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Paper Citation Record · LEDGER

Torsion groups of Mordell curves over cubic and sextic fields

As of 16 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:1908.07791.

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

pith.paper-citation-record.v1
1908.07791 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:20:35.208103Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

21 of 21 outbound references displayed

  • verified exact1
  • verified fuzzy7
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 337a048d-198a-4155-bfea-a4fe72dc3135 · outbound

This paper cites an unresolved cited work.

Torsion groups of Mordell curves over cubic and sextic fields Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:20:35.771260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:20:35.083509Z digest=sha256:b30c2e78f4f16ddea2bd812f667dff214174b453946747dfe1eb1c742802ac65

Observation 25088890-f516-4f55-83b2-8045226c40e2 · outbound

This paper cites On the torsion of rational elliptic curves over sextic fields.

Torsion groups of Mordell curves over cubic and sextic fields On the torsion of rational elliptic curves over sextic fields

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:20:35.291140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:20:35.089217Z digest=sha256:4745aac5a8f2f49d9829deb2889eaab157c20c409c03387b369e7f366f5aedbe

Observation d62ff457-16b9-47fe-82c1-1fd37598f565 · outbound

This paper cites an unresolved cited work.

Torsion groups of Mordell curves over cubic and sextic fields Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:20:35.758029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:20:35.094646Z digest=sha256:dbe34f2c455295a311eb405ec1a59c21c783965437e5b0888c091d0900d8cd2f

Observation 4be2140d-bfdf-4305-a337-9194208470b5 · outbound

This paper cites an unresolved cited work.

Torsion groups of Mordell curves over cubic and sextic fields Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:20:35.740398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:20:35.099251Z digest=sha256:1c49263f5acd4e312bb0b0647f76dd9ff2eb7da245f5bcc9859fd62939f13b82

Observation 3d1e2ab3-fc30-4b40-b471-22227277421e · outbound

This paper cites an unresolved cited work.

Torsion groups of Mordell curves over cubic and sextic fields Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:20:35.723102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:20:35.104700Z digest=sha256:f82cd59ba7fb999a9fc077a1e5d01569f2a6ad986bda294e36237dc1af99f894

Observation 0102242a-755d-490b-af78-af842f8101af · outbound

This paper cites Gonz´ alez-Jim´ enez,Complete classification of the torsion structures of ration al elliptic curves over quintic number fields, J.

Torsion groups of Mordell curves over cubic and sextic fields Gonz´ alez-Jim´ enez,Complete classification of the torsion structures of ration al elliptic curves over quintic number fields, J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:20:35.704510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:20:35.113319Z digest=sha256:01df363aa95340f3a9f75d49c3ac4e3e33048dc0348e4da47daddcbeee655743

Observation cdeecdab-fd7f-43e0-be17-a39085562244 · outbound

This paper cites Growth of torsion groups of elliptic curves upon base change.

Torsion groups of Mordell curves over cubic and sextic fields Growth of torsion groups of elliptic curves upon base change

Reference 7

Resolution
metadata mismatch
local_arxiv, observed 2026-08-14T12:20:35.266330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:20:35.121581Z digest=sha256:8d8007dd965e29c38109d2b0a1d10522ef43a06d3c6c7ac3366c55220b5228f3

Observation 729f7e1a-a9fb-4a9d-ab42-4df10cfc9081 · outbound

This paper cites Gonz´ alez-Jim´ enez and J.

Torsion groups of Mordell curves over cubic and sextic fields Gonz´ alez-Jim´ enez and J

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:20:35.683691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:20:35.129597Z digest=sha256:ec0df396512e78d5f8b4c9adfe90a0d2d4530a64f8872af189e56f735064ad25

Observation 43f65440-54fd-4714-9100-e0208e203677 · outbound

This paper cites an unresolved cited work.

Torsion groups of Mordell curves over cubic and sextic fields Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:20:35.668296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:20:35.138338Z digest=sha256:a82dbd85455fe8583b1a46c065345db815818e7119a5b0198e70cbe7635f70e6

Observation f70ff970-8013-44f5-9163-584c99529ae9 · outbound

This paper cites Kamienny, Torsion points on elliptic curves and q-coefficients of modular forms, Invent.

Torsion groups of Mordell curves over cubic and sextic fields Kamienny, Torsion points on elliptic curves and q-coefficients of modular forms, Invent

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:20:35.646969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:20:35.145381Z digest=sha256:fbcbe702cbc452a920b8d4e672bd8c9d8b6eea0debe3f7f3a252af341e29349d

Observation d54a5faa-f1bd-4119-acf5-9ed9f00df962 · outbound

This paper cites an unresolved cited work.

