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Paper Citation Record · LEDGER

Topological states in the Hofstadter model on a honeycomb lattice

As of 15 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:1908.09601.

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

pith.paper-citation-record.v1
1908.09601 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:12:25.703980Z

measured 30 of 30 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 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

30 of 30 outbound references displayed

  • verified exact14
  • verified fuzzy1
  • unresolved11
  • parse uncertain0
  • malformed identifier4
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f764d213-337e-4d0f-9e98-e93e3fcc6e0a · outbound

This paper cites https://doi.org/10.1103/PhysRevB.14.2239.

Topological states in the Hofstadter model on a honeycomb lattice https://doi.org/10.1103/PhysRevB.14.2239

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-14T11:12:25.557005Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 7643f27d-b7d8-4c28-9614-bcc444e678af · outbound

This paper cites an unresolved cited work.

Topological states in the Hofstadter model on a honeycomb lattice Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:12:26.325622Z

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 4844a791-79d3-47ae-b55b-f5dbf99b4bea · outbound

This paper cites an unresolved cited work.

Topological states in the Hofstadter model on a honeycomb lattice Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:12:26.306146Z

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=2026-08-14T11:12:25.528706Z digest=sha256:818579ec6cd377c1eb3893f3a756567ab66e1017cb8f0b945d57b74aee2fde7a

Observation 18dbb3ec-0535-42a0-b6a3-c7bc930c40b0 · outbound

This paper cites Numeri- cal calculations of the fermion spectrum, obtained for a stripe geometry (see in Fig.1), are shown in Fig.2.

Topological states in the Hofstadter model on a honeycomb lattice Numeri- cal calculations of the fermion spectrum, obtained for a stripe geometry (see in Fig.1), are shown in Fig.2

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:12:26.349900Z

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=2026-08-14T11:12:25.514755Z digest=sha256:900208ff21621d6a5555d09751159e1df247f83999731144b82fe054a0eff3fa

Observation b7852682-b0ea-487a-9605-804a69e50596 · outbound

This paper cites an unresolved cited work.

Topological states in the Hofstadter model on a honeycomb lattice Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:12:26.285526Z

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=2026-08-14T11:12:25.535896Z digest=sha256:f9981f2f74748e4177136f3da9758c96abb10fe7ac98ce6456f04932c87faf8e

Observation e9f32f40-72d7-4e7d-94f4-8247440d6619 · outbound

This paper cites an unresolved cited work.

Topological states in the Hofstadter model on a honeycomb lattice Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:12:26.259279Z

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=2026-08-14T11:12:25.541721Z digest=sha256:7dea8fe64b844b0abf59285cc042b6f4a15b9eabbb0b987c822bc5ec11ea8a67

Observation 983a25dd-1ce9-4176-996b-30fa9880cfc0 · outbound

This paper cites an unresolved cited work.

Topological states in the Hofstadter model on a honeycomb lattice Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:12:26.237068Z

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=2026-08-14T11:12:25.548027Z digest=sha256:8d31d00a892459fc561bf374d2a77273a1ed01ebbe250ea44780be5c5d788f2f

Observation 03cafe31-be24-4e4f-af79-22709b717194 · outbound

This paper cites https://doi.org/10.1088/0022- 3719/18/22/004.

Topological states in the Hofstadter model on a honeycomb lattice https://doi.org/10.1088/0022- 3719/18/22/004

Reference 8

Resolution
malformed identifier
no resolver link, observed 2026-08-14T11:12:25.563527Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:12:25.563527Z digest=sha256:76191a1f2f5bf9e9acc5c4b8694475bd59cfb2f20e927fe21476fd51966d4e56

Observation fe6cf206-d2fe-473a-a562-64914c698fd0 · outbound

This paper cites https://doi.org/10.1007/s10955-014-0992-0.

Topological states in the Hofstadter model on a honeycomb lattice https://doi.org/10.1007/s10955-014-0992-0

Reference 9

Resolution
verified exact
doi, observed 2026-08-14T11:12:26.087982Z

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=2026-08-14T11:12:25.569009Z digest=sha256:28e58559a3811f48c14d9531d853df3d78fc7d31cf03f37060a06202a23e091d

Observation 2228068c-2368-489e-b27f-15d6d99aa6cc · outbound

This paper cites https://doi.org/10.1088/1751- 8113/47/18/185202.

Topological states in the Hofstadter model on a honeycomb lattice https://doi.org/10.1088/1751- 8113/47/18/185202

Reference 10

Resolution
malformed identifier
no resolver link, observed 2026-08-14T11:12:25.574518Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:12:25.574518Z digest=sha256:573745109ad810273c435e4bfdf5238c8341cce2f97e5c74a79a217d59014e1c

Observation e489c5f9-b304-428e-bbd3-0e9939ea8136 · outbound

This paper cites 72, (1994), 1890-1893.

