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Paper Citation Record · LEDGER

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase

As of 19 August 2026, this Paper Citation Record lists 66 of 66 outbound references and 0 inbound Pith citation observations for arXiv:2506.19771.

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

pith.paper-citation-record.v1
2506.19771 v1

Coverage vector

measured 66 of 66 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:30:48.409873Z

measured 66 of 66 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

66 of 66 outbound references displayed

  • verified exact2
  • verified fuzzy22
  • unresolved42
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bbf1abf1-aedd-4e9e-87c7-eac4eaf4b4ca · outbound

This paper cites The nature of our solution crucially depends on the sign of the bare fermion mass parameterm 0.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase The nature of our solution crucially depends on the sign of the bare fermion mass parameterm 0

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation d2d2f53d-5f6a-400e-bf12-f3399a279515 · outbound

This paper cites Tang and X.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Tang and X

Reference 2

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 0ffce920-9769-4c93-bfce-465a5d9066fe · outbound

This paper cites an unresolved cited work.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:30:49.206006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation cac460e0-9694-4fa8-b9d6-6c1ebd1529c4 · outbound

This paper cites an unresolved cited work.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:30:49.192495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.156262Z digest=sha256:0737d71fb95f195d87ab17f38a26b90c8b8a8b1024f1c6af8254e32f33325f8b

Observation 9f0fd9b3-e646-4f31-a617-996a72fefb29 · outbound

This paper cites Fidkowski and A.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Fidkowski and A

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-15T18:30:48.160814Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:30:48.160814Z digest=sha256:d98707c2394ba6196453ca93bd17ddb417abd18e8239972805a03175a17f088f

Observation 915811c9-6804-4704-9da9-14098859006a · outbound

This paper cites Beenakker, Annual Review of Condensed Matter Physics4, 113 (2013).

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Beenakker, Annual Review of Condensed Matter Physics4, 113 (2013)

Reference 6

Resolution
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no resolver link, observed 2026-08-15T18:30:48.165387Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:30:48.165387Z digest=sha256:5dd1ee202df99ff40b6b819ea883f3cb6584fe1a85f6c719999508706d1d2761

Observation 39e06772-1b88-48e9-ba28-8670a070183f · outbound

This paper cites Ruhman, E.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Ruhman, E

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:30:49.162283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.169834Z digest=sha256:ad99d52c1df104e4eeda6203c5b9c95b15b811487491100b923ad8a052f94169

Observation ae0ee12d-fcef-4505-aa21-0fc15c0d013f · outbound

This paper cites Ruhman and E.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Ruhman and E

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-15T18:30:48.174659Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:30:48.174659Z digest=sha256:2af3b91b7e2bfb84103704243df7f3db4559c68c1738ae7b227e9926edfa1727

Observation 8c64df57-182a-4572-bf1b-0db95c420823 · outbound

This paper cites Symmetry protected topological Luttinger liquids and the phase transition between them.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Symmetry protected topological Luttinger liquids and the phase transition between them

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-15T18:30:48.518144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.178789Z digest=sha256:4a24088faab47f819e026b7aa87a2ee3381b644b7a68e6e7b1468d8c199217cd

Observation 255cdbc6-7496-4fd9-a8f1-f66ed7048def · outbound

This paper cites Kainaris, R.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Kainaris, R

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:30:49.141393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation dde9faf0-0b8d-4129-a204-d471daa00dac · outbound

This paper cites an unresolved cited work.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-15T18:30:48.187637Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:30:48.187637Z digest=sha256:170263ecb1645b5b155b4eebe6ed217ed1373117e6be104dd3dfb618ab030214

Observation 546434b1-d61f-4ac6-befb-693bfc4f861f · outbound

This paper cites an unresolved cited work.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-15T18:30:48.192132Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:30:48.192132Z digest=sha256:45cf9afdf2d54ea6b3dcab27eef83329c3dcd1e9a5d0c4c1b2c1c7f7750bcfbf

