Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T10:25:00.308435Z
Paper Citation Record · LEDGER
On the Excess Charge Problem of Atoms
As of 22 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2504.18487.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
30 of 30 outbound references displayed
- verified exact0
- verified fuzzy20
- unresolved10
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 06f7cc5c-f08e-43e3-8489-9635250969a1 · outbound
This paper cites Spherical harmonics and approximations on the unit sphere: an introduction , volume 2044 of Lecture Notes in Mathematics.
On the Excess Charge Problem of Atoms Spherical harmonics and approximations on the unit sphere: an introduction , volume 2044 of Lecture Notes in Mathematics
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:25:00.701672Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 09ebf8f6-cea4-47c4-9518-f7f7b317e346 · outbound
This paper cites Absence of positive eigenvalues of magnetic S chr\" o dinger operators.
On the Excess Charge Problem of Atoms Absence of positive eigenvalues of magnetic S chr\" o dinger operators
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:25:00.691307Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 8c0c9349-2dba-4023-90fa-549e2620fd17 · outbound
This paper cites an unresolved cited work.
On the Excess Charge Problem of Atoms Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T10:25:00.680922Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 528564f8-22a6-439b-b6d6-fbb53d0a64aa · outbound
This paper cites On T homas- F ermi-von W eizsacker and H artree energies as functions of the degree of ionisation.
On the Excess Charge Problem of Atoms On T homas- F ermi-von W eizsacker and H artree energies as functions of the degree of ionisation
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:25:00.670057Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 7144b137-ef74-45cc-810a-85b345c55476 · outbound
This paper cites an unresolved cited work.
On the Excess Charge Problem of Atoms Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T10:25:00.658482Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 5e53970d-d38b-4142-b041-143310a7f5f0 · outbound
This paper cites an unresolved cited work.
On the Excess Charge Problem of Atoms Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T10:25:00.646371Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e4195a42-3c0f-4c0e-868f-38e0f1bc94f1 · outbound
This paper cites Positivity of |p|^a|q|^b+|q|^b|p|^a.
On the Excess Charge Problem of Atoms Positivity of |p|^a|q|^b+|q|^b|p|^a
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:25:00.634109Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 64987f62-302a-438d-a212-9915bd64821d · outbound
This paper cites Ekholm and R.
On the Excess Charge Problem of Atoms Ekholm and R
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:25:00.622091Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 6a872104-1e7c-4fba-9577-6204f297cb88 · outbound
This paper cites Partial differential equations , volume 19.
On the Excess Charge Problem of Atoms Partial differential equations , volume 19
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:25:00.610842Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 1641957a-d379-489d-af2a-60a1e22488f4 · outbound
This paper cites Analysis.
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:25:00.599629Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 04f4cdc1-f041-4c11-8ca2-b1a6a59dc21c · outbound
This paper cites Frank, Phan Th\`anh Nam, and Hanne Van Den Bosch.
On the Excess Charge Problem of Atoms Frank, Phan Th\`anh Nam, and Hanne Van Den Bosch
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:25:00.586085Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 6134b164-e136-4a21-80b2-b355a5e17667 · outbound
This paper cites Fefferman and Luis A.
On the Excess Charge Problem of Atoms Fefferman and Luis A
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:25:00.572913Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 748410e1-3b62-4f25-bc37-79b3e7c49076 · outbound
This paper cites an unresolved cited work.
On the Excess Charge Problem of Atoms Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T10:25:00.561742Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c82e23c7-fb3c-415a-86fb-d5d7e3da2e16 · outbound
This paper cites On the spectra of S chr\"odinger multiparticle H amiltonians.
On the Excess Charge Problem of Atoms On the spectra of S chr\"odinger multiparticle H amiltonians
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:25:00.549914Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 51eff16c-bc30-467e-a4ac-8b4f687d26d4 · outbound
This paper cites an unresolved cited work.
On the Excess Charge Problem of Atoms Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T10:25:00.537264Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 8b73e58f-e152-478e-adc0-98d4f620c1d6 · outbound
This paper cites an unresolved cited work.
On the Excess Charge Problem of Atoms Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T10:25:00.523853Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 1a4718e1-b0da-41f1-a1c7-22842adc0870 · outbound
This paper cites Lieb and Robert Seiringer.
On the Excess Charge Problem of Atoms Lieb and Robert Seiringer
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:25:00.510133Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 675e0761-4aa1-4e26-810f-88843678839b · outbound
This paper cites Lieb, Israel M.
On the Excess Charge Problem of Atoms Lieb, Israel M
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:25:00.497115Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation da8f4e76-b675-4986-a144-c1c4c435b0db · outbound
This paper cites New bounds on the maximum ionization of atoms.
On the Excess Charge Problem of Atoms New bounds on the maximum ionization of atoms
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:25:00.484153Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 681de9a8-9d23-4377-98c7-2f3c1a753a69 · outbound
This paper cites The ionization problem in quantum mechanics.
On the Excess Charge Problem of Atoms The ionization problem in quantum mechanics
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:25:00.470100Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 99cc5df0-0715-4cce-be09-4758bacadf9b · outbound
This paper cites Absence of discrete spectrum in highly negative ions.
On the Excess Charge Problem of Atoms Absence of discrete spectrum in highly negative ions
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:25:00.457769Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 5bec2174-f1fc-4197-86c4-dc7d23d61374 · outbound
This paper cites an unresolved cited work.
On the Excess Charge Problem of Atoms Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T10:25:00.445773Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f114e72c-2d23-465b-9977-34e95081740b · outbound
This paper cites Fifteen problems in mathematical physics.
On the Excess Charge Problem of Atoms Fifteen problems in mathematical physics
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:25:00.434056Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 15b176d9-96c3-4562-9d82-a4196f4f6b23 · outbound
This paper cites Schr\"odinger operators in the twenty-first century.
On the Excess Charge Problem of Atoms Schr\"odinger operators in the twenty-first century
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:25:00.421896Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 91794293-79fe-4f28-a3a1-2fef60b3ca8c · outbound
This paper cites Asymptotics for bosonic atoms.
On the Excess Charge Problem of Atoms Asymptotics for bosonic atoms
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:25:00.407688Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation df36df97-cfac-409d-9f8a-bed63a8552e4 · outbound
This paper cites an unresolved cited work.
On the Excess Charge Problem of Atoms Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T10:25:00.393831Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e46d3d0b-d55e-4c4a-9b8c-8dbcbdf58370 · outbound
This paper cites Theory of finite systems of particles.
On the Excess Charge Problem of Atoms Theory of finite systems of particles
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:25:00.381066Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation d86c9354-cc0d-4043-852a-a0a3a9676540 · outbound
This paper cites an unresolved cited work.
On the Excess Charge Problem of Atoms Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T10:25:00.368801Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 84c6a07b-f045-4f84-9550-bed25b923c1c · outbound
This paper cites The virial theorem and its application to the spectral theory of S chr\" o dinger operators.
On the Excess Charge Problem of Atoms The virial theorem and its application to the spectral theory of S chr\" o dinger operators
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:25:00.357082Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ca582387-d0ee-40af-a3c8-da8a141fcaa0 · outbound
This paper cites an unresolved cited work.
On the Excess Charge Problem of Atoms Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T10:25:00.342764Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Pith citing papers
No inbound Pith citation observations are available.