Paper Citation Record · LEDGER

Sequential Circuit as Generalized Symmetry on Lattice

As of 8 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 4 inbound Pith citation observations for arXiv:2507.22394.

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

pith.paper-citation-record.v1
2507.22394 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T11:53:04.240111Z

measured 44 of 44 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T08:37:53.035253Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T12:58:08.517437Z

Reference resolution

40 of 40 outbound references displayed

verified exact1
verified fuzzy18
unresolved21
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a89b72f9-17fc-4897-979f-2a79b4a037d9 · outbound

This paper cites Place one near the first physical qubit and one near the last.

Sequential Circuit as Generalized Symmetry on Lattice Place one near the first physical qubit and one near the last

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:53:04.697396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0e9e7347-977b-41d0-8641-4805b80ebc90 · outbound

This paper cites an unresolved cited work.

Sequential Circuit as Generalized Symmetry on Lattice Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:53:04.689650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3a6b0b02-b53f-4918-90bb-80f30623fb6b · outbound

This paper cites an unresolved cited work.

Sequential Circuit as Generalized Symmetry on Lattice Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:53:04.681836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation dc62eb84-2ff4-41b7-a9b2-54341d21eeb3 · outbound

This paper cites an unresolved cited work.

Sequential Circuit as Generalized Symmetry on Lattice Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:53:04.674143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c68a57ab-3fe8-4c2e-971c-be19f7d04a0a · outbound

This paper cites By following the evolution of the state through this procedure, we see how full symmetry action is achieved.

Sequential Circuit as Generalized Symmetry on Lattice By following the evolution of the state through this procedure, we see how full symmetry action is achieved

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:53:04.666351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b9135f26-7b89-424f-aff0-1481bd9bfea6 · outbound

This paper cites an unresolved cited work.

Sequential Circuit as Generalized Symmetry on Lattice Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:53:04.658323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fd59f386-32c5-4bc6-938b-500714f2fabb · outbound

This paper cites ‘Simple’ objects in the space of symmetry operators are short-range correlated operators.

Sequential Circuit as Generalized Symmetry on Lattice ‘Simple’ objects in the space of symmetry operators are short-range correlated operators

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:53:04.650412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fc6ff8ef-e325-4fd4-a153-54106c250973 · outbound

This paper cites an unresolved cited work.

Sequential Circuit as Generalized Symmetry on Lattice Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:53:04.642226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6acb15f5-614e-444d-9c91-50f8fc428618 · outbound

This paper cites an unresolved cited work.

Sequential Circuit as Generalized Symmetry on Lattice Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:53:04.633852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b84a8fbe-d65a-48c4-9794-f2eb8d0f52c3 · outbound

This paper cites an unresolved cited work.

Sequential Circuit as Generalized Symmetry on Lattice Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:53:04.625534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 239a6570-0669-4fd7-8e0b-05eb29b51fab · outbound

This paper cites (47) where × represents anyon fusion and e is the trivial anyon.

Sequential Circuit as Generalized Symmetry on Lattice (47) where × represents anyon fusion and e is the trivial anyon

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:53:04.617123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 928e04b1-c647-45f6-9983-b95d28dc1a9a · outbound

This paper cites an unresolved cited work.

Sequential Circuit as Generalized Symmetry on Lattice Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:53:04.608645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1ea459d5-8122-4a92-80f7-83e8a98cfe77 · outbound

This paper cites an unresolved cited work.

Sequential Circuit as Generalized Symmetry on Lattice Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:53:04.600542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c29e30ea-fd95-4adb-8699-607e9da13c3c · outbound

This paper cites Gaiotto, A.

Sequential Circuit as Generalized Symmetry on Lattice Gaiotto, A

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:53:04.592233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 76dfe22a-1698-4188-a494-b447d220d718 · outbound

This paper cites McGreevy, Generalized symmetries in condensed matter, Annual Review of Condensed Matter Physics 14, 57 (2023).

