Pith. sign in

Paper Citation Record · LEDGER

The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain

As of 18 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 2 inbound Pith citation observations for arXiv:2505.03690.

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

pith.paper-citation-record.v1
2505.03690 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:58:09.338757Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T13:53:45.334124Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-18T22:02:52.485658Z

Reference resolution

31 of 31 outbound references displayed

  • verified exact0
  • verified fuzzy13
  • unresolved18
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 174b0ad9-a1d5-4bc3-8863-1a8a1b0b61e4 · outbound

This paper cites Attar, The ground state energy of the two dimensional Ginzburg-Landa u functional with variable magnetic field , Ann.

The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain Attar, The ground state energy of the two dimensional Ginzburg-Landa u functional with variable magnetic field , Ann

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:58:09.665708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T23:58:09.237323Z digest=sha256:3a9f2972f91ff86e2541e5b61ae4d6567b2c91a1da992e76ffc2054842daf328

Observation 8b56f0a7-42f0-4a2a-ad31-2cde28838f08 · outbound

This paper cites Bauman, D.

The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain Bauman, D

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:58:09.656786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T23:58:09.241621Z digest=sha256:d49609cf49f907262911607579e9e029a860d80202dab1659e8edb6d2d7b6cee

Observation 1d4cb670-5e4f-411e-a7e0-c876c2bad8de · outbound

This paper cites an unresolved cited work.

The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:58:09.646383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T23:58:09.245543Z digest=sha256:1bd3b540d66c77aea5f7a48f6741e5f17105db5cd4f6b6ba01eaf1775af42e70

Observation 5566ad3f-a9e6-4fa4-9852-c1eb47cee311 · outbound

This paper cites Bonnaillie-No¨ el and S.

The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain Bonnaillie-No¨ el and S

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:58:09.636490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T23:58:09.248902Z digest=sha256:d19c1f739444a7943b98c11cc3db097f4836ede76f1a60a012ab32b7d6bbe83d

Observation 57eace07-2237-4341-b1eb-72707ff84e6b · outbound

This paper cites Bonnaillie-No¨ el and N.

The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain Bonnaillie-No¨ el and N

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:58:09.626180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T23:58:09.252596Z digest=sha256:0fcd6ff4ee594f62a4709b055e33f236fa79ddb279f03dc58f63494412075600

Observation 0b28d353-8a3e-471b-b692-c91a232b51ea · outbound

This paper cites Henri Poincar´ e 7 (2006), no.

The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain Henri Poincar´ e 7 (2006), no

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:58:09.616180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T23:58:09.256066Z digest=sha256:c008c5cbc3b5f5155e9275046bf1b206cedb63424ceeed0e85696f589f935148

Observation e49ef892-bc7b-49ce-9860-0f2f5c704721 · outbound

This paper cites A note on the magnetic Steklov operator on functions.

The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain A note on the magnetic Steklov operator on functions

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-15T23:58:09.259820Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T23:58:09.259820Z digest=sha256:c4bcdf3ca8605f1172b589846c42ca938beee7b9b31cfec99d59e3c300d9660e

Observation dffdb0db-ef12-4413-abb9-e27c177397e9 · outbound

This paper cites an unresolved cited work.

The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:58:09.605777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T23:58:09.263642Z digest=sha256:e9685e62d3c2ea82b2bfa5a05e3f4626b8270eafc4a5ac7a4821e03db94a08b0

Observation 23b3bedb-13e4-450a-9035-f852e751c953 · outbound

This paper cites an unresolved cited work.

The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:58:09.596127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T23:58:09.267012Z digest=sha256:21ff1a2a559f3f78955af974c15d122cab9e870cb11b76d59bcc90fba057d7a8

Observation 4152e1db-fae2-4161-9e0c-c18625943434 · outbound

This paper cites Felmer, and Peter Sternber g, Boundary concentration for eigen- value problems related to the onset of superconductivity , Comm.

The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain Felmer, and Peter Sternber g, Boundary concentration for eigen- value problems related to the onset of superconductivity , Comm

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:58:09.586935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T23:58:09.270473Z digest=sha256:9bd704fa9534257a3b1da5c89a8262db6d1a3d9679e729d02462092a790a5832

Observation 16e9353b-810f-4444-8142-7ad20f0a299e · outbound

This paper cites an unresolved cited work.

