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Paper Citation Record · LEDGER

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions

As of 18 August 2026, this Paper Citation Record lists 81 of 81 outbound references and 1 inbound Pith citation observation for arXiv:2506.03146.

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

pith.paper-citation-record.v1
2506.03146 v2

Coverage vector

measured 81 of 81 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:14:53.198040Z

measured 82 of 82 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-23T17:34:31.211270Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-23T17:35:43.669069Z

Reference resolution

81 of 81 outbound references displayed

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External citation measurements

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Outbound references

Observation 4ffb2fb3-60dd-4623-b35f-5dcdd1a90ba5 · outbound

This paper cites Destruction of long-range order in one-dimensional and two-dimensional systems possessing a continuous symmetry group. ii. quantum systems.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Destruction of long-range order in one-dimensional and two-dimensional systems possessing a continuous symmetry group. ii. quantum systems

Reference 1

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Observation 7f194752-97fb-4883-ae60-2372b0072843 · outbound

This paper cites Ordering, metasta- bility and phase transitions in two-dimensional systems,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Ordering, metasta- bility and phase transitions in two-dimensional systems,

Reference 2

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Observation a64de2e0-701f-4498-adad-800a3adc9ee5 · outbound

This paper cites String-net condensation: A physical mechanism for topological phases,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions String-net condensation: A physical mechanism for topological phases,

Reference 3

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Observation 92db59ab-4654-4d44-91bf-3bbd04676a7c · outbound

This paper cites Sachdev,Quantum Phase Transitions, 2nd ed.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Sachdev,Quantum Phase Transitions, 2nd ed

Reference 4

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Observation 0adcf935-aaa8-47a8-b262-cb592f9199ea · outbound

This paper cites Complete classifi- cation of one-dimensional gapped quantum phases in in- teracting spin systems,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Complete classifi- cation of one-dimensional gapped quantum phases in in- teracting spin systems,

Reference 5

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Observation 35ac24e3-3909-4cfa-9d50-cb6053c0c050 · outbound

This paper cites Detection of symmetry- protected topological phases in one dimension,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Detection of symmetry- protected topological phases in one dimension,

Reference 6

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Observation 6b03a7d8-a585-4e1f-b7ff-738c9902b33b · outbound

This paper cites Fault-tolerant quantum computation by anyons,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Fault-tolerant quantum computation by anyons,

Reference 7

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Observation 742392b3-5ce2-4834-a529-6051eee2e03f · outbound

This paper cites Anyons in an exactly solved model and be- yond,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Anyons in an exactly solved model and be- yond,

Reference 8

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Observation 037c189a-97a3-477a-85e6-30571d142617 · outbound

This paper cites Gapless symmetry-protected topological order,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Gapless symmetry-protected topological order,

Reference 9

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Observation 9f10101c-e0ad-475a-8758-9445959a8fd3 · outbound

This paper cites Intrin- sically gapless topological phases,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Intrin- sically gapless topological phases,

Reference 10

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Observation 9ba3f5ab-82db-4702-ba3b-f1f834581e99 · outbound

This paper cites Gapless topological phases and symmetry- enriched quantum criticality,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Gapless topological phases and symmetry- enriched quantum criticality,

Reference 11

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Observation c1f0c62b-70a1-4f66-9bd3-a12d29a62d53 · outbound

This paper cites Symmetry- protected topological phases from decorated domain walls,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Symmetry- protected topological phases from decorated domain walls,

Reference 12

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Observation f731e171-64f6-49a6-871a-65af1b5bf752 · outbound

This paper cites 1/4 is the new 1/2 when topology is inter- twined with mottness,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions 1/4 is the new 1/2 when topology is inter- twined with mottness,

Reference 13

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Observation dbfa0914-44d4-45e1-b9a1-26ec11e70c2e · outbound

This paper cites Topological quantum memory,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Topological quantum memory,

Reference 14

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Observation 362bbee4-024e-483e-b5e6-1fe3ad1c751f · outbound

This paper cites On thermal stability of topological qubit in kitaev’s 4d model,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions On thermal stability of topological qubit in kitaev’s 4d model,

Reference 15

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Observation 99751b0f-5799-4e26-8812-48a0ece5d717 · outbound