Torsion groups of Mordell curves over cubic and sextic fields Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:20:35.613187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:20:35.150686Z digest=sha256:b1a9c02c518117eed126f00f364079596b39badcb2ae607ef61e3cda8d70b450

Observation 0bd7c73d-958f-41c7-a849-f3111e7b7510 · outbound

This paper cites an unresolved cited work.

Torsion groups of Mordell curves over cubic and sextic fields Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:20:35.580119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:20:35.155329Z digest=sha256:f1e75558c9551cc2bd9f356c969f2e5a8b504ca2a04723a5c7e92aa82469eedf

Observation f44f3169-10c4-4527-88a5-9c8baff39f82 · outbound

This paper cites an unresolved cited work.

Torsion groups of Mordell curves over cubic and sextic fields Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:20:35.565641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:20:35.160325Z digest=sha256:3d59134bb67e8c97884b3f65fb2032cb2aa8e8b7b405c1ab272edd64ff045ffe

Observation abe3be83-916f-4fad-8e90-b98725474560 · outbound

This paper cites Mazur, Modular curves and the Eisenstein ideal, Inst.

Torsion groups of Mordell curves over cubic and sextic fields Mazur, Modular curves and the Eisenstein ideal, Inst

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:20:35.544949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:20:35.168110Z digest=sha256:98f04e5661944ddee54f066c1d24837be04ca64eb5e7760daec61e78bea044e0

Observation 07ca3d2d-cc88-4697-9588-714ef93272e0 · outbound

This paper cites Merel, Bornes pour la torsion des courbes elliptiques sur les corps de nombres, Inventiones Mathematicae.

Torsion groups of Mordell curves over cubic and sextic fields Merel, Bornes pour la torsion des courbes elliptiques sur les corps de nombres, Inventiones Mathematicae

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:20:35.526343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:20:35.172726Z digest=sha256:bdf5cd85cdcf2edb80890232ebe165295e603e574f7a02169e1fa741baae0036

Observation 6f83db71-07ba-4441-a7a5-276a84c45925 · outbound

This paper cites an unresolved cited work.

Torsion groups of Mordell curves over cubic and sextic fields Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:20:35.505922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:20:35.178451Z digest=sha256:da55790b663f9b513736a12c945ed892bd721c2dd3e92c63c0f3f3df4bf58ae4

Observation 88fba798-2cfa-4fe7-94e4-56ed726cbd42 · outbound

This paper cites Najman, Torsion of rational elliptic curves over cubic fields and spo radic points on X1(n), Math.

Torsion groups of Mordell curves over cubic and sextic fields Najman, Torsion of rational elliptic curves over cubic fields and spo radic points on X1(n), Math

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:20:35.488889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:20:35.183858Z digest=sha256:43561e097590a9ac37c21498211ae1b9cedebd686d26fd52b5b5f153b3e82660

Observation 6293fdc4-8071-4e25-91b0-4dcfe8cab60d · outbound

This paper cites an unresolved cited work.

Torsion groups of Mordell curves over cubic and sextic fields Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:20:35.468279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:20:35.189034Z digest=sha256:c10ddecd53433ba58ca3a8c87d7c6b1ada24e4e819928508f9e6ee7c7c6d7f14

Observation 3a3a709c-858b-4e31-a9fa-ee472320b93c · outbound

This paper cites Peth˝ o, T.

Torsion groups of Mordell curves over cubic and sextic fields Peth˝ o, T

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:20:35.442255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:20:35.195883Z digest=sha256:f3d1c1ed9f61a32835600aff2f936041c1b508061a3684dc40649ab2ede83ac8

Observation 59e87a56-9fd0-4bed-b809-eac11bb292de · outbound

This paper cites an unresolved cited work.

Torsion groups of Mordell curves over cubic and sextic fields Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:20:35.419592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:20:35.201972Z digest=sha256:e2866738ae027c923eba971f87d73528c7608b4e182621265f3406ab22f6b0fd

Observation 093c77b5-6802-4147-8fe6-1fa2257134e5 · outbound

This paper cites an unresolved cited work.

Torsion groups of Mordell curves over cubic and sextic fields Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:20:35.396724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:20:35.208103Z digest=sha256:c660a0415fe4b07e6fad486ed8225b2673d0287a5f05f9a8e2b581a078c169ae

Pith citing papers

No inbound Pith citation observations are available.