Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-11T02:38:59.313379Z
Paper Citation Record · LEDGER
Analytical Solution to the Kronig-Penney Model with Harmonic Oscillator Wells: Insights to Tight-Binding
As of 11 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2605.08032.
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 2026-08-11T06:34:44.6726+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
18 of 18 outbound references displayed
- verified exact4
- verified fuzzy6
- unresolved6
- parse uncertain0
- malformed identifier2
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 67186eb5-2ea6-4665-9f50-52522a55d537 · outbound
This paper cites Bloch, Zeitschrift f¨ ur Physik52, 555 (1929), ISSN 0044-3328.
Analytical Solution to the Kronig-Penney Model with Harmonic Oscillator Wells: Insights to Tight-Binding Bloch, Zeitschrift f¨ ur Physik52, 555 (1929), ISSN 0044-3328
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T11:59:44.140371Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c265be66-5cbe-489d-933f-5bb9584cdcfb · outbound
This paper cites Bloch, Proceedings of the Royal Soci- ety of London.
Analytical Solution to the Kronig-Penney Model with Harmonic Oscillator Wells: Insights to Tight-Binding Bloch, Proceedings of the Royal Soci- ety of London
Reference 2
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T02:40:53.452806Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4b34d416-aaa8-4ec6-8b36-e7ca8b3100fc · outbound
This paper cites Brillouin, Journal de Physique et le Radium1, 377 (1930), ISSN 0044-3328.
Analytical Solution to the Kronig-Penney Model with Harmonic Oscillator Wells: Insights to Tight-Binding Brillouin, Journal de Physique et le Radium1, 377 (1930), ISSN 0044-3328
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T11:59:44.135642Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f48a125b-72d1-45b3-ba78-0a7cf6129b33 · outbound
This paper cites an unresolved cited work.
Analytical Solution to the Kronig-Penney Model with Harmonic Oscillator Wells: Insights to Tight-Binding Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-05-14T11:59:44.137931Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 091834a9-235a-4a21-9dc9-64c7f115ccce · outbound
This paper cites Wigner and F.
Analytical Solution to the Kronig-Penney Model with Harmonic Oscillator Wells: Insights to Tight-Binding Wigner and F
Reference 5
- Resolution
- verified exact
- doi, observed 2026-05-11T02:40:53.437762Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b5d6c01c-de5f-4f76-877d-d341f4399194 · outbound
This paper cites Wigner and F.
Analytical Solution to the Kronig-Penney Model with Harmonic Oscillator Wells: Insights to Tight-Binding Wigner and F
Reference 6
- Resolution
- verified exact
- doi, observed 2026-05-11T02:40:53.433252Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation ed4012b8-131f-47d3-b016-68c4ffec30c6 · outbound
This paper cites an unresolved cited work.
Analytical Solution to the Kronig-Penney Model with Harmonic Oscillator Wells: Insights to Tight-Binding Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-05-14T11:59:44.130650Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3d66ad74-dd52-4349-8b08-b53dfbada7ea · outbound
This paper cites an unresolved cited work.
Analytical Solution to the Kronig-Penney Model with Harmonic Oscillator Wells: Insights to Tight-Binding Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-05-14T11:59:44.133088Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f16889ce-cf10-4620-98a9-51792a118822 · outbound
This paper cites an unresolved cited work.
Analytical Solution to the Kronig-Penney Model with Harmonic Oscillator Wells: Insights to Tight-Binding Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-05-14T11:59:44.126099Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7f3a0b48-d273-46f0-a66e-acad9dd0fe3d · outbound
This paper cites an unresolved cited work.
Analytical Solution to the Kronig-Penney Model with Harmonic Oscillator Wells: Insights to Tight-Binding Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-05-14T11:59:44.128375Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3fec7cae-bb8b-4c64-9b06-77b62ff410d8 · outbound
This paper cites Attractive Kronig-Penney Band Structures and Wave Functions.
Analytical Solution to the Kronig-Penney Model with Harmonic Oscillator Wells: Insights to Tight-Binding Attractive Kronig-Penney Band Structures and Wave Functions
Reference 11
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T03:10:53.258016Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2496232e-120a-4838-80fe-2aa2df064b93 · outbound
This paper cites an unresolved cited work.
Analytical Solution to the Kronig-Penney Model with Harmonic Oscillator Wells: Insights to Tight-Binding Unresolved cited work
Reference 12
- Resolution
- malformed identifier
- raw_fallback, observed 2026-05-14T11:59:44.110994Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1e5328c7-ec33-4a2e-8f0a-37ee74edf01b · outbound
This paper cites Marsiglio and R.
Analytical Solution to the Kronig-Penney Model with Harmonic Oscillator Wells: Insights to Tight-Binding Marsiglio and R
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T11:59:44.113007Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e4f10ba3-1131-49a5-9bfe-ac02184110a5 · outbound
This paper cites Forcade, D.
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T11:59:44.118895Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation cc844c18-f620-4c7a-b78a-f409a10a1a34 · outbound
This paper cites Abramowitz and I.
Analytical Solution to the Kronig-Penney Model with Harmonic Oscillator Wells: Insights to Tight-Binding Abramowitz and I
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T11:59:44.121254Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1a875bc9-1811-4461-8ec0-7632d7348223 · outbound
This paper cites an unresolved cited work.
Analytical Solution to the Kronig-Penney Model with Harmonic Oscillator Wells: Insights to Tight-Binding Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-05-14T11:59:44.108198Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 19b6516f-8070-487b-96b6-a895bd69c8da · outbound
This paper cites Ashcroft and N.
Analytical Solution to the Kronig-Penney Model with Harmonic Oscillator Wells: Insights to Tight-Binding Ashcroft and N
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T11:59:44.123721Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation bb1887fa-46ed-4d61-95ca-4523d77da32c · outbound
This paper cites Journal of Physics B: Atomic, Molecular and Optical Physics41(19), 195203 (2008) https://doi.org/10.1088/0953-4075/41/ 19/195203.
Analytical Solution to the Kronig-Penney Model with Harmonic Oscillator Wells: Insights to Tight-Binding Journal of Physics B: Atomic, Molecular and Optical Physics41(19), 195203 (2008) https://doi.org/10.1088/0953-4075/41/ 19/195203
Reference 18
- Resolution
- malformed identifier
- doi_truncated, observed 2026-05-11T02:40:53.457392Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Pith citing papers
No inbound Pith citation observations are available.