Observation f31296b4-664a-4bce-8f92-0b7421e3d947 · outbound

This paper cites Ruhman, E.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Ruhman, E

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-15T18:30:48.196244Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:30:48.196244Z digest=sha256:8825458bfdc2abe37ddf619ce431167ce5e5aca8bd34b6ba02779392cc533eea

Observation 5a48323a-d384-4502-89eb-4fca3c6b1364 · outbound

This paper cites an unresolved cited work.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-15T18:30:48.200430Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:30:48.200430Z digest=sha256:bcaa28c0f337ddb305e696dc1f510e89b07b03a1502874117a76efe47bd5a155

Observation 48f46884-ea30-454e-b5cd-01d05a9615b4 · outbound

This paper cites Keselman and E.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Keselman and E

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-15T18:30:48.204469Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:30:48.204469Z digest=sha256:43770ca68a3d456b956a58c1fad7bb469a748117cc07055b326bffb87b84e8bc

Observation 635d82c9-fa5e-4845-9388-74fcbd7bf9f4 · outbound

This paper cites Iemini, L.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Iemini, L

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-15T18:30:48.208444Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:30:48.208444Z digest=sha256:86e7e65c99b24db52b92e518563589bf23de90cbba714659db6113b15d576a61

Observation b1ea692b-ffda-4588-92ef-c7bc06bf2095 · outbound

This paper cites an unresolved cited work.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:30:49.075974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.212486Z digest=sha256:042032e9503dff8bdfba82f13d1ea2208b9250f67d76382652c79049e3a626a7

Observation aeb2387e-9872-4ff3-98db-495e596bc04f · outbound

This paper cites Kainaris, S.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Kainaris, S

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:30:49.062610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.216567Z digest=sha256:2fdebf07883e6f4217994ffb19921fff264c71409f313854b7b8184313e5f12f

Observation 11d5ab61-a967-4db7-8d99-982f3bf7f64a · outbound

This paper cites Scaffidi, D.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Scaffidi, D

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-15T18:30:48.220728Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:30:48.220728Z digest=sha256:2288cddb3b2bdf3f1a0ef2fc2aac0b3baaae8fd42103d563f056cdb0a0e8125d

Observation 1b73563e-9214-4e9a-b3a9-5ef4fd6f161a · outbound

This paper cites Keselman, E.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Keselman, E

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-15T18:30:48.224639Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:30:48.224639Z digest=sha256:bfb7f37276d39a1db12674b0125cc8f9312357d53f977fda2953b598d9d2ee4a

Observation 38c8f3d1-c145-40b4-9dd3-93fa0950e438 · outbound

This paper cites Haldane, Physics Letters A93, 464 (1983).

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Haldane, Physics Letters A93, 464 (1983)

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-15T18:30:48.228527Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:30:48.228527Z digest=sha256:e76f140c4279fcc3fc2d04dedc4439f06d2ac1600e57acb5c77df0d548310163

Observation c7153f04-9d1b-42fc-b282-8cd4e579f720 · outbound

This paper cites Affleck, T.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Affleck, T

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-15T18:30:48.232461Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:30:48.232461Z digest=sha256:c150cbf3234f1e49d192e82cb0bfd66974745041af5faf426455ee93773e8ec3

Observation a47c11dd-3eaa-4df1-aed3-f8d40bc2659c · outbound

This paper cites an unresolved cited work.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Unresolved cited work

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-15T18:30:48.235941Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:30:48.235941Z digest=sha256:6adfc944a49b2921cd82c57f3dffc3e3993479c2c53b5674cb00afaac82e91eb

Observation a93c47e3-561e-4106-81f8-576f3c1d7d88 · outbound

This paper cites an unresolved cited work.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Unresolved cited work

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-15T18:30:48.239341Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:30:48.239341Z digest=sha256:d844af6ef652357c0ee4bb725104035d9594b8e69e4bfe49da65c7e3555a9fcc

