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Paper Citation Record · LEDGER

Higher-order topological insulators in a crisscross antiferromagnetic model

As of 16 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:1908.09309.

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

pith.paper-citation-record.v1
1908.09309 v1

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:23:41.038134Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

38 of 38 outbound references displayed

  • verified exact0
  • verified fuzzy9
  • unresolved29
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f60223e1-358b-4f87-b60a-dedcb513ce00 · outbound

This paper cites We note that the intracell next-nearest-neighbor hopping t2 is zero due to the P T symmetry.

Higher-order topological insulators in a crisscross antiferromagnetic model We note that the intracell next-nearest-neighbor hopping t2 is zero due to the P T symmetry

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:23:42.269962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:23:40.004831Z digest=sha256:02259b15ff224b4cfd294e3aff90d815281bc438116e8007437df9665e8ae96e

Observation 4318d5b3-3f75-436b-87ba-a92b746a78d4 · outbound

This paper cites an unresolved cited work.

Higher-order topological insulators in a crisscross antiferromagnetic model Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:23:42.320847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:23:39.910092Z digest=sha256:9cd134b9b85123e294c845f3555d637068f9d53c3d5f806ab5577e0d0ea81784

Observation e81afbb7-b216-4a0f-8a85-c92c18940976 · outbound

This paper cites an unresolved cited work.

Higher-order topological insulators in a crisscross antiferromagnetic model Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-14T11:23:40.292354Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:23:40.292354Z digest=sha256:58582c66aacee844a962370597c445e33a27ee066f942a36a5283dab69dc63fe

Observation e2346bad-fb8a-453e-93e6-c862a912ed20 · outbound

This paper cites an unresolved cited work.

Higher-order topological insulators in a crisscross antiferromagnetic model Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:23:42.111149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:23:40.180191Z digest=sha256:5f987c659519d265db02e40edf04c55f3f51514234ad793d05308ff05d017010

Observation 856b5c96-a796-42bd-9af4-1c60cbd15870 · outbound

This paper cites an unresolved cited work.

Higher-order topological insulators in a crisscross antiferromagnetic model Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-14T11:23:40.282229Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:23:40.282229Z digest=sha256:6286b1c9e6d73d5d83b7c17191880214dbedf39772f1ef3edb5cff081d035328

Observation 55977abc-f046-434f-b49a-0dd311bcb49c · outbound

This paper cites Qi and S.-C.

Higher-order topological insulators in a crisscross antiferromagnetic model Qi and S.-C

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-14T11:23:40.287363Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:23:40.287363Z digest=sha256:8fa6214baf7aa35d2d8739c03919f4f69b5d26584e2f02a2b2e50bc744f28003

Observation 9e841dc5-5d57-47cd-80ae-ee71636a88aa · outbound

This paper cites Fu, Phys.

Higher-order topological insulators in a crisscross antiferromagnetic model Fu, Phys

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-14T11:23:40.590621Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:23:40.590621Z digest=sha256:f9be28310b7110564a04c786343cab2da39cab857c09005fc62bcdc560283dec

Observation 19a04db0-90d3-4178-95fa-268912f8862a · outbound

This paper cites an unresolved cited work.

Higher-order topological insulators in a crisscross antiferromagnetic model Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-14T11:23:40.296833Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:23:40.296833Z digest=sha256:75867c125b4161830d28942d581a0001832d84dea6b554184387a27c367a9783

Observation f7c93c3b-5f69-4a66-8561-689c1a1f5a8a · outbound

This paper cites an unresolved cited work.

Higher-order topological insulators in a crisscross antiferromagnetic model Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-14T11:23:40.331817Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:23:40.331817Z digest=sha256:8d5a108e63df8d1cb5ab3f284e5a06f679479565c17b4bb5cefab80ea3f69874

Observation bc60e94f-8fe2-4898-b9a4-34e4ac1b7705 · outbound

This paper cites Zhang, C.-X.

