation 31520284-786b-4dd5-bc8a-50bf04555da1 · outbound

This paper cites an unresolved cited work.

Orbital Embedding and the Physical Definition of Quantum Geometry Unresolved cited work

Reference 39

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source=pdf_text observed=2026-08-01T06:33:32.249050Z digest=sha256:fab52a1b95765a605a907d36a976ff546979188119ac822bba6457e59b922a92

Observation 80da82fd-022e-47f8-b5e8-7fe9bc5ba156 · outbound

This paper cites Modern Approach to Orbital Hall Effect Based on Wannier Picture of Solids.

Orbital Embedding and the Physical Definition of Quantum Geometry Modern Approach to Orbital Hall Effect Based on Wannier Picture of Solids

Reference 40

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source=pdf_text observed=2026-08-01T06:33:32.398332Z digest=sha256:799162d26a3eb5ce58899e21aa383445a9407384af201550115cc764a6b31fa0

Observation 89c75377-85a7-452d-9db2-7496306a83f5 · outbound

This paper cites Anatomy of the modern theory of orbital magnetism from first-principles: term-by-term analysis in the gauge-covariant formalism.

Orbital Embedding and the Physical Definition of Quantum Geometry Anatomy of the modern theory of orbital magnetism from first-principles: term-by-term analysis in the gauge-covariant formalism

Reference 41

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Observation 17bfa627-adfc-4ba6-b536-f4fbfd8c2fa3 · outbound

This paper cites an unresolved cited work.

Orbital Embedding and the Physical Definition of Quantum Geometry Unresolved cited work

Reference 42

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source=pdf_text observed=2026-08-01T06:33:32.702247Z digest=sha256:4e314aae8b8a37f2b028453ff459d53bd5e54b2e7c6a0a28f5cfd1b70cc86ea4

Observation 8efbc969-8ad4-4a29-9ed8-c7d507abef15 · outbound

This paper cites Marzari and D.

Orbital Embedding and the Physical Definition of Quantum Geometry Marzari and D

Reference 43

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no resolver link, observed 2026-08-01T06:33:32.839620Z

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source=pdf_text observed=2026-08-01T06:33:32.839620Z digest=sha256:adae8c558421615c84ad1afaba652afa66504549e12d675cb5279df076b61783

Observation a5424897-9a2d-42cc-9e0b-1388d816f6b9 · outbound

This paper cites an unresolved cited work.

Orbital Embedding and the Physical Definition of Quantum Geometry Unresolved cited work

Reference 44

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source=pdf_text observed=2026-08-01T06:33:32.995848Z digest=sha256:ca20168a71217e4000ef931d70550f8dcdc302815342244e8094acc6769822cb

Observation 3cb4dc52-29eb-4a6d-8b8e-b6b9db75ba49 · outbound

This paper cites an unresolved cited work.

Orbital Embedding and the Physical Definition of Quantum Geometry Unresolved cited work

Reference 45

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no resolver link, observed 2026-08-01T06:33:33.121306Z

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source=pdf_text observed=2026-08-01T06:33:33.121306Z digest=sha256:6e5b5fb6e7118059f748090c18e6d28fa1de5b9275dace979d8d31c89edb9280

Observation dca87aa1-29d0-4262-999e-4d7a2b26cb09 · outbound

This paper cites Zeng, W.-X.

Orbital Embedding and the Physical Definition of Quantum Geometry Zeng, W.-X

Reference 46

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source=pdf_text observed=2026-08-01T06:33:33.262184Z digest=sha256:e90640b578f6ccb95fca362aa09dd5e95414c5713e191ef6f17905d40a5e76fd

Observation d81ccefb-b75b-47dd-83be-12f0c6e58f70 · outbound

This paper cites an unresolved cited work.

