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Paper Citation Record · LEDGER

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

As of 21 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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+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
raw_fallback, observed 2026-08-15T18:30:49.219372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.151662Z digest=sha256:debb7259b80719ac7d4d89a6bbf20eee6d6baa4bcd84a9c562768efc7abf265d

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.156262Z digest=sha256:ac7d9d9a6730a371833161144817e421612357b6e8f48de8a93bb2e9ac803393

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=sha256:5b00eed3fcd3356beddfde8f6085b05b9cbe3bd7c0be27551932856235879973

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=sha256:698a34200a56c3fdf3733f76070a445c1de80652ccbb87490e99287a0f9117d9

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.169834Z digest=sha256:401668d47ba4893e26a977e6a9e61b157cf0931703f9183f5f2a26c08706c49a

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=sha256:1d0d42513eb47af94700792cfd11ec5822b2dd534bb768dc8792b362e26b56a6

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.178789Z digest=sha256:d10d0cbde667a1bdd3a508155113b0fb783779ae59b261b3614f4417e140c1f5

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 2026-08-21T06:32:19.484+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=sha256:023c74d25b3b497a5b8f3f411392a9d022aadd13d31cc3fb77fd1909b5b7c490

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=sha256:0895015ab4f93847de05d60858ce11e058d30b41bdb7ac0f4d0966261de50edb

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:bd6fc2eaedc6ccee4f675fe5925f4940b456dd362764f7fee6218f342d50411f

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=sha256:630ce1b35b7fa2e73e3751fa593d3e33c7669f43e09439465549ca65d7d5e4d2

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=sha256:14a0f75078a3ddb040c8d34ace913d879968266d87ac285c11f00f88725b8550

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=sha256:5f17df951e74b27952c83b3036a42181e560c41de6c60a752b34fdcf3429bf17

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.212486Z digest=sha256:9e43ccb9ed2f850c37a87d6d002c3cd5f77e8c4da88fd0eefea474d9283c0c6b

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.216567Z digest=sha256:6a8b2f238b61017c1327a5cae5d1eb87cfed56c3f997112d0b7f11f7dd0df1cf

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=sha256:5ca1fad2f0cc842d91cd2cecee26557c6af0e3eece2d0f75b4850cbc34c552f1

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=sha256:2012054206b863e00e69d6def863fc9b054c614a5df54de7356095abd86df4dd

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=sha256:2eef01ffcc6cf91492100d72d106e4db74f5bf7105305d202241c73ba07a25bb

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:b1e5c27259b61674987edd36ef1f2c774ad2e540218e180344b68d42212c8e1f

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

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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:d8f2634cb364b437ae2d96351c7eadaf7c8a51ea0118363986f4555b2e56ca00

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=sha256:098b30bcdd2fdcfa40d31da63f72fc91b0fc216682bec1782257ac75ff44eefe

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.242732Z digest=sha256:1e3fc310784e6b275ab606d71f12a8183aa9e0702c5e1068085eb8dd7522a746

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.246147Z digest=sha256:87eee76490d2c28757cba2e0e15a171e3c313739467e543ab3349d8f1e120991

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.249714Z digest=sha256:195b696876699bfc2ad7b502e263dda17a8359420ffc495baf8a5f8c5a1cfc0e

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:a2fb929950c74e720831265e99c2a3b7ab6f9fae8dd7546e9c81e7d5c12183a1

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.257678Z digest=sha256:343ee5699ef905391bb318c31a4b3f2d21feb9b28ec1489b6afeac1ae7533d77

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=sha256:86f63202b3647b85675cb90d757f4af76728b97233000a53bf907d64df5697fd

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:e23d7c4e0b691373beb86a7448d007657ec10f3335a5fa57413c285e68e9aa05

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:f881035b9ec28f78ac6f6d6fb5e11b5f52ed9c40bc12e98bc1212a06cc4e9f40

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=sha256:9c516e3acc7a58e61570a9680ff5412a83be6e7397d786eaa04b216c85bd2ab1

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.276851Z digest=sha256:b480f6311d7d14061727e66d0374040e067399cc85c315dddb4b896fba05adf3

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.281069Z digest=sha256:536da9513b1c8951a9bdd6ec83c33d0f48c1fea5f7968a15b337b4db04133209

