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Paper Citation Record · LEDGER

Local Noether theorem for quantum lattice systems and topological invariants of gapped states

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:2201.01327.

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

pith.paper-citation-record.v1
2201.01327 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 8 of 8 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 8 of 8 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:57:34.025375Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T23:27:27.178647Z

Reference resolution

0 of 0 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation b8b843a8-dde5-4fc4-b0ef-eaec101526bf · inbound

Higher Structures on Boundary Conformal Manifolds: Higher Berry Phase and Boundary Conformal Field Theory cites this paper.

Higher Structures on Boundary Conformal Manifolds: Higher Berry Phase and Boundary Conformal Field Theory Local Noether theorem for quantum lattice systems and topological invariants of gapped states

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-06T16:54:29.014317Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T16:54:29.014317Z digest=sha256:7dd2db2407b236a9c0e9059f95dd5d1ec17a29c4eb0fd13a558a609361fd7d3e

Observation a201a8ec-df72-4611-bde0-2a03248d3258 · inbound

Space of conformal boundary conditions from the view of higher Berry phase: Flow of Berry curvature in parametrized BCFTs cites this paper.

Space of conformal boundary conditions from the view of higher Berry phase: Flow of Berry curvature in parametrized BCFTs Local Noether theorem for quantum lattice systems and topological invariants of gapped states

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-06T16:57:34.025375Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T16:57:34.025375Z digest=sha256:b7b80292cb53a996eb8babd7119358b4e37b9624fb75219e81fca08a72464e48

Observation acbb0d13-b0a7-4e1c-9d06-0bf4ec1770d0 · inbound

Higher Connection in Open String Field Theory cites this paper.

Higher Connection in Open String Field Theory Local Noether theorem for quantum lattice systems and topological invariants of gapped states

Reference 50

Resolution
verified exact
arxiv_id, observed 2026-05-15T22:56:49.558416Z

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.

source=pdf_text observed=2026-05-15T22:56:16.855782Z digest=sha256:6ed012a2bd3c6d3951b4e5ba8645860fdca2e176d4725c3e8cb23e93ba26ca11

Observation 029c871f-71a0-4a9d-bd66-581231716365 · inbound

Parameterized Families of Toric Code Phase: $em$-duality family and higher-order anyon pumping cites this paper.

Parameterized Families of Toric Code Phase: $em$-duality family and higher-order anyon pumping Local Noether theorem for quantum lattice systems and topological invariants of gapped states

Reference 40

Resolution
verified exact
arxiv_id, observed 2026-05-12T10:41:31.054825Z

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.

source=pdf_text observed=2026-05-07T04:07:13.027020Z digest=sha256:0d83dd717ecc922d605354a7bfd85200101989e61fbd6de178e399578cdce099

Observation 714886fb-5c7b-4873-b0fb-a037b5dbbedf · inbound

Local Topological Quantum Order and Spectral Gap Stability for the AKLT Models on the Hexagonal and Lieb Lattices cites this paper.

Local Topological Quantum Order and Spectral Gap Stability for the AKLT Models on the Hexagonal and Lieb Lattices Local Noether theorem for quantum lattice systems and topological invariants of gapped states

Reference 25

Resolution
verified exact
arxiv_id, observed 2026-05-13T03:17:11.167365Z

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.

source=pdf_text observed=2026-05-13T03:15:59.419092Z digest=sha256:b676440e0fecb5436a4565e8932ca9ea1f33e690b45d2813457006ac865cea21

Observation e37fcb54-a4a9-44b3-b63c-ace393f028bf · inbound

Local Topological Quantum Order and Spectral Gap Stability for the AKLT Models on the Hexagonal and Lieb Lattices cites this paper.

Local Topological Quantum Order and Spectral Gap Stability for the AKLT Models on the Hexagonal and Lieb Lattices Local Noether theorem for quantum lattice systems and topological invariants of gapped states

Reference 25

Resolution
verified exact
arxiv_id, observed 2026-05-19T17:47:41.732821Z

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.

source=pdf_text observed=2026-05-19T17:44:55.617832Z digest=sha256:76c35cde16f07a8bf70833ff0b76f1bc53c26b716937dbfb6c6cd885a153b0ec

Observation b527014b-cf55-4852-b60f-b5253e92d057 · inbound

A local description of strong symmetries and strong-to-weak symmetry breaking in quantum many-body systems cites this paper.

A local description of strong symmetries and strong-to-weak symmetry breaking in quantum many-body systems Local Noether theorem for quantum lattice systems and topological invariants of gapped states

Reference 121

Resolution
metadata mismatch
arxiv_id, observed 2026-06-29T11:43:23.115932Z

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.

source=pdf_text observed=2026-06-29T11:42:51.655279Z digest=sha256:11798b0aa2fa9deef8353c0e4b94a1692f2afb4416bbf736e98422ef4b315b37

Observation 00529b0e-ecca-474d-b088-e6996b4b90e4 · inbound

Microscopic universal theory of symmetry-enriched topological quantum spin liquids cites this paper.

Microscopic universal theory of symmetry-enriched topological quantum spin liquids Local Noether theorem for quantum lattice systems and topological invariants of gapped states

Reference 51

Resolution
metadata mismatch
arxiv_id, observed 2026-07-02T23:27:27.180117Z

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.

source=pdf_text observed=2026-06-27T18:15:03.426811Z digest=sha256:448f9baabbb9e3748c91f885c95dd198b6910f4a34a575845029273d3d43c976