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Paper Citation Record · LEDGER

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases

As of 21 August 2026, this Paper Citation Record lists 59 of 59 outbound references and 0 inbound Pith citation observations for arXiv:2411.19287.

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

pith.paper-citation-record.v1
2411.19287 v1

Coverage vector

measured 59 of 59 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T10:25:52.076336Z

measured 59 of 59 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

59 of 59 outbound references displayed

  • verified exact0
  • verified fuzzy47
  • unresolved12
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 935c6029-0d88-47a9-bcf6-43da98d55ac3 · outbound

This paper cites an unresolved cited work.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Unresolved cited work

Reference 1

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation f5a9fdf1-af06-43d2-9706-83db68fffc32 · outbound

This paper cites an unresolved cited work.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Unresolved cited work

Reference 2

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raw_fallback, observed 2026-08-12T10:25:52.640325Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:51.898400Z digest=sha256:318e0da1009486fdcd831c46e356b611af348c569dad332acaaf49fa82f88bab

Observation af5e82f8-983c-4a9d-9053-ef4fb46c071f · outbound

This paper cites an unresolved cited work.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Unresolved cited work

Reference 3

Resolution
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raw_fallback, observed 2026-08-12T10:25:52.631528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation ae7e60b2-8a78-4b50-91c6-e4062f0391f2 · outbound

This paper cites Andrei Bernevig, Taylor L.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Andrei Bernevig, Taylor L

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.622306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:51.906142Z digest=sha256:e5cfa7f14dfaaa1a5dff80df229fffad781368e4939880ff2084519bc91d183e

Observation 825c2a8f-042d-4af7-adb1-21e5e252fa4d · outbound

This paper cites Molenkamp, Xiao-Liang Qi, and Shou-Cheng Zhang.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Molenkamp, Xiao-Liang Qi, and Shou-Cheng Zhang

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.613978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:51.909250Z digest=sha256:063036651b5e5692b5d2cd21b97eb6d7d43726721f74ab0b396ef4b949627768

Observation 1b4d5238-6e09-4480-9175-de54eab1aff2 · outbound

This paper cites an unresolved cited work.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Unresolved cited work

Reference 6

Resolution
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raw_fallback, observed 2026-08-12T10:25:52.604732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation e6a878c7-0258-4a10-9a1a-3d386237649a · outbound

This paper cites an unresolved cited work.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-12T10:25:52.596486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:51.916491Z digest=sha256:83a8565ac3e3d33af70bbbfd400b515b994db0c1556eb25e580d2ca0e373e255

Observation c642f220-66f7-4b74-8299-4a57e03bf078 · outbound

This paper cites Zirnbauer.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Zirnbauer

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.588499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:51.919744Z digest=sha256:cf42707f1d8cd68a9cd25a738717a9198e17fa1c269a8b5abeca59a44efccadd

Observation b94f5a68-fa9c-4d24-b107-e43760aa7de6 · outbound

This paper cites Schnyder, Shinsei Ryu, Akira Furusaki, and Andreas W.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Schnyder, Shinsei Ryu, Akira Furusaki, and Andreas W

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.578718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:51.922503Z digest=sha256:6c19faabb4615aeb9939b183bd724f2324a685d6e27d9a8d554ff913769558bc

Observation c7f43b21-6aa6-4488-927f-64c8d0096ad9 · outbound

This paper cites Periodic table for topological insu- lators and superconductors.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Periodic table for topological insu- lators and superconductors

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.568684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:51.926316Z digest=sha256:dcfaec81b48c839d0f521a3dd2b1d593314e64e563d2c23a5e67f129f4b11a9e

Observation 9ccc32a4-690e-458e-b7a0-53b615041bbd · outbound

This paper cites Topological insulators and superconductors: tenfold way and dimensional hierarchy.New Journal of Physics, 12(6):065010, June 2010.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Topological insulators and superconductors: tenfold way and dimensional hierarchy.New Journal of Physics, 12(6):065010, June 2010

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.560255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:51.929693Z digest=sha256:c439b28193572fe05310261d32a27678f8ed5e9ca8d119f8419bbe4143b3a179

Observation 0753f2a3-60b3-4d5e-9bd1-99d5b139a991 · outbound

This paper cites an unresolved cited work.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-12T10:25:52.550746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:51.933368Z digest=sha256:f2311996f26d0e9aae8fb1a1e5f57ca9d660a86022e39b916f75137283c08067

