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Paper Citation Record · LEDGER

On decomposition problem for distribution functions of class $\boldsymbol{Q}$

As of 17 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 2 inbound Pith citation observations for arXiv:2412.18915.

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

pith.paper-citation-record.v1
2412.18915 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T04:33:24.636816Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:09:49.753340Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-22T17:36:52.808061Z

Reference resolution

25 of 25 outbound references displayed

  • verified exact1
  • verified fuzzy5
  • unresolved19
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8d55579e-7ce1-4915-ac22-1064cc9bf916 · outbound

This paper cites an unresolved cited work.

On decomposition problem for distribution functions of class $\boldsymbol{Q}$ Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-11T04:33:24.240304Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T04:33:24.240304Z digest=sha256:c34a674a38691737f8edd97580adf30bb5158596dc58d0c6eda566773b342341

Observation 9a1adcec-6cd1-4822-b718-018a7be8044f · outbound

This paper cites Applebaum, L´ evy Processes and Stochastic Calculus, Camb.

On decomposition problem for distribution functions of class $\boldsymbol{Q}$ Applebaum, L´ evy Processes and Stochastic Calculus, Camb

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-11T04:33:24.245182Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T04:33:24.245182Z digest=sha256:9f7c9cd887d33bf6ea3efb035f0f8d6e743a660f907d2e6f27d84286321273af

Observation c90b7fae-8b55-4b97-9ea0-2476a63fd8c1 · outbound

This paper cites Berger, On quasi-infinitely divisible distributions with a point ma ss, Math.

On decomposition problem for distribution functions of class $\boldsymbol{Q}$ Berger, On quasi-infinitely divisible distributions with a point ma ss, Math

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-11T04:33:24.250862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T04:33:24.250862Z digest=sha256:4cc8424fb5c0bf6a0047e752c44feba61f40c3f4e8213c43f356d64454de1e7f

Observation 3f21025c-ee23-4cdd-96cb-63c4e81f009c · outbound

This paper cites Berger, M.

On decomposition problem for distribution functions of class $\boldsymbol{Q}$ Berger, M

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:33:25.245100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T04:33:24.256888Z digest=sha256:b233d502987f368046540475555fc052083f3aab89b377fd4b6692722e9a87ca

Observation e441155a-a0d9-41c1-bd39-4a9852d99593 · outbound

This paper cites Chhaiba, N.

On decomposition problem for distribution functions of class $\boldsymbol{Q}$ Chhaiba, N

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-11T04:33:24.260664Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T04:33:24.260664Z digest=sha256:d8e318625f27bda89cbc34a6ad32180f6c57bc2b95fb5107ed98cc4cc0e3fca5

Observation 1b5f759b-c09d-4bcc-83d3-59292d5deedc · outbound

This paper cites Cuppens, Decompositions of Multivariate Probabilities , Academic Press, New-York–London, 1975.

On decomposition problem for distribution functions of class $\boldsymbol{Q}$ Cuppens, Decompositions of Multivariate Probabilities , Academic Press, New-York–London, 1975

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:33:25.199662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T04:33:24.266338Z digest=sha256:ef8cd54033be005b84a547b2b60e8afc9062b87b9ae72727c2dac49b878d2d94

Observation 8d45bd59-e3db-44f4-97ad-1a2cfebdc476 · outbound

This paper cites an unresolved cited work.

On decomposition problem for distribution functions of class $\boldsymbol{Q}$ Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-11T04:33:24.273797Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T04:33:24.273797Z digest=sha256:a325d8567944807d6807e7793e7517ec9cb85ca59bea21389d665367112c2512

Observation d2639e2f-910e-4881-8acb-76532568ef9e · outbound

This paper cites an unresolved cited work.

On decomposition problem for distribution functions of class $\boldsymbol{Q}$ Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-11T04:33:25.147370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T04:33:24.280516Z digest=sha256:6cdfe22203859f1c4b7cbe81f46b2030c19df276bcc4c98731e5a03c92472aab

Observation 50ac06b2-0e40-44d7-be17-0a14a8c36d8b · outbound

This paper cites an unresolved cited work.

On decomposition problem for distribution functions of class $\boldsymbol{Q}$ Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-11T04:33:24.283901Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T04:33:24.283901Z digest=sha256:5cb9d0233508945fe5d124f4c28e77a118f5f6124872baab186c9367b5ccc0a8

Observation 60811e04-28bd-4a2d-8a57-2ddefbc9cdae · outbound

This paper cites an unresolved cited work.

On decomposition problem for distribution functions of class $\boldsymbol{Q}$ Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-11T04:33:24.287386Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T04:33:24.287386Z digest=sha256:03da5134a4e07c94e655337c070bade0de87561cb0760072a48cfcc8f520f85b

Observation 6edf3a79-2076-467b-b0f9-944fcef4456b · outbound

This paper cites Some criteria of rational-infinite divisibility for probability laws.

On decomposition problem for distribution functions of class $\boldsymbol{Q}$ Some criteria of rational-infinite divisibility for probability laws

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-11T04:33:24.291134Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T04:33:24.291134Z digest=sha256:ebf9d603d7c3db0060efb7b40e097351799940d9288e2fbc103304cb3e3eef3f

Observation 9fea5285-5ae9-4e8b-a7a5-fd8be8ee8c94 · outbound

This paper cites an unresolved cited work.

On decomposition problem for distribution functions of class $\boldsymbol{Q}$ Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-11T04:33:25.056994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T04:33:24.316434Z digest=sha256:8448ce1e0c6d8d1bc111edb54bb9ff5f96fe967c70d3fabf9efd93aa8fb7db56

Observation 09f1a204-d49e-4c69-be97-d0f4a379d3eb · outbound

This paper cites an unresolved cited work.

