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Paper Citation Record · LEDGER

Tamagawa ratios and unbounded Selmer moments

As of 20 August 2026, this Paper Citation Record lists 63 of 63 outbound references and 0 inbound Pith citation observations for arXiv:2606.31649.

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

pith.paper-citation-record.v1
2606.31649 v1

Coverage vector

measured 63 of 63 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-01T03:55:48.921447Z

measured 63 of 63 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

63 of 63 outbound references displayed

  • verified exact11
  • verified fuzzy31
  • unresolved21
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fbb595a3-5c7a-42d4-aec7-930d56251f5c · outbound

This paper cites Integers expressible as the sum of two rational cubes.

Tamagawa ratios and unbounded Selmer moments Integers expressible as the sum of two rational cubes

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-07-01T11:45:47.025171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 195d3bb9-f846-4c6b-9db2-63bed2682b45 · outbound

This paper cites Bhargava, N.

Tamagawa ratios and unbounded Selmer moments Bhargava, N

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T01:03:06.523640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation c4a1831a-7441-4840-9b68-a74a693eb00f · outbound

This paper cites On average sizes of Selmer groups and ranks in families of elliptic curves having marked points.

Tamagawa ratios and unbounded Selmer moments On average sizes of Selmer groups and ranks in families of elliptic curves having marked points

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-07-01T11:45:47.022284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation d77e1727-4827-42b8-a98d-b5781d2be629 · outbound

This paper cites Bhargava, D.M.

Tamagawa ratios and unbounded Selmer moments Bhargava, D.M

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T01:03:06.527809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 56cb0e18-78ea-4d74-9605-0f5d8dee4e07 · outbound

This paper cites Bhargava, Z.

Tamagawa ratios and unbounded Selmer moments Bhargava, Z

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T01:03:06.526077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation f2328128-43dc-430e-a63b-7bc716a11712 · outbound

This paper cites Bhargava and A.

Tamagawa ratios and unbounded Selmer moments Bhargava and A

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T01:03:06.528877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 3c8b8674-6bc6-42b5-81bd-f6b22ae450c0 · outbound

This paper cites Bhargava and A.

Tamagawa ratios and unbounded Selmer moments Bhargava and A

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T01:03:06.512766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation e867ea79-4152-4983-927d-5b166b82eb8a · outbound

This paper cites The average number of elements in the 4-Selmer groups of elliptic curves is 7.

Tamagawa ratios and unbounded Selmer moments The average number of elements in the 4-Selmer groups of elliptic curves is 7

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-07-01T11:45:47.011693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation d781e157-148a-4711-a4ed-67d20b474b60 · outbound

This paper cites The average size of the 5-Selmer group of elliptic curves is 6, and the average rank is less than 1.

Tamagawa ratios and unbounded Selmer moments The average size of the 5-Selmer group of elliptic curves is 6, and the average rank is less than 1

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-07-01T11:45:47.019835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:53f74c49a53b490c60651931924e8fa816486db97b2f79ec05e73b54802fa24f

Observation b26d25ee-03fe-460c-a8f6-0b706206b5c6 · outbound

This paper cites Geometry-of-numbers methods over global fields II: Coregular representations.

Tamagawa ratios and unbounded Selmer moments Geometry-of-numbers methods over global fields II: Coregular representations

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-07-01T11:45:47.028648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:ca78924346b3076ef8f32af2eae2c411ee779a64e8fa2efb47c49d9fac9ebc76

Observation a8a27944-e38f-40af-8859-4da99c2bd625 · outbound

This paper cites Bhargava, T.

Tamagawa ratios and unbounded Selmer moments Bhargava, T

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation d16e307c-b527-43d9-ab62-3fbcce9f3c54 · outbound

This paper cites an unresolved cited work.

Tamagawa ratios and unbounded Selmer moments Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-07-07T01:03:06.492897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 307f4842-2ecc-44ba-82b5-533f092ca492 · outbound

This paper cites an unresolved cited work.

