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Paper Citation Record · LEDGER

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures

As of 12 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 0 inbound Pith citation observations for arXiv:2505.19796.

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

pith.paper-citation-record.v1
2505.19796 v2

Coverage vector

measured 60 of 60 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:16:10.937561Z

measured 60 of 60 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

60 of 60 outbound references displayed

  • verified exact1
  • verified fuzzy15
  • unresolved42
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8b4d474d-71ff-4d3e-afa8-d6a0bfeff40f · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:24.259069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:06.109998Z digest=sha256:731e38b7031cea82e424409ddc3a879c85fce4aac48153ce00b532a88ba6ee2f

Observation a34e717a-6117-49bf-bde4-85f4bd352e0e · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:23.989034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:06.168258Z digest=sha256:bbdfb58c14d8b07893125bd4ba642aeae42f3811212dee9df36191e57d311bd1

Observation a93bc54c-580f-4d67-9ea5-723b640307d3 · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:23.740359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:06.275501Z digest=sha256:1a3b50f81581b543c66a58b6a083e4a4155e1402fdc9d5a057332cc997ed91fa

Observation 39533bfb-ae9f-49b4-9cb2-d252f06013ec · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:23.430115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:06.396374Z digest=sha256:451a283420fffbaf6eabf9e8e6c9162fd7345b7213870fdd8b0544d0c0c5695d

Observation b577b435-5162-4ce2-b9ba-e1d0aa87059c · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:23.123880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:06.493095Z digest=sha256:8ce110fd2f49eca659635bfb06bf798dd98f220ef062cd8f7dd4ab7bd1648541

Observation 834e2090-0b3d-4e08-be9f-1eadbce4263f · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:22.821119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:06.593980Z digest=sha256:f381524c8396f99b652c487d262b6957fd4f4393ba2715ff894333725fbe2e25

Observation 822b1e1a-9283-4724-b824-cbd70b0f3521 · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:22.570834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:06.689333Z digest=sha256:553d37e3327ebe32080d68362cb9759b4e7244926fa1cb9e4059bebb01231caa

Observation 0d80fb3d-ea6f-48c2-a921-655023806022 · outbound

This paper cites 3.2 Topological Structures in Embedding Let 𝑃∈𝐸(𝐾) be a point of infinite order.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures 3.2 Topological Structures in Embedding Let 𝑃∈𝐸(𝐾) be a point of infinite order

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:16:22.281114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:06.806395Z digest=sha256:5962e68ee7162b2d80dd7781b9e46119d2807bacc273471b6962a6e3c163fcee

Observation 9a6b5800-a67c-48f8-bd7d-331761643344 · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:22.233164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:06.926108Z digest=sha256:5bceb5525f24a85435742cfb7a7c06e430a32805c5e73be686e964e287c55f45

Observation 61a72b2c-abd1-4e9c-946c-eb3e249a53e6 · outbound

This paper cites This loop 𝐿௉ is topologically nontrivial and represents a generator of the first homology group 𝐻ଵ(Φ(𝐸), ℤ).

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures This loop 𝐿௉ is topologically nontrivial and represents a generator of the first homology group 𝐻ଵ(Φ(𝐸), ℤ)

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:16:22.027429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:07.025301Z digest=sha256:b92e293515e35fad04b40d0e4c0d3972558f60fbf440b371363cae8736fdb5e0

Observation 4ef7e6b3-3280-4a02-a7f1-593e2bbc0081 · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:21.798843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:07.091768Z digest=sha256:20ae35dc31ab9af7bd5ab12fbdeed78346b7cb5cbaa6407366fbb1b95c5e384c

Observation 7b52db80-51bf-4f1f-9050-303756bc2696 · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:21.533923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:07.199219Z digest=sha256:89345d83a67fd7db48e9f739317c2338bc9a17d821fe4585388ce2d022e148d9

Observation 91b37f76-9b1c-48a0-833f-97eb657f5c36 · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:21.314072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:07.259782Z digest=sha256:c6ce1e58133781fdccce94a2809659bfbf6fd62511cd81befde0c57ff615ffb1

Observation 48bce7bc-701e-4447-9f89-b9779cf4293b · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:21.104040Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:07.347904Z digest=sha256:aab8bd4bc4c3863db8b2af60453666d0db02bc7891232ab47359a593052cbac6

