Paper Citation Record · LEDGER

Upper bounds for moments of analytic ranks of elliptic curves over number fields

As of 12 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2607.15998.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.15998 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T21:51:55.490316Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

23 of 23 outbound references displayed

verified exact10
verified fuzzy0
unresolved12
parse uncertain1
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 15ed70da-6b82-4e0b-9fb3-e8dd97e51cc9 · outbound

This paper cites an unresolved cited work.

Upper bounds for moments of analytic ranks of elliptic curves over number fields Unresolved cited work

Reference 1

Resolution: verified exact; doi, observed 2026-08-01T21:53:24.175985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 071a93f1-8aeb-4a88-91c0-04b87e1d1b97 · outbound

This paper cites 2013 , eprint=.

Upper bounds for moments of analytic ranks of elliptic curves over number fields 2013 , eprint=

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T21:51:53.993244Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d1344ac4-6adf-461b-8be5-04b7cd744de2 · outbound

This paper cites an unresolved cited work.

Upper bounds for moments of analytic ranks of elliptic curves over number fields Unresolved cited work

Reference 3

Resolution: verified exact; doi, observed 2026-08-01T21:53:23.853391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2409edd4-1fd1-462b-a7fb-82c06c6c33b4 · outbound

This paper cites an unresolved cited work.

Upper bounds for moments of analytic ranks of elliptic curves over number fields Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T21:51:54.178354Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7b9320ea-8428-4e25-95e1-8bc916f8ce1e · outbound

This paper cites Counting elliptic curves over $\mathbb{Q}$ with bounded naive height.

Upper bounds for moments of analytic ranks of elliptic curves over number fields Counting elliptic curves over $\mathbb{Q}$ with bounded naive height

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T21:51:54.232329Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0f32e8af-f75d-4e0b-a635-9743a824f9f9 · outbound

This paper cites and Jeong, Keunyoung , TITLE =.

Upper bounds for moments of analytic ranks of elliptic curves over number fields and Jeong, Keunyoung , TITLE =

Reference 6

Resolution: verified exact; doi, observed 2026-08-01T21:53:23.509647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e328ec93-dffd-4013-a1b1-835ef7f1790c · outbound

This paper cites and Corn, Patrick and Rice, Alex and Stankewicz, James , TITLE =.

Upper bounds for moments of analytic ranks of elliptic curves over number fields and Corn, Patrick and Rice, Alex and Stankewicz, James , TITLE =

Reference 7

Resolution: verified exact; doi, observed 2026-08-01T21:53:23.307492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 99c39d80-b7b1-4394-ac4e-df0cd96ea8a8 · outbound

This paper cites 2005 , PAGES =.

Upper bounds for moments of analytic ranks of elliptic curves over number fields 2005 , PAGES =

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T21:51:54.468588Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 37a18231-11c7-475c-8acf-edc64b174203 · outbound

This paper cites an unresolved cited work.

Upper bounds for moments of analytic ranks of elliptic curves over number fields Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T21:51:54.566943Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a9b4f1ba-9e75-4249-9fe7-83e495ceb4a1 · outbound

This paper cites an unresolved cited work.

Upper bounds for moments of analytic ranks of elliptic curves over number fields Unresolved cited work

Reference 10

Resolution: verified exact; doi, observed 2026-08-01T21:53:23.022382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c85b83d9-19f0-4e23-b009-f16cffbabd47 · outbound

This paper cites an unresolved cited work.

Upper bounds for moments of analytic ranks of elliptic curves over number fields Unresolved cited work

Reference 11

Resolution: verified exact; doi, observed 2026-08-01T21:53:22.694405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4f0ca5b9-59fd-43c7-a280-efcc2917cf6c · outbound

This paper cites 2004 , PAGES =.

Upper bounds for moments of analytic ranks of elliptic curves over number fields 2004 , PAGES =

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T21:51:54.750233Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f17aac25-3053-4fbb-b2ff-a17592ff7835 · outbound

This paper cites an unresolved cited work.

Upper bounds for moments of analytic ranks of elliptic curves over number fields Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T21:51:54.811988Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 67f72dca-f062-4702-8bb5-17c032285232 · outbound

This paper cites 2002 , PAGES =.

Upper bounds for moments of analytic ranks of elliptic curves over number fields 2002 , PAGES =

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T21:51:54.866621Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1b3661f0-3f66-4c15-8155-a6df853a7540 · outbound

This paper cites and Wong, Siman , TITLE =.

Upper bounds for moments of analytic ranks of elliptic curves over number fields and Wong, Siman , TITLE =

Reference 15

Resolution: verified exact; doi, observed 2026-08-01T21:53:22.436759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a92e1d63-bd2a-4915-b308-805c40654323 · outbound

This paper cites 2023 , PAGES =.

Upper bounds for moments of analytic ranks of elliptic curves over number fields 2023 , PAGES =

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T21:51:54.982427Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e8658a8e-c82e-4e23-80e6-c757133ad904 · outbound

This paper cites an unresolved cited work.

Upper bounds for moments of analytic ranks of elliptic curves over number fields Unresolved cited work

Reference 17

Resolution: verified exact; doi, observed 2026-08-01T21:53:22.077250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a637cc35-e3f7-4256-b1f2-f1676db456e4 · outbound

This paper cites Forum Math.

Upper bounds for moments of analytic ranks of elliptic curves over number fields Forum Math

Reference 18

Resolution: verified exact; doi, observed 2026-08-01T21:53:21.860525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 512d4a86-b1bb-4112-987d-29a845912dbe · outbound

This paper cites 1968 , PAGES =.

Upper bounds for moments of analytic ranks of elliptic curves over number fields 1968 , PAGES =

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T21:51:55.144320Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b76cb1cc-6fda-4e24-adb0-7801f9975980 · outbound

This paper cites an unresolved cited work.

Upper bounds for moments of analytic ranks of elliptic curves over number fields Unresolved cited work

Reference 20

Resolution: parse uncertain; no resolver link, observed 2026-08-01T21:51:55.246212Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb8c9dc1-a30d-41f8-a483-f3ed28b25126 · outbound

This paper cites , TITLE =.

Upper bounds for moments of analytic ranks of elliptic curves over number fields , TITLE =

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T21:51:55.346578Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fe47df26-1e29-49b4-981d-cf6eb52de9d5 · outbound

This paper cites , TITLE =.

Upper bounds for moments of analytic ranks of elliptic curves over number fields , TITLE =

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T21:51:55.417366Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2b83ed69-0904-4d83-8321-88a78d6f87c9 · outbound

This paper cites , TITLE =.

Upper bounds for moments of analytic ranks of elliptic curves over number fields , TITLE =

Reference 23

Resolution: verified exact; doi, observed 2026-08-01T21:53:21.614328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

No inbound Pith citation observations are available.