This paper cites Topological entanglement en- tropy,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Topological entanglement en- tropy,

Reference 16

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Observation d001249f-d6fa-4c6b-859c-51d621b0379b · outbound

This paper cites Entanglement spectrum as a generalization of entanglement entropy: Identification of topological order in non-abelian fractional quantum hall effect states,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Entanglement spectrum as a generalization of entanglement entropy: Identification of topological order in non-abelian fractional quantum hall effect states,

Reference 17

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Observation 945b9d0b-4a85-4791-80ad-aecbf1ed8a08 · outbound

This paper cites Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order,

Reference 18

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Observation 79ff552d-1364-44ce-96aa-7f57dbe7473e · outbound

This paper cites Topological order of mixed states in corre- lated quantum many-body systems,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Topological order of mixed states in corre- lated quantum many-body systems,

Reference 19

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Observation 6dc0e833-0b35-443b-ab7e-5b6ca37765ec · outbound

This paper cites Topol- ogy by dissipation in atomic quantum wires,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Topol- ogy by dissipation in atomic quantum wires,

Reference 20

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Observation e7f60d64-bf93-43b5-b744-f72a9a4a0bf2 · outbound

This paper cites Parallel transport and “quantum holon- omy.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Parallel transport and “quantum holon- omy

Reference 21

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Observation 0814a145-5fa3-42df-97b0-1fb042d949f1 · outbound

This paper cites Density-matrix chern insulators: Finite-temperature generalization of topological insulators,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Density-matrix chern insulators: Finite-temperature generalization of topological insulators,

Reference 22

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Observation 344d064e-85df-4cee-949e-e9d3743a9c47 · outbound

This paper cites Topology of density matri- ces,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Topology of density matri- ces,

Reference 23

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Observation 6e9742c5-cee4-4c78-bf46-75aa5ec3d701 · outbound

This paper cites Probing the topology of density matrices,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Probing the topology of density matrices,

Reference 24

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Observation fbdbd4a0-3807-40df-a9b3-c0e9d68a83e0 · outbound

This paper cites Mixed state topological order parameters for symmetry protected fermion matter.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Mixed state topological order parameters for symmetry protected fermion matter

Reference 25

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Observation f7db4f08-5455-4080-98e5-406a55ed2b2a · outbound

This paper cites Topological re- sponse in open quantum systems with weak symmetries,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Topological re- sponse in open quantum systems with weak symmetries,

Reference 26

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Observation 8db4541a-4050-4bdf-88b5-30602039cd6b · outbound

This paper cites Coherent information as a mixed-state topological or- der parameter of fermions,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Coherent information as a mixed-state topological or- der parameter of fermions,

Reference 27

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Observation bf3e43e5-615c-4397-85b0-4aa30f514f65 · outbound

This paper cites Average symmetry-protected topological phases,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Average symmetry-protected topological phases,

Reference 28

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Observation b9895564-2627-4ecc-bd2f-0c5c511905e7 · outbound

This paper cites Topological phases with average symmetries: The deco- hered, the disordered, and the intrinsic,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Topological phases with average symmetries: The deco- hered, the disordered, and the intrinsic,

Reference 29

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Observation 29b9b32d-950d-4077-95c0-3fb8399c2c30 · outbound

This paper cites Quantum Communication and Mixed-State Order in Decohered Symmetry-Protected Topological States.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Quantum Communication and Mixed-State Order in Decohered Symmetry-Protected Topological States

Reference 30

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Observation 87084361-982c-42fa-b35e-18b391556eb0 · outbound

This paper cites Topological indices for open and thermal systems via uhlmann’s phase,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Topological indices for open and thermal systems via uhlmann’s phase,

Reference 31

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Observation 30a24783-5e6c-4de4-84b0-74dec0785581 · outbound

This paper cites Topological phase tran- sitions at finite temperature,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Topological phase tran- sitions at finite temperature,

Reference 32

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Observation 2e9bdf5a-8ad7-4fe9-9150-6a6701d67b77 · outbound

This paper cites Interaction-induced topolog- ical phase transition at finite temperature,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Interaction-induced topolog- ical phase transition at finite temperature,

Reference 33

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

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Observation 1422b7d8-1aa4-42e4-85c4-188d9c63e2c0 · outbound