Tamagawa ratios and unbounded Selmer moments Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-07-07T01:03:06.471714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 8489c733-9f8d-45d6-9075-1ad8022972a9 · outbound

This paper cites an unresolved cited work.

Tamagawa ratios and unbounded Selmer moments Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-07-07T01:03:06.478156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation d5f99905-bdd7-46b3-863d-9ae53ca2514c · outbound

This paper cites an unresolved cited work.

Tamagawa ratios and unbounded Selmer moments Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-07-07T01:03:06.490665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:335257a48f4c28e584f68d1ec5ce2510da8a2b838354215d8097bf223d67edd6

Observation bae83e1b-b3d8-4bdf-9fb2-929c05fc4bb8 · outbound

This paper cites Selmer groups of families of elliptic curves with an $\ell$-isogeny.

Tamagawa ratios and unbounded Selmer moments Selmer groups of families of elliptic curves with an $\ell$-isogeny

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-07-01T11:45:47.031693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 1dd9e510-d14f-4604-ba1c-6d1f15750cb6 · outbound

This paper cites Chatzidakis, L.

Tamagawa ratios and unbounded Selmer moments Chatzidakis, L

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T01:03:06.495177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:9c48331f9ab2ab1b81181675a22f8dbbefd4576c4a7bb5336293444e2c6e274e

Observation a718f5c5-55a7-47aa-a01d-2e52d1efce83 · outbound

This paper cites an unresolved cited work.

Tamagawa ratios and unbounded Selmer moments Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-07-07T01:03:06.382070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 6815f8d6-47a1-4026-ae5f-993bfaa7236f · outbound

This paper cites Denef.p-adic semi-algebraic sets and cell decomposition.J.

Tamagawa ratios and unbounded Selmer moments Denef.p-adic semi-algebraic sets and cell decomposition.J

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T01:03:06.419741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation b72c948e-b237-462f-ba43-6c1576e899a8 · outbound

This paper cites Denef and F.

Tamagawa ratios and unbounded Selmer moments Denef and F

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T01:03:06.507559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 42820a70-317c-4ec0-97e3-eae2121e9bda · outbound

This paper cites Dokchitser and V.

Tamagawa ratios and unbounded Selmer moments Dokchitser and V

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T01:03:06.511621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 9c0d6471-0b0d-4bc7-96d3-00957d902d39 · outbound

This paper cites El-Baz, D.

Tamagawa ratios and unbounded Selmer moments El-Baz, D

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T01:03:06.506214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 8547e388-4f7d-48f8-ae61-167708565905 · outbound

This paper cites an unresolved cited work.

Tamagawa ratios and unbounded Selmer moments Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-07-07T01:03:06.411310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation f1ff62dc-af2f-4548-915f-f4ef8a0fcd8a · outbound

This paper cites Faltings.

Tamagawa ratios and unbounded Selmer moments Faltings

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T01:03:06.425710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 8e7f188f-941a-41c6-99b1-6b8cd86da93b · outbound

This paper cites Feng and M.

Tamagawa ratios and unbounded Selmer moments Feng and M

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T01:03:06.441773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 03c35126-aaad-4f01-b5dc-886cee0943d4 · outbound

This paper cites Friedlander and H.

Tamagawa ratios and unbounded Selmer moments Friedlander and H

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T01:03:06.517164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation cdcf943a-53d2-4083-9f83-21a6c4ee7e8a · outbound

This paper cites Greenberg.

Tamagawa ratios and unbounded Selmer moments Greenberg

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T01:03:06.468789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 09833047-bcdc-421f-b9e1-a6643b789761 · outbound

This paper cites an unresolved cited work.

Tamagawa ratios and unbounded Selmer moments Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-07-07T01:03:06.484218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 124ac87c-6b2f-426b-92b5-78a2e18dd33d · outbound

This paper cites Heath-Brown.

Tamagawa ratios and unbounded Selmer moments Heath-Brown

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T01:03:06.515107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:904f57066cb0ed48e65b1931ce835d88530fdb9b844d973f37b659ece4ac83b6

Observation b1ca5873-5dc9-498f-8186-bddb2355acd2 · outbound

This paper cites an unresolved cited work.

