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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=sha256:3c90ac151123d07fd3725e901ed8c9d9bf3eb26b1ff299bf05fb839d2493f14a

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:c895da537d97e40450ccf89542f26ee3cc2c12a7b83c49b5f95d9116d01fa97a

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=sha256:9237a5013ba82d91c34800bf88b706915181bfe7e2c87a89b11a73d6aa8ef086

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=sha256:4609f09d710446b91c7848c9153a32a16f046ebdccde80e18a202b84d3a14c2a

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=sha256:08a2364ec419e065b140c18ba224f8b9f5b37322afa83962cd52e4976f7cb0db

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:ee739de587fbc43d7426bb52a4b3c7289deaae5d3463bec02d686156ce4c8b00

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:c91e346052b9089268373d80c0356128ae001a033a859c1fbdf67300d579c65b

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=sha256:93b6f14d734b13aff3e2741e0d7dd6cbf916a510c217ee7889de153bd637e44f

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=sha256:236cf984f824be8fc7152beb0b1d067cee8b2144cbd55385bb250779be1e74b0

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:b4f64a44d596c1873629b92abc50ca777885ae5d0a4dd3f40e79742010769aff

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=sha256:0e3131356616a9c716900966a567dfc3a63251956302bc9866f277b6961e31fb

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:a409ecc253ab8b8a826ca10a1d87ae01d499aefd1ebde4105dc73f00a4d70935

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:c7049516d65aeb5aab81a3c845c648786fcffeb551f93ccf802ea044bcdae1ad

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=sha256:3d7e63929fff3df830306fe585f9c011930dd7dfa002d7ff95a26297016dcd9d

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:ab878cb4ac87e9f2a2ccffcf2dd309647f27997967df951d078149d53402c915

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:f051dc8603cdf6c48e034df3574972546f080b1f1e8e984ad3843ccaa0cfdc13

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=sha256:56376cb5891b342e2af47f498e29d0f63a75d1f2fc1db8154aac4137043ab92a

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:c07584aca0c60f9d87eae3aeb7ecaf965741cc410224e0c875b9a780d4056945

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:c6c3b0200072c27b2cd25313542d80fbfcbcc471a41f4e9f3b65472be58d1f1f

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=sha256:949f905f0fa68e1a0a77c6ee5ec5cf8098c8bdde15ab96c17c1bdd42fe86251f

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=sha256:4fd1850d87bb3b08f8f0388b115ff8d906a58800bbffb8289ae952d52db80bb2

Pith citing papers

No inbound Pith citation observations are available.