Pith. sign in

Paper Citation Record · LEDGER

Generalized Multiple Operator Integrals and Perturbation Theory for Operators with Continuous Spectra

As of 16 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2507.23049.

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

pith.paper-citation-record.v1
2507.23049 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T11:10:37.174097Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

19 of 19 outbound references displayed

  • verified exact3
  • verified fuzzy10
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 37910609-4378-43ba-9ba2-ba895d63f4b6 · outbound

This paper cites Iwaniec,Topics in Classical Automorphic Forms.

Generalized Multiple Operator Integrals and Perturbation Theory for Operators with Continuous Spectra Iwaniec,Topics in Classical Automorphic Forms

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:10:37.408484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:10:37.104976Z digest=sha256:f9679ba33e3dbbca2cf5cfb4b90f9611d2be3f14972344dadf227a100c1f6845

Observation da43be66-5ce9-46c8-9277-84f935213055 · outbound

This paper cites an unresolved cited work.

Generalized Multiple Operator Integrals and Perturbation Theory for Operators with Continuous Spectra Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-06T11:10:37.398487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:10:37.108935Z digest=sha256:b8e88e198749f647aa149463531aff7c84977b8cb8109827356b8cab6e77937d

Observation a0a8c6ad-8ac7-45db-b2a1-9eb1345659ce · outbound

This paper cites Sarnak,Some Applications of Modular Forms.

Generalized Multiple Operator Integrals and Perturbation Theory for Operators with Continuous Spectra Sarnak,Some Applications of Modular Forms

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:10:37.388573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:10:37.113430Z digest=sha256:b88f0b90d91f161ad95790bc9da9b05a0ac360e4e03b86e611faa1a65d0859d9

Observation 0cc0c64b-7277-475e-8e98-1c0ec91a6713 · outbound

This paper cites Trace formula in noncommutative geometry and the zeros of the riemann zeta function,.

Generalized Multiple Operator Integrals and Perturbation Theory for Operators with Continuous Spectra Trace formula in noncommutative geometry and the zeros of the riemann zeta function,

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:10:37.377890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:10:37.117293Z digest=sha256:93e58485d9d402f559e06208d561d7473b399190536f7e6f19deabb2e6fada41

Observation 1e64304e-01c7-46f5-8128-cc7276f9004a · outbound

This paper cites A probabilistic approach to the leader problem in random graphs.

Generalized Multiple Operator Integrals and Perturbation Theory for Operators with Continuous Spectra A probabilistic approach to the leader problem in random graphs

Reference 5

Resolution
metadata mismatch
local_arxiv, observed 2026-08-06T11:10:37.264372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:10:37.121137Z digest=sha256:7fbc5cae533018d9939a220855bf1e49d355d5d653b4ff6a35d7ec8005138d5c

Observation 434d0d48-9444-452a-a027-11088c3d68e4 · outbound

This paper cites Connes,Noncommutative geometry.

Generalized Multiple Operator Integrals and Perturbation Theory for Operators with Continuous Spectra Connes,Noncommutative geometry

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:10:37.366207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:10:37.126178Z digest=sha256:59184110b871ad62ae25c15730d00f50713eaa4be5db376e6607be8661ad6596

Observation f48552f6-16f1-4354-97b3-1b0082468191 · outbound

This paper cites an unresolved cited work.

Generalized Multiple Operator Integrals and Perturbation Theory for Operators with Continuous Spectra Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-06T11:10:37.356417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:10:37.130599Z digest=sha256:3a69f54b8fa10703a50256db8d953812ac3d45095f85111fa82d3b7e809350e1

Observation 6802a17c-c2f9-4ea1-b0ed-152cb18b61ca · outbound

This paper cites An introduction to the trace formula,.

Generalized Multiple Operator Integrals and Perturbation Theory for Operators with Continuous Spectra An introduction to the trace formula,

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:10:37.346481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:10:37.133770Z digest=sha256:ca5d19c5f4772acf177adf7f382cc02c2a31408a8e913a7280bb8de888048412

Observation 671eb29f-04cd-41dc-b2e4-07290590ebd2 · outbound

This paper cites an unresolved cited work.

Generalized Multiple Operator Integrals and Perturbation Theory for Operators with Continuous Spectra Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-06T11:10:37.336700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:10:37.136975Z digest=sha256:69563c03ce18ad126680129b0d339332944947df5b8fabfad34a1d0945ad5df0

Observation a0f3205c-c026-439c-8fdf-44a4a6e1833c · outbound

This paper cites an unresolved cited work.