Tamagawa ratios and unbounded Selmer moments Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-07-07T01:03:06.514932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation a637027c-132c-4deb-aa42-9e815f0391d8 · outbound

This paper cites an unresolved cited work.

Tamagawa ratios and unbounded Selmer moments Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-07-07T01:03:06.518589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 196f0942-abe2-4587-a505-7bcf05d6bef2 · outbound

This paper cites Katz and B.

Tamagawa ratios and unbounded Selmer moments Katz and B

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T01:03:06.516851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:88422aa7dffa2dd25385fbee300d9e882b5e92edbd0ce26351b50b891a48f6c7

Observation 5d74eff0-0889-436c-a47c-e38eb8a7c31c · outbound

This paper cites an unresolved cited work.

Tamagawa ratios and unbounded Selmer moments Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-07-07T01:03:06.480287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:9065e8c30741dae665b8d993ece031778f62009867c12e569685df9d89d7e56f

Observation 998aa05d-4f12-4a55-801d-a919af8961e1 · outbound

This paper cites Klagsbrun.

Tamagawa ratios and unbounded Selmer moments Klagsbrun

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T01:03:06.518838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:151565aef895c6cbb91f038c45d6cc7e8b6212b578ba57cca6cdf42c5190f189

Observation 79fe6e6b-6805-4543-9c96-85ccb9fd36ef · outbound

This paper cites Klagsbrun and R.J.

Tamagawa ratios and unbounded Selmer moments Klagsbrun and R.J

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T01:03:06.486592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:e5c620ce49f59ffaa170c7924282f54f2bef94c05a934f2077ce870716ef82ab

Observation 44798913-6879-4903-a867-c7be73fdd694 · outbound

This paper cites Klagsbrun and R.J.

Tamagawa ratios and unbounded Selmer moments Klagsbrun and R.J

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T01:03:06.508526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:26aa67456b2681531746ac637a6bf9227ad8a699819d30279c6e184989ff0cbc

Observation 45c03cc9-4c65-47cd-b360-ee0356c9b473 · outbound

This paper cites Elliptic fibrations and $3 \cdot 2^k$.

Tamagawa ratios and unbounded Selmer moments Elliptic fibrations and $3 \cdot 2^k$

Reference 38

Resolution
verified exact
arxiv_id, observed 2026-07-01T11:45:47.014233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:77eb0be6bf0de748c6f218fa6f7a1f3299d22aed7b4ef19c67488dbdcfaea109

Observation 434e5482-42fd-4d0d-a358-ff0d690334fe · outbound

This paper cites The second moment of the size of the $2$-Selmer group of elliptic curves.

Tamagawa ratios and unbounded Selmer moments The second moment of the size of the $2$-Selmer group of elliptic curves

Reference 39

Resolution
verified exact
arxiv_id, observed 2026-07-01T11:45:47.006704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:7291fd226ba6331f2a2afbc1f5fcdc043fdb4f59f5fde2480cabc3e8f0427d45

Observation 41d72ccb-aa41-4046-9b5d-9ac7ff0cab24 · outbound

This paper cites Lagarias and A.M.

Tamagawa ratios and unbounded Selmer moments Lagarias and A.M

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T01:03:06.463842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:4c2f0e02e8c7f5453fc645b5113e33222b8007a3a7a376ea0d2f873c91cba5a6

Observation 0ce23156-2e7e-43f1-b729-86266f26f59a · outbound

This paper cites Lang and A.

Tamagawa ratios and unbounded Selmer moments Lang and A

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T01:03:06.513301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:20db301f449cba39ada2ae7936720696ce8594f71d44bd66e387500f56cfa89d

Observation 3904bc67-7264-4e3f-8aeb-e0607c2e23a6 · outbound

This paper cites arXiv preprint arXiv:2103.08530 , year=.

Tamagawa ratios and unbounded Selmer moments arXiv preprint arXiv:2103.08530 , year=

Reference 42

Resolution
verified exact
arxiv_id, observed 2026-07-01T11:45:47.009323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:80e3274dfe73e6aead214efcd2fac2e164c3c0723f18af7d2ba81369b56b57f1

Observation a6e13fb2-7d91-4b75-8154-a6911605f640 · outbound

This paper cites Morgan and A.

