Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T18:38:00.513987Z
Paper Citation Record · LEDGER
Studying number theory with deep learning: a case study with the M\"obius and squarefree indicator functions
As of 18 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2502.10335.
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 2026-08-18T06:34:40.430872+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
19 of 19 outbound references displayed
- verified exact2
- verified fuzzy14
- unresolved3
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 70e075f7-5238-4ac9-9178-e21e962ec893 · outbound
This paper cites Adleman and Kevin S.
Studying number theory with deep learning: a case study with the M\"obius and squarefree indicator functions Adleman and Kevin S
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T18:38:01.558259Z
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.
Observation 7881e815-f105-408e-8f52-48e5ca918a85 · outbound
This paper cites Booker, Ghaith A.
Studying number theory with deep learning: a case study with the M\"obius and squarefree indicator functions Booker, Ghaith A
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T18:38:01.531441Z
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.
Observation dbc79bef-4808-4aa1-9601-330704abedae · outbound
This paper cites Transformers to Predict the Applicability of Symbolic Integration Routines.
Studying number theory with deep learning: a case study with the M\"obius and squarefree indicator functions Transformers to Predict the Applicability of Symbolic Integration Routines
Reference 3
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T18:38:00.852822Z
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.
Observation 4500b7f2-97ab-4231-8590-fbea7f8b7934 · outbound
This paper cites Computing the roots of polynomials.
Studying number theory with deep learning: a case study with the M\"obius and squarefree indicator functions Computing the roots of polynomials
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T18:38:01.473916Z
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.
Observation ced92f47-5370-489f-81b7-7f70c5719c37 · outbound
This paper cites Linear algebra with transformers.
Studying number theory with deep learning: a case study with the M\"obius and squarefree indicator functions Linear algebra with transformers
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T18:38:01.391571Z
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.
Observation 88a74714-73ad-46a7-a4a8-4ff9276ba9cb · outbound
This paper cites Int2int, 2024.
Studying number theory with deep learning: a case study with the M\"obius and squarefree indicator functions Int2int, 2024
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T18:38:01.285922Z
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.
Observation 42c39f16-e0ac-4bd4-87d9-76df95a08f2f · outbound
This paper cites Learning the greatest common divisor: explaining transformer predictions.
Studying number theory with deep learning: a case study with the M\"obius and squarefree indicator functions Learning the greatest common divisor: explaining transformer predictions
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T18:38:01.227082Z
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.
Observation 03faf340-ec85-4180-a69f-04109e665f0f · outbound
This paper cites What does machine learning have to offer number theory? Available at https://youtu.be/jjA2CqY5Ang, 2024.
Studying number theory with deep learning: a case study with the M\"obius and squarefree indicator functions What does machine learning have to offer number theory? Available at https://youtu.be/jjA2CqY5Ang, 2024
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T18:38:01.177354Z
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.
Observation 00853063-03dd-4322-889c-e7fe46e9afdd · outbound
This paper cites The M \"obius function is strongly orthogonal to nilsequences.
Studying number theory with deep learning: a case study with the M\"obius and squarefree indicator functions The M \"obius function is strongly orthogonal to nilsequences
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T18:38:01.144703Z
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.
Observation 8a93d238-3e02-4267-ad65-228869172e97 · outbound
This paper cites Kreber, Markus Norman Rabe, and Bernd Finkbeiner.
Studying number theory with deep learning: a case study with the M\"obius and squarefree indicator functions Kreber, Markus Norman Rabe, and Bernd Finkbeiner
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T18:38:01.117641Z
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.
Observation 252c5ce3-081b-4e0e-aa35-f30a17baef9b · outbound
This paper cites Adam: A Method for Stochastic Optimization.
Studying number theory with deep learning: a case study with the M\"obius and squarefree indicator functions Adam: A Method for Stochastic Optimization
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T18:38:00.407640Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 441634d8-1522-425a-a505-8c9aa0cc70c4 · outbound
This paper cites Neural GPUs learn algorithms.
Studying number theory with deep learning: a case study with the M\"obius and squarefree indicator functions Neural GPUs learn algorithms
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T18:38:01.087356Z
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.
Observation d0614185-442e-49eb-b504-2756a45af32b · outbound
This paper cites Code accompanying ``Studying number theory with deep learning: a case study with the M\" o bius and squarefree indicator functions'' , 2025.
Studying number theory with deep learning: a case study with the M\"obius and squarefree indicator functions Code accompanying ``Studying number theory with deep learning: a case study with the M\" o bius and squarefree indicator functions'' , 2025
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T18:38:01.053893Z
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.
Observation 974c0862-186d-4b87-9095-3484d494f813 · outbound
This paper cites Montgomery and Robert C.
Studying number theory with deep learning: a case study with the M\"obius and squarefree indicator functions Montgomery and Robert C
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T18:38:00.446289Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 26f74712-452e-43c9-b5f8-f98c45e1f0ec · outbound
This paper cites Investigating the ability of neural networks to learn simple modular arithmetic.
Studying number theory with deep learning: a case study with the M\"obius and squarefree indicator functions Investigating the ability of neural networks to learn simple modular arithmetic
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T18:38:01.001832Z
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.
Observation 0b44bf4c-d91f-4965-8401-5d09c16a50bd · outbound
This paper cites Generative Language Modeling for Automated Theorem Proving.
Studying number theory with deep learning: a case study with the M\"obius and squarefree indicator functions Generative Language Modeling for Automated Theorem Proving
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T18:38:00.487359Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation da5f9b78-b22c-4087-9dee-802c750f9e76 · outbound
This paper cites Three lectures on M öbius randomness.
Studying number theory with deep learning: a case study with the M\"obius and squarefree indicator functions Three lectures on M öbius randomness
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T18:38:00.969053Z
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.
Observation 6facfc28-7978-4fb0-9167-64dcde37d017 · outbound
This paper cites Transformer-based Machine Learning for Fast SAT Solvers and Logic Synthesis.
Studying number theory with deep learning: a case study with the M\"obius and squarefree indicator functions Transformer-based Machine Learning for Fast SAT Solvers and Logic Synthesis
Reference 18
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T18:38:00.629392Z
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.
Observation b9a2d851-7f53-40ef-8f7a-1b8872e79a1b · outbound
This paper cites Number-theoretic functions which are equivalent to number of divisors.
Studying number theory with deep learning: a case study with the M\"obius and squarefree indicator functions Number-theoretic functions which are equivalent to number of divisors
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T18:38:00.926526Z
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.
Pith citing papers
No inbound Pith citation observations are available.