Pith. sign in

Paper Citation Record · LEDGER

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

As of 22 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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:58:09.237323Z digest=sha256:03e31650910670b298ce647edc11832c2c34def50cdd2fc3afab7c263b6965dc

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:58:09.241621Z digest=sha256:fbf177505d5faac8207b0b70a2f178c87ed64abd13aced5ffb071a465eced497

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:58:09.245543Z digest=sha256:95368907623fbab6c18ded64dff8437ef39d3467083d3111ac6189b176c8b76e

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:58:09.248902Z digest=sha256:ce503519646a9da43510cf1fbb9da7d53e3b49053ce2a0d73aaab0dc5642378d

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:58:09.252596Z digest=sha256:6a724132d24510596b062df4f0e78e0e7891716b8613a5d1106c6515a089720f

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:58:09.256066Z digest=sha256:66f5826003825e9a6801cb93037d1a813f510d1dc72aaf356bf18046a64c133b

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:58:09.263642Z digest=sha256:8c77b43c7078d89534a1a605998d0ceeff6fbe02bcf4f3ad09720c452403d5fd

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:58:09.267012Z digest=sha256:34a0a562a06f268dc56cb6a2f21cc04cb508d254a96840549097db3f800e2a0a

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:58:09.270473Z digest=sha256:cbc55d5f1ffd149aaf47118c4bd154462d6a3655b4047ea7f1c44bec6b6063a6

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:58:09.273521Z digest=sha256:d746670283d48dc81aab7f2c6b9daae881b8db008a43a52225cd5390e8636db7

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:58:09.276900Z digest=sha256:5168422f43ab1243600531a60b3485cb71f8af796652546b90f0eb38a530a1d0

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:58:09.280146Z digest=sha256:686ecff2ceff9343c8df6a98537c6975a1b0f8ce6baacf63424c15bae5feda00

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:58:09.283338Z digest=sha256:bb12ab4729909daae10711b8d5e5ac6846cdb2aa7ecf2983567b41f4236eb7fb

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:58:09.286481Z digest=sha256:c1769cbd5517245676881ce247152d05d780af122603dd5783dd954441db05d0

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:58:09.289651Z digest=sha256:b51712409d5070d2a850a9b9981850a3154dabbf427452c61f8066e5d9ea2e42

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:58:09.296348Z digest=sha256:d60e2131e90964ceac760970ad332de92de9f5cd3734097872cafd146384af37

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:58:09.299806Z digest=sha256:589c762624a77857b2d06b8f707a2642e868466217092ee1c9e54750f5a3d830

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:58:09.303044Z digest=sha256:cd6e6e678bf31ac4dfc9154e957d058d6855592aef89c02df4e16518bfd41a19

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:58:09.309956Z digest=sha256:15ec7677daca474191737be9790801e235e40fb8d6ddb878cb772c7b029ae7d2

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:58:09.313061Z digest=sha256:31eaba6742c9bf820ebc13d15011c871eadac2863895404c07d302f5dce29497

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:58:09.316303Z digest=sha256:be7bf97e26c3ccd60b49174fe66c77660196453ad3eb2a4fca11c63a478f781e

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:58:09.319639Z digest=sha256:d87aef8d237c19a94a5b86ab892134212082b3476579bbc464f4872ae795da9a

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:58:09.322653Z digest=sha256:b55a85029feca76d57854ceb26ac41211d95a6650269915c287dc9a60edf7da4

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:58:09.325951Z digest=sha256:ceff90a8b0f789e5c698a86241af56702146ac3ba90907c3e3da12942d9c2922

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:58:09.329211Z digest=sha256:299b9e735d97ed307ec4e062d4ecdc416450288e32d5752e97adc3b2e87e3f79

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:58:09.332655Z digest=sha256:fdad946824b3d5851f271b8ca162753606b675caab7da86b3c5de317a4079e9a

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:58:09.335763Z digest=sha256:a0a07579301326a7a2c3249271da56893fb174c0d0fb2aa39e6ddb12e8a993b5

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:58:09.338757Z digest=sha256:5cd4a61c4b6c024b80d5331a8ade3b8608bad1f717d41632147a4fe0ed1a40d3

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-18T22:02:46.639602Z digest=sha256:21f8f57fa218fee9dba896cd261bf4b3949556ed92649acc8f8f002cf9de9ebf

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