Observation 2927568c-6638-4cd1-bdaf-a2ee2312823a · outbound

This paper cites Tensor-entanglement-filtering renormalization approach and symmetry-protected topological order.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Tensor-entanglement-filtering renormalization approach and symmetry-protected topological order

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.540478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:51.936122Z digest=sha256:818d042c575fa9eaaa7660c4798f84f884f46bdf25fa1565b53e45df0a9889b4

Observation 92aa402e-8519-43be-9092-61272b369caa · outbound

This paper cites Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.530919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:51.939399Z digest=sha256:fcde61ad43037ecf9632c30cfbba42329138f260eab951b27ebf01a1cb8de4cc

Observation ca21c455-ffc9-496b-b396-bae3f074c15c · outbound

This paper cites Topological origin of zero-energy edge states in particle-hole symmetric systems.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Topological origin of zero-energy edge states in particle-hole symmetric systems

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.522092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:51.942266Z digest=sha256:48f425abd98802327b787cd346511cce02eb7232c03cabd43025c20e2220bd61

Observation 58152b1b-25ea-499d-8034-87927587a7fb · outbound

This paper cites an unresolved cited work.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-12T10:25:52.513695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:51.945250Z digest=sha256:377116eb4a38d76c5aeeac76011555b878349daddbb2a228cacf25afff0d09b4

Observation a073b3d3-12fa-4da6-aa80-c182a49ff659 · outbound

This paper cites Hatsugai.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Hatsugai

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.505454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:51.948197Z digest=sha256:23df83c4b810be4dc7cb37455c67fd2633b8ccd3c0bdfa7bf5bad8eea7207e81

Observation ebb2287b-02f1-4e42-9543-9383211bc650 · outbound

This paper cites an unresolved cited work.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-12T10:25:52.494781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:51.951384Z digest=sha256:ab910846c4553553c459cd73233f756152ebf79631dfabf1c4b2c559a9b3ba59

Observation 5a931be0-0aab-442a-943d-f01889a0dfd8 · outbound

This paper cites Delplace, D.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Delplace, D

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.484983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:51.954283Z digest=sha256:9d7c4b1df694960b865e86c7d4eec5d421cf2a51b31bce4673e0fce2f6c7ce2e

Observation 5bc27f14-6de3-4074-b00f-eef452afc77a · outbound

This paper cites Bulk-edge correspondence for two-dimensional topo- logical insulators.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Bulk-edge correspondence for two-dimensional topo- logical insulators

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.476022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:51.957257Z digest=sha256:c037428675aa1c52cf0287c80ee05e0c9682d502575ffacfaf6d869f79a3317c

Observation 12fc78b0-eea2-4572-812b-e90b6f751726 · outbound

This paper cites Asb´ oth, L´ aszl´ o Oroszl´ any, and Andr´ as P´ alyi.A Short Course on Topological Insulators.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Asb´ oth, L´ aszl´ o Oroszl´ any, and Andr´ as P´ alyi.A Short Course on Topological Insulators

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.467311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:51.960584Z digest=sha256:4873c30e9d11e209ff95ef55c16c4809452631614dc23e3009bf01cd5ae74f0e

Observation 142f6d22-a7ad-4fe4-8d6e-9999ce9d07f7 · outbound

This paper cites Boundary green functions of topological insulators and superconductors.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Boundary green functions of topological insulators and superconductors

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.458182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:51.963815Z digest=sha256:250a630ee52153f8a6f6d3f95992e59eefa536fe18afadd61bb4bc634b93d691

Observation 90f1d66c-0d4c-4725-af84-a3a6e81c196c · outbound

This paper cites Winding number and zak phase in multi-band ssh models.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Winding number and zak phase in multi-band ssh models

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.449127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:51.967555Z digest=sha256:847fc680f486689e7ec7a7fef2e0b1f921f38f7ecb2047582f7945a71f5ace41

Observation 8b257f5f-de08-47d4-b5b9-fd8770e982cf · outbound

This paper cites A linear algebra-based approach to understanding the relation between the winding number and zero-energy edge states.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases A linear algebra-based approach to understanding the relation between the winding number and zero-energy edge states

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.439567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:51.970260Z digest=sha256:4b8e145c5f3c3e4fac7b9d7da53748e6c61eff9a03713d79dabe7127da910232

Observation 0c11b3ce-bdd2-47c2-ad86-f92934f2217e · outbound

This paper cites Hughes, and Shou-Cheng Zhang.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Hughes, and Shou-Cheng Zhang

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.429786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:51.972957Z digest=sha256:336963f57b1d0d68bd3a8839d6c74eae12f102347d968aa005fceea45c81e917