This paper cites Symmetry-protected topological order at nonzero tem- perature,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Symmetry-protected topological order at nonzero tem- perature,

Reference 34

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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.

source=pdf_text observed=2026-08-07T11:14:49.659438Z digest=sha256:8c1a8724f3e6279b33c8cda603d8d4f12cc6d3eb6f64ed1e5c33800e4faf1ede

Observation 318ebf93-808a-4021-9ff9-a416c7921014 · outbound

This paper cites Hidden z 2×z2 symmetry breaking in haldane-gap antiferromagnets,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Hidden z 2×z2 symmetry breaking in haldane-gap antiferromagnets,

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:15:02.290533Z

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=2026-08-07T11:14:49.732936Z digest=sha256:8a9ab2772dd48ed4a1c6902683c561bed2a862d609fa9388da4f9473eccc0fbf

Observation 51230ad4-6f67-4d7a-8884-c4ed2567f78c · outbound

This paper cites Hidden symmetry-breaking picture of symmetry-protected topo- logical order,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Hidden symmetry-breaking picture of symmetry-protected topo- logical order,

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:15:02.145515Z

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=2026-08-07T11:14:49.812157Z digest=sha256:bcf0d047e19257381893667e6d5e19a3ce6ef0f58da5b9f642b5a159cf08c0da

Observation 7ad518e8-9bc2-4921-a569-3c204d813c80 · outbound

This paper cites Braiding statistics approach to symmetry-protected topological phases,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Braiding statistics approach to symmetry-protected topological phases,

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:15:01.946541Z

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=2026-08-07T11:14:49.907059Z digest=sha256:ba9dd588842b427079e3b68124bff3328d4bc6f152a8ab39a359c132ac9c8cf7

Observation bb8a9e87-1ffa-40e5-b305-247d61608e8c · outbound

This paper cites Quantized topological terms in weakly coupled gauge theories and their connection to symmetry protected topological phases.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Quantized topological terms in weakly coupled gauge theories and their connection to symmetry protected topological phases

Reference 38

Resolution
verified exact
local_arxiv, observed 2026-08-07T11:14:54.453058Z

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=2026-08-07T11:14:50.011725Z digest=sha256:6dbe2b4b16d070f6037e75cbdd1e59bdeb1947d6379057e7d73bbd677ebe4f39

Observation 2d31ab6a-596c-4c04-aa07-05242a3d65c9 · outbound

This paper cites Topologi- cal luttinger liquids from decorated domain walls,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Topologi- cal luttinger liquids from decorated domain walls,

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:15:01.719867Z

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=2026-08-07T11:14:50.124657Z digest=sha256:55826e40d82566a93965acbb38d6d008f0efe827f43e36dfe64686bc84f0d43d

Observation 9d63ecf1-2def-40f0-a891-cc239ee6e331 · outbound

This paper cites Higgs Condensates are Symmetry-Protected Topological Phases: I. Discrete Symmetries.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Higgs Condensates are Symmetry-Protected Topological Phases: I. Discrete Symmetries

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-07T11:14:50.199930Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:14:50.199930Z digest=sha256:457a153ea02560d6ae9962630ff1e01a5c30cba5e461f4f152d2688ce132e006

Observation e4544c5e-e75f-48bb-b634-e867f95d65c6 · outbound

This paper cites Bulk and bound- ary entanglement transitions in the projective gauge- higgs model,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Bulk and bound- ary entanglement transitions in the projective gauge- higgs model,

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:15:01.540972Z

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=2026-08-07T11:14:50.301857Z digest=sha256:c1c50ffdb8cf3a42f31e1a4b88a2e9eed5806fa59ff728f17be1f4b62b83e8d5

Observation d6637bad-46cb-460d-abd4-61299f1153b1 · outbound

This paper cites The Physics of (good) LDPC Codes I. Gauging and dualities.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions The Physics of (good) LDPC Codes I. Gauging and dualities

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-07T11:14:50.390146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:14:50.390146Z digest=sha256:d1b9901de51a532ea53c9ab2b53ca8aaccfc97e00874d98e8d6cf94242815cbc

