Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T04:54:58.984897Z
Paper Citation Record · LEDGER
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$
As of 21 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 2 inbound Pith citation observations for arXiv:2412.00995.
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 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-16T10:51:27.032613Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-07T06:06:01.945770Z
Reference resolution
48 of 48 outbound references displayed
- verified exact2
- verified fuzzy26
- unresolved20
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 334c3f6d-a8cc-4744-9234-e54842260e3f · outbound
This paper cites Improved bounds on number fields of small degree.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Improved bounds on number fields of small degree
Reference 1
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T04:54:59.097606Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 50ae1a46-ad7a-454c-96f5-8d9018676509 · outbound
This paper cites an unresolved cited work.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T04:54:59.531103Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4c1bc0ce-b0f5-4f77-a454-4953fdb2ee89 · outbound
This paper cites an unresolved cited work.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T04:54:59.520736Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 07b9a262-9a09-492b-aa88-d49162f410e6 · outbound
This paper cites Bektemirov, B.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Bektemirov, B
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:54:59.510262Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 1f85c829-ad7f-49c8-927a-5f51ec7a8265 · outbound
This paper cites Belabas, M.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Belabas, M
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:54:59.498985Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5103971d-977f-4f8a-882c-f5ee69a6931b · outbound
This paper cites Hyperelliptic curves, the scanning map, and moments of families of quadratic L-functions.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Hyperelliptic curves, the scanning map, and moments of families of quadratic L-functions
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T04:54:58.837570Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2d08e610-fd33-4c76-93fb-a68dd08398a3 · outbound
This paper cites Bhargava.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Bhargava
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:54:59.488125Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5f49b441-5cd4-4daf-8292-9be0fa6c0c61 · outbound
This paper cites Bhargava.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Bhargava
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:54:59.477157Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3197ee7e-f166-4300-9297-5a4393401338 · outbound
This paper cites Bhargava.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Bhargava
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:54:59.465982Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation b023af9f-e9ab-4f9e-9fbd-1202d74a086f · outbound
This paper cites Bhargava.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Bhargava
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:54:59.455543Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 53fa1296-2c19-4923-bdf9-e12ec42070a4 · outbound
This paper cites The geometric sieve and the density of squarefree values of invariant polynomials.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ The geometric sieve and the density of squarefree values of invariant polynomials
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T04:54:58.855136Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cadf954c-bbff-4fcd-bb8e-f84b44aafcef · outbound
This paper cites The mean number of 2-torsion elements in the class groups of $n$-monogenized cubic fields.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ The mean number of 2-torsion elements in the class groups of $n$-monogenized cubic fields
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T04:54:58.858942Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 46922102-c82a-4a2f-9c01-1863ad1a92e8 · outbound
This paper cites The average size of the 5-Selmer group of elliptic curves is 6, and the average rank is less than 1.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ The average size of the 5-Selmer group of elliptic curves is 6, and the average rank is less than 1
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T04:54:58.862466Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 28a7ecb5-033b-4908-983c-4be23e653dfd · outbound
This paper cites Bhargava and A.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Bhargava and A
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:54:59.444798Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 237a1c43-64ff-4aed-b4db-4f73357dd4ff · outbound
This paper cites Bhargava and A.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Bhargava and A
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:54:59.434148Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 7bd9daf7-f41c-4a2d-b13c-a2c0b3ac1ea2 · outbound
This paper cites Bhargava, A.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Bhargava, A
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:54:59.423964Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e9efdb11-78a4-416a-bd34-3a56a66dff2f · outbound
This paper cites Bhargava, T.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Bhargava, T
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:54:59.412163Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation dae98663-a053-4ec4-82ca-b10222217610 · outbound
This paper cites an unresolved cited work.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T04:54:59.401559Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation b8250b52-0699-4eba-8f48-40e284924fc1 · outbound
This paper cites Hurwitz spaces, Nichols algebras, and Igusa zeta functions.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Hurwitz spaces, Nichols algebras, and Igusa zeta functions
Reference 19
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T04:54:59.039973Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d51fe119-45f9-4e59-a1dd-2661686f7dba · outbound
This paper cites an unresolved cited work.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T04:54:59.391175Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a269dbfb-b476-427d-ac20-844c5f37d900 · outbound
This paper cites an unresolved cited work.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T04:54:59.381053Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4126ba4e-01fa-49e9-a90a-68ce4ffb0d51 · outbound
This paper cites Davenport.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Davenport
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:54:59.369084Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 379633a3-2592-4e24-9c81-ef574d3f868d · outbound
This paper cites Davenport.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Davenport
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:54:59.357021Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 9ef437f2-5ab0-4207-b00c-bc87f91a049f · outbound
This paper cites an unresolved cited work.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T04:54:59.346091Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation f3d5a6f9-678b-4f45-8187-6ffe5ca88b27 · outbound