Observation 666b555a-cb27-4d6b-8359-3f1dd6368eb8 · outbound

This paper cites Effects of interactions on the topological classification of free fermion systems.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Effects of interactions on the topological classification of free fermion systems

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.420630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:51.975596Z digest=sha256:d446bc5a8066642c1b320ac8e1b10a3a5680bc391f37d805921d25aa9816cfb8

Observation fb67fe75-8c26-4dee-b0eb-7069ead90b91 · outbound

This paper cites Interacting one-dimensional fermionic symmetry-protected topological phases.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Interacting one-dimensional fermionic symmetry-protected topological phases

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.411279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:51.978238Z digest=sha256:5bd4cab62298dbbdf3ceba0f7becc017793d0c318c352cf7cd14900102d32df1

Observation bc598318-10ac-4bdc-a4a1-dfbf0130e9f7 · outbound

This paper cites Effect of interactions on two-dimensional fermionic symmetry-protected topological phases with Z2 symmetry.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Effect of interactions on two-dimensional fermionic symmetry-protected topological phases with Z2 symmetry

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.401792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:51.981430Z digest=sha256:a068585730a4a5d866883a21d01982d461665a164b132ba48bb1d0ed2c985864

Observation 47bf6d3f-16fc-4aad-b5bd-8518c72cb5c3 · outbound

This paper cites Symmetry-protected topological states of interacting fermions and bosons.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Symmetry-protected topological states of interacting fermions and bosons

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.391319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:51.984955Z digest=sha256:f6d61275defcbe8599f23e5dddd97f8b6479a3533399c183b2ae745f35e2c1f3

Observation 38db39eb-21f6-4751-8ec3-c643c9faf8c1 · outbound

This paper cites Breakdown of the topological classification Z for gapped phases of noninteracting fermions by quartic interactions.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Breakdown of the topological classification Z for gapped phases of noninteracting fermions by quartic interactions

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.381990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:51.988034Z digest=sha256:0c56304ca88e2a6d6ef36310479bfd7f496ec536d2c7f45945e9e22250a7a658

Observation b6e739dc-c315-4d24-ae51-262b25d6e8e3 · outbound

This paper cites an unresolved cited work.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-12T10:25:52.372623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:51.990688Z digest=sha256:5a94a8c08fad093f3ab0a3bda3bcdd03433ddf49875207e4807f7e6ae5a04bbd

Observation 39be7bfb-e5d6-4139-b57b-30ac9cbf51b5 · outbound

This paper cites Topological crystalline insulators.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Topological crystalline insulators

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.363098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:51.993899Z digest=sha256:3cc19826eb81d04bbd8aa6f66aaa05aa427d79e9130c4a65b9c0ac6bbbf7a1fb

Observation ae5d6389-1ab0-410b-a73f-7cfd905e9dd5 · outbound

This paper cites Topological crystalline insulators and topological superconductors: From concepts to materials.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Topological crystalline insulators and topological superconductors: From concepts to materials

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.353308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:51.996617Z digest=sha256:547167f4fe40b7b1038f31ad89f7e40468a84deac722e6406aa40016f2501be4

Observation d671a897-ba0b-444f-bcd9-6b5e00873a07 · outbound

This paper cites Topological classification with additional symmetries from clifford algebras.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Topological classification with additional symmetries from clifford algebras

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.342294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:51.999256Z digest=sha256:a219623ff15247ddc186c4b714a59ac485d86ca2b9152b0a2cb36aaf8f6330e9

Observation 070cb8ac-2d2e-4609-b484-486a4fc7dccf · outbound

This paper cites Classification of topological insulators and su- perconductors in the presence of reflection symmetry.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Classification of topological insulators and su- perconductors in the presence of reflection symmetry

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.331438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:52.002523Z digest=sha256:5409a07de98e1f5af9235729a56c4a46d7f210e3e0ba1e367addab3c43edcbda

Observation abdad3f7-5691-42dc-8813-3fb48b7596de · outbound

This paper cites Schnyder.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Schnyder

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.321134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:52.005925Z digest=sha256:ddef241d3265379e71696be75262e92787897d0c0fce90a86ea333bebc4c5884

Observation cbf4522b-9f19-44d3-9f31-cf61d9c0c06b · outbound

This paper cites Topology of crystalline insulators and superconductors.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Topology of crystalline insulators and superconductors

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.311919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:52.008750Z digest=sha256:62129882634d80096ab7764e815fbe6dd737db6533d02b2b2fc07bffc428ce85

