Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T22:39:23.419878Z
Paper Citation Record · LEDGER
Signs of high order derivatives for the theta and Epstein zeta functions and application
As of 14 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2501.01265.
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 2026-08-14T06:32:32.682623+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 exact3
- verified fuzzy21
- unresolved6
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation fce34592-439e-4b3a-b0b9-f2436419ce13 · outbound
This paper cites an unresolved cited work.
Signs of high order derivatives for the theta and Epstein zeta functions and application Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:39:23.848899Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c8532790-0a1f-4648-935a-307ba72e0d40 · outbound
This paper cites B´ etermin and P.
Signs of high order derivatives for the theta and Epstein zeta functions and application B´ etermin and P
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:23.837131Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation cde37030-233e-444e-8d38-e008ae8e188e · outbound
This paper cites B´ etermin, Two-dimensional theta functions and crystallization among Bravais lattices, SIAM J.
Signs of high order derivatives for the theta and Epstein zeta functions and application B´ etermin, Two-dimensional theta functions and crystallization among Bravais lattices, SIAM J
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:23.825466Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b2c63174-67b5-4604-a2f3-3dd2dc18826a · outbound
This paper cites B´ etermin, Local variational study of 2d lattice ener gies and application to Lennard-Jones type interactions, Nonlinearity, 31(9) (2018), 3973-4005.
Signs of high order derivatives for the theta and Epstein zeta functions and application B´ etermin, Local variational study of 2d lattice ener gies and application to Lennard-Jones type interactions, Nonlinearity, 31(9) (2018), 3973-4005
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:23.813784Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 7413ebcc-a270-4ce7-95e7-f1788243586a · outbound
This paper cites B´ etermin, Minimizing lattice structures for Morse p otential energy in two and three dimensions, J.
Signs of high order derivatives for the theta and Epstein zeta functions and application B´ etermin, Minimizing lattice structures for Morse p otential energy in two and three dimensions, J
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:23.801482Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c3988dfd-dfcf-4915-9c92-3603d1e38170 · outbound
This paper cites B´ etermin and M.
Signs of high order derivatives for the theta and Epstein zeta functions and application B´ etermin and M
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:23.791110Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 958c9473-688a-454d-b278-ed8ca7ff664c · outbound
This paper cites B´ etermin, M.
Signs of high order derivatives for the theta and Epstein zeta functions and application B´ etermin, M
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:23.780033Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 157ad9b7-7491-40ec-a09e-8b257715f6b1 · outbound
This paper cites B´ etermin and M.
Signs of high order derivatives for the theta and Epstein zeta functions and application B´ etermin and M
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:23.768571Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4430f733-d159-4af4-a430-82303262daf3 · outbound
This paper cites B´ etermin, On energy ground states among crystal latt ice structures with prescribed bonds, J.
Signs of high order derivatives for the theta and Epstein zeta functions and application B´ etermin, On energy ground states among crystal latt ice structures with prescribed bonds, J
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:23.758863Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 01161f40-f0ca-47bb-b29f-e66b4401090f · outbound
This paper cites B´ etermin, Effect of periodic arrays of defects on lat tice energy minimizers.
Signs of high order derivatives for the theta and Epstein zeta functions and application B´ etermin, Effect of periodic arrays of defects on lat tice energy minimizers
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:23.746345Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 678d644b-d14b-4043-aae9-3ef1b9fbd3cc · outbound
This paper cites B´ etermin, L.
Signs of high order derivatives for the theta and Epstein zeta functions and application B´ etermin, L
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:23.734703Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 95f5f91f-e4eb-40d4-876a-dd7811b2d47e · outbound
This paper cites B´ etermin, M.
Signs of high order derivatives for the theta and Epstein zeta functions and application B´ etermin, M
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:23.722902Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 3d0b79ea-e43f-43a7-bc9a-89a7c27dd1a3 · outbound
This paper cites Blanc and M.
Signs of high order derivatives for the theta and Epstein zeta functions and application Blanc and M
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:23.706544Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4e400ddf-bccf-46db-b5ff-0cdaf3d2f650 · outbound
This paper cites an unresolved cited work.
Signs of high order derivatives for the theta and Epstein zeta functions and application Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:39:23.690690Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 26152c1a-ddc4-4f20-b8aa-c1af9c4827e5 · outbound
This paper cites an unresolved cited work.