Tamagawa ratios and unbounded Selmer moments Morgan and A

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T01:03:06.414930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:0810026b8fd928fb0df50d9dde896feae8c5d044072b1f4192c9bfd2d847e33f

Observation b0e125ce-2053-4a29-88b3-2023b5070940 · outbound

This paper cites Nair and G.

Tamagawa ratios and unbounded Selmer moments Nair and G

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T01:03:06.520874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:43ea7a27fbccfac11dceaee60a74f91da5a96793e6309ba112a2e82396e3b6a9

Observation 7cfd392d-a098-4987-8e14-7b4a654ac68b · outbound

This paper cites Nair and G.

Tamagawa ratios and unbounded Selmer moments Nair and G

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T01:03:06.470900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:5cb645eb90b8623ba20a731a0a33eccf54c0d08bc927da0c0e705b438aa919bd

Observation 50cc4bcd-a006-47c5-94e4-d054d17ed284 · outbound

This paper cites Neukirch, A.

Tamagawa ratios and unbounded Selmer moments Neukirch, A

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T01:03:06.475064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:0bf9bdad5d25d4bc5a6b76821f7c75af7bad4f25190f0274ec84388cb4fd9088

Observation adcee2f8-95fc-4efe-a2d6-b5ac7a15d8be · outbound

This paper cites an unresolved cited work.

Tamagawa ratios and unbounded Selmer moments Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-07-07T01:03:06.481225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:d4dc8f613686886bf0efd66d0873f4ba06079b56a1a1196add598ad61f3bd633

Observation 964cd3a6-c9a1-49c6-82c4-0e47ec335f92 · outbound

This paper cites Phillips.

Tamagawa ratios and unbounded Selmer moments Phillips

Reference 48

Resolution
verified exact
arxiv_id, observed 2026-07-01T11:45:47.004032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:644ed7a0425fb6f34f4f1fe87018c29c62655eea610c9d82774deae375d5f032

Observation 2eb9d037-4d63-477c-9723-168a0c5b5411 · outbound

This paper cites an unresolved cited work.

Tamagawa ratios and unbounded Selmer moments Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-07-07T01:03:06.427479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:16e3d954d1b12011ae4fbeb85e286b4b3019486de14a5de8eccc2d2ebe558823

Observation 064a40b9-0f8b-4558-8b8b-fa3333f74ad0 · outbound

This paper cites Poonen and E.

Tamagawa ratios and unbounded Selmer moments Poonen and E

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T01:03:06.487871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:783c44106cf7d8cd381f15d4d932e6665dd5f366cfd5aa1e3610ad086f2fff70

Observation 6389e1eb-36b6-44f8-9730-dbe2a433d2ed · outbound

This paper cites an unresolved cited work.

Tamagawa ratios and unbounded Selmer moments Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-07-07T01:03:06.437273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:c7075905d0c4384916dbf0e9fce1cc0716fff8c6dfdf07e45d6cff0267428c1c

Observation 8b1097b4-b08b-4a54-9378-ebdcf5890335 · outbound

This paper cites an unresolved cited work.

Tamagawa ratios and unbounded Selmer moments Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-07-07T01:03:06.509475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:f56a348e358468fb86b21ba19fac623124f0ab2e02538521d37c584803816ef2

Observation fccb0b31-c649-43a4-8e85-861615069537 · outbound

This paper cites an unresolved cited work.

Tamagawa ratios and unbounded Selmer moments Unresolved cited work

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-07-07T01:03:06.496432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:d7be897d8ed0974cf04d4a6811a3db9ddf6fa86bb9583008ec6c3496ce951cde

Observation 9fd94e39-a4f7-45da-b6a9-cb34193e75c3 · outbound

This paper cites an unresolved cited work.

