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Paper Citation Record · LEDGER

Distances between operators acting on different Hilbert spaces

As of 13 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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.893525Z digest=sha256:08d02781138b610dbd6848229a6924c3e76e92fe0fc1a8a38be8ab8564e026c0

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.898062Z digest=sha256:09eccd552148fc81a2bd6c1125f6f54e7b83f12f181683fff7667cb0482e38d2

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.901736Z digest=sha256:436e56666a6977387e7122e82646b82c765e33d48304dc556fe16d39c9506892

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.905216Z digest=sha256:ac0a9376c6585b6737bca8fc8024f22f8c3f03edd33d57fde2bc09ffefac129f

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.909121Z digest=sha256:7d933053f103c0064b600b84659402e69005a561dcae5985fc7774b3846969a1

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.912628Z digest=sha256:56258c5532cb756207501136853dc7bfb226238aada75d73b1434c186aaccc67

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.916471Z digest=sha256:bd88f65adabbee6143f2033202a27eafe10f34b142307e8d187bc5a9ecc90312

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.919709Z digest=sha256:df40911f79ac171d5c60407f2807545afef8050fe3b765be3dcf2ed0ada2c089

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.923113Z digest=sha256:39e097cdbe1f9a73b12ce9a72a3e93bf194c5fa2865375d414815e5d816aa7ce

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.926562Z digest=sha256:45299e85a1cae4a47e5402418f9d6cd34abe50dbfa6d8e576c694f93b95b91a8

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.929875Z digest=sha256:79ccf107c22752033809b7577e6c9bcd32e4ad49e3b6278bfd56511b51f52fb4

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.933267Z digest=sha256:ade7e4634ca4bbc760526af1d75c4964e66cfbc9665686ec1c22ec796b10b04c

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.938103Z digest=sha256:7594de6b67f43925764743c134ece938f3ac231290225aea13903acca44d2271

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.941343Z digest=sha256:72c06dc0a869871d67cdc21034e971f7a4a0437c45c33e216a788cfe264f44f4

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.944794Z digest=sha256:566b67aedda35e6eb64434df2e5d27cd798c4c7c6c2102db0d6615ea0a550379

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.948441Z digest=sha256:291864f45a2433cfcdbcab2e413ccf8e692b59c78e55f4284fd2f7ca092683a7

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.951717Z digest=sha256:bc580c84939e2288db836809abc86d5cfa140583d6eeb7859fa96ed8b349ee49

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.954368Z digest=sha256:07e7579f28b53792f297d6f7567efbc3d4519bbb03a3eaf9dad0b197f6e8e973

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.957097Z digest=sha256:374a9ebd70ce1f3c5c1b2f8f07f44785279cc17b85d16f1c5778afaef1115c2c

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.959753Z digest=sha256:b8099cdbd4dac4cbd9548aecde7277b5b7f33fe888248016eb75dc18b8fde7d4

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.962629Z digest=sha256:b556d6b05c0de43973477beec77ef4959b5ee28f2b58b287e6f107b561a76791

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.965462Z digest=sha256:444bb0a97452f55e58034f7b815ecf26d0bd0eec01354de322a3fc6d7b086e22

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.968413Z digest=sha256:29bd89bd28edb0cbf93e64b8e37e4c06ba9198c416d04010231a5c355eb002af

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.971124Z digest=sha256:1956227d954ab8598b3720fa887e5898f8f14e7f232ac1cb3b72d78d586d8651

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.973908Z digest=sha256:982b82fada6e20a8db01a6ed6f0e1794cf62d39eb45098b9be6c6d36d6fd92ee

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.977067Z digest=sha256:95a1e205e0e6430c62e6abd4878ddda7d8456159a7a7bb4cf3a96f1be57cc62e

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.980123Z digest=sha256:0ef5c9a90253f840fdd0c879182d329ccd86ff68868e57ccd54a9b02bd915c6e

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T13:36:51.983239Z digest=sha256:4820c7f5d33b6d43ed7dc734942ef51f7dec81036db11bf1ce74c30a99b4267b

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=sha256:9f06f6398bbbac5e9189efaa128912ec8632a8b5fde8998e99da612667b105e7