Signs of high order derivatives for the theta and Epstein zeta functions and application Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:39:23.679568Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a3156f94-b090-4b38-88e6-b60a5a4a36d6 · outbound
This paper cites Minimizing Lattice Energy and Hexagonal Crystallization.
Signs of high order derivatives for the theta and Epstein zeta functions and application Minimizing Lattice Energy and Hexagonal Crystallization
Reference 16
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T22:39:23.506344Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation cadc036c-a6bd-44af-ac9c-1911d8a1c799 · outbound
This paper cites Ennola, A lemma about the Epstein zeta function, Proc.
Signs of high order derivatives for the theta and Epstein zeta functions and application Ennola, A lemma about the Epstein zeta function, Proc
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:23.666374Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 9d166e18-61eb-408e-9d7b-15c99e1ca6b3 · outbound
This paper cites Ennola, On a problem about the Epstein zeta-function , Proc.
Signs of high order derivatives for the theta and Epstein zeta functions and application Ennola, On a problem about the Epstein zeta-function , Proc
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:23.654667Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 46d3795d-49d9-44c4-9a49-a757671ff312 · outbound
This paper cites Evans, A fundamental region for Hecke modular group, J.
Signs of high order derivatives for the theta and Epstein zeta functions and application Evans, A fundamental region for Hecke modular group, J
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:23.640999Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f3e2cb11-ab61-4548-9bd8-81fb435b1792 · outbound
This paper cites an unresolved cited work.
Signs of high order derivatives for the theta and Epstein zeta functions and application Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:39:23.625771Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b0ae19af-ada0-42ba-afa2-1ac0396b17fe · outbound
This paper cites Luo and J.
Signs of high order derivatives for the theta and Epstein zeta functions and application Luo and J
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:23.612646Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 1c0b4f89-cbd9-4d5f-ae27-4cf5d01c7d44 · outbound
This paper cites Luo and J.
Signs of high order derivatives for the theta and Epstein zeta functions and application Luo and J
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:23.598000Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 533bfaf7-4e90-4329-a1cb-9c1bc8ec9b6b · outbound
This paper cites Luo and J.
Signs of high order derivatives for the theta and Epstein zeta functions and application Luo and J
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:23.584766Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b4323530-2458-48bd-b125-23a3a5f11136 · outbound
This paper cites On a variational model for the continuous mechanics exhibiting hexagonal to square Phase Transitions.
Signs of high order derivatives for the theta and Epstein zeta functions and application On a variational model for the continuous mechanics exhibiting hexagonal to square Phase Transitions
Reference 25
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T22:39:23.471685Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 5ac2a35a-7dff-4a51-941c-b787f5015990 · outbound
This paper cites On Minima of Difference of Epstein Zeta Functions and Exact Solutions to Lennard-Jones Lattice Energy.
Signs of high order derivatives for the theta and Epstein zeta functions and application On Minima of Difference of Epstein Zeta Functions and Exact Solutions to Lennard-Jones Lattice Energy
Reference 26
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T22:39:23.398387Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b9c84b79-f241-4c5a-86b0-c3d23b82933b · outbound
This paper cites Luo and J.
Signs of high order derivatives for the theta and Epstein zeta functions and application Luo and J
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:23.567679Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a727648d-ac8d-42b0-b197-46ad1152e6f2 · outbound
This paper cites On universally optimal lattice phase transitions and energy minimizers of completely monotone potentials.
Signs of high order derivatives for the theta and Epstein zeta functions and application On universally optimal lattice phase transitions and energy minimizers of completely monotone potentials
Reference 28
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T22:39:23.489496Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 17a70f39-0177-4339-82da-8bd461357492 · outbound
This paper cites Montgomery, Minimal theta functions, Glasgow Math.
Signs of high order derivatives for the theta and Epstein zeta functions and application Montgomery, Minimal theta functions, Glasgow Math
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:23.553399Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a02e1fd5-55f4-49fd-93c9-22d79dd0a9dc · outbound
This paper cites Radin, Low temperature and the origin of crystalline symmetry, Int.
Signs of high order derivatives for the theta and Epstein zeta functions and application Radin, Low temperature and the origin of crystalline symmetry, Int
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:23.537923Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 03fdf64c-fa91-41d1-bc7e-00c52e8c0ecf · outbound
This paper cites an unresolved cited work.
Signs of high order derivatives for the theta and Epstein zeta functions and application Unresolved cited work
Reference 31
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:39:23.522616Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Pith citing papers
No inbound Pith citation observations are available.