Observation 505d869b-60e8-4231-aba0-9f409987cd33 · outbound

This paper cites Geometric orthogonal metals: Hidden antiferromagnetism and pseudogap from fluctuating stripes.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Geometric orthogonal metals: Hidden antiferromagnetism and pseudogap from fluctuating stripes

Reference 43

Resolution
verified exact
local_arxiv, observed 2026-08-07T11:14:54.215461Z

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=2026-08-07T11:14:50.475613Z digest=sha256:bbfa946f88573c1aea0d2844e6e71b434d25ab7c04719b1df35ff8dcbddc00b9

Observation d818a097-43b5-4887-a174-b970de1c2776 · outbound

This paper cites Competing orders in a magnetic field: Spin and charge order in the cuprate superconductors,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Competing orders in a magnetic field: Spin and charge order in the cuprate superconductors,

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:15:01.407410Z

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=2026-08-07T11:14:50.556485Z digest=sha256:7b0c111074b281e4531c443b5eaa0eed5f94aba0a09a54113ec5314eab4e1f59

Observation e7567f83-d38f-4d4e-a466-8b1deb251675 · outbound

This paper cites Properties and detection of spin nematic order in strongly correlated electron sys- tems,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Properties and detection of spin nematic order in strongly correlated electron sys- tems,

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:15:01.255160Z

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=2026-08-07T11:14:50.671079Z digest=sha256:0757133d3492f679a201301ab909d134a28cf3bf760ea9368c06510d4b573476

Observation 00d1287b-4beb-4542-973e-135e13655fa9 · outbound

This paper cites Phase diagrams of lattice gauge theories with higgs fields,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Phase diagrams of lattice gauge theories with higgs fields,

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:15:01.121147Z

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=2026-08-07T11:14:50.752361Z digest=sha256:4f94b3179046ced2478e96fae02889179055bb138300cb1b6ef004127324caa3

Observation 2bd6a3ce-e0f4-431c-ada9-77cbd97b5635 · outbound

This paper cites Breakdown of a topological phase: Quantum phase transition in a loop gas model with tension,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Breakdown of a topological phase: Quantum phase transition in a loop gas model with tension,

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:15:00.964844Z

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=2026-08-07T11:14:50.821048Z digest=sha256:b5e8525a9a2c9a5fccc390f45f73c814763c114a05cb72009ef1c7b64e6c4197

Observation 062d9db7-8e5f-4ec6-9933-a2a52c7faca3 · outbound

This paper cites Phase diagram of the toric code model in a parallel magnetic field,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Phase diagram of the toric code model in a parallel magnetic field,

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:15:00.823459Z

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=2026-08-07T11:14:50.915645Z digest=sha256:254ba91120ca7a21c36cc2275c7e9199dffb1c4e258ee81a738e108bfac85057

Observation e5e22efc-dbc1-441c-9413-0dba4c30d109 · outbound

This paper cites Bethe-ansatz wave function, momentum distribution, and spin correlation in the one- dimensional strongly correlated hubbard model,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Bethe-ansatz wave function, momentum distribution, and spin correlation in the one- dimensional strongly correlated hubbard model,

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:15:00.620446Z

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=2026-08-07T11:14:51.041492Z digest=sha256:5e9bbff46969554eee1db53fcf2899e11ed77b1af7d4eb0486bb4615e17439e0

Observation 65411318-4c15-4e8f-9197-60bf1fe7d64f · outbound

This paper cites Geometry and the hidden order of luttinger liq- uids: The universality of squeezed space,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Geometry and the hidden order of luttinger liq- uids: The universality of squeezed space,

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:15:00.492619Z

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=2026-08-07T11:14:51.118647Z digest=sha256:19e78babb49cbc899ff4a2720230b74bfcf6d02808d07dbb17c4b96aae746621

Observation a63badc6-3ad5-430f-8508-c0fd9b706dc9 · outbound

This paper cites Emergent anomalous higher symmetries from topological order and from dynamical electromag- netic field in condensed matter systems,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Emergent anomalous higher symmetries from topological order and from dynamical electromag- netic field in condensed matter systems,

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:15:00.406071Z

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=2026-08-07T11:14:51.187164Z digest=sha256:2c8762f4c39f0bf80d7ab65a73b21abf563b79c8457f0aa2f225f78f2230856f

