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Paper Citation Record · LEDGER

Bernoulli determinants and cuspidal subgroups

As of 23 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2607.13536.

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

pith.paper-citation-record.v1
2607.13536 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T05:09:50.621512Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

39 of 39 outbound references displayed

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External citation measurements

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Outbound references

Observation 866390ff-1d45-454b-a0f9-0facec035ea2 · outbound

This paper cites Arakawa , T.

Bernoulli determinants and cuspidal subgroups Arakawa , T

Reference 1

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source=arxiv_source observed=2026-08-02T05:09:47.686887Z digest=sha256:5e0ffabea89a3871d57eed3ea38f0a279d9f6e468c42c753c88777eac4523f49

Observation 65deef00-3561-44cd-a731-a8677e094185 · outbound

This paper cites an unresolved cited work.

Bernoulli determinants and cuspidal subgroups Unresolved cited work

Reference 2

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source=arxiv_source observed=2026-08-02T05:09:47.773571Z digest=sha256:553b261be06ea64d19abd7e186aa0431519d7eb6df993202f87110345f504293

Observation d2f3def0-11ef-44eb-902a-b4252af202e7 · outbound

This paper cites Bertolini , H.

Bernoulli determinants and cuspidal subgroups Bertolini , H

Reference 3

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source=arxiv_source observed=2026-08-02T05:09:47.889353Z digest=sha256:1aacd98333944daf0d0db9a739a76bf755c3578ae497dff48f3cd2fb388cf3e6

Observation f025b6d8-2af1-46e5-b91e-230efd01338c · outbound

This paper cites Bloch , Algebraic cycles and higher K -theory, Adv.

Bernoulli determinants and cuspidal subgroups Bloch , Algebraic cycles and higher K -theory, Adv

Reference 4

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source=arxiv_source observed=2026-08-02T05:09:47.981753Z digest=sha256:3033a5b362e545733b5b21a014648194e503c03d22f47c64cd1a15993acefe46

Observation 892e04a4-7985-4e16-8673-eb3b49d96abc · outbound

This paper cites Bloch , The moving lemma for higher Chow groups, J.

Bernoulli determinants and cuspidal subgroups Bloch , The moving lemma for higher Chow groups, J

Reference 5

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source=arxiv_source observed=2026-08-02T05:09:48.070800Z digest=sha256:f0f60ba2ad1194c7271afdc173fd3fe74e28dd788ad3253fec5b375b2446fadc

Observation 820ab7f1-daa8-4bd9-8294-c88b7d07b193 · outbound

This paper cites On the $K_4$ group of modular curves.

Bernoulli determinants and cuspidal subgroups On the $K_4$ group of modular curves

Reference 6

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source=arxiv_source observed=2026-08-02T05:09:48.188371Z digest=sha256:51fe96060b33f9f39617579a2cd1fa876dccc6e6a0804aaf7420b251c6c7568d

Observation dc4430c1-d0f9-4390-8556-1686b2a89eae · outbound

This paper cites $K_2$ of families of elliptic curves over non-Abelian cubic and quartic fields.

Bernoulli determinants and cuspidal subgroups $K_2$ of families of elliptic curves over non-Abelian cubic and quartic fields

Reference 7

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source=arxiv_source observed=2026-08-02T05:09:48.279431Z digest=sha256:ae13f1da91b2de4ee1f1c3655b14948fee4d53981e10b768b7aeecf987eecd86

Observation 20c175fe-d043-42a3-8df6-c7453744b92f · outbound

This paper cites Cartier , An introduction to zeta functions, in From number theory to physics (Les Houches, 1989), 1--63, Springer-Verlag, Berlin, 1992.

Bernoulli determinants and cuspidal subgroups Cartier , An introduction to zeta functions, in From number theory to physics (Les Houches, 1989), 1--63, Springer-Verlag, Berlin, 1992

Reference 8

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source=arxiv_source observed=2026-08-02T05:09:48.366724Z digest=sha256:5f433607258b69d2c0e404c438eca2f2a548e66cc13a4e8cd6e20d81d6fda69f

Observation 258b28ca-e544-472a-84ff-08c00ca6d07b · outbound

This paper cites Cohen and F.

Bernoulli determinants and cuspidal subgroups Cohen and F

Reference 9

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source=arxiv_source observed=2026-08-02T05:09:48.481233Z digest=sha256:02e0a0ceaca3f265bda4898ebc145b0afb03c7d081de4abc06d89e0ea2fc2ad1

Observation df8ea664-e8d7-4aab-a116-eb184e83aa1d · outbound

This paper cites Conrad , The origin of representation theory, Enseign.