The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:58:09.577843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T23:58:09.273521Z digest=sha256:db68e5f2b3a375515acc6a232b7bb1e1725a1f6f259a5c53415d648a8b18ab34

Observation 6e26a9f5-ac8d-4669-8203-06ec880f37df · outbound

This paper cites Fefferman, The uncertainty principle , Bull.

The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain Fefferman, The uncertainty principle , Bull

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:58:09.567594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T23:58:09.276900Z digest=sha256:1126c806923d72e87862504458865a06f84dc2fab13ac63c80f8f74774fb9fc2

Observation 192f89ee-c0cf-48fc-a6c9-a0b173bcd739 · outbound

This paper cites an unresolved cited work.

The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:58:09.558301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T23:58:09.280146Z digest=sha256:ede629ddecf453b6224e01056c33aaed43387495a778b22dff1b31b252da0543

Observation 63030dad-4be6-4864-8377-8aa2be061645 · outbound

This paper cites 77, Birkh¨ auser Boston, Inc., Boston, MA, 2010.

The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain 77, Birkh¨ auser Boston, Inc., Boston, MA, 2010

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:58:09.548243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T23:58:09.283338Z digest=sha256:e620e404082893f999a00d77b33c304f30173264c0299fa34d5d8bc8560ba934

Observation 4cb4b803-8812-424c-9610-f687dd0cbac1 · outbound

This paper cites Congr., vol.

The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain Congr., vol

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:58:09.537870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T23:58:09.286481Z digest=sha256:654a67ec5b1a19bd6c73ba312418b3be21ab31729fe9227a46809014aa06f133

Observation 9179ff6b-e034-4dcc-a55d-b5a262b7b87b · outbound

This paper cites an unresolved cited work.

The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:58:09.528366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T23:58:09.289651Z digest=sha256:d0641a90e6e05209252a56efefcf9afa1807255d682f78c1dfe1d8a7bfa52e45

Observation c6962f07-21c5-496f-8ff5-6f184ece1919 · outbound

This paper cites Asymptotics for the magnetic Dirichlet-to-Neumann eigenvalues in general domains.

The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain Asymptotics for the magnetic Dirichlet-to-Neumann eigenvalues in general domains

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-15T23:58:09.292779Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T23:58:09.292779Z digest=sha256:b87420b236f925653c05dde2337b6c4afafbb5bc7c0d1e513a39f2879f2c0da1

Observation 22365e6f-59d0-4abb-847e-21454d71fc1d · outbound

This paper cites an unresolved cited work.

The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:58:09.518078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T23:58:09.296348Z digest=sha256:164525ce4af7d139e76beb322e01cfe5890c754cd4bac7d0b1a418a7da225156

Observation ce64219b-3970-4a62-b081-2a30bbd67604 · outbound

This paper cites an unresolved cited work.

The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:58:09.508331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T23:58:09.299806Z digest=sha256:4d834b432eee4fc400468a853003641154303871a08910fe9b70d87ea12f6bce

Observation 1bb98ab1-8f77-4a15-9d05-58d12bc34e96 · outbound

This paper cites an unresolved cited work.

The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:58:09.498111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T23:58:09.303044Z digest=sha256:1bdb88dbe8a7e884f2e8fe66eb3a5c1bfcdc019e9cc3d0c3f6d55b1659b60712

Observation cee7f85d-65bb-4d6a-b7ef-0db6dfa09ada · outbound

This paper cites On the magnetic Dirichlet to Neumann operator on the disk -- strong diamagnetism and strong magnetic field limit--.

The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain On the magnetic Dirichlet to Neumann operator on the disk -- strong diamagnetism and strong magnetic field limit--

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-15T23:58:09.306455Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T23:58:09.306455Z digest=sha256:9c3db2434ac0693b636c977de8f75e9564b7bf87520ee1bed3818565cb835e4c

Observation 0d7306e4-0d00-4063-a035-3dfc00a1ed1f · outbound

This paper cites an unresolved cited work.