Observation ae017e9b-d347-4626-96a9-14fb59a447e6 · outbound

This paper cites an unresolved cited work.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:30:48.996186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.242732Z digest=sha256:79cafaedb562d5965d5906858939d6c9631ab9dcaaf5f9560ec6fb19f3b1ce88

Observation 58f9eb22-6c80-480a-82f0-b58f596e3db2 · outbound

This paper cites Bergknoff and H.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Bergknoff and H

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:30:48.982132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.246147Z digest=sha256:7239b1f65a9e953223a450dc7048731c0ebba24822a46bd341a3037067e77833

Observation d27cc5b4-ce65-4b8c-b69e-ab9538b598c4 · outbound

This paper cites Coleman, Phys.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Coleman, Phys

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:30:48.967602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.249714Z digest=sha256:d3ab06a1eaeb84712fd99680f21b0613fbbe09bd08d09bd178f973b52d01b06e

Observation 002397b9-3324-4131-8f9c-539dec848151 · outbound

This paper cites Realizing a Symmetry Protected Topological Phase in a Superconducting Circuit.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Realizing a Symmetry Protected Topological Phase in a Superconducting Circuit

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-15T18:30:48.253833Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:30:48.253833Z digest=sha256:b3501e6d78e3b00364a5d62bcd9cf11bb82605bbb1fe1856b7e31acc4a8256f8

Observation d2a964a6-e90b-48c3-8343-da172585f136 · outbound

This paper cites an unresolved cited work.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:30:48.953610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.257678Z digest=sha256:d1bfd1bbc82c44ad7a88118809ffd96601cb25ba07c0a3907c83b8cdb37d16e0

Observation 6cc4b4f6-dd13-40b4-9284-ea9e4e18c2f3 · outbound

This paper cites Jackiw and C.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Jackiw and C

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-15T18:30:48.261259Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:30:48.261259Z digest=sha256:fcd5ad97afae0bc8ffc5edcc78f6d8ac9d1d75df327e272af96f772ade550d76

Observation 31acf58b-0670-461a-a8ea-427b6041c690 · outbound

This paper cites Jackiw, A.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Jackiw, A

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-15T18:30:48.264800Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:30:48.264800Z digest=sha256:9a4b60a3be2aa84bc9989732ade4b36a2e7b66eea510bb78d9c248a6fe4af7e7

Observation 0626edc3-0613-412f-83d2-4b6700fbbb1b · outbound

This paper cites Duality symmetry, zero energy modes and boundary spectrum of the sine-Gordon/massive Thirring model.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Duality symmetry, zero energy modes and boundary spectrum of the sine-Gordon/massive Thirring model

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-15T18:30:48.268428Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:30:48.268428Z digest=sha256:b6a65690733aae4a460717ed1779602cbef83f794beb9941f7314224e8a93e22

Observation 3e094e37-3251-422b-8968-fd9741724df4 · outbound

This paper cites an unresolved cited work.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Unresolved cited work

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-15T18:30:48.272829Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:30:48.272829Z digest=sha256:040b6e63d9ba826a47ee9dd21a3db63421770eabf5bd152c28c8aa4c4d9344ad

Observation c5b12772-1c46-4d75-ac31-b8ef79fb96c7 · outbound

This paper cites an unresolved cited work.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:30:48.914164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.276851Z digest=sha256:c837fc19545950a637a3e3a589a5148ccf0f8c8ffa04f6384fd2c88353cc692a

Observation 9b579210-804b-4f85-92d1-aefa4911c388 · outbound

This paper cites Gomes and J.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Gomes and J

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:30:48.901749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.281069Z digest=sha256:c73de4a26a8bb668278f1db202e5fe34c40f5f02c00cbbc717b921ef84b372cb

Observation a48003a2-4513-402f-8e3f-d789b2c1a443 · outbound

This paper cites an unresolved cited work.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:30:48.888290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.285239Z digest=sha256:830127492bbb52412dcb55b9f618252631711c260b5ef5c5de7ff840f1aa74f9

Observation a6ec6e0e-9d22-4d45-aa2e-26be0e1ea94e · outbound

This paper cites Hahlen, Nuclear Physics B102, 67 (1976).