Bernoulli determinants and cuspidal subgroups Conrad , The origin of representation theory, Enseign

Reference 10

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source=arxiv_source observed=2026-08-02T05:09:48.573609Z digest=sha256:41a3f848cb3614ae85558b7b8f5d5682f4de0468a70d2632cec6e1a85750290a

Observation a0f6c4b6-1b74-49a2-912a-fb7f7e79f144 · outbound

This paper cites Conrad , B.

Bernoulli determinants and cuspidal subgroups Conrad , B

Reference 11

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source=arxiv_source observed=2026-08-02T05:09:48.667343Z digest=sha256:ae646425a247a182ddfa1fe174ea7dd86679e47d282c3044a81fbbf9b1ebb6c6

Observation 2c120f37-6c6e-45e9-b837-fb4832765c07 · outbound

This paper cites Deligne , Formes modulaires et représentations -adiques, in Sémin.

Bernoulli determinants and cuspidal subgroups Deligne , Formes modulaires et représentations -adiques, in Sémin

Reference 12

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source=arxiv_source observed=2026-08-02T05:09:48.781639Z digest=sha256:591815e39001219a22e4bcea9901662c6e17fe2ff0407418e03cdb7386b737ee

Observation c2f8b7e8-114e-4c4e-a532-1d783d160b6e · outbound

This paper cites Doran and M.

Bernoulli determinants and cuspidal subgroups Doran and M

Reference 13

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source=arxiv_source observed=2026-08-02T05:09:48.869100Z digest=sha256:388036fc79548996e08b1488f47e46637c64cfee68b3756d47aea3a42b4a6aec

Observation 3a8e5726-35b1-4478-b88b-8206a524c9f0 · outbound

This paper cites Drinfeld , Two theorems on modular curves, Funkcional.

Bernoulli determinants and cuspidal subgroups Drinfeld , Two theorems on modular curves, Funkcional

Reference 14

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source=arxiv_source observed=2026-08-02T05:09:48.961182Z digest=sha256:752a9b5fe081cdb57a9dff20e7fa6bfdb545dfb87c8eb61fedec921041bad455

Observation a5d66672-3f8f-4e17-9397-47f3364dbcbb · outbound

This paper cites The 2-part of the Bloch-Kato conjecture, and indivisibility results, for $K_2$ of some elliptic curves.

Bernoulli determinants and cuspidal subgroups The 2-part of the Bloch-Kato conjecture, and indivisibility results, for $K_2$ of some elliptic curves

Reference 15

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source=arxiv_source observed=2026-08-02T05:09:49.083947Z digest=sha256:0f98560054eb9d19c31135c6f1a5448fe37bd7b945f99cfab23a087c54f9642e

Observation 085a2d01-a748-4669-a021-fa18b1a21cf7 · outbound

This paper cites Gille and T.

Bernoulli determinants and cuspidal subgroups Gille and T

Reference 16

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source=arxiv_source observed=2026-08-02T05:09:49.202025Z digest=sha256:a049b1d3126313a0661f0c60fd56b7510aae97d51d86fa2cde93e9ef285645b9

Observation 69a58b21-1c30-4465-bbac-83ec3cfc6cb0 · outbound

This paper cites Enumeration of modular forms for $\Gamma_1(N)$.

Bernoulli determinants and cuspidal subgroups Enumeration of modular forms for $\Gamma_1(N)$

Reference 17

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source=arxiv_source observed=2026-08-02T05:09:49.299680Z digest=sha256:7d783b5a780153fdcacf8e98b6caceac1cefbb36b443e172cc9c0829a9711343

Observation a3e95ec8-c451-4546-9748-67085339520f · outbound

This paper cites Kato , p -adic Hodge theory and values of zeta functions of modular forms, Ast\'erisque 295 (2004), 117--290.

Bernoulli determinants and cuspidal subgroups Kato , p -adic Hodge theory and values of zeta functions of modular forms, Ast\'erisque 295 (2004), 117--290

Reference 18

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source=arxiv_source observed=2026-08-02T05:09:49.383024Z digest=sha256:1599e9d4e858aa282d4aa8855638cac005e07e652aed1fac3f055631db56fd2c

Observation bac15ef3-aea5-425c-8f03-1d13607fec5d · outbound

This paper cites an unresolved cited work.

Bernoulli determinants and cuspidal subgroups Unresolved cited work

Reference 19

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source=arxiv_source observed=2026-08-02T05:09:49.563474Z digest=sha256:e16ac57fa4b894aefb82116d4f3dc0cb0b4880b52e5a0f972726f4f8a3fb0215

Observation f1d175a7-e15a-43e9-8436-8139d15d3cb7 · outbound

This paper cites an unresolved cited work.

