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Paper Citation Record · LEDGER

On the distribution of the number of distinct generators of h-free and h-full elements in an abelian monoid

As of 8 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2506.01030.

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

pith.paper-citation-record.v1
2506.01030 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:06:00.895183Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

19 of 19 outbound references displayed

  • verified exact0
  • verified fuzzy5
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a5eaa66a-d176-4bcf-b5fc-64c948371be7 · outbound

This paper cites Alladi and P.

On the distribution of the number of distinct generators of h-free and h-full elements in an abelian monoid Alladi and P

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:06:02.079008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:05:59.618096Z digest=sha256:cffc8833499b0bb7e29279300254073cc1ea4286ba0f4eab169156313f2e6a63

Observation c6d5f322-c8af-49bf-8d05-258303ef7385 · outbound

This paper cites an unresolved cited work.

On the distribution of the number of distinct generators of h-free and h-full elements in an abelian monoid Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:06:01.854677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:05:59.692921Z digest=sha256:8c145b36800cff872ce658f8dfa66e3a80931525b9e80c79bd4652efbce7a14b

Observation 893ffb02-ff5c-4544-a8d6-3ec68cb4394f · outbound

This paper cites an unresolved cited work.

On the distribution of the number of distinct generators of h-free and h-full elements in an abelian monoid Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-07T12:05:59.760507Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:05:59.760507Z digest=sha256:71db1c52028dc71eb92971754c7b79230a2f49fdf0023a0835b69eb1933330df

Observation d884612b-7dde-469b-bef5-f01e30690e8e · outbound

This paper cites an unresolved cited work.

On the distribution of the number of distinct generators of h-free and h-full elements in an abelian monoid Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-07T12:05:59.840940Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:05:59.840940Z digest=sha256:6a68d4dbce537859e8ff9e8c48217af58e30e27693571f7668d9bf54ebdaf4e8

Observation 43a19782-b0f3-4081-928f-6dccd1df07d4 · outbound

This paper cites an unresolved cited work.

On the distribution of the number of distinct generators of h-free and h-full elements in an abelian monoid Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-07T12:05:59.887696Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:05:59.887696Z digest=sha256:3872156d6625a91b8e3b13b3db038cb615a1d6e74ce86d5b1de6e87eea57a68a

Observation 41707d35-361b-44cb-aec5-1e1d410a2753 · outbound

This paper cites an unresolved cited work.

On the distribution of the number of distinct generators of h-free and h-full elements in an abelian monoid Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:06:01.703366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:05:59.967203Z digest=sha256:3d610d8f85244831b824d3f92d974fbee4b23798cbadf15c2b67725faf0d2d53

Observation 62f4eef0-f071-46f7-9d06-64b6eb1962dc · outbound

This paper cites an unresolved cited work.

On the distribution of the number of distinct generators of h-free and h-full elements in an abelian monoid Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:06:01.621779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:06:00.035653Z digest=sha256:6bfe3d275814ef214bc6bd0efa7b8ff19feb7275fdeaf14c6527deef61741096

Observation 325b68ac-e1dd-4dbd-8627-d4b5833b189f · outbound

This paper cites Ivić and P.

On the distribution of the number of distinct generators of h-free and h-full elements in an abelian monoid Ivić and P

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:06:01.492744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:06:00.127922Z digest=sha256:92bd1ecd860f37e292543b5866b018c4186209dc1edea1e693f96e0b47e42b38

Observation a698c181-cf93-44bb-90ed-aa7574cfcf45 · outbound

This paper cites Jakimczuk and M.

On the distribution of the number of distinct generators of h-free and h-full elements in an abelian monoid Jakimczuk and M

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:06:01.403302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:06:00.205712Z digest=sha256:e7ac4da4b312c91cdaf5efebfed099372cca91b68e1934f5a7775e2b56f16eb1

Observation 834dbf54-fff0-4024-bbe1-10bb1c564038 · outbound

This paper cites Jakimczuk and M.