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Hahlen, Nuclear Physics B102, 67 (1976)

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:30:48.874701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.289384Z digest=sha256:927f097e1c6ddd5020335f7f3b23f1d803fa1f2c8a6ae642af046ab1305822a3

Observation d741959f-f629-4ae1-977d-6a33a2e8b981 · outbound

This paper cites Seiler and D.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Seiler and D

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:30:48.861557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.293615Z digest=sha256:1a089eebc3f6c1dd0cb8d705417d17265ec40761e1148369df360c7e7b7524be

Observation 11dcec98-2198-45a8-bc99-77aafaf3faeb · outbound

This paper cites Skorik and H.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Skorik and H

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:30:48.848126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.298053Z digest=sha256:2aea078845a343b36cad740b4ff479a3eba93bf325bce96eb5d2e5c1b3c8ef89

Observation 67ff986f-e27f-4c5c-b4e4-b3a746e44c12 · outbound

This paper cites Japaridze, A.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Japaridze, A

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:30:48.834989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.302225Z digest=sha256:349c881a21b87bf359b998883972428cac16080bc83870f582b758869b168558

Observation cd3d41d3-4203-4865-90f9-be741f3ca6eb · outbound

This paper cites an unresolved cited work.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Unresolved cited work

Reference 41

Resolution
verified exact
doi, observed 2026-08-15T18:30:48.455562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.306248Z digest=sha256:740e42dac445539662f6a7c82182918e694b9299320cfa0b8255464fbc1c5405

Observation 99464088-dde5-406d-b4e5-1f6bb633e30a · outbound

This paper cites an unresolved cited work.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Unresolved cited work

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-15T18:30:48.310191Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:30:48.310191Z digest=sha256:bd5c7040c8075520019da106fe2aa44aa9a9cad09908dd0a74fb5b035c9eab3a

Observation 210b6187-a552-4a64-87c3-3ad999057f54 · outbound

This paper cites an unresolved cited work.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Unresolved cited work

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-15T18:30:48.314175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:30:48.314175Z digest=sha256:71b5f4ed9175ef5a1000becf086af95f1a05bdba59a9710cd3a94cc359270973

Observation 56049e35-8de5-4a51-9262-9081c1e03e07 · outbound

This paper cites an unresolved cited work.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Unresolved cited work

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-15T18:30:48.318474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:30:48.318474Z digest=sha256:0433009723d00902b6abc680fcd599f610b83eab80f82a561c22456b13ffcc14

Observation a6d75ec4-a77b-420b-970e-7915ba382ed2 · outbound

This paper cites Emergent boundary supersymmetry in a one dimensional superconductor.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Emergent boundary supersymmetry in a one dimensional superconductor

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-15T18:30:48.322653Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:30:48.322653Z digest=sha256:e351676a105fe6d58db986431b00ae06e43a82d650813950c862e9989e6a525a

Observation c7db5c76-1205-4618-8ca8-5f2ed96a77f2 · outbound

This paper cites Grijalva, J.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Grijalva, J

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-15T18:30:48.326677Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:30:48.326677Z digest=sha256:4d2539a20ac3863b7afbe62acc7a65c18bce7bc83841076e2b2f88bccd9c6fe0

Observation b15b8606-0ee1-49f8-a614-e9337941cc63 · outbound

This paper cites an unresolved cited work.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:30:48.794659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.330394Z digest=sha256:9ad847b0c11631a8d6efbdd57d0cf6252dfec8d204759ccce4bd811ff275458b

