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Paper Citation Record · LEDGER

Isogeny graphs of abelian varieties and singular ideals in orders

As of 17 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2508.03570.

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

pith.paper-citation-record.v1
2508.03570 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T04:26:14.387605Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

30 of 30 outbound references displayed

  • verified exact3
  • verified fuzzy23
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9504b87e-7cab-4688-b163-30c7e1c536ad · outbound

This paper cites On the ubiquity of G orenstein rings.

Isogeny graphs of abelian varieties and singular ideals in orders On the ubiquity of G orenstein rings

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T04:26:19.559347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T04:26:11.558768Z digest=sha256:ad4f4965301ddaa61d337c18ee85baaed190eb4617044766b3efca335759f971

Observation 9fb30e11-2f61-4b0e-954e-7bf91d43d753 · outbound

This paper cites Isogeny graphs of ordinary abelian varieties.

Isogeny graphs of abelian varieties and singular ideals in orders Isogeny graphs of ordinary abelian varieties

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T04:26:19.427160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T04:26:11.604518Z digest=sha256:32d4633e60ade77aef8eca10b5011fa01fb16a40702d8d720fe86eecd3e60b47

Observation 3787ee5e-e2e1-4a2a-9e14-4d69ddb92812 · outbound

This paper cites Polarizations of abelian varieties over finite fields via canonical liftings.

Isogeny graphs of abelian varieties and singular ideals in orders Polarizations of abelian varieties over finite fields via canonical liftings

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T04:26:19.272326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T04:26:11.691533Z digest=sha256:5f41d5acbe28e2c7846257c26c619e00c7e63b5925d6bc910f86bd290d40e4fe

Observation 92c4a6c2-3b10-46f3-98e1-f899cd7db807 · outbound

This paper cites Abelian varieties over finite fields with commutative endomorphism algebra: theory and algorithms.

Isogeny graphs of abelian varieties and singular ideals in orders Abelian varieties over finite fields with commutative endomorphism algebra: theory and algorithms

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-06T04:26:15.173692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T04:26:11.760000Z digest=sha256:21a7c0e735e89a280f4e04aa0810f1738880a0fc5f1ba9dc6f024fea68070649

Observation 8eef24b8-0074-40bd-8f33-cb39281f6da6 · outbound

This paper cites an unresolved cited work.

Isogeny graphs of abelian varieties and singular ideals in orders Unresolved cited work

Reference 5

Resolution
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raw_fallback, observed 2026-08-06T04:26:19.156361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T04:26:11.878912Z digest=sha256:863d7e9eff1a286f28e743a284af90caaace853613c8ee21d6ffe3711bc2e523

Observation 321f3939-9a75-47f5-a177-c2996e2fb3e9 · outbound

This paper cites Orbital integrals and Ideal class monoids for a Bass order.

Isogeny graphs of abelian varieties and singular ideals in orders Orbital integrals and Ideal class monoids for a Bass order

Reference 6

Resolution
verified exact
raw_fallback, observed 2026-08-06T04:26:14.986155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T04:26:11.927849Z digest=sha256:c56b03151e58625176b1ae35dbf056119fe4642a0f83a9127fff8c73bf4090d4

Observation 6564dd67-0c4c-4fed-8ca8-471ee588af7c · outbound

This paper cites Categories of abelian varieties over finite fields, I : A belian varieties over F _p.

Isogeny graphs of abelian varieties and singular ideals in orders Categories of abelian varieties over finite fields, I : A belian varieties over F _p

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T04:26:19.037634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T04:26:12.004568Z digest=sha256:1d06767b1a7010fac8e9ed68c917709f2ba890b42ee0caa261560f05939e494e

Observation 984dfd9e-2f83-47cd-8b20-913af0a3e57c · outbound

This paper cites Vari\'et\'es ab\'eliennes ordinaires sur un corps fini.

Isogeny graphs of abelian varieties and singular ideals in orders Vari\'et\'es ab\'eliennes ordinaires sur un corps fini

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T04:26:18.910735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T04:26:12.113731Z digest=sha256:044faf2df59ba1f7408277a9d4de0d26bd9131e0415c348ac5810e5ebc4d5aed

Observation 7324a1a2-9647-4463-84e1-0c5dcec3cc76 · outbound

This paper cites Galbraith.

Isogeny graphs of abelian varieties and singular ideals in orders Galbraith

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T04:26:18.768953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T04:26:12.186207Z digest=sha256:1af0ad88938cb2ec02d7447303639e453f86574ae1cb3efb2f0d8dd60163acc8

Observation 4a2a421c-ced4-45ec-bcf6-b39840202502 · outbound

This paper cites Isogeny volcanoes and the SEA algorithm.