Orbital Embedding and the Physical Definition of Quantum Geometry Unresolved cited work

Reference 47

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no resolver link, observed 2026-08-01T06:33:33.433504Z

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source=pdf_text observed=2026-08-01T06:33:33.433504Z digest=sha256:6be3ce7cfa83f8978f6de25c2877555071a3b5acf11eccffac738bdb1a5701ae

Observation 40418fae-253b-4fd9-80e0-f7ae9699ca8a · outbound

This paper cites Terada, S.

Orbital Embedding and the Physical Definition of Quantum Geometry Terada, S

Reference 48

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source=pdf_text observed=2026-08-01T06:33:33.587133Z digest=sha256:77770aed794a1bc8e2e0968cb7c49794fa095c11f7f17b98ee6fc84472cb3db0

Observation 4d77d403-ca5c-4803-9713-ea586200059d · outbound

This paper cites an unresolved cited work.

Orbital Embedding and the Physical Definition of Quantum Geometry Unresolved cited work

Reference 49

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no resolver link, observed 2026-08-01T06:33:33.747751Z

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source=pdf_text observed=2026-08-01T06:33:33.747751Z digest=sha256:a13b52186872d32f62a92ded4d94cfca013babc378c7dc0ad52da588f2efae9f

Observation 7460fdab-9a8f-417d-a945-cd957e522c30 · outbound

This paper cites Ventura, D.

Orbital Embedding and the Physical Definition of Quantum Geometry Ventura, D

Reference 50

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source=pdf_text observed=2026-08-01T06:33:33.940053Z digest=sha256:8fff89533c76b1d3181f9b43073019322f17e1a3de1ad687067b8a77124254d8

Observation 54c82a3b-ffa5-4d0a-8970-3f7aca012e7e · outbound

This paper cites Resta, Quantum-mechanical position operator in extended systems, Physical Review Letters80, 1800 (1998).

Orbital Embedding and the Physical Definition of Quantum Geometry Resta, Quantum-mechanical position operator in extended systems, Physical Review Letters80, 1800 (1998)

Reference 51

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no resolver link, observed 2026-08-01T06:33:34.157918Z

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source=pdf_text observed=2026-08-01T06:33:34.157918Z digest=sha256:5f750fa984abc0544260a44ef05bfa8f7968cf59d93b8099564430787921c073

Observation 9f865f08-47ca-46fd-bb28-2ed11cc1f66f · outbound

This paper cites Resta, Macroscopic polarization in crystalline dielectrics: the geometric phase approach, Reviews of modern physics66, 899 (1994).

Orbital Embedding and the Physical Definition of Quantum Geometry Resta, Macroscopic polarization in crystalline dielectrics: the geometric phase approach, Reviews of modern physics66, 899 (1994)

Reference 52

Resolution
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no resolver link, observed 2026-08-01T06:33:34.223686Z

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source=pdf_text observed=2026-08-01T06:33:34.223686Z digest=sha256:25142b9fd2be4ec044921f75d7f30847a39793c7790b6c819cc1b6827866f32d

Observation 8c0d2dc4-66f4-40e1-9aae-71a12683d7d4 · outbound

This paper cites an unresolved cited work.

Orbital Embedding and the Physical Definition of Quantum Geometry Unresolved cited work

Reference 53

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source=pdf_text observed=2026-08-01T06:33:34.333734Z digest=sha256:518392bd4c2e86f033f1c12bab34d2a7e4cfc6203e3c515790b088849fcc7b96

Pith citing papers

Observation ff64033d-7565-4af9-9904-31bc14cdeca6 · inbound

Quantum geometry and RKKY in flat bands cites this paper.

Quantum geometry and RKKY in flat bands Orbital Embedding and the Physical Definition of Quantum Geometry

Reference 49

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local_arxiv, observed 2026-08-06T00:24:14.734947Z

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

source=pdf_text observed=2026-08-06T00:24:14.214817Z digest=sha256:9f2985a6663e3bb4bec9b6a9c617a79d4c96710c300a191ef82d2c0af3f43f9e