Pith. sign in

Paper Citation Record · LEDGER

Distances between operators acting on different Hilbert spaces

As of 22 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation for arXiv:2412.13165.

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

pith.paper-citation-record.v1
2412.13165 v2

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T13:36:51.983239Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T08:26:17.440720Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

28 of 28 outbound references displayed

  • verified exact0
  • verified fuzzy20
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6d7b821e-38d6-4c8a-accc-e01a6a5614b0 · outbound

This paper cites an unresolved cited work.

Distances between operators acting on different Hilbert spaces Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:36:52.271997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.893525Z digest=sha256:e399885a05d4286e57caf28534b4f1fbbce66fb06c738532c976bd535243d38b

Observation 071e2bc2-4af6-4016-b098-8da8ceef87f2 · outbound

This paper cites an unresolved cited work.

Distances between operators acting on different Hilbert spaces Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:36:52.262076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.898062Z digest=sha256:b7c6f109a1eb1afd6bccdeaccc32745f32cfb3f91d112eba72b1d0ba42c671be

Observation c01b7a7a-1c35-4a8f-9685-520514f92de2 · outbound

This paper cites an unresolved cited work.

Distances between operators acting on different Hilbert spaces Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:36:52.252270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.901736Z digest=sha256:bff88f834c5843bd8a9f95aeb3beda70bb0903df8853c3b9080fac050033f0fa

Observation 028acc4f-51e3-4334-9c3d-a435418e9f43 · outbound

This paper cites Ann\' e and O.

Distances between operators acting on different Hilbert spaces Ann\' e and O

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:36:52.243562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.905216Z digest=sha256:2f39688bf15617d0b4fbce7e6501844752850c7fa875abe8a071f67ad7c32a4f

Observation 41657048-60a0-468c-a02d-1cfc8a83bb05 · outbound

This paper cites B \"o gli, Convergence of sequences of linear operators and their spectra, Integral Equations Operator Theory 88 (2017), 559--599.

Distances between operators acting on different Hilbert spaces B \"o gli, Convergence of sequences of linear operators and their spectra, Integral Equations Operator Theory 88 (2017), 559--599

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:36:52.234759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.909121Z digest=sha256:b0fdb3f1607623ed0b2158944789bd70ca6c55d896a8f761ac8600818ab50626

Observation f8f2d707-a0d3-4bff-b361-3221027fb31f · outbound

This paper cites B\" o ttcher and I.

Distances between operators acting on different Hilbert spaces B\" o ttcher and I

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:36:52.226203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.912628Z digest=sha256:bb8dfdcfe0a47edeb9f16aff8031d1d3afc9e68d7fc43f41d04cdb33d1bfbd66

Observation ba479f40-9d30-4ecf-93c9-2f46da08f3f2 · outbound

This paper cites Daners, Domain perturbation for linear and semi-linear boundary value problems, Handbook of differential equations: stationary partial differential equations.

Distances between operators acting on different Hilbert spaces Daners, Domain perturbation for linear and semi-linear boundary value problems, Handbook of differential equations: stationary partial differential equations

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:36:52.217223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.916471Z digest=sha256:5e8069ca7a5ff0ce6ba7bac462630cb4a3a24f4e43383cee196345cb62bf1533

Observation 6bad35af-e1db-4a1e-92f0-ab1cb1c4550b · outbound

This paper cites an unresolved cited work.

Distances between operators acting on different Hilbert spaces Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:36:52.207502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.919709Z digest=sha256:75c88f79fd48e0efbb9c258c581cd798edc2bc0bae87ff4f67c964c7cc8e5e4f

Observation ad2faf6a-0338-4be0-b33c-887c40a30b8e · outbound

This paper cites Gellar and L.

Distances between operators acting on different Hilbert spaces Gellar and L

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:36:52.197421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.923113Z digest=sha256:bcfa938671bc45da6c6fc1ebca131756c12a8117147a6c36934bb112e74490c3

Observation 890b997e-112f-474e-8d80-e70ae996bc8c · outbound

This paper cites an unresolved cited work.

Distances between operators acting on different Hilbert spaces Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:36:52.187864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.926562Z digest=sha256:16c5f5e064c1efd58b1a4aca48ebaf9cb789c23b27a6bb59eb6cacd9b158a66d

Observation 327bebba-0a77-441a-aba6-20969e91933f · outbound

This paper cites Herbst and S.

Distances between operators acting on different Hilbert spaces Herbst and S

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:36:52.178433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.929875Z digest=sha256:27eb400acd58817d289680ac1d6f0f4f2bad374c9ad99901308047ff2a9139e2

Observation 3c8eb00a-2e91-41ed-978a-bfa017bdcfd8 · outbound

This paper cites Kato, Perturbation theory for linear operators, Springer-Verlag, Berlin, 1966.

Distances between operators acting on different Hilbert spaces Kato, Perturbation theory for linear operators, Springer-Verlag, Berlin, 1966

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:36:52.169184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.933267Z digest=sha256:ebbc979a68727f94998e3f03095dc0f814f48a82103826fb6e7bccd73baef1a7

Observation 54fbde4d-4247-48f6-b047-8fa68ea04f1d · outbound

This paper cites Khrabustovskyi and O.

Distances between operators acting on different Hilbert spaces Khrabustovskyi and O

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:36:52.159320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.938103Z digest=sha256:737a351706057adcb09039ba01345aa0e40ec3f4376c801abb0e99a6593b7cf5

Observation 6fa120da-80d9-47cf-80f2-6479a72927ab · outbound

This paper cites Kuwae and T.

