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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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:bb5ad334419457abaee426832360ef2ec43ba7d62d2a8c9028d2a07774f6c979

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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:f6550da84e79858ddb78621514bc936c24fec4b625c44906e2996586ae0d9e1b

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:1d2a9c30a2a7ee672a92f032b81a6f404ba837e9e917e6fa9583e6cb0ef6d66c

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:a5e1dbb82b98c06cce2cbeb0d9efa50a05a49b041df3656527dfb9c5200746dd

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:6856c8b05c7aeeb7027334dfcd6f5cc3bfea26beaede7286340d762623cd6e4e

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:35a5e9b7d7d31c11db80de2ac65f8064188b0dfdaf7fe3daf25560fb00f77526

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:6bcc4f141105dfd65ed13091d50d109f99d9f96e19108137b34f4191367dee99

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 2026-08-19T06:32:44.657259+00:00.

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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
raw_fallback, observed 2026-07-07T01:03:06.464654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:cf6fe31db337228fe823b783e998f1ff0d3a04210b09dfe6d7b66ca6b11b299c

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:2edb2d799ef62fc6d00e4c95a34b56040d94a2ab1e189f4227ba8668f10b32d9

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:9dc4e24ac3140c88f7cad6a4fe35aecf903ea21a1ae05ed3d86024c5b90fa73b

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:e7bef620bfd7f41852a9fa84bc765303cd2f3f98892bc844e8ec2a187f0f198e

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:ad0e477e0a07fa3a6f8d95a1d07b0c2bfcaf1180d09a974563a51ccfb0fdaa2c

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:8249505061ef24968c73631a5271c1ffe75199db9a4c3f6e0f8e2c952077671c

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:b0c2b67b31a64c3d2151d98cec0935dde0b18f7d4cab8c206f81171a4a012078

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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:7543f2740db4a4caa0c2c96660849975cc672ed3f58390b8abdb8e88b7a0a340

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:24bfaf206f312e722249402df303baeb3c10eaded97594fb2248f55944a59550

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:31d1aae51d0a7eb93b49c802ca965e3239e5b7bb9012f865a5f0c94237850922

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:f8404fca0f8c5a2e6c292ee42b2a0b6e67a2b9bcc7deee2a74b5f289b1bd611d

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:7eab72fe28b1b6bfd7658f9bac25d99ad794c4bd29dd53d0ac95b49d5b1d2227

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:642a3d200997360daa6c31dac3bfb5ccccbee5785998fa8bd8368aa0e3353432

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:e0fd775cd13c4b8e38065fc2a22bffb3bea07a4dbf17b1b4ed460ba73b4d9b1e

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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:8e00fc2c8acebf108904cab9df3192dac134d006e295ad6d0626b35bdda3bd17

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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:da246b5fcdf48f510f51b9071d52522fb67fedd6370858ab9299c21a3417f03e

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:458f2ef4d13ec3bc807d6561536e4cdd29e10179401fcfd8c371f4a1ed9b7e5c

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:af5bd6429baa91fc70068c3a75e73e1cddea4af139c726c8a5010c89a2df4236

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:57aae204ad13ec84bd30103b9472473e74aa1f78459116ce13634b8ff6ea3f6a

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:83cd1d7310026cf302a1e37cc400d513ba5d0541d643f35ca70a66f4d60b5c5d

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:db38cdc7c49da2c832070295337eec26ae61bd3dd9702562a2c8432ef3a42077

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:aa40c78ebef18981a585b6d4147c5ac1d8f07875a7787947bc06780eb604827d

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:c988ecaa80a7a2f915f5bd8022c07fd53249bd48b0afcf47bcd0bf0d9cc1d0cd

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:4e1b5b87735cb836151451c1263269c149b482599bc7c7cfc9fa38cdf294a005

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:005e299d3af4ca56dff27be8dc092f694088e0e22cc79cb67988798e8f84b59d

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:e6a8512e9ca587ca3dd1e707a88251f574e2271784f192e0393cda9b59db939a

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:82106e0442730e2449606e9dafb9f96f309d0f6d8190b8204ce8d7131e8c594f

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:9c14dc14a01009d93ee1c5e467872cd28c30d68de85232bb7155fa18d40b3b2b

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:ad9c7ba4108b8dd5a98d18c128b4818097a7540cd9dc6bb2529196f220fdce6f

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:2fa19c48abd82b1945d920dd71bb23e43a3cc0cd5ded3214d0551fe6fe0ecbdf

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:e308baf359d450cf32bb66887bb7186ba9020718013cf822847683c137f54bd6

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:2802dec041d7c92b17d01f75ac224658a61aabb1d873d81b1a894fc2ad82ce99

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:e8a50c189d4fa90fd03963ba668c3539c4ee3db60b3e32597e330a5c27de1f4a

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:cb6c077bca4aa5377c8cbac42165d920aa2fddcba4566d552abf0e590f7620af

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:955bd536d9f2fd20dcad631d6d323b31ef5b30baffd0138add0dcb065f243905

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:727c56e24d818388b29a923831bf3efc2754228a1494ba6c741c3a568a2de6bc

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:ae2e0a55c46362a0c9dd5449b87019acf52445bf75fb9a5da83f462d24ee984c

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:dd23619c1f8a1abb968c0c8ef0a27fbac832f8492dcab471fe05e4e0b07bc9ae

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:31436e58187ffdb16322cd503966527e3f861cb17cffe8ebc83daf35f6fcf633

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:c9046b7754baffaf6685113af019343752b4ff3243c1242c0fbc9138311f9138

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:05c8fb14abb7ec56f3a10c9fb6e23920b1c3aeac2d8cb253d53da9b795058153

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:9800a7e24076346c37cf10280bb8c27059daf67a50db070c5dede05405d9b54a

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:c94c72378df28d32a7fdf2423b70612be33c73d3476a6259c9caafe31de7213e

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:c34c41c63185f66345ce85892ea2564a63676a66fb251fc7842ef7e2b89b3b95

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:7d645ddb2af33bf073cf6610a42f162537356f84c1cd8ee72df740ea53405897

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:b1dba7de0a09c4ff9940b5ce5d4a22b7c62b819c56e370ca0761ce6eca0402dc

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:45cafbec584e39c33d6e924344bfcb1aa1f1406f5e95ddb1714cf8aacf4d9657

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:f467e9292987c2b6c4a7f777c5ed5e413d6318956bb0140b4db6ba7f9cefb9fe

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:d63564a57da7000b3971f495ad073a3f3e3a804e62d9c69a636e4d8e37577235

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:729f840d9ab0df54706ad3b72c48dd32f7130ceabc010687e7ee9dbd929e8e86

Pith citing papers

No inbound Pith citation observations are available.