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Paper Citation Record · LEDGER

Classification of topological ladder models

As of 15 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 1 inbound Pith citation observation for arXiv:1907.11460.

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

pith.paper-citation-record.v1
1907.11460 v1

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-24T15:29:27.050500Z

measured 48 of 48 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:36:29.323700Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T05:36:29.536135Z

Reference resolution

47 of 47 outbound references displayed

  • verified exact2
  • verified fuzzy29
  • unresolved16
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

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Outbound references

Observation 878dbf78-dbe9-496d-accd-5cbf474d5056 · outbound

This paper cites There are two ways in which the Hamiltonian matrix of a ladder with chiral symmetry can be written.

Classification of topological ladder models There are two ways in which the Hamiltonian matrix of a ladder with chiral symmetry can be written

Reference 1

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Observation 6ca597b9-174b-48f1-8d34-f10d16a73047 · outbound

This paper cites In the presence of this phase δ the Hamiltonian matrix has a different form and breaks time reversal and charge con- jugation symmetries.

Classification of topological ladder models In the presence of this phase δ the Hamiltonian matrix has a different form and breaks time reversal and charge con- jugation symmetries

Reference 2

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source=pdf_text observed=2026-05-24T15:29:27.050500Z digest=sha256:2b17e9c28c0140d7a576f598e53bb2512a429c4bc4c59484de15bf659c7129dc

Observation 593bf317-b7fb-4ff3-984a-724ca624199d · outbound

This paper cites an unresolved cited work.

Classification of topological ladder models Unresolved cited work

Reference 3

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Observation edcc74df-b39c-4387-9686-fea6ae7be0a8 · outbound

This paper cites We consider the bowtie ladder and define the unitary transformation W as: W : { ˆa† n−→ ˆb† N+1−n ˆb† n−→ ˆa† N+1−n.

Classification of topological ladder models We consider the bowtie ladder and define the unitary transformation W as: W : { ˆa† n−→ ˆb† N+1−n ˆb† n−→ ˆa† N+1−n

Reference 4

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source=pdf_text observed=2026-05-24T15:29:27.050500Z digest=sha256:4214e089eac7e5b84776940171e82f8dcd17accdff6fe9f374a18ede26d09bed

Observation 71497cb2-fe9d-4c13-b319-9923e28d4a50 · outbound

This paper cites That is, being the edge mode|e⟩ in Eq.(84) an eigenstate of the bowtie ladder Hamiltonian with some energy E, then the state US|e⟩ is another eigenstate with energy −E.

Classification of topological ladder models That is, being the edge mode|e⟩ in Eq.(84) an eigenstate of the bowtie ladder Hamiltonian with some energy E, then the state US|e⟩ is another eigenstate with energy −E

Reference 5

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Observation b3edfb89-85a0-477d-bd6c-b6a1c76f7219 · outbound

This paper cites an unresolved cited work.

Classification of topological ladder models Unresolved cited work

Reference 6

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source=pdf_text observed=2026-05-24T15:29:27.050500Z digest=sha256:6f0b577c479848dfe5b7fea3f2cf08db7db93e12084bc88cfffc369d4fdde42a

Observation 722a274f-dcf0-4f19-8f75-8af74b09041f · outbound

This paper cites Both states have the same mo- mentum density distribution: ⟨ˆnk⟩ = 1 κ ρ2(k) , (109) where ˆnk = ˆa† kˆak+ˆb† k ˆbk.

Classification of topological ladder models Both states have the same mo- mentum density distribution: ⟨ˆnk⟩ = 1 κ ρ2(k) , (109) where ˆnk = ˆa† kˆak+ˆb† k ˆbk

Reference 7

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Observation 83d702a4-ec93-4d8d-8e19-e840cfa97896 · outbound

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Classification of topological ladder models Unresolved cited work

Reference 8

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Observation 80657be1-e1c7-4a59-b2e2-2f6f7d1f906e · outbound

This paper cites (114), Eq.

Classification of topological ladder models (114), Eq

Reference 9

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Observation fbdb1f7d-f629-4b61-a345-6e335e2f4790 · outbound

This paper cites In this context, if a Hamiltonian H presents timer re- versal symmetry there is a global unitary transformation UT such that: UT H U† T = H.

Classification of topological ladder models In this context, if a Hamiltonian H presents timer re- versal symmetry there is a global unitary transformation UT such that: UT H U† T = H

Reference 10

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Observation 6f9d92a9-b421-4b3a-957e-7ff286886812 · outbound

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Classification of topological ladder models Unresolved cited work

Reference 11

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Observation e4c8dcca-d3b1-4d2d-b3e7-b802644de77c · outbound

This paper cites The chiral symmetry implies that the Hamiltonian ma- trix has no component proportional to the identity.

Classification of topological ladder models The chiral symmetry implies that the Hamiltonian ma- trix has no component proportional to the identity

Reference 12

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Observation 62854ec6-23ce-4e95-83aa-10f16d6e0b9b · outbound

This paper cites If a model has no diagonal couplings, that is t = t′ = 0, the condition for chiral symmetry (138) is fulfilled independently of the rest of the parameters.