Topological states in the Hofstadter model on a honeycomb lattice 72, (1994), 1890-1893

Reference 11

Resolution
verified exact
doi, observed 2026-08-14T11:12:26.043889Z

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=2026-08-14T11:12:25.581912Z digest=sha256:952f4ab5818f6ab24e8bef10b254b35698ec388aeef1d1e1ccf16c31e6d93384

Observation e854675b-7c07-4909-9a01-a26b68936b45 · outbound

This paper cites Wu, Explicit solu- tions of the Bethe ansatz equations for Bloch electrons in a magmnetic field, Phys.Rev.Lett.

Topological states in the Hofstadter model on a honeycomb lattice Wu, Explicit solu- tions of the Bethe ansatz equations for Bloch electrons in a magmnetic field, Phys.Rev.Lett

Reference 12

Resolution
verified exact
doi, observed 2026-08-14T11:12:26.024953Z

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=2026-08-14T11:12:25.589687Z digest=sha256:292a29be236eedeae2f8ee0bb477c7abb2ccc30bba6f11c98c1bedf9b0049692

Observation b0d50c3e-5eec-4145-a917-3237b1274f6a · outbound

This paper cites Chiral Majorana fermion liquid, J.Phys.Commun., 1 (2017), 051001.

Topological states in the Hofstadter model on a honeycomb lattice Chiral Majorana fermion liquid, J.Phys.Commun., 1 (2017), 051001

Reference 13

Resolution
malformed identifier
no resolver link, observed 2026-08-14T11:12:25.596405Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:12:25.596405Z digest=sha256:451ea0169b20c073118209457115f60d3834ba290353041ffbe1c75d86133a7d

Observation 55ebcc4b-fd83-41aa-ac37-438eca07005d · outbound

This paper cites an unresolved cited work.

Topological states in the Hofstadter model on a honeycomb lattice Unresolved cited work

Reference 14

Resolution
verified exact
doi, observed 2026-08-14T11:12:25.991093Z

Source-reported events for the cited work

correction dated 2016-08-13. Source: crossref record 10.1016/j.physleta.2016.05.004->10.1016/j.physleta.2016.03.022:correction, observed 2026-07-11T03:16:29.716585+00:00. This notice travels one citation hop only.

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Observation 6ac918c9-30df-4609-ae41-a980bd15e478 · outbound

This paper cites Topology and Self-Similarity of the Hofstadter Butterfly.

Topological states in the Hofstadter model on a honeycomb lattice Topology and Self-Similarity of the Hofstadter Butterfly

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:12:26.217175Z

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=2026-08-14T11:12:25.608968Z digest=sha256:eadc6a540565e165e99f99418c6fe31676c54a9750f3ca4a8a10392672132a64

Observation d4a6d30b-ab59-4cf5-94a7-82082a8c4789 · outbound

This paper cites https://doi.org/10.1088/1751-8113/45/39/395305.

Topological states in the Hofstadter model on a honeycomb lattice https://doi.org/10.1088/1751-8113/45/39/395305

Reference 16

Resolution
verified exact
doi, observed 2026-08-14T11:12:25.970328Z

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=2026-08-14T11:12:25.616091Z digest=sha256:0cb6e1457b626ef2a0d62d3b4ca7de64628831eacb6aa6acd5d14b69db0c68e7

Observation c3e4abbc-c2b9-422e-b94d-013022d81eb4 · outbound

This paper cites https://doi.org/10.1016/j.physleta.2017.04.014.

Topological states in the Hofstadter model on a honeycomb lattice https://doi.org/10.1016/j.physleta.2017.04.014

Reference 17

Resolution
verified exact
doi, observed 2026-08-14T11:12:25.947249Z

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 f8284e17-6034-4b21-8253-294871bd6353 · outbound

This paper cites an unresolved cited work.

Topological states in the Hofstadter model on a honeycomb lattice Unresolved cited work

Reference 18

Resolution
malformed identifier
doi_truncated, observed 2026-08-14T11:12:25.929953Z

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=2026-08-14T11:12:25.628361Z digest=sha256:450293a0cc6e2a71b113061440999e68afe356aa03898a257e74fbbf3714979e

Observation 026e9fff-13a3-430c-9820-c7fd9fa36b25 · outbound

This paper cites J.Math.Phys., 13 (1972), 1185-1189.

Topological states in the Hofstadter model on a honeycomb lattice J.Math.Phys., 13 (1972), 1185-1189

Reference 19

Resolution
verified exact
doi, observed 2026-08-14T11:12:25.911752Z

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=2026-08-14T11:12:25.634315Z digest=sha256:7bd93f8c78eedd5a768a1ec1d8d02aa7748fa829bb74898c6c2f1f170326378f

Observation a395c5db-e66c-46c5-9926-4e4e502337f8 · outbound

This paper cites https://doi.org/10.1016/j.aop.2005.10.005.

