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Paper Citation Record · LEDGER

Correctness of the definition of the Laplace operator with delta-like potentials

As of 16 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:1908.10277.

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

pith.paper-citation-record.v1
1908.10277 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:15:29.844180Z

measured 23 of 23 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

23 of 23 outbound references displayed

  • verified exact1
  • verified fuzzy5
  • unresolved17
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ad53ac2c-0e60-44a5-88d2-ec1c53604e4e · outbound

This paper cites Albeverio, F.

Correctness of the definition of the Laplace operator with delta-like potentials Albeverio, F

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:15:30.198528Z

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=2026-08-14T11:15:29.739585Z digest=sha256:163cc52debe98cfa0bce270680a4333fbef70af280f8660e34a99eb7d8920f65

Observation ea99c9de-a568-4d49-8baa-05bc39a6e11e · outbound

This paper cites Albeverio, P.

Correctness of the definition of the Laplace operator with delta-like potentials Albeverio, P

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:15:30.185884Z

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=2026-08-14T11:15:29.745574Z digest=sha256:046aca21ac467cfa5c808647703073d95c323402e2fb5f2164215c9c94bc1f46

Observation 6b201cbc-2ca2-48ce-a50a-3b56e00cb93f · outbound

This paper cites an unresolved cited work.

Correctness of the definition of the Laplace operator with delta-like potentials Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:15:30.172986Z

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=2026-08-14T11:15:29.750153Z digest=sha256:231176c238d8f6580579dabeafd35701781045748067716e6a97578e3e10f1ab

Observation a6638330-ccaa-4f10-b615-99b28cdd254b · outbound

This paper cites Blanchard, R.

Correctness of the definition of the Laplace operator with delta-like potentials Blanchard, R

Reference 4

Resolution
verified exact
doi, observed 2026-08-14T11:15:29.881288Z

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=2026-08-14T11:15:29.754926Z digest=sha256:049fc2cf04d86bbc2610b054f2e8e65708bbaf2d8aa8dfacec9eb773b27900c3

Observation 26c1977a-7f6b-4aa2-b2fc-5332edde2dd2 · outbound

This paper cites an unresolved cited work.

Correctness of the definition of the Laplace operator with delta-like potentials Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:15:30.160305Z

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=2026-08-14T11:15:29.759831Z digest=sha256:577fce41e7aec9a9d1e22d2944e41dbb095b224304c7c75d0287442ba392e745

Observation 24c38ddb-e113-48ec-b1ac-318b989e5140 · outbound

This paper cites an unresolved cited work.

Correctness of the definition of the Laplace operator with delta-like potentials Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:15:30.140040Z

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=2026-08-14T11:15:29.764891Z digest=sha256:276e42ec06fbf1518878cc2ccc846e7c6d90a2aef89a9c59a5eab5a3842263a2

Observation 7a7bd23b-b086-4e58-bd2f-92fbd9a1a446 · outbound

This paper cites an unresolved cited work.

Correctness of the definition of the Laplace operator with delta-like potentials Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:15:30.124614Z

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=2026-08-14T11:15:29.769166Z digest=sha256:6fcb73f32def40104e2e65c645ac0a53de24a1f009f7d2f06826e2d927ef2275

Observation ab3062a1-0e1c-41e0-959a-f34bf3b5bc1f · outbound

This paper cites an unresolved cited work.

Correctness of the definition of the Laplace operator with delta-like potentials Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:15:30.110874Z

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=2026-08-14T11:15:29.773952Z digest=sha256:0a32f3f0e4de4b6c516d661b5669aeef6278cde84d17aa5b5f3bf8f43ecd34c7

Observation b64eaaa1-c902-4d4c-93fe-b836522773f8 · outbound

This paper cites an unresolved cited work.

Correctness of the definition of the Laplace operator with delta-like potentials Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:15:30.097496Z

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=2026-08-14T11:15:29.779497Z digest=sha256:4b5bf0b831e28f17378a4c476adb2721098b6f844f87cd7b5d8d1e34b8acfc5e

Observation d0e55f85-c486-4518-957d-e47801aa5c4e · outbound

This paper cites Gilbert, V.A.

Correctness of the definition of the Laplace operator with delta-like potentials Gilbert, V.A

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:15:30.082351Z

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=2026-08-14T11:15:29.784962Z digest=sha256:456593512f33fe6fd56fb9a7944e0234e8121b2908882769ec5c78cd3a3f797e

Observation b70d009e-7739-482e-a126-48f464acaf01 · outbound

This paper cites an unresolved cited work.

Correctness of the definition of the Laplace operator with delta-like potentials Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:15:30.069228Z

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=2026-08-14T11:15:29.790454Z digest=sha256:3cfada538e28a89cd7b411eef2bdd2db3ffd2a16025c041d1c1c866c9a20c845

Observation c22dee90-26db-4118-992a-227451b294af · outbound

This paper cites Gohberg and M.G.