Isogeny graphs of abelian varieties and singular ideals in orders Isogeny volcanoes and the SEA algorithm

Reference 10

Resolution
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raw_fallback, observed 2026-08-06T04:26:18.637233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T04:26:12.313265Z digest=sha256:136322164ed4870a04f34ddca5dcf7b70d898b44b665ababcb14009f4b54730f

Observation 18a2757f-043b-4103-a8a1-22e22c893693 · outbound

This paper cites Ferrand and J.-P.

Isogeny graphs of abelian varieties and singular ideals in orders Ferrand and J.-P

Reference 11

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T04:26:12.407483Z digest=sha256:d11b02020fa6d0a71e256d744f4fcfd0452be0e34833a88421202ae674e62c77

Observation 90e22090-dc0a-4025-9bc2-2e85a3c1c60c · outbound

This paper cites an unresolved cited work.

Isogeny graphs of abelian varieties and singular ideals in orders Unresolved cited work

Reference 12

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T04:26:12.483651Z digest=sha256:41fe1a437f72e54e6db127486a987bc2045e80f68066646cd4ab9dd220f034dd

Observation a04f70ef-d940-4911-8e65-e4e5f1b5fe52 · outbound

This paper cites On the computation of overorders.

Isogeny graphs of abelian varieties and singular ideals in orders On the computation of overorders

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T04:26:18.218128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T04:26:12.575688Z digest=sha256:e024d31b22bb7f03aa8c8ddb35b92e0bfeafd28b42fd1de6a9989ba238b88487

Observation 6c056599-d447-444c-9a58-fe6c4d03115e · outbound

This paper cites Isogeny graphs with maximal real multiplication.

Isogeny graphs of abelian varieties and singular ideals in orders Isogeny graphs with maximal real multiplication

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T04:26:18.003679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T04:26:12.765205Z digest=sha256:8bf22c559626df001a86afcad90e3b1cf73aba34483e8a55dcc873f7c42df0eb

Observation 042cf363-f05d-427b-b385-e72b92b09946 · outbound

This paper cites Jordan and Bjorn Poonen.

Isogeny graphs of abelian varieties and singular ideals in orders Jordan and Bjorn Poonen

Reference 15

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T04:26:12.879029Z digest=sha256:956e4b58485f4aa0a4e364e782359e148e1d68f669d60c26f810a4cbe27bb406

Observation 40d33812-623f-41f9-a51a-2ffa0eec5e52 · outbound

This paper cites Products of CM elliptic curves.

Isogeny graphs of abelian varieties and singular ideals in orders Products of CM elliptic curves

Reference 16

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T04:26:13.007312Z digest=sha256:3a50755a7cd0b8da3df4816a36be992d787d965a53075da815e45d7f376f8234

Observation 86bec7e7-d5b3-4339-bdae-498bd379b046 · outbound

This paper cites Enumerating orders in number fields.

Isogeny graphs of abelian varieties and singular ideals in orders Enumerating orders in number fields

Reference 17

Resolution
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local_arxiv, observed 2026-08-06T04:26:14.639024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T04:26:13.103162Z digest=sha256:5576543b8bcd7d6a87e9d787b857d81d4dd7db601d7a88bf77c5284979e34624

Observation 4471ca69-d593-4212-904e-d29b36e0801d · outbound

This paper cites Endomorphism rings of elliptic curves over finite fields.

Isogeny graphs of abelian varieties and singular ideals in orders Endomorphism rings of elliptic curves over finite fields

Reference 18

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T04:26:13.197045Z digest=sha256:502b0e6f06276c6c17388381646707da8c597f967b277e2eeec66844e737be5a

Observation 83238ed1-5b4f-4d6b-aef2-baa275f7a82a · outbound

This paper cites The L -functions and modular forms database.

Isogeny graphs of abelian varieties and singular ideals in orders The L -functions and modular forms database

Reference 19

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T04:26:13.309571Z digest=sha256:43edf2c2ac86f01cd2659932b4e6944c24a4e91ba82b3357159e60928a91ff0c

Observation e4815c6c-e4e4-4931-a14f-c9b1ca2d2295 · outbound

This paper cites Isogeny Graphs, Modular Polynomials, and Applications.

Isogeny graphs of abelian varieties and singular ideals in orders Isogeny Graphs, Modular Polynomials, and Applications

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T04:26:17.088884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T04:26:13.506894Z digest=sha256:0a7faacd559f17c191b7f1984fe7491ba21ba933e783c9c039f4bb1af8de119b

Observation 3517f528-e751-4d4a-a61b-21feb175ed3a · outbound

This paper cites Computing square-free polarized abelian varieties over finite fields.