Sequential Circuit as Generalized Symmetry on Lattice McGreevy, Generalized symmetries in condensed matter, Annual Review of Condensed Matter Physics 14, 57 (2023)

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-06T11:53:04.171483Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d8344350-3009-4c23-80e1-a479060a4ef7 · outbound

This paper cites Sch¨ afer-Nameki, Ictp lectures on (non-)invertible generalized symmetries, Physics Reports 1063, 1 (2024), iCTP lectures on (non-)invertible generalized symmetries.

Sequential Circuit as Generalized Symmetry on Lattice Sch¨ afer-Nameki, Ictp lectures on (non-)invertible generalized symmetries, Physics Reports 1063, 1 (2024), iCTP lectures on (non-)invertible generalized symmetries

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:53:04.578740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3917076b-c908-4588-90b8-293675d61ced · outbound

This paper cites What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries.

Sequential Circuit as Generalized Symmetry on Lattice What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T11:53:04.177226Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 55f902b7-1fa5-4a7c-bb43-93143286a661 · outbound

This paper cites Feiguin, S.

Sequential Circuit as Generalized Symmetry on Lattice Feiguin, S

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:53:04.570758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 85c1af85-cad0-4a79-8990-d24c64fd0b2b · outbound

This paper cites Inamura, On lattice models of gapped phases with fusion category symmetries, Journal of High Energy Physics 2022, 36 (2022).

Sequential Circuit as Generalized Symmetry on Lattice Inamura, On lattice models of gapped phases with fusion category symmetries, Journal of High Energy Physics 2022, 36 (2022)

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:53:04.563297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3e6ac03d-f342-4fcc-bd77-a1bb2081772a · outbound

This paper cites Garre-Rubio, L.

Sequential Circuit as Generalized Symmetry on Lattice Garre-Rubio, L

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:53:04.555108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6eb12464-568f-4e8d-b927-df488ce32de4 · outbound

This paper cites Fechisin, N.

Sequential Circuit as Generalized Symmetry on Lattice Fechisin, N

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:53:04.547721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 86259368-8175-481c-b89c-1f172fa041f1 · outbound

This paper cites Seifnashri and S.-H.

Sequential Circuit as Generalized Symmetry on Lattice Seifnashri and S.-H

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-06T11:53:04.191121Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6d5387f2-e953-45e6-9ec6-760f391a9fe6 · outbound

This paper cites Lattice Models for Phases and Transitions with Non-Invertible Symmetries.

Sequential Circuit as Generalized Symmetry on Lattice Lattice Models for Phases and Transitions with Non-Invertible Symmetries

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-06T11:53:04.193672Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 082fe1a6-3066-421f-b909-d6218c644242 · outbound

This paper cites Bhardwaj, L.

Sequential Circuit as Generalized Symmetry on Lattice Bhardwaj, L

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:53:04.540237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fee2aa9a-29fd-4d9a-b874-3bd7e5be70b8 · outbound

This paper cites Categorical Landau Paradigm for Gapped Phases.

Sequential Circuit as Generalized Symmetry on Lattice Categorical Landau Paradigm for Gapped Phases

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-06T11:53:04.198773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9e0836af-5e31-4889-bb76-6ea96c0aa221 · outbound

This paper cites Chen, Z.-X.

Sequential Circuit as Generalized Symmetry on Lattice Chen, Z.-X

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:53:04.532285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 38deb730-5c85-4c81-b87e-89a81959b1d8 · outbound

This paper cites Levin and Z.-C.

Sequential Circuit as Generalized Symmetry on Lattice Levin and Z.-C

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-06T11:53:04.204417Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e463aa9b-6354-4bce-bc99-40c84e248676 · outbound

This paper cites an unresolved cited work.

Sequential Circuit as Generalized Symmetry on Lattice Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:53:04.524138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 826aac08-2c46-4cc1-852f-a3851dfcdb2b · outbound

This paper cites Lectures on Generalized Symmetries.

Sequential Circuit as Generalized Symmetry on Lattice Lectures on Generalized Symmetries

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-06T11:53:04.209517Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 46b40140-dd42-4bfe-8e5b-384af49bb229 · outbound

This paper cites an unresolved cited work.

Sequential Circuit as Generalized Symmetry on Lattice Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:53:04.516200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6b6e938e-42e3-40b4-b6c6-a4051d6bffd9 · outbound

This paper cites Ignacio Cirac, D.