Generalized Multiple Operator Integrals and Perturbation Theory for Operators with Continuous Spectra Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-06T11:10:37.326619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:10:37.140577Z digest=sha256:ff294c452135cb7cd0fa79a9f3d10077a221fb877cd8e5978be38a77ab07f7cd

Observation 13c3583c-c1dc-4de4-a4ce-acaf82ae0dfe · outbound

This paper cites Real spectra in non-hermitian hamiltonians havingPTsymmetry,.

Generalized Multiple Operator Integrals and Perturbation Theory for Operators with Continuous Spectra Real spectra in non-hermitian hamiltonians havingPTsymmetry,

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:10:37.316143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:10:37.144363Z digest=sha256:740cf8398d16d89debff0b843d12dbe8a6a803b94c8519cc5356f9ce025a9f81

Observation 2c7f71e2-4927-4bf7-9054-f21e4daa8d39 · outbound

This paper cites Making sense of non-hermitian hamiltonians,.

Generalized Multiple Operator Integrals and Perturbation Theory for Operators with Continuous Spectra Making sense of non-hermitian hamiltonians,

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:10:37.306483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:10:37.148204Z digest=sha256:7ba0ab63208fa5b0159f01b0c364f85b897f5aa688da5aea3e2a046c44c5216b

Observation 0992666f-7ef3-46d1-b849-662d80c7af96 · outbound

This paper cites Engel and R.

Generalized Multiple Operator Integrals and Perturbation Theory for Operators with Continuous Spectra Engel and R

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:10:37.296649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:10:37.152301Z digest=sha256:a88a04ef21de1a4748b48b32698241b581e552b0cea7b25df8785de740f07326

Observation 8784d04e-b2c1-4126-9e14-9c76072bb36a · outbound

This paper cites Zworski,Mathematical Theory of Scattering Resonances.

Generalized Multiple Operator Integrals and Perturbation Theory for Operators with Continuous Spectra Zworski,Mathematical Theory of Scattering Resonances

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:10:37.285968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:10:37.155674Z digest=sha256:0dcc2759433ffe1ba95423bb9b0783b6a26483af6fff308345377db1ed6ea500

Observation 697ea50c-c6a9-4e20-ac0e-e82239d22c84 · outbound

This paper cites Generalized Double Operator Integrals: Finite Dimensions.

Generalized Multiple Operator Integrals and Perturbation Theory for Operators with Continuous Spectra Generalized Double Operator Integrals: Finite Dimensions

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-06T11:10:37.249633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:10:37.159060Z digest=sha256:92b977958bfc4c4111c532d68217eeb8d11030a86a2d1ef9ccb2464ba474c65b

Observation 782156f8-6d21-4c83-a4d1-0419f9d560eb · outbound

This paper cites Generalized Double Operator Integrals for Continuous Spectrum Operators.

Generalized Multiple Operator Integrals and Perturbation Theory for Operators with Continuous Spectra Generalized Double Operator Integrals for Continuous Spectrum Operators

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-06T11:10:37.235416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:10:37.162594Z digest=sha256:e65e8a9ee9f83e1cf3bb11cf17ad986129540c98340b7b9c7fc5617b6eb5ef61

Observation a81b3228-29f9-465b-8a62-6c47d48b7003 · outbound

This paper cites Generalized Multiple Operator Integrals for Operators with Finite Dimensions.

Generalized Multiple Operator Integrals and Perturbation Theory for Operators with Continuous Spectra Generalized Multiple Operator Integrals for Operators with Finite Dimensions

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-06T11:10:37.219900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:10:37.166382Z digest=sha256:a51438e914c90eefc80d11570560d5cee6a65e9bc2db4a9dbd15da7542c96b5a

Observation fab409ab-6440-4f2a-b478-be2060d3e856 · outbound

This paper cites Operator Characterization via Projectors and Nilpotents.

Generalized Multiple Operator Integrals and Perturbation Theory for Operators with Continuous Spectra Operator Characterization via Projectors and Nilpotents

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-06T11:10:37.170256Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T11:10:37.170256Z digest=sha256:d594cb305fe18ad9f4b8e2834a17ef4a81651d4bcb34deb7ff9d8bba8465d68b

Observation 7c2254d7-053b-49c9-ba58-ad3fa759c732 · outbound

This paper cites Skripka and A.

Generalized Multiple Operator Integrals and Perturbation Theory for Operators with Continuous Spectra Skripka and A

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:10:37.275134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:10:37.174097Z digest=sha256:c010f2a2bfaf886fd2fbcc4cb78c5d2e793f4a872fb67d2c371bc58ac42b82b3

Pith citing papers

No inbound Pith citation observations are available.