Observation 0cc2b382-fe4e-4ebc-a1d9-0baf608c8353 · outbound

This paper cites Classifying quantum phases using matrix product states and projected entangled pair states.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Classifying quantum phases using matrix product states and projected entangled pair states

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-12T10:25:52.011550Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T10:25:52.011550Z digest=sha256:542a624af651256c4718bb7ed7d4fd5a6bfce06b64fae87e2acad25a0c274a7f

Observation 50e3ad77-d00b-41dd-9a2a-f629892b3f87 · outbound

This paper cites Classification of gapped symmetric phases in one-dimensional spin systems.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Classification of gapped symmetric phases in one-dimensional spin systems

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.296692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:52.014830Z digest=sha256:9c3d6b4d0c652a10ea5e7875aafc76369ef0967977a35f42b36dd14aba4788e1

Observation 36891820-098a-4c72-b97b-50a086139df8 · outbound

This paper cites Complete classification of one-dimensional gapped quantum phases in interacting spin systems.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Complete classification of one-dimensional gapped quantum phases in interacting spin systems

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.286421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:52.017541Z digest=sha256:dfa537b42ba9000e2865bb11669bee6bc6e57d4ea9ca33481830fc404012c3a7

Observation 0f4f9d7e-f11c-4b42-bb91-4fa991cf6a44 · outbound

This paper cites an unresolved cited work.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-12T10:25:52.277067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:52.021146Z digest=sha256:c9935ef02218711070942491516fb6555544dcb6430ca7e5f9ec1096496f1c9b

Observation e971f329-5d57-4621-8eab-d1d414628922 · outbound

This paper cites Cpt theorem and classification of topological insulators and superconductors.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Cpt theorem and classification of topological insulators and superconductors

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.268486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:52.024371Z digest=sha256:33a215fdb31a86d983b623277059ec1b8bf285fdac1ccefdb0fa89f0d9c8e648

Observation f9b892c1-b6d7-4448-977b-c094ccf25923 · outbound

This paper cites Distinct trivial phases protected by a point-group symmetry in quantum spin chains.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Distinct trivial phases protected by a point-group symmetry in quantum spin chains

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.259490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:52.027522Z digest=sha256:dc442074cb144244b29836d9f7500b286542924b785582d98b804aab5b6dd2d5

Observation 6ed7db54-e4f9-46cc-9150-625e532208af · outbound

This paper cites Topological phases protected by reflection symmetry and cross-cap states.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Topological phases protected by reflection symmetry and cross-cap states

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.249617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:52.030877Z digest=sha256:11bd2684f10bb57cb9c74808a571aa1c8c7d9a5699bd3e642f021a39d8aaee94

Observation e417dfc7-35f8-442f-8c5c-00b0de90c7a3 · outbound

This paper cites Characterization and classi- fication of interacting (2 + 1)-dimensional topological crystalline insulators with orientation- preserving wallpaper groups.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Characterization and classi- fication of interacting (2 + 1)-dimensional topological crystalline insulators with orientation- preserving wallpaper groups

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.239894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:52.033718Z digest=sha256:11e2ccec59d54d7f23df76824ece668f5c9744a3267160a78ff3004fc265e7f4

Observation 3cd51b07-948f-48cd-bce9-cf73dc74bf0a · outbound

This paper cites Vector bundles and homogeneous spaces , page 196–222.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Vector bundles and homogeneous spaces , page 196–222

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.229870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:52.036398Z digest=sha256:35a3fdd73ba0568c83c982054a08cf28cb6f2a7774f1f335ce2bea7aefe404dc

Observation ba7fe808-2d28-4b01-9d1d-79dabdab24f8 · outbound

This paper cites Topological phases protected by point group symmetry.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Topological phases protected by point group symmetry

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.220507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:52.039458Z digest=sha256:8f85fc41cb77d9474d1eafdbc6cc97bead17790eae5b067aa10190fb83e9c4d8

Observation b597a690-e4f6-4dac-910c-749cff9242f4 · outbound

This paper cites Building crystalline topo- logical phases from lower-dimensional states.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Building crystalline topo- logical phases from lower-dimensional states

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.211741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:52.042740Z digest=sha256:af7799782dc73dbe5294b8f269d4877c702ea1eef5589f0f712624261ee0793d

Observation f24387d0-1d6b-4b39-875d-0dd7fe1f1af5 · outbound

This paper cites Real-space recipes for general topological crystalline states.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Real-space recipes for general topological crystalline states

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.202258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:52.046046Z digest=sha256:599659e2e08f628e7561f990e70f1084cd86438111e07631c5e8e518460c5565

