Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T14:24:26.674923Z
Paper Citation Record · LEDGER
Mazur's growth number conjecture and congruences
As of 13 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2505.19542.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
25 of 25 outbound references displayed
- verified exact3
- verified fuzzy14
- unresolved8
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 45a1576a-bdc3-4155-8eee-21c49cbe18b0 · outbound
This paper cites Rank stability in quadratic extensions and Hilbert's tenth problem for the ring of integers of a number field.
Mazur's growth number conjecture and congruences Rank stability in quadratic extensions and Hilbert's tenth problem for the ring of integers of a number field
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T14:24:24.489658Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7d8d678a-5e87-4fbe-8b52-87f6fe7cae38 · outbound
This paper cites Balakrishnan, Mirela C iperiani, and William Stein.
Mazur's growth number conjecture and congruences Balakrishnan, Mirela C iperiani, and William Stein
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T14:24:29.836220Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation e67d1c2a-a065-4753-a1ad-a27000acde70 · outbound
This paper cites Base change and I wasawa main conjectures for GL_2.
Mazur's growth number conjecture and congruences Base change and I wasawa main conjectures for GL_2
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T14:24:29.732533Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 8ed618b6-8b0b-4e8a-8f25-da3d85c24953 · outbound
This paper cites p -adic heights of H eegner points and B eilinson- F lach classes.
Mazur's growth number conjecture and congruences p -adic heights of H eegner points and B eilinson- F lach classes
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T14:24:29.550902Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation f602e058-77bf-4ffc-bb9e-ec0880edf62f · outbound
This paper cites The p -adic G ross- Z agier formula on S himura curves.
Mazur's growth number conjecture and congruences The p -adic G ross- Z agier formula on S himura curves
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T14:24:29.447377Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 91a3e1db-72f5-4e31-80b0-5fadc5f0fa92 · outbound
This paper cites On the p -adic B irch and S winnerton- D yer conjecture for elliptic curves over number fields.
Mazur's growth number conjecture and congruences On the p -adic B irch and S winnerton- D yer conjecture for elliptic curves over number fields
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T14:24:29.314172Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation dea59746-2304-4c13-81ad-d5b7b743955d · outbound
This paper cites Non-optimal levels of mod l modular representations.
Mazur's growth number conjecture and congruences Non-optimal levels of mod l modular representations
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T14:24:29.111491Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 99ab78ad-b6c4-43a8-a82b-b8dae2779c40 · outbound
This paper cites Variation of I wasawa invariants in H ida families.
Mazur's growth number conjecture and congruences Variation of I wasawa invariants in H ida families
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T14:24:28.889211Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 4532dc5b-6b66-4964-93ee-cff197989534 · outbound
This paper cites On a conjecture of M azur predicting the growth of M ordell-- W eil ranks in Z _p -extensions.
Mazur's growth number conjecture and congruences On a conjecture of M azur predicting the growth of M ordell-- W eil ranks in Z _p -extensions
Reference 9
- Resolution
- verified exact
- raw_fallback, observed 2026-08-07T14:24:27.313785Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 45155e51-b8f5-44df-81f2-15ec4757a770 · outbound
This paper cites Introduction to I wasawa theory for elliptic curves.
Mazur's growth number conjecture and congruences Introduction to I wasawa theory for elliptic curves
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T14:24:25.420587Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation be70c867-6e70-458c-86ec-f8c13c012d2c · outbound
This paper cites On the I wasawa invariants of elliptic curves.
Mazur's growth number conjecture and congruences On the I wasawa invariants of elliptic curves
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T14:24:25.514728Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 100052a8-ac7c-4efb-945a-def31964dffb · outbound
This paper cites A p -adic measure attached to the zeta functions associated with two elliptic modular forms.
Mazur's growth number conjecture and congruences A p -adic measure attached to the zeta functions associated with two elliptic modular forms
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T14:24:28.779202Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 32f6e7bf-5563-4834-b7c6-d6c2292df45f · outbound
This paper cites The I wasawa theoretic G ross- Z agier theorem.
Mazur's growth number conjecture and congruences The I wasawa theoretic G ross- Z agier theorem
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T14:24:28.696061Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation df1903a2-2f1b-4c05-aeda-5e6b16ed16d9 · outbound
This paper cites p -adic H odge theory and values of zeta functions of modular forms.
Mazur's growth number conjecture and congruences p -adic H odge theory and values of zeta functions of modular forms
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T14:24:28.503617Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation aa1dedfe-6933-4360-8f11-577aa43e79ad · outbound
This paper cites Mazur's Growth Number Conjecture in the Rank One Case.
Mazur's growth number conjecture and congruences Mazur's Growth Number Conjecture in the Rank One Case
Reference 15
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T14:24:27.173177Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 120fd011-9888-4fd9-a0e8-e4e155dee44e · outbound
This paper cites Hilbert's tenth problem via additive combinatorics.
Mazur's growth number conjecture and congruences Hilbert's tenth problem via additive combinatorics
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T14:24:25.943923Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation df9b7678-6fdb-4b89-a5f3-ad336b26a9e3 · outbound
This paper cites an unresolved cited work.
Mazur's growth number conjecture and congruences Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T14:24:28.348099Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 2e098948-eb29-4c00-9a5d-01f8d7f8db8a · outbound
This paper cites Rational points of abelian varieties with values in towers of number fields.
Mazur's growth number conjecture and congruences Rational points of abelian varieties with values in towers of number fields
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T14:24:26.072652Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8c0fb376-ce70-43cd-8cc8-a873a339217b · outbound
This paper cites Hilbert's tenth problem for families of $ \mathbb{Z}_p $-extensions of imaginary quadratic fields.
Mazur's growth number conjecture and congruences Hilbert's tenth problem for families of $ \mathbb{Z}_p $-extensions of imaginary quadratic fields
Reference 19
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T14:24:26.872966Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 05cf4589-5b90-4639-94ad-10fe1a57eb11 · outbound
This paper cites Cohomology of number fields , volume 323 of Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences].
Mazur's growth number conjecture and congruences Cohomology of number fields , volume 323 of Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T14:24:26.234518Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 13fc0186-b90b-4f19-b002-1f41dde3aef7 · outbound
This paper cites Infinite descent and \(p\) -adic heights over elliptic curves with complex multiplication.
Mazur's growth number conjecture and congruences Infinite descent and \(p\) -adic heights over elliptic curves with complex multiplication
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T14:24:28.149573Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation fd911e2c-8d59-4cc0-856c-4142ff7e3cff · outbound
This paper cites Points de H eegner et d\' e riv\' e es de fonctions L p -adiques.
Mazur's growth number conjecture and congruences Points de H eegner et d\' e riv\' e es de fonctions L p -adiques
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T14:24:26.424054Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7730c840-653d-414c-aaad-5eac49586ef8 · outbound
This paper cites Fonctions L p -adiques associ\' e es \`a une forme modulaire et \`a un corps quadratique imaginaire.
Mazur's growth number conjecture and congruences Fonctions L p -adiques associ\' e es \`a une forme modulaire et \`a un corps quadratique imaginaire
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T14:24:27.903140Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation b1eaff4d-2497-4e75-a626-59a185a4c071 · outbound
This paper cites Rohrlich.
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T14:24:27.697899Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 0d254ccb-12f4-4c06-ab58-4c22a2b38bca · outbound
This paper cites \(p\) -adic height pairings.
Mazur's growth number conjecture and congruences \(p\) -adic height pairings
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T14:24:27.523537Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Pith citing papers
No inbound Pith citation observations are available.