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Paper Citation Record · LEDGER

Second-Chern Bounds in Non-Abelian Quantum Geometry

As of 22 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 0 inbound Pith citation observations for arXiv:2608.12221.

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

pith.paper-citation-record.v1
2608.12221 v1

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:32:12.296665Z

measured 48 of 48 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

48 of 48 outbound references displayed

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  • verified fuzzy15
  • unresolved32
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 147aadaa-6043-4b02-a560-dd11c086e4cc · outbound

This paper cites Provost and G.

Second-Chern Bounds in Non-Abelian Quantum Geometry Provost and G

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 1c6e6c34-ce8e-414c-ba62-f813f9a7217a · outbound

This paper cites an unresolved cited work.

Second-Chern Bounds in Non-Abelian Quantum Geometry Unresolved cited work

Reference 2

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Observation faf4db18-f6e1-4d93-9e7b-f2b4626bd660 · outbound

This paper cites Anandan and Y.

Second-Chern Bounds in Non-Abelian Quantum Geometry Anandan and Y

Reference 3

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source=pdf_text observed=2026-08-16T00:32:12.142445Z digest=sha256:8ff075316af1102e8acee2524847479965c172edb32dfb777d500da9b40d2f68

Observation 23f2615b-aa4d-47cf-8d61-a85859854562 · outbound

This paper cites Xiao, M.-C.

Second-Chern Bounds in Non-Abelian Quantum Geometry Xiao, M.-C

Reference 4

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source=pdf_text observed=2026-08-16T00:32:12.146027Z digest=sha256:eaeb21b63028f3444a35673a0267b864bb94ebdc15b0bf10c3b2d7f3c7f573c3

Observation c9cddb32-1312-4b7e-987a-c627cd1ba3e5 · outbound

This paper cites an unresolved cited work.

Second-Chern Bounds in Non-Abelian Quantum Geometry Unresolved cited work

Reference 5

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source=pdf_text observed=2026-08-16T00:32:12.149618Z digest=sha256:e6fa99758fead24e20870f00e2bf2d96042bfc9b541bf2d59e1c18acc105dddc

Observation f7d275c8-ac5d-404a-89ef-78c9a5aad61c · outbound

This paper cites an unresolved cited work.

Second-Chern Bounds in Non-Abelian Quantum Geometry Unresolved cited work

Reference 6

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source=pdf_text observed=2026-08-16T00:32:12.152863Z digest=sha256:42fdbb9333f20b5f3649f13573a19aab3097a20d737ab42977a8326476d44a78

Observation f158ae7c-dcc1-47a3-9900-859227ded65f · outbound

This paper cites Brouder, G.

Second-Chern Bounds in Non-Abelian Quantum Geometry Brouder, G

Reference 7

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source=pdf_text observed=2026-08-16T00:32:12.156355Z digest=sha256:cf1069bede08002e5d8bb8b7456d331545bc3f36040f2768b8e55b76662b79bc

Observation dbfdfd36-efd8-4cc6-bea0-49497a894002 · outbound

This paper cites Marzari and D.

Second-Chern Bounds in Non-Abelian Quantum Geometry Marzari and D

Reference 8

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source=pdf_text observed=2026-08-16T00:32:12.159425Z digest=sha256:8552cf79c4fec5ca0bb0b2b8524932babc0e2209fb4b0830c50757005c01b7d6

Observation 4f003e2c-017f-4b7f-a8e5-9d418a7eeabc · outbound

This paper cites Resta and S.

Second-Chern Bounds in Non-Abelian Quantum Geometry Resta and S

Reference 9

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raw_fallback, observed 2026-08-16T00:32:12.673533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation d46e4034-a7ee-435c-b8fb-af17835ceb5f · outbound

This paper cites Souza, T.

Second-Chern Bounds in Non-Abelian Quantum Geometry Souza, T

Reference 10

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source=pdf_text observed=2026-08-16T00:32:12.165536Z digest=sha256:e2e5fe4b5ba86ab4d37b6ff8e6cce7f4b638c31b8a3595df6b1f72e9bee27a16

Observation 8e3eb3f5-5ad9-478f-80ff-eaa484b86213 · outbound

This paper cites Peotta and P.

Second-Chern Bounds in Non-Abelian Quantum Geometry Peotta and P

Reference 11

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source=pdf_text observed=2026-08-16T00:32:12.168757Z digest=sha256:d200b32a71ae8d6e38240231be2125e481144d4d5d5c6dea1968e2f3fcae7857

Observation 7a69acab-9460-473d-9acf-96b0a24071d9 · outbound

This paper cites Hazra, N.