Sequential Circuit as Generalized Symmetry on Lattice Ignacio Cirac, D

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:53:04.507394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ee004080-92bb-4895-8e51-5f5740110fc6 · outbound

This paper cites an unresolved cited work.

Sequential Circuit as Generalized Symmetry on Lattice Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:53:04.498335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5e5933a8-46e2-4dfa-8aeb-40858ef3b4b9 · outbound

This paper cites Styliaris, R.

Sequential Circuit as Generalized Symmetry on Lattice Styliaris, R

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:53:04.488144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5b71f5be-c2ca-49ec-be81-5de0a5658e48 · outbound

This paper cites However, this operation also requires a sequential circuit that scales with the size of the loop.

Sequential Circuit as Generalized Symmetry on Lattice However, this operation also requires a sequential circuit that scales with the size of the loop

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:53:04.478119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 41665277-342c-4de1-9639-c4515fd264c6 · outbound

This paper cites Tantivasadakarn and X.

Sequential Circuit as Generalized Symmetry on Lattice Tantivasadakarn and X

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:53:04.469158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e4cb9b61-2f81-452b-a2c5-c531ca82103f · outbound

This paper cites Topological Properties of Tensor Network States From Their Local Gauge and Local Symmetry Structures.

Sequential Circuit as Generalized Symmetry on Lattice Topological Properties of Tensor Network States From Their Local Gauge and Local Symmetry Structures

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-08-06T11:53:04.284915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3589b629-53fa-4926-8102-12c18636f90d · outbound

This paper cites Schuch, I.

Sequential Circuit as Generalized Symmetry on Lattice Schuch, I

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:53:04.460921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7829f4b9-0819-40d7-86d6-ff2c9d373cd8 · outbound

This paper cites Matrix Product State Representations.

Sequential Circuit as Generalized Symmetry on Lattice Matrix Product State Representations

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-06T11:53:04.234363Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d42a18f8-9f8d-4687-928a-39838755054f · outbound

This paper cites an unresolved cited work.

Sequential Circuit as Generalized Symmetry on Lattice Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:53:04.452321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fc863890-0a42-453a-86de-6d8d543b7e34 · outbound

This paper cites Note that replacing all the upper triangular blocks F m,m′ i by 0 does not change the physical wavefunction of the MPS.

Sequential Circuit as Generalized Symmetry on Lattice Note that replacing all the upper triangular blocks F m,m′ i by 0 does not change the physical wavefunction of the MPS

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:53:04.442936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

Observation 9d8f6219-480a-47df-9374-e244bc25ad23 · inbound

Symmetry Spans and Enforced Gaplessness cites this paper.

Symmetry Spans and Enforced Gaplessness Sequential Circuit as Generalized Symmetry on Lattice

Reference 137

Resolution: verified exact; arxiv_id, observed 2026-05-16T03:27:12.953114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5c1935e3-db5f-46a3-808e-d46d560f9050 · inbound

Lattice Gauging Interfaces and Noninvertible Defects in Higher Dimensions cites this paper.

Lattice Gauging Interfaces and Noninvertible Defects in Higher Dimensions Sequential Circuit as Generalized Symmetry on Lattice

Reference 58

Resolution: verified exact; arxiv_id, observed 2026-05-14T20:37:58.396320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2abea62d-1abc-4bc7-a5a6-14cc79cd02db · inbound

Non-Invertible Symmetries on Tensor-Product Hilbert Spaces and Quantum Cellular Automata cites this paper.

Non-Invertible Symmetries on Tensor-Product Hilbert Spaces and Quantum Cellular Automata Sequential Circuit as Generalized Symmetry on Lattice

Reference 58

Resolution: verified exact; arxiv_id, observed 2026-05-15T02:53:33.652646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0c06ff06-9798-4720-8a0c-7378c4f23395 · inbound

Invariants of Sequential Circuits and Generalized Non-Abelian Statistics cites this paper.

Invariants of Sequential Circuits and Generalized Non-Abelian Statistics Sequential Circuit as Generalized Symmetry on Lattice

Reference 39

Resolution: verified exact; arxiv_id, observed 2026-07-03T12:58:08.518983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.