The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:58:09.487447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T23:58:09.309956Z digest=sha256:48ffa0b099445413e264183586458658aa18ba4b4f7b695fabfa426262b3b070

Observation 86aef286-7b55-4cb9-930e-76f6bd252976 · outbound

This paper cites an unresolved cited work.

The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:58:09.477212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T23:58:09.313061Z digest=sha256:132e4c233b1bdc201a8528458e65c9cc78d59a9606285b74d26c8bef955930c5

Observation 3f0a4b72-ab74-4616-91da-3a0b205b06d0 · outbound

This paper cites Henri Poincar´ e19 (2018), no.

The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain Henri Poincar´ e19 (2018), no

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:58:09.467451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T23:58:09.316303Z digest=sha256:95e586ac69f806133b570de0a25bd5973515d8667e34278de242a1d4abe39657

Observation a5538676-b690-4ee3-a578-a8863990e2d4 · outbound

This paper cites an unresolved cited work.

The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:58:09.457366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T23:58:09.319639Z digest=sha256:746b045d6095f7a660fefc02eb3191b80e481a81b96541c16c3b8c673bff6934

Observation 15761e63-7a36-4865-875a-1e6904486726 · outbound

This paper cites an unresolved cited work.

The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:58:09.446464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T23:58:09.322653Z digest=sha256:58cc5d7216e9027942cf1cba0a3bfa07125cfbbd4fdaa18592f073162f188c21

Observation 898df9dc-c0bd-49b8-bfe0-01d2b79017ef · outbound

This paper cites Henri Poincar´ e10 (2009), no.

The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain Henri Poincar´ e10 (2009), no

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:58:09.436488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T23:58:09.325951Z digest=sha256:7d18c09af66410abaf35bd0d5cb1db0842d0db3d49bfe8961d6a4adc9cc29c84

Observation 2ef709c1-7c94-4775-80a7-733987976fcb · outbound

This paper cites 27, European Mathematical Society (EMS), Z¨ urich, 201 7.

The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain 27, European Mathematical Society (EMS), Z¨ urich, 201 7

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:58:09.426612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T23:58:09.329211Z digest=sha256:b06ac79bf5d6b559cec47a29115265f7ffd60be48bcac7192bf07646ba49e047

Observation 8cf9409d-827b-4ee6-a042-dc97c650e84d · outbound

This paper cites c, Geometry and spectrum in 2D magnetic wells , Ann.

The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain c, Geometry and spectrum in 2D magnetic wells , Ann

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:58:09.416209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T23:58:09.332655Z digest=sha256:c615a3d9609727ad8404c0c63682fc017b3da4f97a240ace143bc00345158c03

Observation 84637681-feab-4391-a06e-9424144163e2 · outbound

This paper cites an unresolved cited work.

The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:58:09.404677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T23:58:09.335763Z digest=sha256:f0f70da323734f72c79ba63e89110a0b9dd316e44a1c469ffe26668e99408e7f

Observation b9aea618-8270-4b2d-9703-743d4b5506b0 · outbound

This paper cites an unresolved cited work.

The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:58:09.394771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T23:58:09.338757Z digest=sha256:6d1248f406394d4450614a1052babd0b3486665ed8a248f065fca5315e0085b2

Pith citing papers

Observation f49b6c2c-1165-46e4-b988-d337ebcb4146 · inbound

Flux effects on Magnetic Laplace and Steklov eigenvalues in the exterior of a disk cites this paper.

Flux effects on Magnetic Laplace and Steklov eigenvalues in the exterior of a disk The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-05-18T22:02:52.489047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-18T22:02:46.639602Z digest=sha256:8b79b5da9e166c324b3d3907caa0b3459f1a68548e8eabb8dcb948b04ac8e816

Observation 7ba6c2ba-47c0-4dc4-87fb-e2c189dfc0a9 · inbound

Boundary Value Problems for the Magnetic Laplacian in Semiclassical Analysis cites this paper.

Boundary Value Problems for the Magnetic Laplacian in Semiclassical Analysis The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-05T13:53:45.334124Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T13:53:45.334124Z digest=sha256:4874bd1fbd810ff7b4ec4848906efd2aa334ff1daae7cacff06aa4e4779aecc9