Correctness of the definition of the Laplace operator with delta-like potentials Gohberg and M.G

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:15:30.055811Z

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=2026-08-14T11:15:29.795732Z digest=sha256:561fdd90bc67abd2fb4740208f7020af361fa9c0527fad6f53ff39b3877ec72b

Observation 844ca8e7-27d7-4ad6-ad82-495fedd6ad3a · outbound

This paper cites an unresolved cited work.

Correctness of the definition of the Laplace operator with delta-like potentials Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:15:30.042693Z

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=2026-08-14T11:15:29.800108Z digest=sha256:ed58d116dcba76180a78c5c5f65d83325d1e19aa89eabba0033604c31eb0de34

Observation 5f830d18-c3b7-4c39-b618-8deaad1f8369 · outbound

This paper cites an unresolved cited work.

Correctness of the definition of the Laplace operator with delta-like potentials Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:15:30.027788Z

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=2026-08-14T11:15:29.804424Z digest=sha256:b4d518b9239bc7f0e7c771f2efc17d0b81ebdb079db8fbcd0edc7bc87d34d418

Observation 72c5f3b3-52c7-40bf-ac3a-8c4adbeb65e3 · outbound

This paper cites an unresolved cited work.

Correctness of the definition of the Laplace operator with delta-like potentials Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:15:30.011932Z

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=2026-08-14T11:15:29.808528Z digest=sha256:8d21a39c23a0ab55111887b912f139a8836e9ccd4dbb45df47a38e01b521f842

Observation 6247e85f-a678-4d26-9a4a-85ef2741592c · outbound

This paper cites an unresolved cited work.

Correctness of the definition of the Laplace operator with delta-like potentials Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:15:29.996404Z

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=2026-08-14T11:15:29.812383Z digest=sha256:b8703867235ef78407412207c2041767e3e93962e7a6ac47c783350418b62e9b

Observation 3b23a86e-8d86-4c90-9179-63c521529b58 · outbound

This paper cites an unresolved cited work.

Correctness of the definition of the Laplace operator with delta-like potentials Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:15:29.979717Z

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=2026-08-14T11:15:29.816053Z digest=sha256:07df6e49d84618f798b1d88780618e662b6b753519e7b7e6474fe4368b4b34b0

Observation f195de0c-6696-4568-a96d-776548bfd566 · outbound

This paper cites Kurasov, Triplet extensions I: semibounded operators in the scale of Hilbert spaces , J.

Correctness of the definition of the Laplace operator with delta-like potentials Kurasov, Triplet extensions I: semibounded operators in the scale of Hilbert spaces , J

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:15:29.966139Z

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=2026-08-14T11:15:29.819970Z digest=sha256:7e2bad2ff4f5640824519376c1d33d620063c51186bec520e76d60f01a288529

Observation 7c79805c-f2b8-4af9-8119-f258c90f473e · outbound

This paper cites an unresolved cited work.

Correctness of the definition of the Laplace operator with delta-like potentials Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:15:29.951968Z

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=2026-08-14T11:15:29.824097Z digest=sha256:adf144fd97ce7fcf304ba5f983ec6d031e665467ead38058a809b6c74543f124

Observation b941690a-c8df-43fd-bcfc-d37df06dfdc3 · outbound

This paper cites an unresolved cited work.

Correctness of the definition of the Laplace operator with delta-like potentials Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:15:29.939069Z

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=2026-08-14T11:15:29.828549Z digest=sha256:206299f0530731a76d167ee8f23cb3a6a58f1f79daf4955559da3799607a49cb

Observation b6f1566b-de54-4438-957a-98d56c255226 · outbound

This paper cites an unresolved cited work.

Correctness of the definition of the Laplace operator with delta-like potentials Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:15:29.925886Z

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=2026-08-14T11:15:29.832816Z digest=sha256:504059a685dac8587d85120c4048b978c2981068d63bf796df8400cb200fdeb1

Observation 986821ba-ecf6-4de7-989c-4ba9f5002dc2 · outbound

This paper cites an unresolved cited work.

Correctness of the definition of the Laplace operator with delta-like potentials Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:15:29.910805Z

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=2026-08-14T11:15:29.839725Z digest=sha256:00ccf64b2a8770f117b567d3176250d4077180c5439cdfca9b1e6b590d15b49e

Observation c7871704-2aa6-4a44-99a4-9fc2642dac24 · outbound

This paper cites an unresolved cited work.

Correctness of the definition of the Laplace operator with delta-like potentials Unresolved cited work

Reference 1981

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:15:29.896080Z

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=2026-08-14T11:15:29.844180Z digest=sha256:536556156b8d27bb11c8961c6bba54c015eb010ab9a2225cf73f75bb50252032

Pith citing papers

No inbound Pith citation observations are available.