Paper Citation Record · LEDGER

Harmonically balanced capitulation over quadratic fields of type (9,9)

As of 16 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:1908.01982.

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

pith.paper-citation-record.v1
1908.01982 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:05:01.803341Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

26 of 26 outbound references displayed

verified exact5
verified fuzzy8
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cec90a77-3ef2-4411-9682-c7ae32a400a8 · outbound

This paper cites Arrigoni, On Schur σ -groups, Math.

Harmonically balanced capitulation over quadratic fields of type (9,9) Arrigoni, On Schur σ -groups, Math

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:05:02.845387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation edf915df-c423-4c5c-9c94-6ce5ecf6ec34 · outbound

This paper cites Artin, Beweis des allgemeinen Reziprozit¨ atsgesetzes, Abh.

Harmonically balanced capitulation over quadratic fields of type (9,9) Artin, Beweis des allgemeinen Reziprozit¨ atsgesetzes, Abh

Reference 2

Resolution: verified exact; doi, observed 2026-08-14T15:05:02.055408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 378d0ccc-8225-4dc0-8db3-7ed90f99c081 · outbound

This paper cites Artin, Idealklassen in Oberk¨ orpern und allgemeines Reziprozit¨atsgesetz, Abh.

Harmonically balanced capitulation over quadratic fields of type (9,9) Artin, Idealklassen in Oberk¨ orpern und allgemeines Reziprozit¨atsgesetz, Abh

Reference 3

Resolution: verified exact; doi, observed 2026-08-14T15:05:02.023003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 56cf589c-44e7-4092-b214-dfddf4b6c94a · outbound

This paper cites Benjamin and C.

Harmonically balanced capitulation over quadratic fields of type (9,9) Benjamin and C

Reference 4

Resolution: verified exact; doi, observed 2026-08-14T15:05:01.981480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7ab948fe-b9aa-4c9f-86f9-f7ca61e48ee5 · outbound

This paper cites an unresolved cited work.

Harmonically balanced capitulation over quadratic fields of type (9,9) Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:05:02.816768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation aa778616-35f5-4c6c-9e0d-38f7d628b4d5 · outbound

This paper cites Bosma, J.

Harmonically balanced capitulation over quadratic fields of type (9,9) Bosma, J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:05:02.786869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ea1bb0d4-6b02-4e9d-bc0e-24b451e2494b · outbound

This paper cites Bosma, J.

Harmonically balanced capitulation over quadratic fields of type (9,9) Bosma, J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:05:02.768760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 420cfed8-1ad2-499f-ac29-76f5d6af4a59 · outbound

This paper cites Boston, M.

Harmonically balanced capitulation over quadratic fields of type (9,9) Boston, M

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-14T15:05:01.641551Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 23da059c-a77d-43d2-baff-0861cb3d391d · outbound

This paper cites Boston, M.

Harmonically balanced capitulation over quadratic fields of type (9,9) Boston, M

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:05:02.746575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6cfb3aa9-3665-47c4-8217-cee27fa3fa21 · outbound

This paper cites Koch und B.

Harmonically balanced capitulation over quadratic fields of type (9,9) Koch und B

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:05:02.720277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 269133a1-dfdd-4771-bb91-469fb537864d · outbound

This paper cites Lemmermeyer and P.

Harmonically balanced capitulation over quadratic fields of type (9,9) Lemmermeyer and P

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:05:02.701194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 74f16c2e-72c3-45bd-8c54-9683861f19ad · outbound

This paper cites an unresolved cited work.

Harmonically balanced capitulation over quadratic fields of type (9,9) Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:05:02.679022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e8499cdf-b318-4ede-9d4f-537e0058c9b1 · outbound

This paper cites an unresolved cited work.

Harmonically balanced capitulation over quadratic fields of type (9,9) Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:05:02.656217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4574c045-c6bd-456f-b849-4fbd1ce84bcd · outbound

This paper cites an unresolved cited work.

Harmonically balanced capitulation over quadratic fields of type (9,9) Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-14T15:05:01.683575Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b9a1e399-4b3a-4d13-8490-9922bf1e5953 · outbound

This paper cites an unresolved cited work.

Harmonically balanced capitulation over quadratic fields of type (9,9) Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-14T15:05:01.693415Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 95b7776b-9f3c-4230-823e-d5e5e673c401 · outbound

This paper cites an unresolved cited work.

Harmonically balanced capitulation over quadratic fields of type (9,9) Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-14T15:05:01.700029Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 368299ee-a531-4239-9836-aa6702c635f4 · outbound

This paper cites an unresolved cited work.

Harmonically balanced capitulation over quadratic fields of type (9,9) Unresolved cited work

Reference 17

Resolution: verified exact; raw_fallback, observed 2026-08-14T15:05:02.488955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 818640ad-9406-4ebf-9800-e68789e35724 · outbound

This paper cites an unresolved cited work.

Harmonically balanced capitulation over quadratic fields of type (9,9) Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:05:02.626123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation fcdd93b4-285a-47c3-8fe9-baf29b68a221 · outbound

This paper cites an unresolved cited work.

Harmonically balanced capitulation over quadratic fields of type (9,9) Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-14T15:05:01.731097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d57f6a8a-dc23-41d0-9612-11f76cc26605 · outbound

This paper cites an unresolved cited work.

Harmonically balanced capitulation over quadratic fields of type (9,9) Unresolved cited work

Reference 20

Resolution: metadata mismatch; raw_fallback, observed 2026-08-14T15:05:02.301045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 152957de-2e02-48d8-b8f2-8e54d3f43bf3 · outbound

This paper cites an unresolved cited work.

Harmonically balanced capitulation over quadratic fields of type (9,9) Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-14T15:05:01.765927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ac317540-c38f-4cd4-ab6a-714d8267cb6a · outbound

This paper cites an unresolved cited work.

Harmonically balanced capitulation over quadratic fields of type (9,9) Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:05:02.597924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation abae9778-8884-45db-bd67-e31a737428c0 · outbound

This paper cites an unresolved cited work.

Harmonically balanced capitulation over quadratic fields of type (9,9) Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:05:02.573961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b7f9f735-4ff5-4d1d-8164-5898ef2f7521 · outbound

This paper cites an unresolved cited work.

Harmonically balanced capitulation over quadratic fields of type (9,9) Unresolved cited work

Reference 24

Resolution: verified exact; doi, observed 2026-08-14T15:05:01.867825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ec5b2905-b2c2-4d91-87ef-04b95518a7aa · outbound

This paper cites Scholz und O.

Harmonically balanced capitulation over quadratic fields of type (9,9) Scholz und O

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:05:02.543741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5c04ef60-0a15-485e-93b2-429a685fe87c · outbound

This paper cites Schoof, Inﬁnite class ﬁeld towers of quadratic ﬁelds , J.

Harmonically balanced capitulation over quadratic fields of type (9,9) Schoof, Inﬁnite class ﬁeld towers of quadratic ﬁelds , J

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:05:02.514715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

No inbound Pith citation observations are available.