Observation 9f399ad9-0f67-4f6f-a2ff-657411e01418 · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:20.926698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:07.420298Z digest=sha256:397a3455c14ca9438fd5a5327296af876aabba433ce7e045cec3e7b93eef1629

Observation 15401111-5061-41a3-a390-48f9f7b77030 · outbound

This paper cites topological zeta function.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures topological zeta function

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:16:20.706044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:07.513445Z digest=sha256:952f692a06c9500236cb5fc1be59681a81c70047103550fe21affa8805934cc7

Observation c6ecc501-fa88-47c5-a89d-ca2ff6a429e7 · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:20.509280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:07.593865Z digest=sha256:5bfff9352ea6b2c5e298cc743ebc25874cda63d7557e4c6c6ceadebf326ff197

Observation ed6a0e9e-d350-4bd7-97a3-37ff2b6e13e8 · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:20.319833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:07.661759Z digest=sha256:caf3ad1f8ab9076ff3958ec1004218611523e03f167b137568d35d500cb76246

Observation 0a7ec983-6922-4338-9f71-4a0d79e6f35b · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:20.115684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:07.713612Z digest=sha256:f478f753e5bc1e63f1365a7a2232667f9c3dc44213b47d7396547819ae0c6b82

Observation 08e81eac-4da2-4675-9610-d73feff47f31 · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:19.898465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:07.789841Z digest=sha256:dcd83958d6f531fa67f6afe520e35aac01679b52c274ee2a22b8ad156d2d4c18

Observation e53afab6-123f-4d2a-802c-8116026be62b · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:19.700953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:07.891554Z digest=sha256:a5a51508a7f91f5f16fcfde0662493d9c8cbf94a6528a9ee610c6773ca40413e

Observation 95dd038d-f01a-4950-b948-1a78044e96c1 · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:19.547549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:07.997942Z digest=sha256:91d05a7cfaef64af8fcdcb19338c993f84279979d65d140f40db1c5102bc910c

Observation a9c93e21-5ff6-4a5c-aaba-17d4d360b3b7 · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:19.358885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:08.079736Z digest=sha256:6856892c4c015b899c115fc46ac280644d7d0d16340811d4d3e3044eb5ded965

Observation 96d3f754-81cf-4093-b686-5eb0ca54ff1d · outbound

This paper cites Our results show a consistent pattern across hundreds of elliptic curves: Observation 8.3.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Our results show a consistent pattern across hundreds of elliptic curves: Observation 8.3

Reference 24

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T14:16:19.134002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:08.187745Z digest=sha256:af1efbe295a870ae16b907a250212f9ff7cacb8d7b01b5fcff4608815a952f8e

Observation 4b32cc2f-7280-4a48-9450-850b7c4084c5 · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:18.960773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:08.263590Z digest=sha256:3f0aa8f6d076ce12ad5d61ad21d4369e08e08ae0c3e0438a09f24ad4a9ae9409

Observation 1ade8682-d369-4833-a4d0-decaa20558a4 · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 26

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T14:16:18.759827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:08.363236Z digest=sha256:b1f531710a697f7783c4fc728a438eaf5b172d67a458ef6b9065e9ea33d87eb7

Observation 2d629699-5516-483d-990c-e3b586d7a775 · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:18.605889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:08.461346Z digest=sha256:e15187196afdb219665625c38c6e519f30a697e2ad6915050fcde16c6d0df047

Observation 45bc19b3-1cc6-4e81-90b8-911a52e1af51 · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:18.411885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:08.551605Z digest=sha256:28d3f5dd91b3984297cc558561490071e3cdc300fcfdb1240a4d67e3068fdb5e

Observation 2d5655e4-7c48-48cc-b4b3-4fa6383216eb · outbound

This paper cites Similarly, the analytic aspects present additional challenges:.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Similarly, the analytic aspects present additional challenges:

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:16:18.201132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:08.618880Z digest=sha256:f0c42e36eb752cd407485e1bf667558c8fe399594f62c9842dd5234969ce6e3e

Observation 1405c3ba-6f8a-445d-8d62-a98087c700d1 · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:18.008435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:08.705336Z digest=sha256:3950b7fd437a63421e30f1b3f498863a9066705f6f35a5ea43415612cf27cf87

Observation 157a72c0-cb57-4b8b-8703-2f3620aeb677 · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:17.771687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:08.808788Z digest=sha256:7b61609662e905462140a6a06696a9892c841e44ac0a84690c4ac6c0c3be1f72

Observation f1c2055f-9439-4966-bce0-0c7e72c7fb59 · outbound

This paper cites 11.2 Proposed Approaches for Generalization 11.2.1 Higher-dimensional embedding construction Definition 11.2 (Generalized Embedding).