Second-Chern Bounds in Non-Abelian Quantum Geometry Hazra, N

Reference 12

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source=pdf_text observed=2026-08-16T00:32:12.171942Z digest=sha256:d4d1f9a1eb0cbed43e9c099c316bf5c9c5cd6b1a2d9790e6146bd643380f897c

Observation 2e83f36d-fa2a-43e5-94bf-f6d5aea29211 · outbound

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

Second-Chern Bounds in Non-Abelian Quantum Geometry T¨ orm¨ a, Essay: Where can quantum geometry lead us?, Phys

Reference 13

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source=pdf_text observed=2026-08-16T00:32:12.175772Z digest=sha256:0b24ec36efbec7e91753188662cadc4d37d8182e7a8d2de0df420b5e6471d5e2

Observation 5bfd538f-97b1-48b3-81e7-f41898824ccf · outbound

This paper cites Roy, Band geometry of fractional topological insula- tors, Phys.

Second-Chern Bounds in Non-Abelian Quantum Geometry Roy, Band geometry of fractional topological insula- tors, Phys

Reference 14

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source=pdf_text observed=2026-08-16T00:32:12.178895Z digest=sha256:71b209fd03fa28ad801ff1483301c91fccdf98948c8f3afc6634e30d25e2d91a

Observation d2a1d6bc-60ec-4691-8c54-119d0c3e5df4 · outbound

This paper cites Mera and T.

Second-Chern Bounds in Non-Abelian Quantum Geometry Mera and T

Reference 15

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source=pdf_text observed=2026-08-16T00:32:12.182193Z digest=sha256:4341ba1190b36abc842d957cf216a746d763ffc79b9da583dedc37005b069187

Observation 61ff99c5-c731-4309-8637-519a20d8ed8d · outbound

This paper cites Liang, T.

Second-Chern Bounds in Non-Abelian Quantum Geometry Liang, T

Reference 16

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source=pdf_text observed=2026-08-16T00:32:12.185350Z digest=sha256:8ed17b48199b00c67e1a40fc213e408c834d428d9551b7c76fc946b57aa63816

Observation acc25e67-bb8e-4309-8ab6-112a3a8462c6 · outbound

This paper cites Onishi and L.

Second-Chern Bounds in Non-Abelian Quantum Geometry Onishi and L

Reference 17

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source=pdf_text observed=2026-08-16T00:32:12.188201Z digest=sha256:f57c1b813ef5ba6128232f8b0b261cb4935b8192ecde040a20b9cbc24f35f45a

Observation 31bfadce-4bae-4df6-be08-5031e59ef26c · outbound

This paper cites Claassen, C.

Second-Chern Bounds in Non-Abelian Quantum Geometry Claassen, C

Reference 18

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source=pdf_text observed=2026-08-16T00:32:12.191275Z digest=sha256:914795a6a02b59cb1f1a076f6c58e4b0c1ccdee63556863194a82a089deaa5e1

Observation 03e146a7-3198-475c-92f9-71f02726865f · outbound

This paper cites an unresolved cited work.

Second-Chern Bounds in Non-Abelian Quantum Geometry Unresolved cited work

Reference 19

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source=pdf_text observed=2026-08-16T00:32:12.195132Z digest=sha256:e3fbe1bfe26238922a40cb8971740bd7f18b43c3758401a27395ef395c31aa89

Observation 9fe13d53-f4b9-45a5-a721-f55bb012c644 · outbound

This paper cites an unresolved cited work.

Second-Chern Bounds in Non-Abelian Quantum Geometry Unresolved cited work

Reference 20

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source=pdf_text observed=2026-08-16T00:32:12.198910Z digest=sha256:1ee6515dbe29d0eefd7dc0239c411c6eff2c87119d57ec174bc24a0f0fd67c25

Observation e058fdba-ed7d-45d2-bfb3-e8cc851d7410 · outbound

This paper cites an unresolved cited work.

Second-Chern Bounds in Non-Abelian Quantum Geometry Unresolved cited work

Reference 21

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source=pdf_text observed=2026-08-16T00:32:12.202454Z digest=sha256:fb05a6839e6cddf4a0c1b5e683ce7b2a8a542a6428bb2643298340ed2ba0ce65

Observation b3f22de0-ed49-4c5b-bfb1-2e7205fe4603 · outbound

This paper cites Tarnopolsky, A.

Second-Chern Bounds in Non-Abelian Quantum Geometry Tarnopolsky, A

Reference 22

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source=pdf_text observed=2026-08-16T00:32:12.206008Z digest=sha256:a8c90a095d81125b4aca35fda0429c85147058ccec428d6eef2fbfc853324d3c

Observation e830ba85-b4e2-46df-a8a5-076eb50ebb47 · outbound

This paper cites Wilczek and A.