Observation d46ef6c7-3ac1-4ab8-b051-b67d27e19a7f · outbound

This paper cites Rotation symmetry-protected topological phases of fermions.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Rotation symmetry-protected topological phases of fermions

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.192177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:52.049635Z digest=sha256:53beb03355a574aaa94db52ba13ca398358b3b9aa747381447e781d43d47d80f

Observation 2d81fcfa-3d5a-41a4-a056-38a676e3a112 · outbound

This paper cites Real-space construction of crys- talline topological superconductors and insulators in 2d interacting fermionic systems.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Real-space construction of crys- talline topological superconductors and insulators in 2d interacting fermionic systems

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.182528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:52.052618Z digest=sha256:1ac387045fcb7c1c6ba51f81914fc552555e3a43d64b088cff3e719e264a88f1

Observation 6d7c021e-80d3-484b-b2bc-9b97f684343f · outbound

This paper cites Construction and classification of crystalline topological superconductor and insulators in three-dimensional interacting fermion systems.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Construction and classification of crystalline topological superconductor and insulators in three-dimensional interacting fermion systems

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-12T10:25:52.056085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T10:25:52.056085Z digest=sha256:4d1fdbafe449ab62e6dd0af149dd07a4835ed4d9d52bb313fc5b5d86a517d089

Observation d917602e-6161-46d4-af58-7c777114ef71 · outbound

This paper cites Generalized homology and atiyah–hirzebruch spectral sequence in crystalline symmetry protected topological phenomena.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Generalized homology and atiyah–hirzebruch spectral sequence in crystalline symmetry protected topological phenomena

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.172704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:52.059374Z digest=sha256:73b9eb1a272940b5262830fea18306387e19d2a50e6bc2dbac9aa5f4fc193d7e

Observation b03835fa-7c6b-4692-a813-f6ee9ba0ebff · outbound

This paper cites Atiyah-hirzebruch spectral sequence in band topology: General formalism and topological invariants for 230 space groups.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Atiyah-hirzebruch spectral sequence in band topology: General formalism and topological invariants for 230 space groups

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.162291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:52.061939Z digest=sha256:cfae9b93e21a696eda839959d9a29d2d82054a430bc43a963e460b35181b0260

Observation ef271951-a8fe-4a85-92ef-9a46511c5264 · outbound

This paper cites Topological classification under nonmag- netic and magnetic point group symmetry: Application of real-space atiyah-hirzebruch spectral sequence to higher-order topology.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Topological classification under nonmag- netic and magnetic point group symmetry: Application of real-space atiyah-hirzebruch spectral sequence to higher-order topology

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.152409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:52.064746Z digest=sha256:414c36db807bcb2b7a53aedd8fcdef4e986c1511f80538377c066cb54267b2a6

Observation eb64cba3-64e6-4b15-8dbf-324c4f5bb4f1 · outbound

This paper cites Freed and Gregory W.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Freed and Gregory W

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.142640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:52.067370Z digest=sha256:cf7a0b3ea79861a96ca0a21e7e740efcf8478d868dfb8a19792fd15b7f408ae8

Observation 3b9ef2f1-93df-439e-ba73-44d00f955569 · outbound

This paper cites On the K-Theoretic Classification of Topological Phases of Matter.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases On the K-Theoretic Classification of Topological Phases of Matter

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.132430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:52.070020Z digest=sha256:22bec7bb0333b15c42a0ee445838adcf06ee849c3f8c94e2994d44591765239f

Observation 864ee51a-ebc0-436c-964b-0f31c7f92a23 · outbound

This paper cites Theory and classification of interacting integer topo- logical phases in two dimensions: A chern-simons approach.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Theory and classification of interacting integer topo- logical phases in two dimensions: A chern-simons approach

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.122892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:52.073364Z digest=sha256:1a1078d6633b9e8f6b40563beadd643fc3042144060932dbf95c00db281fc22e

Observation 01d5eb79-9aa8-4754-8168-d2c77c6c9f65 · outbound

This paper cites Crystalline-equivalent topological phases of many-body fermionic systems in 1+1 dimensions.

Connection between Free-Fermion and Interacting Crystalline Symmetry-Protected Topological Phases Crystalline-equivalent topological phases of many-body fermionic systems in 1+1 dimensions

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:25:52.113140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T10:25:52.076336Z digest=sha256:b88c881741de123573f3533c48d3426b1a63d0c81517330bf7844a1f68cb5c12

Pith citing papers

No inbound Pith citation observations are available.