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Paper Citation Record · LEDGER

Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums

As of 8 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 1 inbound Pith citation observation for arXiv:2506.07967.

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

pith.paper-citation-record.v1
2506.07967 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:28:19.808647Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-10T10:03:12.944307Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-10T10:04:06.239904Z

Reference resolution

17 of 17 outbound references displayed

  • verified exact9
  • verified fuzzy3
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9f9d38dd-4ee4-44f8-a55a-d95d4a870757 · outbound

This paper cites Machine Learning Approaches to the Shafarevich-Tate Group of Elliptic Curves.

Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums Machine Learning Approaches to the Shafarevich-Tate Group of Elliptic Curves

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-07T05:28:20.058791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:28:19.715966Z digest=sha256:7405169aaddc8adf170d14ad18ce6b09e23888940a0d6bb2fb3217283caef8ff

Observation beb9daef-4c54-4b3a-8f6c-0f7ac5b8fa8b · outbound

This paper cites Learning Euler Factors of Elliptic Curves.

Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums Learning Euler Factors of Elliptic Curves

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-07T05:28:19.721141Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T05:28:19.721141Z digest=sha256:60dbe8981e018991a49e4b34bed0ea0d89b06e6514eaace50505517b2d0a93fd

Observation b31b20b7-fda9-4f1d-9db0-a5607fb6f52e · outbound

This paper cites Machine learning the vanishing order of rational L-functions.

Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums Machine learning the vanishing order of rational L-functions

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-07T05:28:20.037679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:28:19.727682Z digest=sha256:041108ba9513fc61a3ca468a325328f24598ebbb7a45d731e6f4559ab8d2f5e6

Observation c81f07d8-240d-4743-b9ee-fb17bd4294e0 · outbound

This paper cites S., Ho, W., Kaplan, N., Spicer, S., Stein, W., Weigandt, J.

Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums S., Ho, W., Kaplan, N., Spicer, S., Stein, W., Weigandt, J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:28:20.096334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:28:19.734778Z digest=sha256:7b161cb07c26deaf61e1a7dfb8ff08ea11042fabbd437c3eb2c4efdaa1336a0e

Observation 00b279ad-2cc7-4039-b825-54d342b62665 · outbound

This paper cites an unresolved cited work.

Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums Unresolved cited work

Reference 5

Resolution
verified exact
doi, observed 2026-08-07T05:28:19.911140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:28:19.740734Z digest=sha256:3bdec4311bb55d0c673e936e4083d21ce4010d327368e4ae786974048576586c

Observation cb575b11-d6ff-4a5e-bcef-3727ba3f8fef · outbound

This paper cites D., Klagsbrun, Z.

Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums D., Klagsbrun, Z

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:28:20.086468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:28:19.746909Z digest=sha256:1bdf0e1db13877299c8582f29672133c52311006935d3bc3c25ea92085158341

Observation 5b74e851-4d1e-47ab-b405-8558042bf7cd · outbound

This paper cites an unresolved cited work.

Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums Unresolved cited work

Reference 7

Resolution
verified exact
doi, observed 2026-08-07T05:28:19.898056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:28:19.752687Z digest=sha256:ec68adee411e4a7ba78ed227b3fbb5648ff6e5fad3ac5505ad8da3f908c90fcd

Observation 9d8e5cbc-850a-4391-8dbb-03e0149c392f · outbound

This paper cites an unresolved cited work.

Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-07T05:28:19.757588Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T05:28:19.757588Z digest=sha256:659a7291aeb31dcab6d0967549843c166f13add7bbaa7b6a1b0dc9b9288a431e

Observation e26cb061-65f1-4934-8612-5869d6c463bd · outbound

This paper cites an unresolved cited work.

Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums Unresolved cited work

Reference 9

Resolution
verified exact
doi, observed 2026-08-07T05:28:19.884861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:28:19.762421Z digest=sha256:5bd847f4773a94d7fa9cd413d1a4e701a59631074808f2694ec4779d46dcdf29

Observation 81c036cf-757f-45c1-a14f-995750603f40 · outbound

This paper cites an unresolved cited work.

Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums Unresolved cited work

Reference 10

Resolution
verified exact
doi, observed 2026-08-07T05:28:19.871420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:28:19.769360Z digest=sha256:809892f0008fb4df67df82437ca9f739a39934abaead81ffa423f03d6fb91b7c

Observation 26cc6b33-38e0-4e93-badc-9457638861ca · outbound

This paper cites The L-functions and Modular Forms Database.

Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums The L-functions and Modular Forms Database

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:28:20.076810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:28:19.774368Z digest=sha256:9f324a78b11d3571b878a5c539e8588fb5c63bcb45cb5d5c884e049e95433401

Observation f32b9dc7-f7ae-4623-a1ff-53c87bc335b3 · outbound

This paper cites an unresolved cited work.

Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums Unresolved cited work

Reference 12

Resolution
verified exact
doi, observed 2026-08-07T05:28:19.859469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:28:19.778997Z digest=sha256:06089e34c044a792b35bb1c831e6d87d013c5d19c4799fc2e92495b3ee4f0bc4

Observation 0feec78c-fa50-4538-8d40-407bf735ce34 · outbound

This paper cites Decoupled Weight Decay Regularization.

Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums Decoupled Weight Decay Regularization

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-07T05:28:19.784074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T05:28:19.784074Z digest=sha256:63dde729d72a841538642a748e3b4e5bb2e50488a14ca93cfb0535e7407239f1

Observation af01488b-c787-4b66-a78c-76e7b3e5e776 · outbound

This paper cites an unresolved cited work.

Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:28:20.068041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:28:19.788984Z digest=sha256:a19949892f2af25cbe65bd2c76f99d549218b660aa232436814fa6bd857a0e35

Observation b985a7e2-9b10-406e-b860-f55fc2315cc5 · outbound

This paper cites an unresolved cited work.

Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums Unresolved cited work

Reference 15

Resolution
verified exact
doi, observed 2026-08-07T05:28:19.846234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:28:19.795179Z digest=sha256:15669779748ec0aed1ff864e41e08a3ef9c789cb945434a1691e1333b490b62f

Observation 043a2506-0660-4502-8acc-6bd60cae2462 · outbound

This paper cites Super-Convergence: Very Fast Training of Neural Networks Using Large Learning Rates.

Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums Super-Convergence: Very Fast Training of Neural Networks Using Large Learning Rates

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-07T05:28:19.801305Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T05:28:19.801305Z digest=sha256:003d7f8676bf8b44f37b83dc22ae8ef01b8e336783b000fa58cd3659bdfefb4f

Observation 598b63ad-01a1-46f1-835a-e7013fd2e2bb · outbound

This paper cites Two-dimensional Dirac matter in the semiclassical regime.

Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums Two-dimensional Dirac matter in the semiclassical regime

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-07T05:28:19.929247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:28:19.808647Z digest=sha256:a2e569b6d0e12b8bd89695df8dcd16a5afb5a79788c847f21ff09e980c03867c

Pith citing papers

Observation de3be797-596d-4e53-913b-180eb8724554 · inbound

Computer vision and converse theorems cites this paper.

Computer vision and converse theorems Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums

Reference 26

Resolution
verified exact
arxiv_id, observed 2026-05-10T10:04:06.242761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-10T10:03:12.944307Z digest=sha256:d632bf04ddd12dc92751076cf0655d04cc88732606b6f47078a3c8314258eb03