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures 11.2 Proposed Approaches for Generalization 11.2.1 Higher-dimensional embedding construction Definition 11.2 (Generalized Embedding)

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:16:17.577700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:08.908570Z digest=sha256:1b73b9d62b8d06d85922d36621761b45e519ce1edfa6b14401647b48995fe726

Observation 246cced8-35ff-477c-8e3a-ce0a70872a14 · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:17.383508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:08.989910Z digest=sha256:2a52c22940cd4d61759687a2d3c77410b69ae312a8550505a7fd8c6f2d5b6218

Observation fad53d2c-570a-4b83-84ae-f1e7a73c4d6e · outbound

This paper cites loop structures.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures loop structures

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:16:17.200771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:09.052943Z digest=sha256:ba840aee0bc67b16d422bbb7a46944ddf6ea9949fb8cf2d89723df003f62a150

Observation 199b360e-f457-4e52-a2d8-6dc4d85364d2 · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:17.008611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:09.115961Z digest=sha256:46ba8c6db0bcfa9775425edeb699e12b538f47dae9c7c5995e32008a10b49143

Observation 61e8cb95-936e-4d0f-ae00-93c5b6dbcccc · outbound

This paper cites In our framework, this corresponds to the absence of infinite loops in the embedding.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures In our framework, this corresponds to the absence of infinite loops in the embedding

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:16:16.779967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:09.217367Z digest=sha256:4012bae375dc9d010549bb6df7c7c4e0d58bd97d73cdc23fd8784b372345d59d

Observation aa26e440-0bec-4e67-be76-0a6911379ab2 · outbound

This paper cites size" or.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures size" or

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:16:16.535794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:09.312099Z digest=sha256:e8ff0ba0fd0568440bc6010856a057053373eec727a7119ac5dceb7e7fd6e2d8

Observation 1201ad96-5807-4bb8-b13f-915dee15b3e3 · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:16.194508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:09.369923Z digest=sha256:f286417e79e67a2d2ec8df917e339aa44f55eca800d98e422bff98b22edc8c4e

Observation e0ef77cf-6567-43d7-90d1-1ae328b8c25c · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:15.891081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:09.461393Z digest=sha256:e59c5af591414798551b90978b501e36a63b5c132c00de93ce934df28e3e92a5

Observation 23f9345e-08f1-4cec-ab67-8a029f555785 · outbound

This paper cites Our computational approach, which is based on the functions 𝐹new and 𝐹௠,௦, provides a practical tool for exploring these connections empirically.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Our computational approach, which is based on the functions 𝐹new and 𝐹௠,௦, provides a practical tool for exploring these connections empirically

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:16:15.657269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:09.534693Z digest=sha256:0acb0c9f33ea3dbf04cd26a447e911bb8d632377da06e82b599588c62e4a06bd

Observation 2d8c3115-3384-4d26-8017-fa9d2b65c235 · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:15.377472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:09.602023Z digest=sha256:8a1267d4b18739d522d584619b508f1259f49adad68c288d89590aa04eff0612

Observation 3b3fa38a-1cd1-4608-ab70-32f65fbd3410 · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:15.124458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:09.654063Z digest=sha256:606f79906cdeecfeada91df8505ffd10e39b56cc0ea98daa4db48740ea67b2b2

Observation b40a616c-7d03-4a2e-8990-8a93105e7d6c · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:14.883940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:09.744271Z digest=sha256:5e461bcfe5d8e3102da6d38577fe1a5e6fa1d6505646d21445a8f79b9160b8dc

Observation a6c33647-dbb4-4d07-9ceb-d25b2b483cd8 · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:14.611414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:09.796174Z digest=sha256:eaf581e96c8bbc05b57a9bae3738e00451211565ab8306de0e41e2ffb9b0715b

Observation 4070446a-cff0-497b-83d3-bea1d138ce86 · outbound

This paper cites Bhargava and A.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Bhargava and A