Bernoulli determinants and cuspidal subgroups Unresolved cited work

Reference 20

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source=arxiv_source observed=2026-08-02T05:09:49.711077Z digest=sha256:011c4c6edb30a60bf2d2dd2456c26cc2891223777b0218f1d9e55c802c1e7a63

Observation 87311928-d436-476b-b06e-adfde4d94aae · outbound

This paper cites Paratrophic Determinants over $\mathbb{Z}/N\mathbb{Z}$ via Discrete Fourier Transform.

Bernoulli determinants and cuspidal subgroups Paratrophic Determinants over $\mathbb{Z}/N\mathbb{Z}$ via Discrete Fourier Transform

Reference 21

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source=arxiv_source observed=2026-08-02T05:09:49.808699Z digest=sha256:e487ee45601e70a2420dab3e784b38e46f06fa0a96742dbadcc83b19b2b1d0fd

Observation c8bc8488-e1db-4767-85ac-3472196cbebd · outbound

This paper cites Modular Units on $X_{1}( p)$ and Quotients of the Cuspidal Group.

Bernoulli determinants and cuspidal subgroups Modular Units on $X_{1}( p)$ and Quotients of the Cuspidal Group

Reference 22

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source=arxiv_source observed=2026-08-02T05:09:49.886165Z digest=sha256:c6c8617babc593e3db366b4a80eaf27cada781f9e5aa9d067520b1c2221f60aa

Observation 21cb8d61-cc15-4f48-9a23-010b0a2a646f · outbound

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

Bernoulli determinants and cuspidal subgroups Mazur , Modular curves and the Eisenstein ideal, Inst

Reference 23

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source=arxiv_source observed=2026-08-02T05:09:50.006255Z digest=sha256:9956d4246c6c14bf29f42944eece9384aa47f0485b0f9656dbd359d2c99d2a46

Observation 2c873c28-9d98-4aef-b84b-6b50a04ce735 · outbound

This paper cites Mestre and N.

Bernoulli determinants and cuspidal subgroups Mestre and N

Reference 24

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source=arxiv_source observed=2026-08-02T05:09:50.096938Z digest=sha256:c3001ca2ff342f46c5b99314621b49a022faee74d05416cd7118b666df364237

Observation a7fdf0bc-fdab-490c-ab94-e1107fc48b84 · outbound

This paper cites Ohta , Eisenstein ideals and the rational torsion subgroups of modular Jacobian varieties, J.

Bernoulli determinants and cuspidal subgroups Ohta , Eisenstein ideals and the rational torsion subgroups of modular Jacobian varieties, J

Reference 25

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source=arxiv_source observed=2026-08-02T05:09:50.102463Z digest=sha256:d70dd6e54b5c0626036b2f441dfb16219fb3d275f2a1bfefa39fe6fae221cec1

Observation 4ad7f5c1-ef7a-4ba5-95ed-e0f404e1b5ea · outbound

This paper cites Rosenschon and V.

Bernoulli determinants and cuspidal subgroups Rosenschon and V

Reference 26

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source=arxiv_source observed=2026-08-02T05:09:50.111252Z digest=sha256:aba5e8ff532adacc7bdb0616c3d0d9e872cf9fc56e56961251526fb4b44dfe63

Observation 55072485-fa29-491f-9765-97341e6dac72 · outbound

This paper cites Schappacher and A.

Bernoulli determinants and cuspidal subgroups Schappacher and A

Reference 27

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source=arxiv_source observed=2026-08-02T05:09:50.119085Z digest=sha256:0bf33e0156a4265761eed5db7a87b0a7b8e341c8c795b28efe98f2bc64ac6b24

Observation ed2ce260-3c8d-4bf3-86fc-ca30cf537995 · outbound

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Bernoulli determinants and cuspidal subgroups Unresolved cited work

Reference 28

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source=arxiv_source observed=2026-08-02T05:09:50.124735Z digest=sha256:91c29189b684672d1ac99356abd3ad713b919d1dba3f7b96115fe377fd89a7a8

Observation aceca02a-a30a-4c49-b443-99fec72ce335 · outbound

This paper cites Steinberg , Factoring the Dedekind-Frobenius determinant of a semigroup, J.

Bernoulli determinants and cuspidal subgroups Steinberg , Factoring the Dedekind-Frobenius determinant of a semigroup, J

Reference 29

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source=arxiv_source observed=2026-08-02T05:09:50.132965Z digest=sha256:01498acf0bf37990b6c63d13065d628de18016b4d011d74009ba166b3304aa73

Observation 0b68f7fa-95bb-4a18-a58f-7c370b3ce318 · outbound

This paper cites Streng , Generators of the group of modular units for ^1(N) over the rationals, Ann.