Topological states in the Hofstadter model on a honeycomb lattice https://doi.org/10.1016/j.aop.2005.10.005

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-14T11:12:25.639571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:12:25.639571Z digest=sha256:ac4e921bfe77242722471fc13fb264e3ca352a242f29d7dbe32469ecfc00b651

Observation 94299cc6-eb4e-461c-99de-68723ca96cce · outbound

This paper cites https://doi.org/10.1103/PhysRevB.78.235322.

Topological states in the Hofstadter model on a honeycomb lattice https://doi.org/10.1103/PhysRevB.78.235322

Reference 21

Resolution
verified exact
doi, observed 2026-08-14T11:12:25.879060Z

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=2026-08-14T11:12:25.646945Z digest=sha256:6dd53b1a63abf1c02d51f87f47c1f6f36ec61e01486569fcd20ef016ad1326e8

Observation c491a379-58c2-4926-9a7c-2a058dddc1c5 · outbound

This paper cites https://doi.org/10.1070/1063-7869/44/10S/S29.

Topological states in the Hofstadter model on a honeycomb lattice https://doi.org/10.1070/1063-7869/44/10S/S29

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-14T11:12:25.653240Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:12:25.653240Z digest=sha256:02b7cb3e4ee077991fc62569309692d2835a148038a4edb37a8faff2d7b2c514

Observation 87b09028-2d04-4489-ae87-05b144689abf · outbound

This paper cites 4$\pi$ and 8$\pi$ dual Josephson effects induced by symmetry defects.

Topological states in the Hofstadter model on a honeycomb lattice 4$\pi$ and 8$\pi$ dual Josephson effects induced by symmetry defects

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:12:26.177659Z

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 0e704e3a-a2e9-4665-98de-ffdbc86d4d05 · outbound

This paper cites https://doi.org/10.1103/PhysRevB.89.205111.

Topological states in the Hofstadter model on a honeycomb lattice https://doi.org/10.1103/PhysRevB.89.205111

Reference 24

Resolution
verified exact
doi, observed 2026-08-14T11:12:25.836834Z

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=2026-08-14T11:12:25.665247Z digest=sha256:b134b309b3e6770a51d51c1c1ae5028e1d5d821c7bac431a351d6c00108d04cb

Observation 3b19097c-476e-4645-815a-cae5805092d4 · outbound

This paper cites https://doi.org/10.1103/PhysRevB.97.075137.

Topological states in the Hofstadter model on a honeycomb lattice https://doi.org/10.1103/PhysRevB.97.075137

Reference 25

Resolution
verified exact
doi, observed 2026-08-14T11:12:25.813116Z

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=2026-08-14T11:12:25.670830Z digest=sha256:49ff21bb2c3bff8f62ed129046c0698647ba087fa6a584f71a6e15e359217fe2

Observation 5d70aaea-42d1-4657-935d-c97d30d0d0ad · outbound

This paper cites https://doi.org/10.1142/S0217979206035448.

Topological states in the Hofstadter model on a honeycomb lattice https://doi.org/10.1142/S0217979206035448

Reference 26

Resolution
verified exact
doi, observed 2026-08-14T11:12:25.793779Z

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=2026-08-14T11:12:25.676476Z digest=sha256:8fa8ba613ae7906d9cbbe0c711a7c45500a2ed89f272fab78b01674d9eaf78ac

Observation 3e383e49-d796-493d-a689-cea285d91fe5 · outbound

This paper cites https://doi.org/10.1038/nature04233.

Topological states in the Hofstadter model on a honeycomb lattice https://doi.org/10.1038/nature04233

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-14T11:12:25.682645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:12:25.682645Z digest=sha256:0a4a2e61b70999302172bd3c29d0b5f9045b6035c87a45b1a828ec9446ed7089

Observation 9a30ab84-5ea5-4a49-97d1-10b516674284 · outbound

This paper cites https://doi.org/10.1038/nature04235 8.

Topological states in the Hofstadter model on a honeycomb lattice https://doi.org/10.1038/nature04235 8

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-14T11:12:25.691632Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:12:25.691632Z digest=sha256:6763d22324ada0fbddea6af842b880ff6d81164991dc6ac0b47cd8d6cb18d692

Observation 3266e09e-7432-4952-beec-8965a5ae4452 · outbound

This paper cites 95 (2005), 146801.

Topological states in the Hofstadter model on a honeycomb lattice 95 (2005), 146801

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-14T11:12:25.697619Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:12:25.697619Z digest=sha256:920f7d748be8b629bc2b649f5a1ccd06208c7f62f64d1dc81351872e1b1cb9e3

Observation 284cfad2-a6bf-45c7-9d5b-b16c821f2816 · outbound

This paper cites Perturbative/nonperturbative aspects of Bloch electrons in a honeycomb lattice.

Topological states in the Hofstadter model on a honeycomb lattice Perturbative/nonperturbative aspects of Bloch electrons in a honeycomb lattice

Reference 30

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:12:26.143450Z

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=2026-08-14T11:12:25.703980Z digest=sha256:c2568314638e4d3a53287ec887cd782850789326dc5fb1c19c728161331514bd

Pith citing papers

No inbound Pith citation observations are available.