Tamagawa ratios and unbounded Selmer moments Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-07-07T01:03:06.472999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:61ce7ef00492bef2fcaea111426f8d6d5214518c2efb7a7c123cfd510ff33287

Observation e5dfae57-920c-430c-9262-792af3c7f9fe · outbound

This paper cites The Birch and Swinnerton-Dyer conjecture implies Goldfeld's conjecture.

Tamagawa ratios and unbounded Selmer moments The Birch and Swinnerton-Dyer conjecture implies Goldfeld's conjecture

Reference 55

Resolution
verified exact
arxiv_id, observed 2026-07-01T11:45:47.017019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:eddc3317651c95f08f14c38af29ca28f4b0758520b38f7f4bb2f5bf13df55110

Observation 0f2f53d2-2515-4acc-86b2-e12aa96c76e7 · outbound

This paper cites Swinnerton-Dyer.

Tamagawa ratios and unbounded Selmer moments Swinnerton-Dyer

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T01:03:06.469296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:a25b3e1737cb6724a27fa567f433263f83a0a7aa5ed1e73c5fe58d7fc30e2a61

Observation af167193-c6f5-4b8c-9a6c-fd392736780a · outbound

This paper cites Thorner and A.

Tamagawa ratios and unbounded Selmer moments Thorner and A

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T01:03:06.502904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:f8ec946de2a5c7d3107b9ddebefa131530b09af9ff8fb794fc3803bcfec32a8a

Observation 7e752cc4-a72a-47be-ba20-aff454be34f2 · outbound

This paper cites an unresolved cited work.

Tamagawa ratios and unbounded Selmer moments Unresolved cited work

Reference 58

Resolution
unresolved
raw_fallback, observed 2026-07-07T01:03:06.434031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:c00ba3bb2e979186fc8fc68ee6529c1bdd374052a58519c1f4cf738f0c538f89

Observation afad3563-b9cb-4161-93de-969057464e12 · outbound

This paper cites an unresolved cited work.

Tamagawa ratios and unbounded Selmer moments Unresolved cited work

Reference 59

Resolution
unresolved
raw_fallback, observed 2026-07-07T01:03:06.499173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:ab0cedcf64f12a37cf2a3281b54831e73877239fca8ed2fd8965268db8043926

Observation 22cbe65c-a9f8-445b-999f-df66d8320d73 · outbound

This paper cites an unresolved cited work.

Tamagawa ratios and unbounded Selmer moments Unresolved cited work

Reference 60

Resolution
unresolved
raw_fallback, observed 2026-07-07T01:03:06.497043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:e1a580908982ff54ec98a8a5da0a08c21b339d47a958ac9ccbee131489da8767

Observation d222953d-329b-4530-a086-c3801961a597 · outbound

This paper cites Xiong and A.

Tamagawa ratios and unbounded Selmer moments Xiong and A

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T01:03:06.501242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:53197320b73c142d4cf07be6af92fdc97f30be70815df42e3914da4696248439

Observation 2fb53638-b65d-4a82-b688-08d4315f3a50 · outbound

This paper cites Xiong and A.

Tamagawa ratios and unbounded Selmer moments Xiong and A

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T01:03:06.460216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:2867c2e6138621dbbcc6c62748b6e92592da4bb5dd0e0d6f20c0ec734d817a20

Observation b523595f-54db-4ab1-93a3-97d00f3a0f49 · outbound

This paper cites an unresolved cited work.

Tamagawa ratios and unbounded Selmer moments Unresolved cited work

Reference 63

Resolution
unresolved
raw_fallback, observed 2026-07-07T01:03:06.503911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:875d613eee483dcb7d76b81dc5a1fa591e09d56ea8cb4cb549ef62d8c4400cb4

Observation 783be6ae-d927-4a38-bc0e-e6f504b7e851 · outbound

This paper cites an unresolved cited work.

Tamagawa ratios and unbounded Selmer moments Unresolved cited work

Reference 64

Resolution
unresolved
raw_fallback, observed 2026-07-07T01:03:06.485752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:2f5b2716c0a623a751aea55f11ed91b329b1f99567a8a26dce54f15ff5d8d559

Pith citing papers

No inbound Pith citation observations are available.