Classification of topological ladder models If a model has no diagonal couplings, that is t = t′ = 0, the condition for chiral symmetry (138) is fulfilled independently of the rest of the parameters

Reference 13

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Observation d37ceeb3-97ed-496a-a64d-d108dbedf9d9 · outbound

This paper cites (138), vanishes and, thus, the on-site energy can take any value.

Classification of topological ladder models (138), vanishes and, thus, the on-site energy can take any value

Reference 14

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Observation 256acea1-36ff-4730-8c78-94efb4caee5c · outbound

This paper cites This corresponds to the last model [Fig.

Classification of topological ladder models This corresponds to the last model [Fig

Reference 15

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source=pdf_text observed=2026-05-24T15:29:27.050500Z digest=sha256:84db02be97897d9e741ad49005178b1520f420f92c12de54ccf028dbf8c70665

Observation 7a06bb8b-05be-411a-a493-c9e4ba8c44cc · outbound

This paper cites (139) and Eq.

Classification of topological ladder models (139) and Eq

Reference 16

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source=pdf_text observed=2026-05-24T15:29:27.050500Z digest=sha256:3328e471f4cdb749fed5f2647cf6d4333edb1ba8d03f2b1059824d88f07234c1

Observation 74ef2194-9a6e-41cb-9cbe-50c21b179345 · outbound

This paper cites H¨ ugel and B.

Classification of topological ladder models H¨ ugel and B

Reference 17

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Observation 23b0503c-c302-4244-a057-e436952ebb9d · outbound

This paper cites Aidelsburger, M.

Classification of topological ladder models Aidelsburger, M

Reference 18

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Observation 37f3bce0-8f11-4b29-a82e-330ee1e0c447 · outbound

This paper cites Aidelsburger, M.

Classification of topological ladder models Aidelsburger, M

Reference 19

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source=pdf_text observed=2026-05-24T15:29:27.050500Z digest=sha256:80a8a129029689823e53732645f0931d78df458e57fd0dc422898985b1478473

Observation f44fd666-ae5f-44fc-b321-33e68453cb47 · outbound

This paper cites Atala, M.

Classification of topological ladder models Atala, M

Reference 20

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Observation 5e7c3a93-c887-4952-9eea-028bd5da6978 · outbound

This paper cites Boada, A.

Classification of topological ladder models Boada, A

Reference 21

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Observation dc4fd450-d6e5-4eb2-867c-f1c71f15aca3 · outbound

This paper cites an unresolved cited work.

Classification of topological ladder models Unresolved cited work

Reference 22

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Observation c7bf9bd5-c6ad-4035-9762-3ab7d52f0f42 · outbound

This paper cites Mancini, G.

Classification of topological ladder models Mancini, G

Reference 23

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Observation 012d8eea-0c19-4836-883d-6c359ab1d375 · outbound

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Classification of topological ladder models Unresolved cited work

Reference 24

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source=pdf_text observed=2026-05-24T15:29:27.050500Z digest=sha256:81747f08130512857b7edb7f97577a47dca791ab20099b4169c9da17e1858761

Observation 6951cb68-5686-435d-8973-a5fbad0964c9 · outbound

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Classification of topological ladder models Unresolved cited work

Reference 25

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Observation 115e962e-150d-4c16-a99c-d34634cbf417 · outbound

This paper cites Kolkowitz, S.

Classification of topological ladder models Kolkowitz, S

Reference 26

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Observation 06f162f2-770f-46c4-9775-262c0ea8b38c · outbound

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Classification of topological ladder models Unresolved cited work

Reference 27

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Observation 4b1b64a2-3021-4a23-80a6-5df9ff61df30 · outbound

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Classification of topological ladder models Unresolved cited work

Reference 28

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Observation 6eecbd6b-0413-4c4c-bbb5-59c6e0540454 · outbound

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Classification of topological ladder models Unresolved cited work

Reference 29

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Observation 76e3bbcb-783b-4a3d-bcce-07c7c8b3e750 · outbound

This paper cites Topological Creutz Ladder in a Resonantly Shaken 1D Optical Lattice.

Classification of topological ladder models Topological Creutz Ladder in a Resonantly Shaken 1D Optical Lattice

Reference 30

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source=pdf_text observed=2026-05-24T15:29:27.050500Z digest=sha256:5e6457d3eb1231946f66c4c39012245445c4f55b0bca8e6e1476397a1f665e7b

Observation 43b4cc17-e294-4ae0-9e50-e2af72777840 · outbound

This paper cites Anisimovas, M.

Classification of topological ladder models Anisimovas, M

Reference 31

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Observation c3f7c1c7-ace4-4f5d-9d82-3f03f61124c0 · outbound

This paper cites J¨ unemann, A.

Classification of topological ladder models J¨ unemann, A

Reference 32

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Observation 3d925bdb-e0ff-4fd0-9102-3ad9b10f96a6 · outbound

This paper cites an unresolved cited work.