Second-Chern Bounds in Non-Abelian Quantum Geometry Wilczek and A

Reference 23

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source=pdf_text observed=2026-08-16T00:32:12.209599Z digest=sha256:bb3d5e84d732f9010a7f209fc233660c65c543400ead156c2cae9d510416c4b7

Observation e2e4fa75-a136-412e-b46b-0fd66927f531 · outbound

This paper cites an unresolved cited work.

Second-Chern Bounds in Non-Abelian Quantum Geometry Unresolved cited work

Reference 24

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation b820796a-9876-4460-871e-96e0621ac79b · outbound

This paper cites Zhang and J.

Second-Chern Bounds in Non-Abelian Quantum Geometry Zhang and J

Reference 25

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source=pdf_text observed=2026-08-16T00:32:12.216727Z digest=sha256:2ee5b598efc6f6ad616167e58fb3ea7d8596d2d98953011cc54b4ec875ba9cab

Observation 114c9341-0899-4be3-8c3f-b4b87da35c96 · outbound

This paper cites Li and C.

Second-Chern Bounds in Non-Abelian Quantum Geometry Li and C

Reference 26

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 68fb4a25-b02c-4b5e-8307-dfd5b81b9c82 · outbound

This paper cites Li, S.-C.

Second-Chern Bounds in Non-Abelian Quantum Geometry Li, S.-C

Reference 27

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 91a7fa03-c013-493a-979f-7c10b910a6d8 · outbound

This paper cites Kolodrubetz, Measuring the second chern number from nonadiabatic effects, Phys.

Second-Chern Bounds in Non-Abelian Quantum Geometry Kolodrubetz, Measuring the second chern number from nonadiabatic effects, Phys

Reference 28

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raw_fallback, observed 2026-08-16T00:32:12.533846Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T00:32:12.227992Z digest=sha256:8c43361f86b5d431e28ff60972d2cbcfb9b7eda8b3a9a75148b08945e190c145

Observation 4d8bf5ee-0876-4aa3-a253-e8bc0cc5bae5 · outbound

This paper cites Sugawa, F.

Second-Chern Bounds in Non-Abelian Quantum Geometry Sugawa, F

Reference 29

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T00:32:12.231857Z digest=sha256:b640509686e0eef92a82495723004a10e379602a7c641f2054f13ba8d59e6ae5

Observation 1c86aa63-da33-457d-878e-71950b5645a3 · outbound

This paper cites an unresolved cited work.

Second-Chern Bounds in Non-Abelian Quantum Geometry Unresolved cited work

Reference 30

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unresolved
raw_fallback, observed 2026-08-16T00:32:12.514316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T00:32:12.235301Z digest=sha256:5d50a782a06bf39d679791ce35d46c7a8c8ba28c1c3f981ecc44f57302f45532

Observation a4f6466f-f2b7-4c6e-bf34-aaa03e591963 · outbound

This paper cites Ding, Y.-Q.

Second-Chern Bounds in Non-Abelian Quantum Geometry Ding, Y.-Q

Reference 31

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T00:32:12.238752Z digest=sha256:03fe21df3e16d03f5f07a0b243d63e5ba5a9eac838ba9ceac9adc81ea2ab4b54

Observation 0ff1121b-cda6-4774-b442-217f9989cf69 · outbound

This paper cites an unresolved cited work.

Second-Chern Bounds in Non-Abelian Quantum Geometry Unresolved cited work

Reference 32

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unresolved
raw_fallback, observed 2026-08-16T00:32:12.495418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T00:32:12.242263Z digest=sha256:2b6fd12ebc0cb7187798776dde7dd4e6c6c09f618e450cd950219a8e50766059

Observation a445c097-defb-4453-8a56-baa88fbfe64f · outbound

This paper cites an unresolved cited work.

Second-Chern Bounds in Non-Abelian Quantum Geometry Unresolved cited work

Reference 33

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unresolved
raw_fallback, observed 2026-08-16T00:32:12.485888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T00:32:12.245923Z digest=sha256:f07ee474822568bc360f95d6086311b2ebcb421ed93a1cb873873704295fbe2a

Observation 814217ac-e84d-4932-a2b6-71a00a64f74f · outbound

This paper cites Mera and J.

Second-Chern Bounds in Non-Abelian Quantum Geometry Mera and J

Reference 34

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T00:32:12.249479Z digest=sha256:0869dbf513694fadf937eda2da125b065295080385bef28cffd7833674da4a92

Observation 287f526c-0894-44cc-b02f-2b87be0a1f41 · outbound

This paper cites Liu, X.-B.

