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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 2026-08-14T06:32:32.682623+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.

source=pdf_text observed=2026-08-14T11:12:25.557005Z digest=sha256:247c6d266259684e56998e50adddd900bb30e1aaaaaed09c2ae9930e2f69f292

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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T11:12:25.528706Z digest=sha256:ee86a6ae774620300f50940707129792882652ead7a70ee4c0356df66a9c85ab

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 2026-08-14T06:32:32.682623+00:00.

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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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T11:12:25.535896Z digest=sha256:788f460c2d2094f42bea36e4412dd6ee5ef3a94fa912b1b1424b750ba0bade9f

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T11:12:25.541721Z digest=sha256:89ebcd3421231a8e527ce25ca61599f7cd0186beb60787200783b55b03d452cf

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T11:12:25.548027Z digest=sha256:29bb960ecd945029e50dd181c5333d19362ef72c43c323e761b76246cf3bf620

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=sha256:7bb99973a10abb6f56d6d81fa557f11c455fb01a2acc878705df7682b9805422

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T11:12:25.569009Z digest=sha256:9cb7c353707a982b7d84f7da73088b8153b892cbd447353852f1e2b9b323ac96

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=sha256:2ef15d5467e4c2503cf274d08aad22437bc4ac2cf428b8c184c05c066806b722

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T11:12:25.581912Z digest=sha256:8c2a09ff7a24a01d3d15f4658e72eaefa28c2457812c5f66cab48126573a2001

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T11:12:25.589687Z digest=sha256:864c071c3cd6bbb1153976fc298e37cfd823246e7000a24fa66000a2287fd749

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:c0736e2438e8c7a56d053253323a0734d07df27cd9ede09612118b16e189c70d

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T11:12:25.608968Z digest=sha256:281e9cc53be8af10f1d44fe1bb2c227c86fa28a0f7470a843a7aecc760f8b72f

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T11:12:25.616091Z digest=sha256:af5b525b9453625e7abb8606c7fe69c73eb6f0d9687a02c57fa4ac964736d4b3

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T11:12:25.622616Z digest=sha256:6f3767b6f7a7da60536810be08c4db17f0a3ed1ead19b156027c059137ac0cee

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 2026-08-14T06:32:32.682623+00:00.

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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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T11:12:25.634315Z digest=sha256:8348fb58a29006c9ad920a3fc92fbe6c22035787ef1838745aa15c06601547d5

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:ae10a2570c01f0a0ef5c8e08c4b38da911651e6baed97b9b60edb231fed82586

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T11:12:25.646945Z digest=sha256:2746ac7800c04a8a55c15ea2e5d99c4ba19e52c60aeef3e6b3674f155189d0dc

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=sha256:77c4acd442b57e96bfb0f88d0090f3685d6d8f56b304ea14e2a8fa1a3e977d36

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T11:12:25.659201Z digest=sha256:6e46637c7c5f3c8b1af56cd1d2c3e9c3ea3bcc4e72553867f54ecd2a9a6ad540

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T11:12:25.665247Z digest=sha256:d8f0d032c6ae1bc54a3dbbaad79e4a7c1b234f1ae4e1228702e10b9811b7e0b6

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T11:12:25.670830Z digest=sha256:dd955395866bf4e5c78ee88682fba894c946a7dad9b6050e6a56e616bb7232a1

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T11:12:25.676476Z digest=sha256:71aa574dc31fd8238577dc76fa5229adb2506e475c7dcfd1a940de3cb8ea012b

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:b8d2956a7d12fb4f38802cbacd3b72da3021329523b8b3350247ec2570608537

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:addc5b5846669fbe823565d20e02b79e17bcc802fbedc376073b33d0eff54f85

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=sha256:9b83ae7c541c500ad413550d3549d8bf37fb8baeac52f8f41135a1c4e6a7944f

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T11:12:25.703980Z digest=sha256:093a7e577c90caf8cbf1a7d177fa2971495fcad6a98d9ccd51c7fc7082e2796c

Pith citing papers

No inbound Pith citation observations are available.