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Paper Citation Record · LEDGER

On strong law of large numbers for non identically distributed random variables

As of 22 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2506.07508.

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

pith.paper-citation-record.v1
2506.07508 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:43:00.999375Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

24 of 24 outbound references displayed

  • verified exact10
  • verified fuzzy11
  • unresolved2
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bdba2885-2ef5-4540-8270-5ceaabe8a466 · outbound

This paper cites Bernoulli, Ars Conjectandi, Basileae, Impensis Thurnisiorum, Fratrum, 1713.

On strong law of large numbers for non identically distributed random variables Bernoulli, Ars Conjectandi, Basileae, Impensis Thurnisiorum, Fratrum, 1713

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:43:01.912532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation f8ad64bd-86e4-4382-a7ce-9807122cf1bb · outbound

This paper cites Chebyshev [Tchebyshev], Des valuers moyennes, Journal de Math´ ematics Pures et Appliqu´ ees, 1867, vol.

On strong law of large numbers for non identically distributed random variables Chebyshev [Tchebyshev], Des valuers moyennes, Journal de Math´ ematics Pures et Appliqu´ ees, 1867, vol

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:43:01.886626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 348c8d26-a150-42bb-99de-542c588de6c2 · outbound

This paper cites an unresolved cited work.

On strong law of large numbers for non identically distributed random variables Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-07T05:43:00.884869Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:43:00.884869Z digest=sha256:a806c317da8dc7153c61272167e89eb471e489de2088ce71ec59c090dbc6c328

Observation cee2dd68-9ef2-4be4-a95a-f2701e0538f7 · outbound

This paper cites Cantelli, Sulla probabilit` a come limite della frequenza, Atti Ac- cad.

On strong law of large numbers for non identically distributed random variables Cantelli, Sulla probabilit` a come limite della frequenza, Atti Ac- cad

Reference 4

Resolution
verified exact
raw_fallback, observed 2026-08-07T05:43:01.677707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:43:00.890399Z digest=sha256:1f84c0f92d18eff4b2780aefcd99852f3dc48f262d04bf71385aa5c27d2b87d7

Observation 1286fc45-55cb-4b49-86e6-e0040c62f7ea · outbound

This paper cites Mazurkiewicz, O pewnem nog´ olneniu prawa wielkich liczb, Wiadomo´ sci matematycznych1, 1917, XXII, 69-82.

On strong law of large numbers for non identically distributed random variables Mazurkiewicz, O pewnem nog´ olneniu prawa wielkich liczb, Wiadomo´ sci matematycznych1, 1917, XXII, 69-82

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:43:01.864144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:43:00.896253Z digest=sha256:1974ef4c1f777f8c023c95e85ea840cf814ba8ef9422609f61a6556a1d5da894

Observation fbbb646c-992c-4162-b693-de19a68ee4e7 · outbound

This paper cites Rajchman, Zaostrzone prawo wielkich liczb, Mathesis Polska2, 1931, VI (7-8), 145 - 161.

On strong law of large numbers for non identically distributed random variables Rajchman, Zaostrzone prawo wielkich liczb, Mathesis Polska2, 1931, VI (7-8), 145 - 161

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:43:01.842696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:43:00.901849Z digest=sha256:51a94d5ad3283fa2ceb56ff3c2192e47c6c58616a53329d7a3301ff34222eab1

Observation 5ad3a248-a5b3-4018-b76b-a7e0ce7950a6 · outbound

This paper cites Chandra, Extensions of Rajchman’s Strong Law of Large Numbers.

On strong law of large numbers for non identically distributed random variables Chandra, Extensions of Rajchman’s Strong Law of Large Numbers

Reference 7

Resolution
verified exact
raw_fallback, observed 2026-08-07T05:43:01.585896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 4dae6ab7-d552-4e8d-b12e-f34f43523200 · outbound

This paper cites an unresolved cited work.

On strong law of large numbers for non identically distributed random variables Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:43:01.826247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation c04ab052-aed0-4b21-b91d-e1a822eea3e4 · outbound

This paper cites Etemadi, An elementary proof of the strong law of large numbers, Z.

On strong law of large numbers for non identically distributed random variables Etemadi, An elementary proof of the strong law of large numbers, Z

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:43:01.805179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation b44126a5-854b-451f-b807-3d36c94f7600 · outbound

This paper cites Cs¨ orgo, K.

On strong law of large numbers for non identically distributed random variables Cs¨ orgo, K

Reference 10

Resolution
verified exact
doi, observed 2026-08-07T05:43:01.148787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 4a13415c-2f52-44b0-bc76-e2920e96de9d · outbound

This paper cites Landers, L.

On strong law of large numbers for non identically distributed random variables Landers, L

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:43:01.787408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:43:00.929914Z digest=sha256:57466d1e9b2a83b72ec3ec4893f0209cac454c4641750cf02fd0780eec976396

Observation e192ce66-2c25-4211-9bc6-fe2dd9d62003 · outbound

This paper cites Landers, L.

On strong law of large numbers for non identically distributed random variables Landers, L

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:43:01.771114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:43:00.935461Z digest=sha256:30c20ea9d927622a7f917c0f2c8771c28c41d245a408fa1d4d87fbbc76708b1d

Observation c00b9893-d279-4924-9736-ae4a486fd959 · outbound

This paper cites Bose, T.K.