Higher-order topological insulators in a crisscross antiferromagnetic model Zhang, C.-X

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-14T11:23:40.473599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:23:40.473599Z digest=sha256:ed7273f13a9d6824af1a3caef01c29882993a86b43106a559f85a4a74cab0b89

Observation 7724bccb-300b-4bfc-90a8-b423026de54d · outbound

This paper cites Topo- logical crystalline insulators,.

Higher-order topological insulators in a crisscross antiferromagnetic model Topo- logical crystalline insulators,

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:23:41.803175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:23:40.864513Z digest=sha256:6ec81912a207459c5aca9bc41cf19a85d2ea6ae6d45c2084b9de9f1fde395f11

Observation 0f9ac9da-6b1d-45c1-a4a8-345b337144eb · outbound

This paper cites an unresolved cited work.

Higher-order topological insulators in a crisscross antiferromagnetic model Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:23:41.885409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:23:40.675770Z digest=sha256:06c0c1dd925d38b6c5409c86231bdd7efdf56476b9166788450dbae7c806aff4

Observation 75373360-18f3-4ed9-ba85-b9d237c98d95 · outbound

This paper cites an unresolved cited work.

Higher-order topological insulators in a crisscross antiferromagnetic model Unresolved cited work

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-14T11:23:40.818203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:23:40.818203Z digest=sha256:32795dab5ba659ddcb97871e51ff78c85d0b7c8bb87ffcbcddcbf7a9e1920dad

Observation 06497f39-ec49-4bb5-9742-5a1821142d1c · outbound

This paper cites Zhang and C.-X.

Higher-order topological insulators in a crisscross antiferromagnetic model Zhang and C.-X

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:23:41.818247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:23:40.860166Z digest=sha256:849a6bf03c33d0c7bae4e05d136e478b90d7ed18d9848a5026fe39c9052d7ba6

Observation f1b15dfd-be3d-45e3-bdfb-000663039ef6 · outbound

This paper cites an unresolved cited work.

Higher-order topological insulators in a crisscross antiferromagnetic model Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-14T11:23:40.881202Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:23:40.881202Z digest=sha256:2e26b3ea32ad0e5b32ad9983a652668635675dae81dfc7fe5f5dc55d491bccfb

Observation c8fe867c-8719-4beb-b241-f4f2419fc51f · outbound

This paper cites an unresolved cited work.

Higher-order topological insulators in a crisscross antiferromagnetic model Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:23:41.787174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:23:40.868892Z digest=sha256:4d99d7eb86d438765a7a1f2e27c5722c0366dd171b9de9f41553f27569b5b5bb

Observation d769af7c-a008-4547-847b-21b73a148268 · outbound

This paper cites an unresolved cited work.

Higher-order topological insulators in a crisscross antiferromagnetic model Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-14T11:23:40.873049Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:23:40.873049Z digest=sha256:89acfe979612f9559f81ba79669cfd66765be2ca81b27976ef5e2c948ecb42c2

Observation 80abace6-07bf-4cf2-b3e1-4d3c9bb74255 · outbound

This paper cites an unresolved cited work.

Higher-order topological insulators in a crisscross antiferromagnetic model Unresolved cited work

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-14T11:23:40.877404Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:23:40.877404Z digest=sha256:b0ae5b776e3f3cbf3e9f4d9e3a8cc12cbc00ccdfadb7c2a752988482150d277c

Observation cb9b5bb0-6d18-4d5f-b85b-a139da299399 · outbound

This paper cites Higher-Order Topology, Monopole Nodal Lines, and the Origin of Large Fermi Arcs in Transition Metal Dichalcogenides XTe$_2$ (X=Mo,W).