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:16:14.281387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:09.869333Z digest=sha256:20e9b84899f3519f95be4aa9fb29110625433ab8b60552aad63fd4a08bf2a647

Observation eef56122-d0d1-4997-99f4-dfd21b8a8f42 · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:14.123168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:09.937517Z digest=sha256:c4d2e348fed64c60d7d1eabc741bf3dc44629b729347565083b153180b5d11ca

Observation c1c528c0-7f49-4386-9436-8be9899daf9e · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:13.947178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:10.018268Z digest=sha256:9bbf97f62281772f0d24536bdc76b626ab70a8cc15c3d6dbe41aeb1a2f7cd344

Observation 4e528b90-3c20-405f-a9bf-c4d06a1c8d31 · outbound

This paper cites Breuil, B.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Breuil, B

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:16:13.769826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:10.093404Z digest=sha256:b1cb5967211a7704acb8140af3961e4043b06916d8ca4fd6c2e90010ff4f5bfe

Observation 9b4658fa-f3b8-465a-bc2e-6aa6fb0af382 · outbound

This paper cites Coates and A.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Coates and A

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:16:13.622048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:10.175345Z digest=sha256:de87acaa7a20be2949437e31edc960c58ffd803ee49274a3b32a0e97d5385d30

Observation f0372bbd-be7f-4ce1-9fbf-d3c0d7a266e3 · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:13.412284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:10.235391Z digest=sha256:f45a1e3959771ce0e225d7ae90a5c38d3190cff856850ad232d6d1cc730e43f7

Observation c6f5a4d2-064e-4d57-95c5-e4cb55fc469b · outbound

This paper cites Dokchitser.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Dokchitser

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:16:13.137937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:10.322151Z digest=sha256:321c66f942af20f32855b353ff70ec9c4a7a133db6f3257018707f932c622132

Observation 97b4782d-706f-419a-b293-2dfe2881c781 · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:12.835447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:10.379353Z digest=sha256:5dcb47a5cc346e83a8a61d41224d2b86492d89b4cacf6fcfc5d87380c1b03bd3

Observation 89722e05-2181-4216-af59-fd1b9d933f36 · outbound

This paper cites Three lectures on elliptic surfaces and curves of high rank.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Three lectures on elliptic surfaces and curves of high rank

Reference 53

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:16:11.144252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:10.443679Z digest=sha256:3b2aa5871cc2f706cd61eee87e756d91a3ef65889703567bea5879ab726470ac

Observation 13e0f36f-906b-449b-8ecf-24d2068e6677 · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:12.542920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:10.449188Z digest=sha256:b52d1a37c8a992100330e7bbb2a341a672e613b4bb368ee342a97b191f1e97e4

Observation ee1248b1-f396-43bb-80ef-615c7ac70139 · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:12.339893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:10.457799Z digest=sha256:a4cac9f9487a9a41b98dd613db6d539a4926a987e54e59ceceda668fbc655ade

Observation 2c81e0df-642b-4f9e-a67a-c95b3c726fa7 · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 56

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:12.088972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:10.579728Z digest=sha256:4d3ce3ca2dcafb071d14d278301032d40fdbaf2564924be41d2b1eb187380eab

Observation 77e76c68-1903-4f6c-b157-3742a66bc42f · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:11.949134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:10.668195Z digest=sha256:626f93404b357b81e464cf5b0507871d40fb5b3a92162da99b8c9903dd911d96

Observation b4a08703-efa2-4478-9f95-af7d4a6f693e · outbound

This paper cites main conjectures.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures main conjectures

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:16:11.643395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:10.745427Z digest=sha256:48e7bf7cef6b5c35ff42020f50cabce6c115f428908f363ed6923fe28a8375a1

Observation 7b258cfc-7c71-4e76-a025-710e45648320 · outbound

This paper cites Taylor and A.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Taylor and A

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:16:11.456837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:10.831044Z digest=sha256:27386f846011b94d5a756d938bbc6ac0531c4ea485f6e5cc92e0b020be471179

Observation c558dbe6-28e9-427e-b783-41a1b0163e7a · outbound

This paper cites an unresolved cited work.

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures Unresolved cited work

Reference 60

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:16:11.292946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:16:10.937561Z digest=sha256:2d07720542be4d24162b4db37b2900171e039cc83ad599204bc1770499105b16

Pith citing papers

No inbound Pith citation observations are available.