Paper Citation Record · LEDGER

Bounds for Mertens Sums

As of 12 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2608.01498.

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

pith.paper-citation-record.v1
2608.01498 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T00:16:50.750777Z

measured 35 of 35 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

35 of 35 outbound references displayed

verified exact0
verified fuzzy17
unresolved17
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1fbaba72-1263-4181-a138-737e6e0f82dc · outbound

This paper cites an unresolved cited work.

Bounds for Mertens Sums Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-06T00:16:54.904079Z

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.

Observation 044b4861-9d11-44f1-887c-514ef5cbdc5d · outbound

This paper cites Bellotti, T.

Bounds for Mertens Sums Bellotti, T

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:16:54.879006Z

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.

Observation 5a2422e7-2549-4894-b955-24227d7ed5f5 · outbound

This paper cites Bhattacharjee.

Bounds for Mertens Sums Bhattacharjee

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:16:54.857593Z

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.

Observation 25b69191-401b-42f1-9509-1b57ac07e399 · outbound

This paper cites Broadbent, H.

Bounds for Mertens Sums Broadbent, H

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:16:54.821023Z

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.

Observation cbe89c2e-6491-440a-99b8-31c7bcb9dbfb · outbound

This paper cites an unresolved cited work.

Bounds for Mertens Sums Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-06T00:16:54.793383Z

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.

Observation d0251ed2-b29d-4faa-9ed4-779ae89e0b33 · outbound

This paper cites Chirre and H.

Bounds for Mertens Sums Chirre and H

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:16:54.753185Z

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.

Observation c00b13c0-0ae3-4a29-af6e-5cf5000a8d35 · outbound

This paper cites Davenport.Multiplicative number theory, volume 74 ofGraduate Texts in Mathematics.

Bounds for Mertens Sums Davenport.Multiplicative number theory, volume 74 ofGraduate Texts in Mathematics

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T00:16:48.113220Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 75755e27-2247-4880-987e-7524b209e01a · outbound

This paper cites an unresolved cited work.

Bounds for Mertens Sums Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-06T00:16:54.704982Z

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.

Observation 234dd567-9024-4853-b2af-251281023741 · outbound

This paper cites an unresolved cited work.

Bounds for Mertens Sums Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-06T00:16:54.640799Z

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.

Observation af20e726-4110-49bf-ae16-934a2b5aa874 · outbound

This paper cites an unresolved cited work.

Bounds for Mertens Sums Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T00:16:48.431902Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4cca671c-efc1-4bbb-abeb-de484270008e · outbound

This paper cites Faber and H.

Bounds for Mertens Sums Faber and H

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:16:54.568195Z

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.

Observation c06ec56e-d5cf-4294-af5c-ba4e4b1d4d91 · outbound

This paper cites Fiori, H.

Bounds for Mertens Sums Fiori, H

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:16:54.502719Z

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.

Observation ad74435c-9462-4660-897d-b07b6124a295 · outbound

This paper cites Fiori, H.

Bounds for Mertens Sums Fiori, H

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:16:54.446891Z

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.

Observation 25afeb6e-dedb-4d6f-9f73-626f88f23996 · outbound

This paper cites Integrated explicit analytic number theory network.https://www.ipam.ucla.edu/news-research/special-projects/ integrated-explicit-analytic-number-theory-network/.

Bounds for Mertens Sums Integrated explicit analytic number theory network.https://www.ipam.ucla.edu/news-research/special-projects/ integrated-explicit-analytic-number-theory-network/

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:16:54.397979Z

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.

Observation 5688cb64-312a-4a5d-b588-8c446626800b · outbound

This paper cites an unresolved cited work.

Bounds for Mertens Sums Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-06T00:16:54.368560Z

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.

Observation f2b1d821-8b59-4327-901b-375d8a07d025 · outbound

This paper cites an unresolved cited work.

Bounds for Mertens Sums Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T00:16:54.341802Z

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.

Observation 6de89217-18a7-43a3-9762-0077945861c3 · outbound

This paper cites Kadiri, A.

