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Paper Citation Record · LEDGER

Discrete Measures and the Extended Riemann Hypothesis

As of 16 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:1908.03658.

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

pith.paper-citation-record.v1
1908.03658 v2

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:19:22.062598Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

20 of 20 outbound references displayed

  • verified exact0
  • verified fuzzy13
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1936a744-bccb-47e9-8bad-bd1ea4743666 · outbound

This paper cites Broughan.

Discrete Measures and the Extended Riemann Hypothesis Broughan

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:19:22.375107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:19:21.975778Z digest=sha256:86067f3a21e0fd3932192f2826bd9ea3d62ff562236e9214002ff4f08e055b84

Observation e8a42c62-a9fb-4eaf-b6b3-56bc164f1d20 · outbound

This paper cites an unresolved cited work.

Discrete Measures and the Extended Riemann Hypothesis Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:19:22.361207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:19:21.981103Z digest=sha256:3de070e6fa303842774b6fa3c66cba76fdc9d30a92550ae3fb65a1389ec4c708

Observation df5ad7ca-12d9-43a2-ae51-6bf88759701a · outbound

This paper cites Estala-Arias.

Discrete Measures and the Extended Riemann Hypothesis Estala-Arias

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:19:22.347294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:19:21.985690Z digest=sha256:6b873640c3cbb859646afe1981aa4a6916b2ab01aa1704406bce26dfd117fdaf

Observation 8e41a65d-3d9b-4713-8f18-73bcc1d2c7db · outbound

This paper cites an unresolved cited work.

Discrete Measures and the Extended Riemann Hypothesis Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:19:22.333446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:19:21.990656Z digest=sha256:6aac30799ba918c45b7fe2005eb4982ad6886f71d57334bb66d66be324e26f89

Observation 9456552e-1266-4902-b914-a9a6b679f359 · outbound

This paper cites an unresolved cited work.

Discrete Measures and the Extended Riemann Hypothesis Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:19:22.318327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:19:21.995462Z digest=sha256:2b1889e07001f1537ffd654014ccbec17efa618c0d54d4f5d74fbc60029679bc

Observation 9a23bed3-dec6-42a7-a591-df78c1c69fce · outbound

This paper cites an unresolved cited work.

Discrete Measures and the Extended Riemann Hypothesis Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:19:22.303625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:19:22.000249Z digest=sha256:b0bd06f3a6d7b07349c2b911402f2d3d8ce1414c6eac8c3f0e5e4ed59a2d6d18

Observation 49aad907-3276-4da3-92ef-867fe15bd6bb · outbound

This paper cites Littlewood.

Discrete Measures and the Extended Riemann Hypothesis Littlewood

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:19:22.289863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:19:22.005088Z digest=sha256:e183f3d4be2335c89a8a909423b36a153655555420d2e26f24dcf07e3a96de43

Observation 7119d202-02c6-43f1-a885-e07834f4a26d · outbound

This paper cites an unresolved cited work.

Discrete Measures and the Extended Riemann Hypothesis Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:19:22.277467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:19:22.009896Z digest=sha256:d87b6df9dcc0d942f2d6174508b5fcdafcda993d683fd03a3ead2d64a3f74bcf

Observation 6d67c44a-2ddc-4083-bd79-4dfc5b18f366 · outbound

This paper cites Ram Murty and Jeanine Van Order.

Discrete Measures and the Extended Riemann Hypothesis Ram Murty and Jeanine Van Order

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:19:22.264284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:19:22.014292Z digest=sha256:1c556af79f98dcb302e6fb786aff31be8540c7047c4526421e10618bf431f187

Observation c97d8220-8cc2-4010-a98c-55e45feeb375 · outbound

This paper cites Narkiewicz.