Observation 82e9a140-ca4d-4da7-a75f-4381c9b7256e · outbound

This paper cites Entanglement properties of gauge theories from higher- form symmetries,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Entanglement properties of gauge theories from higher- form symmetries,

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:15:00.216089Z

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=2026-08-07T11:14:51.306659Z digest=sha256:8e9b8c785ce6ce0b3340bdbcf2d9ffa3ef483285519c306daf1ce7e1b436734e

Observation 77bd953c-0dcf-4e07-ad20-b0789a97d963 · outbound

This paper cites Topological order, emergent gauge fields, and fermi surface reconstruction,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Topological order, emergent gauge fields, and fermi surface reconstruction,

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:15:00.097848Z

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=2026-08-07T11:14:51.381893Z digest=sha256:d9d91f7ec3a21173b2bee7755106b347a21ffb9c10aa00222225c4d7aa0da8e6

Observation a4543ce2-96e8-49c3-8e88-56c283ef5a04 · outbound

This paper cites Persistent entangle- ment in arrays of interacting particles,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Persistent entangle- ment in arrays of interacting particles,

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:14:59.916496Z

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=2026-08-07T11:14:51.450657Z digest=sha256:7d285ac161c8c57e26fa1ffb943017c15a08da692486a9474e6c3340401e285b

Observation 0c4d7616-5105-4780-affe-556be578ed6e · outbound

This paper cites Gauging the Kitaev chain,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Gauging the Kitaev chain,

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:14:59.635356Z

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=2026-08-07T11:14:51.544248Z digest=sha256:3b2e81017c7a6bdab084ecf81a01f14d6c84e65c507e39540933f03ab8f6349d

Observation 7590ac2e-749a-4b38-b5f1-9ea5ad4658bf · outbound

This paper cites Mean- field theory of 1+1dZ 2 lattice gauge theory with mat- ter,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Mean- field theory of 1+1dZ 2 lattice gauge theory with mat- ter,

Reference 56

Resolution
verified exact
raw_fallback, observed 2026-08-07T11:14:54.012375Z

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=2026-08-07T11:14:51.600217Z digest=sha256:68f69f4d544bbf53922592749f32d226f0cb5d859e484d1d9852e8dc092592c6

Observation eed11c1e-cdf1-4d14-b18e-6764e85838dd · outbound

This paper cites Quantum simulation of antiferromag- netic spin chains in an optical lattice,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Quantum simulation of antiferromag- netic spin chains in an optical lattice,

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:14:59.373096Z

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=2026-08-07T11:14:51.671554Z digest=sha256:763b42757ac6bdb470c1b589d1e66a54922652533abbc84a83d346137623a5a5

Observation ae0019f2-84e2-4a49-b937-153a7ca8dd9d · outbound

This paper cites Revealing hidden antiferromagnetic correlations in doped hubbard chains via string correlators,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Revealing hidden antiferromagnetic correlations in doped hubbard chains via string correlators,

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-07T11:14:51.719390Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:14:51.719390Z digest=sha256:de173cf2279a5b760a06a1611b99c867a0a82efa218c052a0871e1588dc9075a

Observation c3e5125e-690b-4ce4-a269-58d858183eed · outbound

This paper cites Coleman,Introduction to Many-Body Physics(Cam- bridge University Press, 2015).

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Coleman,Introduction to Many-Body Physics(Cam- bridge University Press, 2015)

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-07T11:14:51.810428Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:14:51.810428Z digest=sha256:a225e3a50e24bf82f6ddbdaea14a71b1ba941a8e245687d8c8e8eea6fb511b13

Observation 3ecad49c-7a78-4032-a19e-d4d41d75d41e · outbound

This paper cites Perfect sampling with unitary tensor networks,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Perfect sampling with unitary tensor networks,

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:14:59.069726Z

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=2026-08-07T11:14:51.864141Z digest=sha256:49c1c53953fcd0b8f8a56439815c752746c161311841362ce646a5b3506ac29b

Observation 022e90a4-d8a9-4d5f-8ac5-9091db8e0470 · outbound

This paper cites Snapshot- based characterization of particle currents and the hall response in synthetic flux lattices,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Snapshot- based characterization of particle currents and the hall response in synthetic flux lattices,