Bounds for Mertens Sums Kadiri, A

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:16:54.313974Z

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.

Observation 99d37cc1-c59f-4528-9034-419dad9aa19c · outbound

This paper cites Lamzouri.

Bounds for Mertens Sums Lamzouri

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:16:54.293916Z

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.

Observation 44ae595c-d52f-407d-948b-400372d07f4d · outbound

This paper cites Landau.Handbuch der Lehre von der Verteilung der Primzahlen.

Bounds for Mertens Sums Landau.Handbuch der Lehre von der Verteilung der Primzahlen

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:16:54.234304Z

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.

Observation 7e036d1c-715e-4134-a195-736de5111086 · outbound

This paper cites an unresolved cited work.

Bounds for Mertens Sums Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-06T00:16:53.919094Z

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.

Observation a20a07a5-8479-49cf-b618-9866ea5307e0 · outbound

This paper cites an unresolved cited work.

Bounds for Mertens Sums Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-06T00:16:53.709130Z

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.

Observation 5db3f7b1-2804-48aa-869d-13d345b47f02 · outbound

This paper cites an unresolved cited work.

Bounds for Mertens Sums Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-06T00:16:53.434098Z

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.

Observation 016c6b18-cf64-4c2f-b2c5-0eb35dfed08e · outbound

This paper cites an unresolved cited work.

Bounds for Mertens Sums Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-06T00:16:53.127945Z

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.

Observation 6517ff17-3f61-4842-aa5b-8b4e1aa5c23e · outbound

This paper cites an unresolved cited work.

Bounds for Mertens Sums Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-06T00:16:49.884681Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e704cc52-ea89-4649-a3e8-5d007df7fe17 · outbound

This paper cites an unresolved cited work.

Bounds for Mertens Sums Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-06T00:16:52.922790Z

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.

Observation 64c82f59-d85d-4ba4-98da-7b4ab6c0447e · outbound

This paper cites an unresolved cited work.

Bounds for Mertens Sums Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-06T00:16:52.689636Z

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.

Observation acf9d3eb-0054-4502-805b-e7daa94322c0 · outbound

This paper cites Platt and T.

Bounds for Mertens Sums Platt and T

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:16:52.414891Z

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.

Observation 41afcdbe-44aa-4554-8ffb-75f747809641 · outbound

This paper cites Platt and T.

Bounds for Mertens Sums Platt and T

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:16:52.158448Z

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.

Observation 8b598ddc-eb28-475b-b3be-c28bccb100cb · outbound

This paper cites Ramar´ e.

Bounds for Mertens Sums Ramar´ e

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:16:51.882026Z

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.

Observation 690b2f50-b948-4fc3-9ca1-93b13ac75ffc · outbound

This paper cites Ramar´ e and Y.

Bounds for Mertens Sums Ramar´ e and Y

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:16:51.724148Z

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.

Observation 0564fd8b-1d89-4f87-8c76-768558ea6de5 · outbound

This paper cites Ramar´ e and S.

Bounds for Mertens Sums Ramar´ e and S

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:16:51.525043Z

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.

Observation 0899e41e-f62e-4c62-96a5-a6852ef77e91 · outbound

This paper cites an unresolved cited work.

Bounds for Mertens Sums Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-06T00:16:50.566437Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c1daf8e7-2edd-42f2-9b92-6a5c057ba746 · outbound

This paper cites Schoenfeld.

Bounds for Mertens Sums Schoenfeld

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:16:51.300083Z

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.

Observation 7252b8db-8e73-46e1-85c5-96feff828313 · outbound

This paper cites Vanlalngaia.

Bounds for Mertens Sums Vanlalngaia

Reference 34

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T00:16:51.107542Z

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.

Observation 43e42ecb-30da-4344-8ccf-4222b3babacd · outbound

This paper cites an unresolved cited work.

Bounds for Mertens Sums Unresolved cited work

Reference 1953

Resolution: unresolved; raw_fallback, observed 2026-08-06T00:16:54.181625Z

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.

Pith citing papers

No inbound Pith citation observations are available.