Isogeny graphs of abelian varieties and singular ideals in orders Computing square-free polarized abelian varieties over finite fields

Reference 21

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T04:26:13.574160Z digest=sha256:966f5cd3d2be324c1578cdf6e5420338184b1c9049c06882208c99bbf2474fab

Observation 9a8f7796-f1d1-4b61-a25b-f496c2d7239d · outbound

This paper cites Computing base extensions of ordinary abelian varieties over finite fields.

Isogeny graphs of abelian varieties and singular ideals in orders Computing base extensions of ordinary abelian varieties over finite fields

Reference 22

Resolution
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raw_fallback, observed 2026-08-06T04:26:16.716739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T04:26:13.698946Z digest=sha256:9e70671500d1d5d29e17d3af57e1a36135ed9035b78e0ba3db60c487ed484f25

Observation 93cae251-644b-461b-b47f-8538944cbc40 · outbound

This paper cites Cohen- M acaulay type of orders, generators and ideal classes.

Isogeny graphs of abelian varieties and singular ideals in orders Cohen- M acaulay type of orders, generators and ideal classes

Reference 23

Resolution
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raw_fallback, observed 2026-08-06T04:26:16.531055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T04:26:13.770480Z digest=sha256:54fd319e97eb1d489be10a2e3960b155e0d02aa8c96f2b080319df1f8f2b4b65

Observation 95fb57bb-1a16-4bf4-aa02-6b21d0c1990a · outbound

This paper cites Abelian varieties over finite fields and their groups of rational points.

Isogeny graphs of abelian varieties and singular ideals in orders Abelian varieties over finite fields and their groups of rational points

Reference 24

Resolution
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raw_fallback, observed 2026-08-06T04:26:16.316608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T04:26:13.849163Z digest=sha256:4277afda889b2450e20de2de4000281136424d791003884dfba30b61c561ff9c

Observation 197eda04-2c27-4911-bb50-3e99d82a3152 · outbound

This paper cites Algebraic number theory , volume 322 of Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences].

Isogeny graphs of abelian varieties and singular ideals in orders Algebraic number theory , volume 322 of Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]

Reference 25

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no resolver link, observed 2026-08-06T04:26:13.985845Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T04:26:13.985845Z digest=sha256:e76283b5c78c12bb840d5a0fba2f26764f0b99e959c6c9be962623c968bbf145

Observation d4210717-ab29-406d-be66-ead75ce4357c · outbound

This paper cites an unresolved cited work.

Isogeny graphs of abelian varieties and singular ideals in orders Unresolved cited work

Reference 26

Resolution
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raw_fallback, observed 2026-08-06T04:26:16.149269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T04:26:14.033121Z digest=sha256:204874eaac982e77b2c7144519415e73c5daefc711bab7d4510343e13d9c1c9c

Observation 89f3d753-b5ca-4722-842f-d2e7115a2fd9 · outbound

This paper cites An algorithm for computing modular forms on 0 (N).

Isogeny graphs of abelian varieties and singular ideals in orders An algorithm for computing modular forms on 0 (N)

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T04:26:15.901271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T04:26:14.103903Z digest=sha256:f6888a900902f5337f279ee5728fb32f96c4cd26ed08a44d99b77a5fbcf96d89

Observation 58117af2-7146-4495-97dd-4aad934cb469 · outbound

This paper cites Isogeny volcanoes.

Isogeny graphs of abelian varieties and singular ideals in orders Isogeny volcanoes

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T04:26:15.734321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T04:26:14.175809Z digest=sha256:e8bab96da24b2e5a5dfe643c1a3ee0d17c7f5402470457d871ded1827313d733

Observation b1210695-0c08-48f9-a3ae-8219de6ed67e · outbound

This paper cites Endomorphisms of abelian varieties over finite fields.

Isogeny graphs of abelian varieties and singular ideals in orders Endomorphisms of abelian varieties over finite fields

Reference 29

Resolution
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raw_fallback, observed 2026-08-06T04:26:15.519068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T04:26:14.280523Z digest=sha256:39eb5f4fed34d3a2ff1c47731b0337761132334b05f26c3ba70d3935765c2a69

Observation 49cc138d-3e1d-42c8-b3d2-90b66335084d · outbound

This paper cites Waterhouse.

Isogeny graphs of abelian varieties and singular ideals in orders Waterhouse

Reference 30

Resolution
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raw_fallback, observed 2026-08-06T04:26:15.339780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-06T04:26:14.387605Z digest=sha256:9a00b5f8ad9d60be0a59321f70dd49289f210902f4bfce590ca40567b9135665

Pith citing papers

No inbound Pith citation observations are available.