Distances between operators acting on different Hilbert spaces Kuwae and T

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:36:52.150171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.941343Z digest=sha256:f9899c67d60b9981fa2dc85c56ae7dda681c58b8753bfbe819b4e6e9c7a43269

Observation 7cba0ae4-eaee-44b5-9c52-789ed2ee87b6 · outbound

This paper cites Post, Spectral convergence of quasi-one-dimensional spaces, Ann.

Distances between operators acting on different Hilbert spaces Post, Spectral convergence of quasi-one-dimensional spaces, Ann

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:36:52.141199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.944794Z digest=sha256:1c365af4188ce4a9c565b2809d277a16e85aab4c3b2ac29e89ec5024c0b4ad16

Observation 7180de1d-0946-42dd-b011-66f8c9e08880 · outbound

This paper cites Henri Poincar\'e 10 (2009), 823--866.

Distances between operators acting on different Hilbert spaces Henri Poincar\'e 10 (2009), 823--866

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:36:52.131066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.948441Z digest=sha256:cade59f1fbf928e8946c364053c913289a102ae1f224db9c44a82fb0cb09f28b

Observation 6338abfd-2af2-4070-8ddf-b3b170a83d2b · outbound

This paper cites 2039, Springer, Heidelberg, 2012.

Distances between operators acting on different Hilbert spaces 2039, Springer, Heidelberg, 2012

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:36:52.122227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.951717Z digest=sha256:35f0f17eff3c0cdf301d9699f684f415efeaebb049b8844e596b336e54a1977a

Observation f51c1b2a-caec-42fe-992c-c6d31fef57b0 · outbound

This paper cites Panasenko and K.

Distances between operators acting on different Hilbert spaces Panasenko and K

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:36:52.113209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.954368Z digest=sha256:b979dc941782d1b6cdf9367b179e6335a2a5f5efcb927e30cae40f40b23f9bbb

Observation d36aa48a-8b7a-4520-b816-4d395edba233 · outbound

This paper cites Post and J.

Distances between operators acting on different Hilbert spaces Post and J

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:36:52.104450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.957097Z digest=sha256:ba1809443386bf19bc7f0dd06dc956f82679457ca0fbf284cd21e68d9eb190ba

Observation bf3344a5-a530-4b8c-a027-47ef00b4e0f7 · outbound

This paper cites Roumaine Math.

Distances between operators acting on different Hilbert spaces Roumaine Math

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:36:52.095061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.959753Z digest=sha256:cf40dffa626e4aa5d8eac6fe03f203d1bac798ac6a15eb6043adc3873f177ba8

Observation ddc8885a-328d-4e2d-b4ca-981ef9d7b837 · outbound

This paper cites an unresolved cited work.

Distances between operators acting on different Hilbert spaces Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:36:52.085546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.962629Z digest=sha256:5839e3f3c6182462e080475d246af6f21ed6ace1fab9d6838120a4f424c0e9fe

Observation b30acc0b-f7ef-4042-95d0-0c93f2f67728 · outbound

This paper cites 277, Springer, 2020, pp.

Distances between operators acting on different Hilbert spaces 277, Springer, 2020, pp

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:36:52.076222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.965462Z digest=sha256:f274a541484323825620c6bb2b6fe1dbebb702b483a3680a4af5b09eab22583e

Observation fc6bc249-bd53-4bad-a11f-a6efec535fc4 · outbound

This paper cites Post and S.

Distances between operators acting on different Hilbert spaces Post and S

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:36:52.066127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.968413Z digest=sha256:a564bddd50c4db3b575376a6c1f37890368e1da15a32a64e651628924bb242a5

Observation f897c9d4-e22f-4a73-9e9b-2cac1995076e · outbound

This paper cites an unresolved cited work.

Distances between operators acting on different Hilbert spaces Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:36:52.054896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.971124Z digest=sha256:614b5ad1a08ad131f4f2dac647b574f9e4538da9d44db717a99e5b90153e2bda

Observation fb82efd9-b24f-442f-90c1-b01504d0c566 · outbound

This paper cites an unresolved cited work.

Distances between operators acting on different Hilbert spaces Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:36:52.044754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.973908Z digest=sha256:cf5ac40d52f70d7c454dd8d293bb3f96041bd3d70735ab9bf3fd8856abcde48d

Observation 7a0e6182-4014-4d99-b4e6-b9e5bc0baca3 · outbound

This paper cites Reed and B.

Distances between operators acting on different Hilbert spaces Reed and B

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:36:52.034664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.977067Z digest=sha256:3d1a0706dd5c6d85ac95fd61982909a88acbf26cb9371ca42ac4b74ff2cd4358

Observation 4aafb235-bc10-49c3-98c1-97e995bcf93a · outbound

This paper cites Sz.-Nagy, C.

Distances between operators acting on different Hilbert spaces Sz.-Nagy, C

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:36:52.024846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.980123Z digest=sha256:27b62f5e52d5467fc24c4b300f9bcc67ec2d8dd3d470d94b3f84c9c48fd41624

Observation b13a042d-f03d-41c6-a2de-b53a68f74bc9 · outbound

This paper cites aumen. T eil 1 , Mathematische Leitf\.

Distances between operators acting on different Hilbert spaces aumen. T eil 1 , Mathematische Leitf\

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:36:52.014010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.983239Z digest=sha256:529b9dfbc486bdf359698311363dbb567e00f993e8509794b1ff5a96ad4386dc

Pith citing papers

Observation 2bfb808a-adf7-45f9-84d9-7c6da8c82522 · inbound

Continuum limit of discretized matrix-valued Fourier multipliers cites this paper.

Continuum limit of discretized matrix-valued Fourier multipliers Distances between operators acting on different Hilbert spaces

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-01T08:26:17.440720Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:26:17.440720Z digest=sha256:6cf32aa20b9ef9d38c900fd71e5120901cbd845626f239842637a24489d4f9ce