Higher-order topological insulators in a crisscross antiferromagnetic model Higher-Order Topology, Monopole Nodal Lines, and the Origin of Large Fermi Arcs in Transition Metal Dichalcogenides XTe$_2$ (X=Mo,W)

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-14T11:23:40.899220Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:23:40.899220Z digest=sha256:93325d563f83ab664e38b2ee33de4427ddd81fd195af1af18c42e161a221e97c

Observation 3edcf704-a683-4b4e-8f8c-e1e212c64a1f · outbound

This paper cites Langbehn, Y.

Higher-order topological insulators in a crisscross antiferromagnetic model Langbehn, Y

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-14T11:23:40.886270Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:23:40.886270Z digest=sha256:5f86e9524d0005a5b85a324871e69b0f764038e8f88bcaa352ff2b969585557f

Observation 99c6c05c-2015-456c-8453-1937d84182a4 · outbound

This paper cites Schindler, A.

Higher-order topological insulators in a crisscross antiferromagnetic model Schindler, A

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-14T11:23:40.891140Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:23:40.891140Z digest=sha256:e50bdc82b448af758b9e0b380c2f3a9310a22d60504cfb5757c01dc0b1362da1

Observation 8047fa94-e5a3-4756-b3c7-4c71b03576c7 · outbound

This paper cites Schindler, Z.

Higher-order topological insulators in a crisscross antiferromagnetic model Schindler, Z

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:23:41.644544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:23:40.895322Z digest=sha256:10d86996b4c3768d8a6c361cfdb2472820d4ef8284a752770bd1c1a68d4a7940

Observation 37d67b4a-9c34-4c9b-9fab-678b8788f4d1 · outbound

This paper cites an unresolved cited work.

Higher-order topological insulators in a crisscross antiferromagnetic model Unresolved cited work

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-14T11:23:40.917649Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:23:40.917649Z digest=sha256:e23c6bf2bc5449900ee87e6e53645e097166ea33673dc378d15492f03045e5ad

Observation 9a96f4fa-e79f-4b73-8d51-a71e6cc67be8 · outbound

This paper cites Bradlyn, L.

Higher-order topological insulators in a crisscross antiferromagnetic model Bradlyn, L

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-14T11:23:40.904818Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:23:40.904818Z digest=sha256:740a8f2314d2fb94f134169993ed2ebc337aa06375269650e8ea16f368ec2e74

Observation e980cc33-5593-47e3-a8b6-1b419e72f973 · outbound

This paper cites an unresolved cited work.

Higher-order topological insulators in a crisscross antiferromagnetic model Unresolved cited work

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-14T11:23:40.909369Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:23:40.909369Z digest=sha256:7dab9c92042e0eea64df228b83641db3d62f47156e9b9758c8cc9deca0dcdc27

Observation a49e8ae8-8c8e-435f-b3d3-89038dbe7571 · outbound

This paper cites Zhang, Y.

Higher-order topological insulators in a crisscross antiferromagnetic model Zhang, Y

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-14T11:23:40.913609Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:23:40.913609Z digest=sha256:ec82b147a50da54ab1c83f9fe3882e6bd58cf9351b03ebc0681575ab881a5a5f

Observation 7e26944d-960a-4b23-96e5-871f860fd64e · outbound

This paper cites an unresolved cited work.

Higher-order topological insulators in a crisscross antiferromagnetic model Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:23:41.278873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:23:40.937735Z digest=sha256:178846b1c42d64c09faf5130aebca5b6c4159e98d6fee047b759d3d0b87bc523

Observation a8547bb3-8f0f-4234-9ff6-0a3223aa7e0d · outbound

This paper cites van Miert and C.

Higher-order topological insulators in a crisscross antiferromagnetic model van Miert and C

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:23:41.549494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:23:40.922150Z digest=sha256:f0d4b3b7c8cfae212571f375823109dbc09420f2b8e1da6abf2a18d410957c3c

Observation 618c028a-abf5-4896-abad-1b124e079158 · outbound

This paper cites an unresolved cited work.