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:14:58.808827Z

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=2026-08-07T11:14:51.928608Z digest=sha256:2cb64398cbcd2efc2c86d01269af3301d69d6dc266c2c79e7b051b81536d08ef

Observation c023543b-1334-4496-b872-a7ba805afa98 · outbound

This paper cites Statistical localization: From strong frag- mentation to strong edge modes,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Statistical localization: From strong frag- mentation to strong edge modes,

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-07T11:14:51.976179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:14:51.976179Z digest=sha256:8a3a4d2a145c866403561f4fd59a6f8ad9fcba2d0edbb05a0d2cab5b3ce18330

Observation 70831aaf-eb0d-4328-a15d-6277045c2a23 · outbound

This paper cites Observation of correlated particle-hole pairs and string order in low-dimensional mott insulators,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Observation of correlated particle-hole pairs and string order in low-dimensional mott insulators,

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:14:58.570268Z

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=2026-08-07T11:14:52.032699Z digest=sha256:224ddbb6c520ddacd8b2cae14d651d4d0fb031a3e628f90d003e295bdec0b07f

Observation 328df3f7-d4f5-4691-b495-a9a6beec3e19 · outbound

This paper cites Percolation as a confinement order param- eter inz 2 lattice gauge theories,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Percolation as a confinement order param- eter inz 2 lattice gauge theories,

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:14:58.285034Z

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=2026-08-07T11:14:52.103534Z digest=sha256:9605518d158dc43c3c7bc8e0a86dbb35f4886104c957ee74707551b90e1bdfca

Observation 2326fdf1-8a98-43af-91e0-0707ed081f77 · outbound

This paper cites Percolation renormalization group analysis of confine- ment inz 2 lattice gauge theories,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Percolation renormalization group analysis of confine- ment inz 2 lattice gauge theories,

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:14:58.078285Z

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=2026-08-07T11:14:52.183859Z digest=sha256:3c1f0288d35ebfed9daedf4a908fc2cae4804ab02f100f0d948ea7b4a4ab93de

Observation 06b1d0c2-3c1a-4826-ae3a-c9a7efc0d7b9 · outbound

This paper cites Independent e- and m-anyon confinement in the parallel field toric code on non-square lattices,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Independent e- and m-anyon confinement in the parallel field toric code on non-square lattices,

Reference 66

Resolution
unresolved
no resolver link, observed 2026-08-07T11:14:52.251222Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:14:52.251222Z digest=sha256:a2f3cc7a2ed2caa69c0ee58a6089477920c0eb9f21d10d1d0fb46578bc49889c

Observation ad967f0e-049a-4c64-8a03-a8765a1d4d9a · outbound

This paper cites On ising’s model of ferromagnetism,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions On ising’s model of ferromagnetism,

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:14:57.779845Z

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=2026-08-07T11:14:52.337527Z digest=sha256:0ec11bd7114286d001215e8816b978fb9c7ba1bfcc9b5884c630fa75256e4e5c

Observation 24574d01-17d9-46e9-895a-f2d747d5a096 · outbound

This paper cites Duality in Generalized Ising Mod- els and Phase Transitions without Local Order Parameters,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Duality in Generalized Ising Mod- els and Phase Transitions without Local Order Parameters,

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:14:57.473338Z

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 953c52f0-5089-4396-8c9c-2a5c3b85535b · outbound

This paper cites Quantum restored symmetry protected topolog- ical phases,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Quantum restored symmetry protected topolog- ical phases,

Reference 69

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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 c8200b28-0e1a-47b8-b205-0a57decd2c27 · outbound

This paper cites Realistic scheme for quantum sim- ulation of z2 lattice gauge theories with dynamical matter in (2 + 1)d,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Realistic scheme for quantum sim- ulation of z2 lattice gauge theories with dynamical matter in (2 + 1)d,

Reference 70

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

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Observation 3ba9ea31-9113-4f38-8aaf-5d9918a20baa · outbound

This paper cites Quantum spin liquids: a review,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Quantum spin liquids: a review,

Reference 71

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raw_fallback, observed 2026-08-07T11:14:56.785173Z

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 e33d7f34-8621-4bfc-907d-1a737db3b49c · outbound

