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Paper Citation Record · LEDGER

Automorphic equivalence within gapped phases of infinitely extended fermion systems

As of 12 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2507.13321.

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

pith.paper-citation-record.v1
2507.13321 v2

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:42:02.390713Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

16 of 16 outbound references displayed

  • verified exact1
  • verified fuzzy14
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 668cb07f-1474-40e9-a866-86046ee43403 · outbound

This paper cites Equilibrium statistical mechanics of fermion lattice systems.

Automorphic equivalence within gapped phases of infinitely extended fermion systems Equilibrium statistical mechanics of fermion lattice systems

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:42:04.571540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:42:01.453414Z digest=sha256:8f10437b9e84cf4e90da5fb234cdd8f9547a29989bcc189f740977c564f7ef07

Observation cbed3dd2-3a36-44bd-8202-268b0dd6cd72 · outbound

This paper cites The adiabatic theorem and lin- ear response theory for extended quantum systems.

Automorphic equivalence within gapped phases of infinitely extended fermion systems The adiabatic theorem and lin- ear response theory for extended quantum systems

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:42:04.474656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:42:01.504024Z digest=sha256:4d0923fb7fa848519bf32fb3781b87f64e259448e5802150db118baf65dfcef4

Observation 34a77fb0-5371-48af-9e9a-e0e90179351d · outbound

This paper cites Automor- phic equivalence within gapped phases of quantum lattice systems.

Automorphic equivalence within gapped phases of infinitely extended fermion systems Automor- phic equivalence within gapped phases of quantum lattice systems

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:42:04.344828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:42:01.577649Z digest=sha256:a18a75de1186d17233c76afd82817980f9814244117894560ee6a0902cb8df79

Observation e1165fcc-3ab8-4cdc-ac92-e536c46c2523 · outbound

This paper cites Operator algebras and quantum statistical mechanics: Volume 1: C*-and W*-Algebras.

Automorphic equivalence within gapped phases of infinitely extended fermion systems Operator algebras and quantum statistical mechanics: Volume 1: C*-and W*-Algebras

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:42:04.243727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:42:01.627031Z digest=sha256:9f427ff3e424fdc725824cfed7dd7525eb804aa7d7ef4f877b6a8cfe0366aaf3

Observation 15752fdd-ba3a-496e-8667-923d7c478de9 · outbound

This paper cites an unresolved cited work.

Automorphic equivalence within gapped phases of infinitely extended fermion systems Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:42:04.004689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:42:01.711061Z digest=sha256:75bc726d2115f28aee6489074d92eb9ce47d188cee068de840cd632242574e95

Observation b6ea3828-7968-4c78-acdd-e0cdae02501b · outbound

This paper cites Improved Lieb- Robinson bound for many-body Hamiltonians with power-law interactions.

Automorphic equivalence within gapped phases of infinitely extended fermion systems Improved Lieb- Robinson bound for many-body Hamiltonians with power-law interactions

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:42:03.862474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:42:01.792843Z digest=sha256:4a0ef0d43a2341e1b9d415b62e9f6419d0c6c6848a7ba671839b5af1ede5731a

Observation 70e9a41d-31c9-4157-8107-605d05ed9291 · outbound

This paper cites Phase transitions, spontaneous symmetry breaking, and Goldstone’s theo- rem.

Automorphic equivalence within gapped phases of infinitely extended fermion systems Phase transitions, spontaneous symmetry breaking, and Goldstone’s theo- rem

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:42:03.687010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:42:01.888243Z digest=sha256:e60be2d59e067783334c81ee9fd712bea7ed0f8605f046822292f5a28adb29a2

Observation 45e8dfa2-1abe-4f95-ba8d-b7d85446bd70 · outbound

This paper cites Quasi-adiabatic continuation in gapped spin and fermion systems: Goldstone’s theorem andflux periodicity.

Automorphic equivalence within gapped phases of infinitely extended fermion systems Quasi-adiabatic continuation in gapped spin and fermion systems: Goldstone’s theorem andflux periodicity

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:42:03.441875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:42:01.978222Z digest=sha256:a6756438d9a01127b8eb5f0a84701fd9a909ee634638c18bbaaf8b92316e107e

Observation e7f9312d-5772-4d48-ae08-bfb743b6a36b · outbound

This paper cites Adiabatic theorem in the thermodynamic limit: Sys- tems with a uniform gap.