Bernoulli determinants and cuspidal subgroups Streng , Generators of the group of modular units for ^1(N) over the rationals, Ann

Reference 30

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source=arxiv_source observed=2026-08-02T05:09:50.141758Z digest=sha256:6c23dfb470c97996b180c1e73e230c4af39018b62c79a21192565d167dd7b158

Observation 7db8d3f4-26b1-4661-a001-a9a68354e7bc · outbound

This paper cites Takagi , Cuspidal class number formula for the modular curves X_1(p) , J.

Bernoulli determinants and cuspidal subgroups Takagi , Cuspidal class number formula for the modular curves X_1(p) , J

Reference 31

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source=arxiv_source observed=2026-08-02T05:09:50.147639Z digest=sha256:45e2285ec96343696a54440f9a97405b38f55b6de5c1b6ac917253e04cae5d7f

Observation 5aadb749-1daf-4880-9308-f06a61c57fc5 · outbound

This paper cites Takagi , The cuspidal class number formula for the modular curves X_1(p^m) , J.

Bernoulli determinants and cuspidal subgroups Takagi , The cuspidal class number formula for the modular curves X_1(p^m) , J

Reference 32

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source=arxiv_source observed=2026-08-02T05:09:50.288294Z digest=sha256:fc8ab40e6c71669d0f27ccdf77394fcbeb06e09fc1fd75072fe30ee029ad1c58

Observation 9ac2f685-b605-4547-8879-906f3dc73e63 · outbound

This paper cites Takagi , The cuspidal class number formula for the modular curves X_1(3^m) , J.

Bernoulli determinants and cuspidal subgroups Takagi , The cuspidal class number formula for the modular curves X_1(3^m) , J

Reference 33

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source=arxiv_source observed=2026-08-02T05:09:50.295414Z digest=sha256:a3ee913b0cef618b5c75adbca740962e5ef30fcbcb72691edf9ffa059d7244bd

Observation d10bce76-e60c-45d5-8eed-37bf9f7e23bc · outbound

This paper cites Takagi , The -rational cuspidal group of J_1(2p) , J.

Bernoulli determinants and cuspidal subgroups Takagi , The -rational cuspidal group of J_1(2p) , J

Reference 34

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source=arxiv_source observed=2026-08-02T05:09:50.343359Z digest=sha256:efd7d55f7f057ede2118e0c021149b099f7941d88c8499b2a7c4d32fe4304ed8

Observation 722d7c54-7887-4c52-a9ed-22c481614115 · outbound

This paper cites Yang , Modular units and cuspidal divisor class groups of X_1(N) , J.

Bernoulli determinants and cuspidal subgroups Yang , Modular units and cuspidal divisor class groups of X_1(N) , J

Reference 35

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source=arxiv_source observed=2026-08-02T05:09:50.419389Z digest=sha256:6f3347ce2e6279c849dde14ca5ec87d6de89b1dddff0a6d1791f383ac7618cfa

Observation 7dd5d014-1bb4-4d1d-9ece-4643defa84df · outbound

This paper cites Yang and J-D.

Bernoulli determinants and cuspidal subgroups Yang and J-D

Reference 36

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source=arxiv_source observed=2026-08-02T05:09:50.476760Z digest=sha256:da94d98e95c39e8bd87139ea7fa325fc5cd515b96ad577afae74713d9dfd0ed3

Observation 4d1b634c-860d-48a8-89c5-1553bb5139e9 · outbound

This paper cites Yoo , The rational cuspidal divisor class group of X_0(N) , J.

Bernoulli determinants and cuspidal subgroups Yoo , The rational cuspidal divisor class group of X_0(N) , J

Reference 37

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source=arxiv_source observed=2026-08-02T05:09:50.529885Z digest=sha256:06b91d9ea3e4cb4a0723ccbfb839b982e59e805429346b3e8063708e5249b78d

Observation 4000fbb6-740f-49b6-8e86-5463b9809629 · outbound

This paper cites Yoo , The rational torsion subgroup of J_0(N) , Adv.

Bernoulli determinants and cuspidal subgroups Yoo , The rational torsion subgroup of J_0(N) , Adv

Reference 38

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source=arxiv_source observed=2026-08-02T05:09:50.610516Z digest=sha256:63033637ba8d287643e63902f1d31f2d103db88b991628b46a215dedfd03313a

Observation 1466997f-09ff-4824-af8c-0a9a0e0c84ce · outbound

This paper cites Yu , A cuspidal class number formula for the modular curves X_1(N) , Math.

Bernoulli determinants and cuspidal subgroups Yu , A cuspidal class number formula for the modular curves X_1(N) , Math

Reference 39

Resolution
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no resolver link, observed 2026-08-02T05:09:50.621512Z

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source=arxiv_source observed=2026-08-02T05:09:50.621512Z digest=sha256:305ce7e124c8c281054db5bc5ae59843ab8044242ae5e3e1aca7e6ddd3629e55

Pith citing papers

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