Observation 57072b1d-dbd4-480f-b4b5-04b7a1114e0f · outbound

This paper cites an unresolved cited work.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:30:48.781398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.333946Z digest=sha256:89697b81d776358b8208e70b6e57fa43998f1a88d832302d93fd4a65bf966fe3

Observation 16c03046-55cc-462b-b5e6-e8613e8362a1 · outbound

This paper cites an unresolved cited work.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:30:48.766948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.338701Z digest=sha256:d3322edddf13ce1e2ff825a36c7d9380a95718632b459dcfe71b998bb9812191

Observation c7961a75-270b-4b86-8101-09962c8d17ee · outbound

This paper cites Due to the interactions in the Hamiltonian, the ordering of the particles is important.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Due to the interactions in the Hamiltonian, the ordering of the particles is important

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:30:48.753388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.343025Z digest=sha256:4c7074da66801eccbad962034a878cb5a3c505857387e0f4e18c05ed520aab3e

Observation 8d9538dd-d1e1-4e85-b6da-85083c8447a0 · outbound

This paper cites mid gap phase.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase mid gap phase

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:30:48.740314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.347366Z digest=sha256:2a544d92d8de4074ddce816947c56720492118dec1270e09e6fa28a9061062a2

Observation c7135ccd-7161-4217-80c2-5caa7b4141ea · outbound

This paper cites an unresolved cited work.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:30:48.727472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.352424Z digest=sha256:bd94c75aa79b2e812a405f2f2f44a104ec30eb2daf02f0d687037b7ca57d890c

Observation dbe86851-7fda-45d2-a466-bd2051bf8f0d · outbound

This paper cites Form 0 >0, they correspond to the following domains of the boundaries fields 0< ϕ L,R < u, (−u < ϕL < 0,0< ϕ R < u),(−u < ϕL <0,−u < ϕR <0),(0< ϕ L < u,−u < ϕR <0) respectively.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Form 0 >0, they correspond to the following domains of the boundaries fields 0< ϕ L,R < u, (−u < ϕL < 0,0< ϕ R < u),(−u < ϕL <0,−u < ϕR <0),(0< ϕ L < u,−u < ϕR <0) respectively

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:30:48.714790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.356665Z digest=sha256:d9f0605f7a29ad11c04815538d7618608230bd527c8f03b070a9a09c6b96e4de

Observation 232a62f9-348c-486c-a4ab-5812a6fac5e4 · outbound

This paper cites an unresolved cited work.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:30:48.701216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.361252Z digest=sha256:7d2605eb4fb875d4281f55f9976aab76bce039cc699d8f5dcd071c2dfaaa81b0

Observation 06a17fa4-df02-456d-86c3-71fb29bb393e · outbound

This paper cites The energy difference between these states is mL +mR.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase The energy difference between these states is mL +mR

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:30:48.687514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.365068Z digest=sha256:0eb1847125a82e2b91bb3cc282d6920d6aca2af88f710d219b079964d55d6812

Observation b01191dc-c6f7-48db-ac1c-b7a8c605d7ef · outbound

This paper cites The state|1⟩contains two bound states at each edge and has energym L +mR above the ground state.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase The state|1⟩contains two bound states at each edge and has energym L +mR above the ground state

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:30:48.673696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.369067Z digest=sha256:307691397199d63eaf2ba42f4aca0aa7ebccc64386f74148e96f3c9d607069f5

Observation 732ac0a9-b5d3-49be-8ac1-276feee8d2e8 · outbound

This paper cites an unresolved cited work.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:30:48.660149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.373368Z digest=sha256:135c25f8ef0b2e020bc4b2b6000d47773396c76f5cc890550aca0b8ced99c774

Observation bdb4111c-047b-4349-beb0-2a70a403e447 · outbound

This paper cites Similarly, the state|0⟩ R has energy−m R with respect to the state|1⟩or equivalently, it has energym L with respect to the state|−1⟩.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Similarly, the state|0⟩ R has energy−m R with respect to the state|1⟩or equivalently, it has energym L with respect to the state|−1⟩