This paper cites Superconductivity and the quantum hard-core dimer gas,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Superconductivity and the quantum hard-core dimer gas,

Reference 72

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 2adf5a6d-7b4a-4d2f-964a-08de6ae05ff9 · outbound

This paper cites Predic- tion of toric code topological order from rydberg block- ade,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Predic- tion of toric code topological order from rydberg block- ade,

Reference 73

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 8743e1db-6f40-44c0-a59a-918ccf20e17d · outbound

This paper cites Quantum phases of rydberg atoms on a kagome lattice,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Quantum phases of rydberg atoms on a kagome lattice,

Reference 74

Resolution
unresolved
no resolver link, observed 2026-08-07T11:14:52.753359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:14:52.753359Z digest=sha256:ed15fcf186442fe6575a36e19c3e7594d816570bff33399f9d08c5fcd22954b6

Observation 8dfd8e9f-7d44-4832-ab53-765325471768 · outbound

This paper cites Prob- ing topological spin liquids on a programmable quantum simulator,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Prob- ing topological spin liquids on a programmable quantum simulator,

Reference 75

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.

source=pdf_text observed=2026-08-07T11:14:52.809163Z digest=sha256:70b6043b5feff8e2342441ade33b089af96654d88bcbaf61c13fea38f5552d06

Observation 2615beea-4bb8-403b-945c-7de12fa388cf · outbound

This paper cites Renormalized classical spin liq- uid on the ruby lattice,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Renormalized classical spin liq- uid on the ruby lattice,

Reference 76

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:14:55.646283Z

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=2026-08-07T11:14:52.857214Z digest=sha256:f683ca2aae5b3191ebd1a1c7e8fa2d0872db2c3c7ac1f1543117922586472b5c

Observation ffb79716-a44e-4428-acb3-3fb5548783cf · outbound

This paper cites In preparation,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions In preparation,

Reference 77

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:14:55.363929Z

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=2026-08-07T11:14:52.912753Z digest=sha256:6a35784a27c04f62ee4d60cc7816cc6415e2b8ee9bcbd1045b350b58ca61ef0e

Observation 3efb409b-5d7c-41e8-9425-c09eebd64631 · outbound

This paper cites In preparation,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions In preparation,

Reference 78

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 8dfd2cff-9fa5-4d7e-b19e-97c5d16d62a5 · outbound

This paper cites Visualizing Dynamics of Charges and Strings in (2+1)D Lattice Gauge Theories.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Visualizing Dynamics of Charges and Strings in (2+1)D Lattice Gauge Theories

Reference 79

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no resolver link, observed 2026-08-07T11:14:53.061114Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:14:53.061114Z digest=sha256:7f071b272c30a35795f7b6bac608f1b9628a9da9c7e22cba7ddf14c424d076fa

Observation f4bf620a-ed8b-4036-9a0e-6c5d6e0b8795 · outbound

This paper cites Probing many-body dynamics on a 51-atom quantum simulator,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Probing many-body dynamics on a 51-atom quantum simulator,

Reference 80

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source=pdf_text observed=2026-08-07T11:14:53.136550Z digest=sha256:372deb629a847849ae8bada0a74a563f1d0ffaab260982c5f9810b18759a3052

Observation d2bf8484-6634-4d5e-a767-f6fcbf6597c0 · outbound

This paper cites Stabilizing lattice gauge theories through simplified local pseudogenera- tors,.

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions Stabilizing lattice gauge theories through simplified local pseudogenera- tors,

Reference 81

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verified fuzzy
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Source-reported events for the cited work

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source=pdf_text observed=2026-08-07T11:14:53.198040Z digest=sha256:e78d2339b9f698d30146aa90fd083697efdadcfeab7b410b4e49642795a23b8f

Pith citing papers

Observation 33b80397-fc47-436f-995a-606373a56509 · inbound

Geometric orthogonal metals: Hidden antiferromagnetism and pseudogap from fluctuating stripes cites this paper.

Geometric orthogonal metals: Hidden antiferromagnetism and pseudogap from fluctuating stripes Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions

Reference 175

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

source=pdf_text observed=2026-05-23T17:34:31.211270Z digest=sha256:a873a6b5429bb81806fd4a2b8e00b9e1f98cc962a66fb1290b6d012428fba21b