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Paper Citation Record · LEDGER

Discrete Measures and the Extended Riemann Hypothesis

As of 20 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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:19:21.975778Z digest=sha256:5dbb0c362f105c34f2265839034caf0068a08eed67e8eb3f27841f187b75bdd9

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:19:21.981103Z digest=sha256:79a5487b8d64f83c5f4b7069846007a129cd7445d26f84dfae591aec1a98c8e4

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:19:21.985690Z digest=sha256:f9580d920ceada4931c64a1b169f82e25177eecbd7d45926007ace20dc3f41ab

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:19:21.990656Z digest=sha256:3e249c7fe1a7445cf017db3a89c0a4f4cf44a95c2071ff8e168c46b5382f536f

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:19:21.995462Z digest=sha256:43f865fa03e661e1677202ef908593ff587b60345a3606acce6dfb36c18536e5

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:19:22.000249Z digest=sha256:99c24f2955850d1b46ea6f7389f8d07aee98346389879b8b2d3f81ab76aac714

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:19:22.005088Z digest=sha256:29f2c92ee9d1279ecb9a182b1c9bbfc1ccff203127727a8e0c6f9f39565c3958

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:19:22.009896Z digest=sha256:45bc0fac021fc84705379b858717d3e870bd73a9c17ef53c85952c7b3addab3f

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:19:22.014292Z digest=sha256:bc20c219e2a9e3d973eef20b40a94e90d0f9aadca59f9fa6cc65159ee2cd833b

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:19:22.019073Z digest=sha256:f598844dcdf08cd5c5a2cb19a677de8a61b090591944d8857128acd6e7858fe1

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:19:22.023354Z digest=sha256:901464fe5498c41e146bf00a696322a6d88d01070a47554bd9ad914305dc2b18

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:19:22.027905Z digest=sha256:023ce8210de4b690697b6425905d00dca980c4915759c760e28a354a5182f8b3

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:19:22.031728Z digest=sha256:938cdc5940efa99c6a05a8632c13b712fbf1051890fa7a5cc1c94e1cc17b74d2

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:19:22.035631Z digest=sha256:add2d2f2e090f678121894fa9d1ed2e071303375f9e76283a99e929f3375faa5

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:19:22.039559Z digest=sha256:14d1cb2c9a19c6f61fde3dbbaff54004c289cb7228b5f2885628ac2806d6e566

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:19:22.043327Z digest=sha256:ae199b476679840107a4dfd4539bd9361c3d71def7ec4799839efd60004aa414

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:19:22.047640Z digest=sha256:7ef0766b7c468c98f60f11656ac6a652110ea6da1818db377c00024506ac48d0

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:19:22.052952Z digest=sha256:0edf2184976afe9d0dcc5aeb8963d3b34bf039688a478463049bba8c9d06eaed

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:19:22.057315Z digest=sha256:a23365d93d7c335301b37cdd7b1c09d09bf2f95ebac432adf4f667798ffe079d

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:19:22.062598Z digest=sha256:f43462f367af349b4d2aca736011fe621be4b9ceb682e5b9e7bfe2219f9bd0ec

Pith citing papers

No inbound Pith citation observations are available.