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Paper Citation Record · LEDGER

A Constructive Proof of Masser's Theorem

As of 16 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:1908.04938.

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

pith.paper-citation-record.v1
1908.04938 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:34:57.882970Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

12 of 12 outbound references displayed

  • verified exact0
  • verified fuzzy7
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1d223729-7b36-4065-bf79-e5dc0f573063 · outbound

This paper cites Barrios, Caleb Tillman, and Charles Watts, Exceptional abc triples for frey curves with torsion subgroups z_ 2 z_ 4 and z_ 2 z_ 8 , MSRI Journal (2010).

A Constructive Proof of Masser's Theorem Barrios, Caleb Tillman, and Charles Watts, Exceptional abc triples for frey curves with torsion subgroups z_ 2 z_ 4 and z_ 2 z_ 8 , MSRI Journal (2010)

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:34:58.095174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:34:57.827267Z digest=sha256:b21612aab9186ce1adc6561767dba6da0df557ce7c09202d25d7c4504cbdf2e1

Observation 448f320c-4f5a-456f-b1ec-6636c8e0dc2d · outbound

This paper cites an unresolved cited work.

A Constructive Proof of Masser's Theorem Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:34:58.078320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:34:57.833116Z digest=sha256:01fa800dbbf49831b20c810bc3efd54a4b45913e05e43d97fcde8ae72c20e3e1

Observation 3c2468b1-6e3b-4d2f-b306-53ff6be4df7a · outbound

This paper cites Howe, Franck Lepr\'evost, and Bjorn Poonen, Large torsion subgroups of split J acobians of curves of genus two or three , Forum Math.

A Constructive Proof of Masser's Theorem Howe, Franck Lepr\'evost, and Bjorn Poonen, Large torsion subgroups of split J acobians of curves of genus two or three , Forum Math

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:34:58.061675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:34:57.838262Z digest=sha256:4ba0717a248fe2bc926082c4a2523b8d0b9cdc08c558f14090c363ae9e6c8ade

Observation 8afc106e-7eee-4317-a366-bc3ca49b9a59 · outbound

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

A Constructive Proof of Masser's Theorem Kamienny, Torsion points on elliptic curves and q -coefficients of modular forms , Invent

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-14T13:34:57.843635Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:34:57.843635Z digest=sha256:7321d936bbf1b065ee3f9b21288335ed36796a6109100ac462a93b34de04d83a

Observation e9d74920-f7bf-4200-8e7e-e46799ed3415 · outbound

This paper cites London Math.

A Constructive Proof of Masser's Theorem London Math

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:34:58.033576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:34:57.848694Z digest=sha256:840390cda3f6e661da617c1acd4ee94d621309a4ca35d7741fa3cd9867c02992

Observation 90daf51c-68cb-4338-afd6-64efe178f905 · outbound

This paper cites an unresolved cited work.

A Constructive Proof of Masser's Theorem Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:34:58.016432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:34:57.854323Z digest=sha256:e4ed5a4ec9884f7f24c90ad1ff3739af3d318715065a175831c44abb8afbfad2

Observation 5756c4ab-b9c0-4ed2-bf40-6133402f3d7f · outbound

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

A Constructive Proof of Masser's Theorem Mazur, Modular curves and the E isenstein ideal , Inst

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:34:57.999875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:34:57.860008Z digest=sha256:c40ee7b609955186c90fd4429053c6c5f9659f59b445eeb7c89a29caa3cfc118

Observation 81235001-d081-44a3-9b35-2d4b34b58597 · outbound

This paper cites 161-162, Exp.\ No.\ 694, 4, 165--186 (1989), S\'eminaire Bourbaki, Vol.

A Constructive Proof of Masser's Theorem 161-162, Exp.\ No.\ 694, 4, 165--186 (1989), S\'eminaire Bourbaki, Vol

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:34:57.981501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:34:57.864629Z digest=sha256:bd232b07bab69c1b14090b8711ff4c70690360d35c1f9b2531a2c61446f1fbed

Observation 8f35ecc8-76c1-4e70-ab39-e90467979b6d · outbound

This paper cites 78 (1996), no.

A Constructive Proof of Masser's Theorem 78 (1996), no

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:34:57.965392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:34:57.869218Z digest=sha256:85973d01d69559dad6e226e06177879a7e2663e0531f23b67087c3c01f7e0597

Observation 9fe94757-fdea-47fb-a53b-1fef09f27e54 · outbound

This paper cites 447--461.

A Constructive Proof of Masser's Theorem 447--461

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:34:57.948416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:34:57.873633Z digest=sha256:22bd36e95af1eb07ce46275fca63f19f94dd7e839a3fc84dbf9a37331a6405d0

Observation 4f568773-d078-4fa8-b7fe-cd073587989d · outbound

This paper cites Silverman, The arithmetic of elliptic curves, second ed., Graduate Texts in Mathematics, vol.

A Constructive Proof of Masser's Theorem Silverman, The arithmetic of elliptic curves, second ed., Graduate Texts in Mathematics, vol

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-14T13:34:57.878408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:34:57.878408Z digest=sha256:d23c86d28d1619d78dbf6ab011027e5585624a0186137e6fc758c4c5b7b2899c

Observation e694228f-c560-4582-887d-3d93f768baad · outbound

This paper cites an unresolved cited work.

A Constructive Proof of Masser's Theorem Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:34:57.919740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:34:57.882970Z digest=sha256:72a710a49c0d0352b5c386326b904d9c8b252ac2d6f355fb6e1601f936f30042

Pith citing papers

No inbound Pith citation observations are available.