On strong law of large numbers for non identically distributed random variables Bose, T.K

Reference 13

Resolution
verified exact
doi, observed 2026-08-07T05:43:01.126469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation f87b2f17-b781-4d61-9f89-0a341ede8f17 · outbound

This paper cites Chandra, Uniform Integrability in the Ces` aro Sense and the Weak Law of Large Numbers, Sankhy¯ a: The Indian Jour- nal of Statistics, Series A (1961-2002), 1989, 51(3), 309 - 317.

On strong law of large numbers for non identically distributed random variables Chandra, Uniform Integrability in the Ces` aro Sense and the Weak Law of Large Numbers, Sankhy¯ a: The Indian Jour- nal of Statistics, Series A (1961-2002), 1989, 51(3), 309 - 317

Reference 14

Resolution
verified exact
raw_fallback, observed 2026-08-07T05:43:01.500319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:43:00.947893Z digest=sha256:c4412c9dcd6e250ae2359e2c09afdfda56293a6aede4baec59e58fa2eee66bb8

Observation 875d0ed6-c299-4723-b7e5-5e7b5acedd51 · outbound

This paper cites Chandra, A.

On strong law of large numbers for non identically distributed random variables Chandra, A

Reference 15

Resolution
verified exact
raw_fallback, observed 2026-08-07T05:43:01.423381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:43:00.953444Z digest=sha256:093986cf0c9b4cba78e0d306b185dbfafd7ba31ca4cc0b90dd11c5402bf59c42

Observation 3e220ceb-5083-4ba5-805f-5400b0b38065 · outbound

This paper cites Chandra, Laws of large numbers, Narosa, New Delhi et al., 2012.

On strong law of large numbers for non identically distributed random variables Chandra, Laws of large numbers, Narosa, New Delhi et al., 2012

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:43:01.749909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 0beaf5e8-71c3-42c5-8861-508ee21ee785 · outbound

This paper cites Seneta, On the History of the Strong Law of Large Numbers and Boole’s Inequality, Historia Mathematica, 1992, 19(1), 24 - 39.

On strong law of large numbers for non identically distributed random variables Seneta, On the History of the Strong Law of Large Numbers and Boole’s Inequality, Historia Mathematica, 1992, 19(1), 24 - 39

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:43:01.733462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation fa299fd8-cdcf-4b0f-a62f-b1b6b2bd1dd3 · outbound

This paper cites an unresolved cited work.

On strong law of large numbers for non identically distributed random variables Unresolved cited work

Reference 18

Resolution
malformed identifier
doi_truncated, observed 2026-08-07T05:43:01.106452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation c6749cd5-3e36-47a7-af86-ac4bcbad7ad4 · outbound

This paper cites Shiryaev, On the bicentenary of the birth of P.

On strong law of large numbers for non identically distributed random variables Shiryaev, On the bicentenary of the birth of P

Reference 19

Resolution
verified exact
doi, observed 2026-08-07T05:43:01.084484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 59c54c42-bdc1-4e0a-b7c7-58f28f8f3305 · outbound

This paper cites an unresolved cited work.

On strong law of large numbers for non identically distributed random variables Unresolved cited work

Reference 20

Resolution
verified exact
doi, observed 2026-08-07T05:43:01.064160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation b79ae3e8-3a5c-4366-b554-addaa64b5315 · outbound

This paper cites Marcinkiewicz, A.

On strong law of large numbers for non identically distributed random variables Marcinkiewicz, A

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:43:01.717626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:43:00.983531Z digest=sha256:89e7377bd76867c07180b8624962835cd71e580affd6ba442b57a946f4e54759

Observation a02da49c-e91a-4bda-a784-0a034eb1a4da · outbound

This paper cites Sawyer, Maximal Inequalities of Weak Type, Annals of Mathematics, Second Series, 1966, 84(2), 157 - 174.

On strong law of large numbers for non identically distributed random variables Sawyer, Maximal Inequalities of Weak Type, Annals of Mathematics, Second Series, 1966, 84(2), 157 - 174

Reference 22

Resolution
verified exact
raw_fallback, observed 2026-08-07T05:43:01.313879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:43:00.988786Z digest=sha256:346add59691698c82ac53e7e695a6eb19a2d5101adf5b8b79920aedb47e3470d

Observation 4a72e077-aaa1-44e1-8e93-96c679bf7e49 · outbound

This paper cites Korchevsky, On the Strong Law of Large Numbers for sequences of pairwise independent random variables, J.

On strong law of large numbers for non identically distributed random variables Korchevsky, On the Strong Law of Large Numbers for sequences of pairwise independent random variables, J

Reference 23

Resolution
verified exact
doi, observed 2026-08-07T05:43:01.041505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 56160c2c-55da-4e6c-bef5-a6ed26e6d739 · outbound

This paper cites Shiryaev, Probability (2nd ed.).

On strong law of large numbers for non identically distributed random variables Shiryaev, Probability (2nd ed.)

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:43:01.698012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:43:00.999375Z digest=sha256:f7a79f4f8eea3c71b0983f66dcfa0106648dbedbd3eae9fa804966b105dbe06a

Pith citing papers

No inbound Pith citation observations are available.