Higher-order topological insulators in a crisscross antiferromagnetic model Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:23:41.533797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:23:40.929181Z digest=sha256:49a3c9e9aa29ded3de883e3b523f8bbd540ac4dfcc922ac3acb921b1d5b41431

Observation f9bb7d91-3bdd-479f-ba85-5769057bdd6a · outbound

This paper cites Ezawa, Phys.

Higher-order topological insulators in a crisscross antiferromagnetic model Ezawa, Phys

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:23:41.435049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:23:40.933414Z digest=sha256:ace2348ff6dbd837d5cc3f29c813b38264deed9c7f72b0a486a01281818dadfd

Observation 6d3d9b5d-f3a3-4ee7-9c41-07f48284d245 · outbound

This paper cites an unresolved cited work.

Higher-order topological insulators in a crisscross antiferromagnetic model Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:23:41.222964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:23:40.955153Z digest=sha256:19ab43265d34da318f33ea5b318d071aa46ff7957ec6ad5cc3bddc4c5c1bec45

Observation 0d339bc4-6e62-4cf1-ae3d-070c99c5ed3b · outbound

This paper cites an unresolved cited work.

Higher-order topological insulators in a crisscross antiferromagnetic model Unresolved cited work

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-14T11:23:40.941816Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:23:40.941816Z digest=sha256:bd02bc91cc89650bc9203dda10410147af650abdb079e99054630ee346b89990

Observation 8de00d65-0e29-4771-aec4-fb0ace5c73a9 · outbound

This paper cites Okuma, M.

Higher-order topological insulators in a crisscross antiferromagnetic model Okuma, M

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:23:41.252869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:23:40.945999Z digest=sha256:cd70a517711d4bce7ec41f3b70793f3c29b8079ee86dd9c61fa8cefd48977c0e

Observation 4d0dddb2-5100-42d3-b8bf-9038a89285ec · outbound

This paper cites Liu, H.-Y.

Higher-order topological insulators in a crisscross antiferromagnetic model Liu, H.-Y

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:23:41.238616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:23:40.950343Z digest=sha256:67c78d6ce3fb07900c006fd5211c180b132af876e020a02db4d8018a43bdf29a

Observation e2db84d5-1409-421e-b30f-10ad8eecad58 · outbound

This paper cites The Axion Insulator as a Pump of Fragile Topology.

Higher-order topological insulators in a crisscross antiferromagnetic model The Axion Insulator as a Pump of Fragile Topology

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-14T11:23:40.959469Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:23:40.959469Z digest=sha256:1a5744930c8c0f048bc7a3e3495539fdd813d719959683fc5d3cbf6d3e78a444

Observation 87704c76-f16b-47aa-91d3-cae937f4852c · outbound

This paper cites an unresolved cited work.

Higher-order topological insulators in a crisscross antiferromagnetic model Unresolved cited work

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-14T11:23:40.986209Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:23:40.986209Z digest=sha256:8696791d60b1b0cf14876812ca5e9d324aa37adb6d9427e0e4d477dca632ea3f

Observation 7fa009c1-7b23-4381-9ce9-d8e2ca086136 · outbound

This paper cites an unresolved cited work.

Higher-order topological insulators in a crisscross antiferromagnetic model Unresolved cited work

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-14T11:23:41.038134Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:23:41.038134Z digest=sha256:bd2bb03ccc268e64bbca888920cc5b16553c55be824c7251a99e0cf2a91812a9

Observation e88f67ae-d0b9-4d10-aa05-6e2eb47fd133 · outbound

This paper cites Due to the C4zT symmetry, the mass terms on neighbouring side surfaces have opposite signs.

Higher-order topological insulators in a crisscross antiferromagnetic model Due to the C4zT symmetry, the mass terms on neighbouring side surfaces have opposite signs

Reference 100

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:23:42.202760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:23:40.140809Z digest=sha256:472a75c04bb2da7bbc2c570ceac29b1074f8c6ffe524bec764007765011a3fee

Pith citing papers

No inbound Pith citation observations are available.