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:30:48.646764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.377288Z digest=sha256:389d0741daf2639d6d4c3bc20a561d8ff623b4c79d459c2d4da087b5692425d8

Observation b63e051b-b6f6-4a7c-b0a0-95251adc3211 · outbound

This paper cites an unresolved cited work.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Unresolved cited work

Reference 59

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:30:48.632860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.381179Z digest=sha256:da50805afc9c446159666dc917227fc549145f5f73a92b34ef418690d30bd57d

Observation 015919bc-f5f3-46d7-9d2a-23274d0117a4 · outbound

This paper cites an unresolved cited work.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Unresolved cited work

Reference 60

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:30:48.618839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.385219Z digest=sha256:cd2dd23b0a9af966cec6b56bf36845fb06c608afc3800bff8540a865c0664f5e

Observation e23a2157-0ff8-4afd-887e-3ae3c07d7f26 · outbound

This paper cites In this phase the boundary fieldsϕ L,R take values in the following range:−u < ϕL <0, 0< ϕ R < u.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase In this phase the boundary fieldsϕ L,R take values in the following range:−u < ϕL <0, 0< ϕ R < u

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:30:48.604958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.389170Z digest=sha256:8a754ec47fc1680342cf4d26ba334a295fe7b0548c344e1c67e110e5c8c9a07e

Observation 4702ec50-31f7-4985-9d52-f43aea81d614 · outbound

This paper cites an unresolved cited work.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Unresolved cited work

Reference 62

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:30:48.589105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.393723Z digest=sha256:2ee3a794cbc2f33443e76de4ccf7675c3bb78fc3f6251570c275cd9517ba9d48

Observation 68315814-8be6-495a-b0c1-ed2ebf8dfa76 · outbound

This paper cites The energy difference between these states is E|1⟩−E|−1⟩ =m R +mL, wherem R =msinγϕ R,m L =msinγϕ L.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase The energy difference between these states is E|1⟩−E|−1⟩ =m R +mL, wherem R =msinγϕ R,m L =msinγϕ L

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:30:48.575143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.397745Z digest=sha256:a6b9f3c728e4c8a87be2b9caffac417a31e69bb6e9b80a5c2a932dff25a073d0

Observation 0fe7cceb-1cec-4f2b-94b6-f8afd4c38475 · outbound

This paper cites an unresolved cited work.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Unresolved cited work

Reference 64

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:30:48.560911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.401744Z digest=sha256:cf672f7961fd3f9f83d14312e4697346caeb671408a67ec210b6721f316536e5

Observation c2b1b4df-605a-439a-a7fd-d273c948b521 · outbound

This paper cites Forϕ R <|ϕ L|, the states|0⟩ R,|0⟩L are obtained by adding the boundary strings±i(u+ϕ R),±i(u−ϕ ′ L) to the state|−1⟩respectively.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Forϕ R <|ϕ L|, the states|0⟩ R,|0⟩L are obtained by adding the boundary strings±i(u+ϕ R),±i(u−ϕ ′ L) to the state|−1⟩respectively

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:30:48.546204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.405794Z digest=sha256:50d417e0c57dd5c15a085a09cba973c73c7dfa3f7d5c3acceb81dc7f555bcb4e

Observation c02f7472-49e2-4ed4-b9d5-f3bacfcc72d7 · outbound

This paper cites Sinceϕ L <0,ϕ R >|ϕ L|, we havem L <0,m R >|m L|.

Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase Sinceϕ L <0,ϕ R >|ϕ L|, we havem L <0,m R >|m L|

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:30:48.531620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:30:48.409873Z digest=sha256:9bc2fdb6682e631e5e931a40ff62dca8c59dcc20a1cd095c5dcd1fd2d57e217e

Pith citing papers

No inbound Pith citation observations are available.