Second-Chern Bounds in Non-Abelian Quantum Geometry Liu, X.-B

Reference 35

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T00:32:12.252834Z digest=sha256:4703743e977aa1d075a2b8ff1bfe91364b3f52446f81844842152dd08eab9bbc

Observation 1d952b93-c753-4652-b1b1-eb1ea042fc34 · outbound

This paper cites an unresolved cited work.

Second-Chern Bounds in Non-Abelian Quantum Geometry Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:32:12.458532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T00:32:12.256490Z digest=sha256:8a372a56c57dd58d5652f6a5d04acd9ba999deaf3920c3b0d8176ed9e9e45f6d

Observation a8fbd0aa-59be-4d3e-a64a-fee5961cf765 · outbound

This paper cites an unresolved cited work.

Second-Chern Bounds in Non-Abelian Quantum Geometry Unresolved cited work

Reference 37

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unresolved
raw_fallback, observed 2026-08-16T00:32:12.446367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T00:32:12.260575Z digest=sha256:6b12bd430abaec040a77c1abe4960bcccb6bf267d1ce59a0c81b136ae0caa0f1

Observation a9e63f87-34f1-493c-b614-878dfe1fe9dc · outbound

This paper cites an unresolved cited work.

Second-Chern Bounds in Non-Abelian Quantum Geometry Unresolved cited work

Reference 38

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no resolver link, observed 2026-08-16T00:32:12.264028Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T00:32:12.264028Z digest=sha256:3ca02ee77210934089f30b56c6971b8302576c6b1081fa9145e41fa14d2c6166

Observation 3edbe540-90c6-43e2-8e2f-399687bf7fe0 · outbound

This paper cites Hatsugai, Symmetry-protectedZ 2 quantization and quaternionic berry connection with kramers degeneracy, New J.

Second-Chern Bounds in Non-Abelian Quantum Geometry Hatsugai, Symmetry-protectedZ 2 quantization and quaternionic berry connection with kramers degeneracy, New J

Reference 39

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raw_fallback, observed 2026-08-16T00:32:12.428131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation fa3b6461-0270-4e57-b454-f6976288ad91 · outbound

This paper cites an unresolved cited work.

Second-Chern Bounds in Non-Abelian Quantum Geometry Unresolved cited work

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-16T00:32:12.270930Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 54311167-8ed2-4686-850e-b06d2c1a65ff · outbound

This paper cites Varjas, A.

Second-Chern Bounds in Non-Abelian Quantum Geometry Varjas, A

Reference 41

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 79244f9b-51be-40ca-aa8c-e557153d7789 · outbound

This paper cites Goerbig, From fractional chern insulators to a frac- tional quantum spin hall effect, The European Physical Journal B85, 1 (2012).

Second-Chern Bounds in Non-Abelian Quantum Geometry Goerbig, From fractional chern insulators to a frac- tional quantum spin hall effect, The European Physical Journal B85, 1 (2012)

Reference 42

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 0668d9d5-1f0b-49fc-a5e1-ae760733d15e · outbound

This paper cites an unresolved cited work.

Second-Chern Bounds in Non-Abelian Quantum Geometry Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:32:12.389324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation cbae5b43-b823-4ba3-8041-7c19d9d061d6 · outbound

This paper cites Tu,Differential Geometry: Connections, Curvature, and Characteristic Classes, Graduate Texts in Mathe- matics (Springer International Publishing, 2017).

Second-Chern Bounds in Non-Abelian Quantum Geometry Tu,Differential Geometry: Connections, Curvature, and Characteristic Classes, Graduate Texts in Mathe- matics (Springer International Publishing, 2017)

Reference 44

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation d5fb73ec-49ae-4725-80a0-5fdd1e51a38e · outbound

This paper cites Milnor and J.

Second-Chern Bounds in Non-Abelian Quantum Geometry Milnor and J

Reference 45

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation abf46071-28f2-4810-85a4-9272240d1818 · outbound

This paper cites Ballmann,Lectures on K¨ ahler manifolds, Vol.

Second-Chern Bounds in Non-Abelian Quantum Geometry Ballmann,Lectures on K¨ ahler manifolds, Vol

Reference 46

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 08b175ea-7ce5-4359-99d3-30cfed9de8e3 · outbound

This paper cites Liu, X.-T.

Second-Chern Bounds in Non-Abelian Quantum Geometry Liu, X.-T

Reference 47

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 22234671-2d57-4cf1-9d27-b0a027525019 · outbound

This paper cites Quaternion-Kahler geometry of time reversal symmetric crystals.

Second-Chern Bounds in Non-Abelian Quantum Geometry Quaternion-Kahler geometry of time reversal symmetric crystals

Reference 48

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Pith citing papers

No inbound Pith citation observations are available.