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Paper Citation Record · LEDGER

Bounds for Mertens Sums

As of 11 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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T00:16:47.495630Z digest=sha256:e2c76e57491add3530b7142cc855f3971ca021836f400e394b57afa4bcee06df

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T00:16:47.588050Z digest=sha256:4669fb03718f215d7d4ecbe027b9eebb87485cc38c4054670f784aaae3e00e5e

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T00:16:47.688138Z digest=sha256:e0cb1680bbf9e6407dcf2099d63df607889b3bd7316f3ba5a498a9040089d398

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T00:16:47.864165Z digest=sha256:4a6203430241fc626bfbdf9caac8689aa97f7a56ac22eb65b7395f6e6a471384

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T00:16:48.009024Z digest=sha256:f6919409542286f3875c3efcca6090ee74e4284a61f1432def732aa7f03c6317

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T00:16:48.054364Z digest=sha256:4fee9e8c879f541dff60809edeb51773acd176e97556f7af0093c743b957a2f9

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.

source=pdf_text observed=2026-08-06T00:16:48.113220Z digest=sha256:15717ffa5808d3287c427cf4fed19cfd01235d8320a0db5ad85d0131ec3d017e

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T00:16:48.214312Z digest=sha256:9db77af966f4c85717ce5cb61dbb0af85b9bbfbba9a69719dc9e34126a0b76b3

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T00:16:48.320465Z digest=sha256:c7a1ab265f7a6fec7c6d9e432689b9e455177a2c1ed79eb46f8c6e8c31eef517

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.

source=pdf_text observed=2026-08-06T00:16:48.431902Z digest=sha256:0838972597a052a50764237c5b243ebdebc9ee26735d845868d98f82ff8be601

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T00:16:48.528625Z digest=sha256:cd877820d251e17024422017cd80fa404d9c4f519f053348928258189e1b49f0

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T00:16:48.619095Z digest=sha256:5b7ce2a86a1743cb6bbfd44dedb2dff0b597c29cb0a1a5781770a36fa1bcac26

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T00:16:48.766571Z digest=sha256:c7280ff34bd950d154ec7873e26b0e91282d2c825b38ea84dcdf5d851267da1a

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T00:16:48.861651Z digest=sha256:a0e4a684304c8236a3167ab56bc630db6e29b73ed368fbd6e963f6974d57fc45

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T00:16:48.984075Z digest=sha256:bfd443c6fad172236d497394b13ab0e0737be968e2519c4c5fb38952ab0faa4c

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T00:16:49.081642Z digest=sha256:f1af192f95722159c14e36dff7732d328cc95bc9ebc5ed650914df13c299afab

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T00:16:49.177739Z digest=sha256:ceaac909fc78351539d3f89ce428423c628b1f9531d8f1f8c5acf76efff54a4d

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T00:16:49.265100Z digest=sha256:6cffc62884f736cf58738834609f5c5640115a5b31157f26cd7df031c917d162

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T00:16:49.341472Z digest=sha256:9cc5d6297f7449862d4c65219cfa90112fbe0e026ba5e3221faf5c1e8ed7498e

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T00:16:49.495747Z digest=sha256:e7807146d4e7c787ca8378603214d30c2005d7b507735d95b572a8491aa40308

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T00:16:49.591708Z digest=sha256:d0505a0ba00dbed572130d6516d588d30bb2d716355cd206ea62ed65d5408ada

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T00:16:49.647549Z digest=sha256:daaead903c6c7a61557610a165ded46d4858e08d1dd2bf5db19a7bf6051f265e

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T00:16:49.795562Z digest=sha256:63a41e8ae29f28db0a537e830247eec7f1876a76482ec8980e5d80404c5b4d64

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.

source=pdf_text observed=2026-08-06T00:16:49.884681Z digest=sha256:47366ee972ce81dc32597634920415c7e02b115c515e45f8b611a22620dc42a4

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T00:16:49.973384Z digest=sha256:6ca8524bae1a23c27340fb05d2ef46ced4baf05dccf36c5575b5929ce9d86279

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T00:16:50.059782Z digest=sha256:09d52687c8a4188c4eee0d305c64726a4f955c89c538296e97c87788757d6efd

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T00:16:50.132824Z digest=sha256:327ff7b01177e441a1badc5b5070880555476bad44d3597421f6e96abd8468c4

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T00:16:50.211163Z digest=sha256:98e6fc22f902dba378a68f6917d48a653fe3667aeaf0ecc2a1623be28e0ae9ba

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T00:16:50.288207Z digest=sha256:cb0e3a345dda43f46f0d766bf559eeb7fb54a7e40a8765807358d0477cb08425

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T00:16:50.375912Z digest=sha256:5bd9a18e3fa16addd75e7c406f2f57de2555de59c1b395c40f299ead07b51180

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T00:16:50.464254Z digest=sha256:677c47fa6ea8bc18494790bdfe1516e3efdd4da6c6ac19b35abaf3bcd427e3ba

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.

source=pdf_text observed=2026-08-06T00:16:50.566437Z digest=sha256:82197a67c6aeec4ded27b24b03321817c02346b8ca2973889ea0b1b228ccdf87

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T00:16:50.689406Z digest=sha256:a1c2c4da39c3021b90016d2396ae5842531590a7492e0363bda0bdd4f1502763

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T00:16:50.750777Z digest=sha256:f5baa5b1d8b945d22311c6aae6724d4cdc2d36587cf8f4c220b3ad9c3b764e1a

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T00:16:49.404875Z digest=sha256:f718524a1929fd68289d32dfd0ed969433b60fb383f24e600b65c0c3cf1764f5

Pith citing papers

No inbound Pith citation observations are available.