This paper cites an unresolved cited work.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T04:54:59.336694Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 1b539ac2-9701-4bb6-bbec-7c0b95146761 · outbound
This paper cites Diaconu and H.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Diaconu and H
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:54:59.326885Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 9344baac-9c0e-47a7-ba8c-d1fa94a219c7 · outbound
This paper cites an unresolved cited work.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T04:54:59.316335Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d35f8804-af3b-4073-8341-1d62493adaca · outbound
This paper cites an unresolved cited work.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T04:54:59.306358Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 30ef6dfa-d69c-4a73-9c0e-4ab6b73edc51 · outbound
This paper cites Goldfeld.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Goldfeld
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:54:59.296094Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4911c24a-ff00-4659-80b3-73ce9d5691a8 · outbound
This paper cites G´ omez-Gonz´ ales and J.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ G´ omez-Gonz´ ales and J
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:54:59.284918Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d6da171d-d667-4206-a3b9-b9f30ffc2451 · outbound
This paper cites Heilbronn.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Heilbronn
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:54:59.274335Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 45acd4a1-c937-4f68-952a-8da91d434e87 · outbound
This paper cites H¨ ormander.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ H¨ ormander
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:54:59.263518Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5a80fd3d-b3d1-4936-8064-ca5d19548228 · outbound
This paper cites Exponential sums over singular binary quartic forms and applications.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Exponential sums over singular binary quartic forms and applications
Reference 33
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T04:54:58.930553Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c8682131-3751-4caf-b27e-6933aa94d376 · outbound
This paper cites an unresolved cited work.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Unresolved cited work
Reference 34
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T04:54:59.252432Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e0210c01-a78d-4765-84d3-fe0b44ef84f1 · outbound
This paper cites an unresolved cited work.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T04:54:59.241910Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation dbfa21b6-b6ac-4c75-be3f-054d1019e3a1 · outbound
This paper cites Nakagawa.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Nakagawa
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:54:59.232069Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c876d3d5-c054-4220-b823-304e75d2455f · outbound
This paper cites Poonen and E.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Poonen and E
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:54:59.222515Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 94a0d385-d906-43f9-9073-44f25e6b3d7c · outbound
This paper cites an unresolved cited work.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Unresolved cited work
Reference 38
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T04:54:59.212875Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 8045a055-fdf5-4635-a9a4-813cf87f6d7c · outbound
This paper cites Sato and T.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Sato and T
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:54:59.201497Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 48359816-f546-4f00-ad4d-e0d502e43a5a · outbound
This paper cites Selberg and S.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Selberg and S
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:54:59.190436Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation cf095ee4-fef8-405c-8530-4675bf269b3f · outbound
This paper cites Counting integral points on symmetric varieties with applications to arithmetic statistics.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Counting integral points on symmetric varieties with applications to arithmetic statistics
Reference 41
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T04:54:58.960213Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fe10ea7f-7ad1-4837-a830-9586be77eb8f · outbound
This paper cites Shankar, A.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Shankar, A
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:54:59.179641Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c386450f-5639-4c90-82e0-431b005ec2f7 · outbound
This paper cites Shankar and J.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Shankar and J
Reference 43
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:54:59.169481Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation df4834cc-35a0-4830-8389-82af8968a5e7 · outbound
This paper cites Shintani.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Shintani
Reference 44
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:54:59.157240Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation da0383fb-9ffe-4684-a1f6-36cf46c488bf · outbound
This paper cites Shintani.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Shintani
Reference 45
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:54:59.145063Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation b92da515-2ea2-4ca1-ad9c-f35ae93cc5e2 · outbound
This paper cites Taniguchi and F.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Taniguchi and F
Reference 46
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:54:59.133343Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3f35da84-fadd-43f7-9b01-8480d3cdc214 · outbound
This paper cites an unresolved cited work.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Unresolved cited work
Reference 47
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T04:54:59.121875Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 2d4c6cfa-a4b3-4f40-b4b8-938b774096c2 · outbound
This paper cites an unresolved cited work.
Secondary terms in the first moment of $|{\rm Sel}_2(E)|$ Unresolved cited work
Reference 48
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T04:54:59.109776Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Pith citing papers
Observation 83d3ab98-f0eb-44e4-8ca3-bca153961b38 · inbound
The geometry of secondary terms in arithmetic statistics cites this paper.
The geometry of secondary terms in arithmetic statistics Secondary terms in the first moment of $|{\rm Sel}_2(E)|$
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T10:51:27.032613Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8d8b9af9-c095-4302-a170-1e4c666d4b2d · inbound
Boundedness of average rank of elliptic curves ordered by the coefficients cites this paper.
Boundedness of average rank of elliptic curves ordered by the coefficients Secondary terms in the first moment of $|{\rm Sel}_2(E)|$
Reference 15
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T06:06:01.951720Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.