Discrete Measures and the Extended Riemann Hypothesis Narkiewicz

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:19:22.249737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:19:22.019073Z digest=sha256:0b0b0ea3945f46945ae61dbbde747fb09ccc4a20636ba695a8f5ff5df87cedcb

Observation ecb3570e-c780-4403-856a-afed053e7aec · outbound

This paper cites Neukirch.

Discrete Measures and the Extended Riemann Hypothesis Neukirch

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:19:22.235205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:19:22.023354Z digest=sha256:9ef279bc54fb5a0e475b48e4a7340cf02e2a669681635a40d34f1b4485ca49e3

Observation cab6d3be-ec4e-4e78-b4d7-f9c9c8c23e6c · outbound

This paper cites Nicolae and A.

Discrete Measures and the Extended Riemann Hypothesis Nicolae and A

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:19:22.220807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:19:22.027905Z digest=sha256:3ce25f60a88bd1b5d47b256200e8f48379b770f09ea095d8de2f09e0ac5e50aa

Observation dd081ee8-b7cd-4bd3-9922-dda2d2a2ff8c · outbound

This paper cites Parkkonen J.

Discrete Measures and the Extended Riemann Hypothesis Parkkonen J

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:19:22.206257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:19:22.031728Z digest=sha256:f140f915e35d1d7152fde343188844809f30749b4fd3105dae7a4b91653c1535

Observation 898a499a-423d-457b-b887-bed608f54cd3 · outbound

This paper cites an unresolved cited work.

Discrete Measures and the Extended Riemann Hypothesis Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:19:22.192992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:19:22.035631Z digest=sha256:fc14de3aed839c4adc54b3d32b9ee3605f1d3dccf9a2bbe2d913f86201e76c99

Observation 89f1f3c7-cd83-452b-b00b-043c7549bdc6 · outbound

This paper cites Sittinger.

Discrete Measures and the Extended Riemann Hypothesis Sittinger

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:19:22.178522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:19:22.039559Z digest=sha256:ec0e9eca0232e77279d9452317446fe54d329889a3ececf0a63f4e643796719d

Observation b4ab92ca-2aef-44e4-9022-ba8b8d80f147 · outbound

This paper cites Visible lattice points and the Extended Lindel¨ of Hy- pothesis.

Discrete Measures and the Extended Riemann Hypothesis Visible lattice points and the Extended Lindel¨ of Hy- pothesis

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:19:22.161403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:19:22.043327Z digest=sha256:d17a48d90b2e36891bb53a1dca4ca799156a0e118ee4430091a0b963f9d234b3

Observation a48e04db-ea56-41dc-a389-5352e2f65d62 · outbound

This paper cites Titchmarsh.

Discrete Measures and the Extended Riemann Hypothesis Titchmarsh

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:19:22.144482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:19:22.047640Z digest=sha256:64e15ea4925597ea4947362276b04cf81441ed4e96966e202921edeae53813ef

Observation 8426a819-d902-455f-a002-5681d7b58e1b · outbound

This paper cites Verjovsky.

Discrete Measures and the Extended Riemann Hypothesis Verjovsky

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:19:22.128007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:19:22.052952Z digest=sha256:eb79bebdc0408edd6ec08a58467c3e35754a8564e6bf8faaf2829ddfb15f661f

Observation e9e3c81c-b31e-4c13-afa3-14d8964bd78a · outbound

This paper cites Verjovsky.

Discrete Measures and the Extended Riemann Hypothesis Verjovsky

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:19:22.113065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:19:22.057315Z digest=sha256:be409ae318a23cd6e7256d8ba28f57caab5864543a72479e4b6367426e5a34ae

Observation e27a76d3-8252-467b-b6d3-e33b7e83d70f · outbound

This paper cites an unresolved cited work.

Discrete Measures and the Extended Riemann Hypothesis Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:19:22.098239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:19:22.062598Z digest=sha256:c7830e123605a8e3f19fbf74cf3cd28152c124dab276cc84d575c227e550ddaf

Pith citing papers

No inbound Pith citation observations are available.