Paper Citation Record · LEDGER

On Howard's main conjecture and the Heegner point Kolyvagin system

As of 20 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:1908.09197.

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

pith.paper-citation-record.v1
1908.09197 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:28:48.431234Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

22 of 22 outbound references displayed

verified exact2
verified fuzzy9
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d21a1941-775c-47cc-a369-36eecaad6b19 · outbound

This paper cites Indivisibility of Heegner points and arithmetic applications.

On Howard's main conjecture and the Heegner point Kolyvagin system Indivisibility of Heegner points and arithmetic applications

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:28:48.529152Z

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 82c7fd9b-2978-4b81-9170-b4de8457c75d · outbound

This paper cites Generalized H eegner cycles and p -adic R ankin L -series.

On Howard's main conjecture and the Heegner point Kolyvagin system Generalized H eegner cycles and p -adic R ankin L -series

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:28:48.727584Z

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 305e1fe9-a989-4db6-9029-824a360db5b2 · outbound

This paper cites L -functions and T amagawa numbers of motives.

On Howard's main conjecture and the Heegner point Kolyvagin system L -functions and T amagawa numbers of motives

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-14T11:28:48.348554Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c65e3612-6ecd-4c25-b7b1-ba7f8d28ac53 · outbound

This paper cites Burungale.

On Howard's main conjecture and the Heegner point Kolyvagin system Burungale

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-14T11:28:48.352655Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 347ac40d-ff64-4676-88b9-6c83f53569e1 · outbound

This paper cites Heegner cycles and p -adic L -functions.

On Howard's main conjecture and the Heegner point Kolyvagin system Heegner cycles and p -adic L -functions

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:28:48.698318Z

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 22a05ef0-8688-4870-92f7-5abbad32f376 · outbound

This paper cites Nontriviality of R ankin- S elberg L -functions and CM points.

On Howard's main conjecture and the Heegner point Kolyvagin system Nontriviality of R ankin- S elberg L -functions and CM points

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:28:48.684801Z

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 fd813ec1-2d56-4f72-8702-831f5a024750 · outbound

This paper cites Perrin-Riou's main conjecture for elliptic curves at supersingular primes.

On Howard's main conjecture and the Heegner point Kolyvagin system Perrin-Riou's main conjecture for elliptic curves at supersingular primes

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:28:48.509950Z

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 88e5c04e-a67e-4bbe-972f-66c467d91961 · outbound

This paper cites an unresolved cited work.

On Howard's main conjecture and the Heegner point Kolyvagin system Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:28:48.670852Z

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 a02a6fe0-e228-4056-8e99-0186506944e1 · outbound

This paper cites Points de H eegner et d\'eriv\'ees de fonctions L.

On Howard's main conjecture and the Heegner point Kolyvagin system Points de H eegner et d\'eriv\'ees de fonctions L

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:28:48.657603Z

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 35b26f6e-b65f-4e83-9396-2767daf6b62b · outbound

This paper cites The H eegner point K olyvagin system.

On Howard's main conjecture and the Heegner point Kolyvagin system The H eegner point K olyvagin system

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-14T11:28:48.380251Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d834de5-2aea-4b45-9302-35a344ab310b · outbound

This paper cites Iwasawa theory of H eegner points on abelian varieties of GL_2 type.

On Howard's main conjecture and the Heegner point Kolyvagin system Iwasawa theory of H eegner points on abelian varieties of GL_2 type

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:28:48.636294Z

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 d0cc9de7-7955-4064-bdb0-b171b42b1299 · outbound

This paper cites Special values of anticyclotomic R ankin- S elberg L -functions.

On Howard's main conjecture and the Heegner point Kolyvagin system Special values of anticyclotomic R ankin- S elberg L -functions

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:28:48.623041Z

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 f0e2690a-f994-42b2-b4e5-80094144102f · outbound

This paper cites The B irch and S winnerton- D yer formula for elliptic curves of analytic rank one.

On Howard's main conjecture and the Heegner point Kolyvagin system The B irch and S winnerton- D yer formula for elliptic curves of analytic rank one

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-14T11:28:48.393246Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f834618-b2fe-4508-90a4-d9c9e96ef164 · outbound

This paper cites an unresolved cited work.

On Howard's main conjecture and the Heegner point Kolyvagin system Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:28:48.601402Z

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 94f99fd9-8226-4ec1-8e19-918cd500b85a · outbound

This paper cites Kolyvagin systems.

On Howard's main conjecture and the Heegner point Kolyvagin system Kolyvagin systems

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-14T11:28:48.401290Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 48e4bd29-0a4f-45ee-8631-d53f302815c9 · outbound

This paper cites Fonctions L p -adiques, th\' e orie d' I wasawa et points de H eegner.

On Howard's main conjecture and the Heegner point Kolyvagin system Fonctions L p -adiques, th\' e orie d' I wasawa et points de H eegner

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:28:48.580471Z

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 3205cbbc-7b6c-4e8e-8fe1-374659d9934f · outbound

This paper cites Propri\' e t\' e s galoisiennes des points d'ordre fini des courbes elliptiques.

On Howard's main conjecture and the Heegner point Kolyvagin system Propri\' e t\' e s galoisiennes des points d'ordre fini des courbes elliptiques

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:28:48.565565Z

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 7a3c2f31-720c-4dbd-9f35-8a69e12e2031 · outbound

This paper cites Lectures on the I wasawa theory of elliptic curvs, 2018.

On Howard's main conjecture and the Heegner point Kolyvagin system Lectures on the I wasawa theory of elliptic curvs, 2018

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:28:48.552190Z

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 9b9ee531-4a9a-4266-a844-abf30585dc9b · outbound

This paper cites Indivisibility of Heegner points in the multiplicative case.

On Howard's main conjecture and the Heegner point Kolyvagin system Indivisibility of Heegner points in the multiplicative case

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-14T11:28:48.418155Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bb0cbebb-e3ae-49bc-b936-9833d624a0c3 · outbound

This paper cites Heegner Point Kolyvagin System and Iwasawa Main Conjecture.

On Howard's main conjecture and the Heegner point Kolyvagin system Heegner Point Kolyvagin System and Iwasawa Main Conjecture

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-14T11:28:48.422370Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec3a2658-a8ce-4cef-aa1d-4d4936b47bfa · outbound

This paper cites Iwasawa Main Conjecture for Rankin-Selberg p-adic L-functions.

On Howard's main conjecture and the Heegner point Kolyvagin system Iwasawa Main Conjecture for Rankin-Selberg p-adic L-functions

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-14T11:28:48.426754Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b4f67bfb-42c5-4c0c-8c9a-6f863dfee27e · outbound

This paper cites Selmer groups and the indivisibility of H eegner points.

On Howard's main conjecture and the Heegner point Kolyvagin system Selmer groups and the indivisibility of H eegner points

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-14T11:28:48.431234Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.