Automorphic equivalence within gapped phases of infinitely extended fermion systems Adiabatic theorem in the thermodynamic limit: Sys- tems with a uniform gap

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:42:03.328716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:42:02.027739Z digest=sha256:9dd940b09e2f1e44d52c2ff23bd19b241ae39e362a142c5ea3a6bda9af576b8c

Observation 7398c34c-3b7f-4f96-b65f-f79062b319b3 · outbound

This paper cites Hall conductance and the statistics of flux insertions in gapped interacting lattice systems.

Automorphic equivalence within gapped phases of infinitely extended fermion systems Hall conductance and the statistics of flux insertions in gapped interacting lattice systems

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:42:03.239237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:42:02.090043Z digest=sha256:b2d08afe0b96531d6f9e68d251395f8b61dc4ed676dabcf8e42f81774a09cdb9

Observation 9d40a980-d060-4e87-a82c-203a58ee4541 · outbound

This paper cites Adiabatic currents for interacting fermions on a lattice.

Automorphic equivalence within gapped phases of infinitely extended fermion systems Adiabatic currents for interacting fermions on a lattice

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:42:03.151160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:42:02.152095Z digest=sha256:83405a24136c791cd05733b516e9d5c6543fe21d51e376d78a7778b57b33b16c

Observation 9f433675-82c7-45fe-a75e-b12fcd492fc8 · outbound

This paper cites Automorphic equivalence within gapped phases in the bulk.

Automorphic equivalence within gapped phases of infinitely extended fermion systems Automorphic equivalence within gapped phases in the bulk

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:42:03.019314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:42:02.213142Z digest=sha256:74abbc09d7a4553efaf55c5f24584844f851477f2778b606301f95c4f03ec707

Observation 1c3b050d-b3fa-45eb-bda4-c3ab43b5f126 · outbound

This paper cites Non-equilibrium almost-stationary states and linear response for gapped quantum systems.

Automorphic equivalence within gapped phases of infinitely extended fermion systems Non-equilibrium almost-stationary states and linear response for gapped quantum systems

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:42:02.950009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:42:02.247728Z digest=sha256:890593d71c1d244deec4eb97f148d5a2e47dab4d4e38610f3f4d1ea66cfb0f1e

Observation 622d7cbd-6ae6-40f4-85c9-a85b7918cf50 · outbound

This paper cites Lieb-Robinsonbounds,automorphicequivalenceandLPPL for long-range interacting fermions.

Automorphic equivalence within gapped phases of infinitely extended fermion systems Lieb-Robinsonbounds,automorphicequivalenceandLPPL for long-range interacting fermions

Reference 14

Resolution
verified exact
raw_fallback, observed 2026-08-06T16:42:02.615050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:42:02.303063Z digest=sha256:0a53ba920ec25c7d5755197f1d5478c17cc85d2b1497f570efcccbfbfd48249d

Observation c7da6f8d-8bb8-443b-a26a-0eaccde1b842 · outbound

This paper cites Near linearity of the macroscopic hall current response in infinitely extended gapped fermion systems.

Automorphic equivalence within gapped phases of infinitely extended fermion systems Near linearity of the macroscopic hall current response in infinitely extended gapped fermion systems

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:42:02.842319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:42:02.353283Z digest=sha256:a1536e0a513c6fe9aaadb9c4425b34d63fe49ac4c86093d7fe9ea1caec6a6567

Observation eb34bee3-1a5b-478a-b460-4f9077698fdd · outbound

This paper cites Charges and symmetries in quantum theories without locality.

Automorphic equivalence within gapped phases of infinitely extended fermion systems Charges and symmetries in quantum theories without locality

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:42:02.724404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:42:02.390713Z digest=sha256:0271e391ce12031edc10c800783606eb8b52685c4d8ece957d2075d4f96b0744

Pith citing papers

No inbound Pith citation observations are available.