On the distribution of the number of distinct generators of h-free and h-full elements in an abelian monoid Jakimczuk and M

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-07T12:06:00.345745Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:06:00.345745Z digest=sha256:81a90240563510995028859602bf8238926fb17a9630e8af669826c9ad2ca28e

Observation a0a17b65-2e44-40c5-b336-f602e09defd2 · outbound

This paper cites Knopfmacher.

On the distribution of the number of distinct generators of h-free and h-full elements in an abelian monoid Knopfmacher

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:06:01.294120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:06:00.437269Z digest=sha256:e2be044afc18e61bf8fdb85c25e456f2711a959cdb6f39993a6020683e73ec0f

Observation e57502f2-c627-4442-8929-c146fb5673d3 · outbound

This paper cites Knopfmacher.

On the distribution of the number of distinct generators of h-free and h-full elements in an abelian monoid Knopfmacher

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-07T12:06:00.473045Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:06:00.473045Z digest=sha256:227ddc940c5161fd094eb91091f95d2cb60c264245ac6656371b9cec980579dd

Observation dd89fb49-27b9-4f57-a0a4-de3d356adfb3 · outbound

This paper cites Lalín and Z.

On the distribution of the number of distinct generators of h-free and h-full elements in an abelian monoid Lalín and Z

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-07T12:06:00.508789Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:06:00.508789Z digest=sha256:8dfb492cb885ee1117a62c398d10090220556044c78e3df9e0585cc4a7984d29

Observation 234a569c-70fb-44d9-8942-1d4f5de6a2d6 · outbound

This paper cites an unresolved cited work.

On the distribution of the number of distinct generators of h-free and h-full elements in an abelian monoid Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-07T12:06:00.568261Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:06:00.568261Z digest=sha256:32f9f3da08edab5fa686ec714ef01793831e10c9310f16f647b9d419721dfe72

Observation 08d67ba2-e0fe-4126-82a3-e86d3f922429 · outbound

This paper cites an unresolved cited work.

On the distribution of the number of distinct generators of h-free and h-full elements in an abelian monoid Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-07T12:06:00.631242Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:06:00.631242Z digest=sha256:36cdb7e574552a5f4550ab39ed64cc611962f867434c6444d1bb0cd79bde2e7a

Observation a3c69091-79a0-487e-b12e-2ea5c6ad6184 · outbound

This paper cites an unresolved cited work.

On the distribution of the number of distinct generators of h-free and h-full elements in an abelian monoid Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-07T12:06:00.679746Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:06:00.679746Z digest=sha256:b17fe0586ea2d6326562d1e577611ecb7e2313619007a31aec0acf67377563ff

Observation 50e93fdf-a507-4242-ba38-c67d57383329 · outbound

This paper cites an unresolved cited work.

On the distribution of the number of distinct generators of h-free and h-full elements in an abelian monoid Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-07T12:06:00.736461Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:06:00.736461Z digest=sha256:6fe7af08198d667623d0bc6bbf42288666ad7ee0aa01597b679e9171b4a2d281

Observation faec8b84-28d5-46ae-bc6f-b3fc41f1fbb8 · outbound

This paper cites Lorenzini.

On the distribution of the number of distinct generators of h-free and h-full elements in an abelian monoid Lorenzini

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:06:01.115173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:06:00.835719Z digest=sha256:a33af87eb96278b3ccc792089d0e49edbf6f5e5019ed57553c0c026bf16e18b1

Observation f6579720-7384-465e-b059-4256b563f0c3 · outbound

This paper cites an unresolved cited work.

On the distribution of the number of distinct generators of h-free and h-full elements in an abelian monoid Unresolved cited work

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-07T12:06:00.895183Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:06:00.895183Z digest=sha256:70d2da365d655693ff88377b510dfb4a0b8e401365172801ae80df9319d87e6d

Pith citing papers

No inbound Pith citation observations are available.