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.285239Z digest=sha256:e763c36ef19771ac96da4fd1a95692d2bb7e3dab96483106c419dbee03b939aa

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.289384Z digest=sha256:fb2a8f01aafaa3da91597ae9a675f7a276943eb4d9dc7bcac0d2af7102367739

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.293615Z digest=sha256:10a8354f6be77e6291189c4e1e441ec178d2d230f9ec70401a4b343ee88533ad

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.298053Z digest=sha256:abe159f73ec1cc5f4c55cf312f73508521cb6a703183324d24a94c1561fe8344

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.302225Z digest=sha256:891564053ebdeea86dcafc9004407fd153600890ecf19cdf63d5d563b5d838f2

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.306248Z digest=sha256:dac238f10a4b559bfbc434f3431d49c334c7c77a2fcb71519e579bc5591051ea

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=sha256:62d4e51e1a8f606bec581583b6f5e7cf6704b8b424ea6f86d65a1cdb9b501c97

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=sha256:24da215528c9468896b7dc28d502af6f0e73f3b29a462074d7ead63626eb26a4

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=sha256:890eb1ce0c06cdbc464ca858360ac69defddd48b85ecf0826398bfa3921bf77f

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:ab39c64a3f3d0783058597d90962268a1d74d9fb56bd8fcc33c7fab57f59f461

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=sha256:612489058e143e0131c6b1e02a5178215a25e39c0051b35380372a227cce02c9

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.330394Z digest=sha256:b7c29004649e77b72a5732b635a834b5d17b60a1bcf0792bb8e5a032f3667bc1

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.333946Z digest=sha256:b661eb87e25e691359e84756c5aa1c2e5a9c9c20a15c9bc110aa4e143abff238

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.338701Z digest=sha256:6cddea9e8482866a07567b5a25a22235b82ab0a96b184eb9a16c7cfc78bc2999

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.343025Z digest=sha256:a995578a4b30316bc290d477af645f7773123ebf79179c732669008abe1ec431

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.347366Z digest=sha256:4e9807511e9edb7a559a8dee9016772ceccf8967a04ce507a131113992da7c5e

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.352424Z digest=sha256:c5592a6de802bc34170d34afe8d814484366b43ebc95af6f1730598deefa1b0b

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.356665Z digest=sha256:cf35d7d7d8651cd116910abc78df3474a83ec884c0001e5e046d628c91a2464b

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.361252Z digest=sha256:2007eb26413b5c66a601af54162ab565be636b5bd2159293ca94b2dfeaa6d704

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.365068Z digest=sha256:1146e5588ac61f4b40ea62708b439a152925e827c0fe494333bac0bee5902356

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.369067Z digest=sha256:f32a7196a02d77d614dcecc023e55cb71c0ab6f24df397df5736b33bd074d155

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.373368Z digest=sha256:97e1b4cf21e2b0b8ff018d45600d385cc30848b510ed0a8f628e5603695dd93a

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.377288Z digest=sha256:c60d9ee112890a67d87190018a5a144837ae9d9576c32c0a19246450f7d9a677

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.381179Z digest=sha256:7fa047d1fa9b70406582fb46fb4a63c4f09de188c64193dc450e480ee8bcc078

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.385219Z digest=sha256:7216f3125ea1a9c3e108edc9a144c4e2ad6c575eb113ce0c9c78b368f18fc72e

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.389170Z digest=sha256:6d779e56a47119bfee11547b7f236a88d0661d8e9d40b120e09fc53766dec31d

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.393723Z digest=sha256:789e347c31a8cc894115e975c9bb020d7ee71d30da9d2ed7aa3dd7538d62acc8

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.397745Z digest=sha256:7fa0305c3cf4b07c90600c128ef57ad4abe97148a4889570d376ef31a7f7ddaf

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.401744Z digest=sha256:0c1fe0a32b783b8e1102c418ca6909b64064162ec3406b5895349a490051d6b2

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.405794Z digest=sha256:d8dec06a31c7a465638bfd341494570ac3e608e293bdc1fefaac7eaed271e910

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T18:30:48.409873Z digest=sha256:049b9059219c3f31cd7532fd750dc2e0d69039dfd466cb132c67180a8df9040b

Pith citing papers

No inbound Pith citation observations are available.