Classification of topological ladder models Unresolved cited work

Reference 33

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Observation 93cc7c65-5a34-49d8-b1d8-f55cce46c379 · outbound

This paper cites Experimental realization of a symmetry protected topological phase of interacting bosons with Rydberg atoms.

Classification of topological ladder models Experimental realization of a symmetry protected topological phase of interacting bosons with Rydberg atoms

Reference 34

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source=pdf_text observed=2026-05-24T15:29:27.050500Z digest=sha256:8d3540f15d86f342fef8cd8c9f356bd87a9c6e16940140fbd541c9ff68d8226c

Observation f4c8a7bf-5128-471e-bf42-757ca52a3d75 · outbound

This paper cites Gholizadeh, M.

Classification of topological ladder models Gholizadeh, M

Reference 35

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Observation e4eb0276-3070-4d4e-a8e6-f6f5fad913f9 · outbound

This paper cites an unresolved cited work.

Classification of topological ladder models Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-05-24T15:29:38.354464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 4443fb72-dc31-4044-acff-8393b379ec58 · outbound

This paper cites an unresolved cited work.

Classification of topological ladder models Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-05-24T15:29:38.351249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 16406871-abde-49c0-a024-2f7cc608bc03 · outbound

This paper cites Altland and M.

Classification of topological ladder models Altland and M

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T15:29:38.314637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-24T15:29:27.050500Z digest=sha256:bf73fea4788cce8dc9de6cee947d45394c872ea584680f3705d2546175765c33

Observation 7dd065f9-fcc0-4992-9601-227c3f5fd08f · outbound

This paper cites an unresolved cited work.

Classification of topological ladder models Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-05-24T15:29:38.341592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-24T15:29:27.050500Z digest=sha256:421600175752872db41a46ce0b965803f80519f82599424a694bb508a5aa7827

Observation c46ca1e8-8b87-4f0c-934d-56db244bfae5 · outbound

This paper cites an unresolved cited work.

Classification of topological ladder models Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-05-24T15:29:38.344760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-24T15:29:27.050500Z digest=sha256:3c8d9bd41dddbabda3e911fb1bb890f4d0bec06fc5959c00fdb7c46e954a831f

Observation 9d2237e0-7224-487f-b03d-eb842c2672c9 · outbound

This paper cites Sierra, J.

Classification of topological ladder models Sierra, J

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T15:29:38.295954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-24T15:29:27.050500Z digest=sha256:273356a9130392c6544c62dfbdf8ee5628ee9b90f42fb9cef9ce608d87320b69

Observation e45d8bfb-4619-45a2-8d68-c3e49747fedf · outbound

This paper cites Atala, M.

Classification of topological ladder models Atala, M

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T15:29:38.433462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-24T15:29:27.050500Z digest=sha256:491caa778b54beb2ebbe1d46053a4186cf6557f3d675e6a7d4671edf1dead87a

Observation 1ac578d8-ad91-40ca-bc21-26f0ebba4ceb · outbound

This paper cites an unresolved cited work.

Classification of topological ladder models Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-05-24T15:29:38.307272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-24T15:29:27.050500Z digest=sha256:61d63e441d187c03187566e32241d0d54b775a88f87eef549cc26c066b39856e

Observation 8d7404cd-d976-4e40-86b4-bf5c51da111a · outbound

This paper cites Leder, C.

Classification of topological ladder models Leder, C

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T15:29:38.299450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-24T15:29:27.050500Z digest=sha256:bb2f233fd428e0ecd1a1c7ca4c0c3ebed3132e2f9e6b50f7cb12a0172d2f1e72

Observation a82b91a8-eb80-40bb-9e64-5ac1782c78d1 · outbound

This paper cites Wilson, in New Phenomena in Subnuclear Physics , edited by A.

Classification of topological ladder models Wilson, in New Phenomena in Subnuclear Physics , edited by A

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T15:29:38.310753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-24T15:29:27.050500Z digest=sha256:0b12be3149d355e771fd4ee378263360988fcd970c8162b0846b7d078e6afb34

Observation 9a0236cd-ace9-48f7-8f42-6724e4089ef6 · outbound

This paper cites Creutz and I.

Classification of topological ladder models Creutz and I

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T15:29:38.347903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-24T15:29:27.050500Z digest=sha256:07407f704259439891b21d2cb099576a8105273be2bc7b54c460ecffc1b1a301

Observation fbcd0107-2f84-45c6-9378-6f25e8771538 · outbound

This paper cites Creutz, Rev.

Classification of topological ladder models Creutz, Rev

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T15:29:38.440069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-24T15:29:27.050500Z digest=sha256:e4fc8a129fdaed6fa3ae89930e9835e44186009339b77027d0a1b8323ff61c1f

Pith citing papers

Observation 30ccdd9d-0a00-4241-aedc-da276b18213c · inbound

Topology and interactions in the photonic Creutz and Creutz-Hubbard ladders cites this paper.

Topology and interactions in the photonic Creutz and Creutz-Hubbard ladders Classification of topological ladder models

Reference 46

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:36:29.540646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:36:29.323700Z digest=sha256:9c4642021abd097657b776e8342ec47265069ed53e102d82eb0942292adedc65