On decomposition problem for distribution functions of class $\boldsymbol{Q}$ Unresolved cited work

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-11T04:33:24.346876Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T04:33:24.346876Z digest=sha256:6d63b401572057c5c4be40f1fa065b49128a074329eeb21999710523af77c564

Observation a5bd7f38-6c2b-4e70-a0e0-fdd414e22537 · outbound

This paper cites Lindner, L.

On decomposition problem for distribution functions of class $\boldsymbol{Q}$ Lindner, L

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-11T04:33:24.385442Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T04:33:24.385442Z digest=sha256:92f7b14aa1f83a426c7a96c9fc740b45b8378fffa181803a4c5389d5c77b11ee

Observation 3e9ecfc0-5616-489d-b012-7d00d2438b62 · outbound

This paper cites an unresolved cited work.

On decomposition problem for distribution functions of class $\boldsymbol{Q}$ Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-11T04:33:24.960429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T04:33:24.421170Z digest=sha256:89b01f2b6094ab12f0bc8b84d7269450b60a8240553c22c24e47c24af38a8bcd

Observation 1bd95d3a-3262-44d6-9f7f-afa838379e20 · outbound

This paper cites Lukacs, Characteristic Functions, Griffin, London, 1970.

On decomposition problem for distribution functions of class $\boldsymbol{Q}$ Lukacs, Characteristic Functions, Griffin, London, 1970

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-11T04:33:24.471953Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T04:33:24.471953Z digest=sha256:3d58e0e8195b95de64e14db8a776bfba2b2a99a0a7b8b15fe0657fdccfd104aa

Observation 9c2d7a3e-18f1-413c-a945-603e1eb9cde0 · outbound

This paper cites Nakamura, A complete Riemann zeta distribution and the Riemann hypoth esis, Bernoulli 21 (2015), 1, 604–617.

On decomposition problem for distribution functions of class $\boldsymbol{Q}$ Nakamura, A complete Riemann zeta distribution and the Riemann hypoth esis, Bernoulli 21 (2015), 1, 604–617

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-11T04:33:24.488269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T04:33:24.488269Z digest=sha256:a870019bd658fcc7cfab2991e4d10925c1947ca591ada2fb75a3eb049265500f

Observation 7c1d412a-0a0a-4c88-aa0e-e1eeb79a56ea · outbound

This paper cites V.Ostrovskij, P.

On decomposition problem for distribution functions of class $\boldsymbol{Q}$ V.Ostrovskij, P

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:33:24.855636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T04:33:24.506446Z digest=sha256:1ada33916e2379f5117266decb2f8e2f58a7e3b58802842efc6997cf422d9a80

Observation 13fa848e-1622-4b4e-a5ea-817b86f3365c · outbound

This paper cites an unresolved cited work.

On decomposition problem for distribution functions of class $\boldsymbol{Q}$ Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-11T04:33:24.789337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T04:33:24.528256Z digest=sha256:8f3e563d85238152d1105cd7002dc1ca5a4954a6de1cfc5288e6b85b9c7855cd

Observation 1f75f3b5-9300-4136-a141-3575816df816 · outbound

This paper cites Sato, L´ evy Processes and Infinitely Divisible Distributions, Camb.

On decomposition problem for distribution functions of class $\boldsymbol{Q}$ Sato, L´ evy Processes and Infinitely Divisible Distributions, Camb

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-11T04:33:24.545642Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T04:33:24.545642Z digest=sha256:a365eb794360e1beab5b716c774bfa2f87d8782f38083be47ee2a0dad26f3d1d

Observation 3cdfa41e-a3d3-4597-8b8a-fc3fb26bdf72 · outbound

This paper cites Schoutens, L´ evy Processes in Finance: Pricing Financial Derivatives, Wiley, Chichester, 2003.

On decomposition problem for distribution functions of class $\boldsymbol{Q}$ Schoutens, L´ evy Processes in Finance: Pricing Financial Derivatives, Wiley, Chichester, 2003

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:33:24.765159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T04:33:24.555343Z digest=sha256:3ab827a5ac362580a200c0b2cdd4a487172d79f919ca140ad1d2eaadebf6decd

Observation 663aac47-2f29-456e-8f18-712794ed8ffb · outbound

This paper cites Vague and basic convergence of signed measures.

On decomposition problem for distribution functions of class $\boldsymbol{Q}$ Vague and basic convergence of signed measures

Reference 22

Resolution
verified exact
local_arxiv, observed 2026-08-11T04:33:24.691069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T04:33:24.578321Z digest=sha256:1489c57f77344b1bdef5d31a94371fcfe3c070bd51982c387ee02c0ce8917a7c

Observation 4e12566f-66d4-4578-b55f-2dfa7fcd0959 · outbound

This paper cites Zhang, Y.

On decomposition problem for distribution functions of class $\boldsymbol{Q}$ Zhang, Y

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:33:24.749543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T04:33:24.597966Z digest=sha256:91d12a0b8f7b8b26199aa0a2e3149a30bce65a69dda54933554e7d55cca85169

Observation 0abc2cca-a611-45f1-a3b8-0e0d97a5f0f0 · outbound

This paper cites an unresolved cited work.

On decomposition problem for distribution functions of class $\boldsymbol{Q}$ Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-11T04:33:24.739193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T04:33:24.624474Z digest=sha256:3e654b3fa0c5e5b484b59c902279bbb8e1eff270c8e7933f118e6f9440305a74

Observation 39af5a51-6521-4c77-a8dc-76204d4a607e · outbound

This paper cites an unresolved cited work.

On decomposition problem for distribution functions of class $\boldsymbol{Q}$ Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-11T04:33:24.724929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T04:33:24.636816Z digest=sha256:a5ce292c91c6b89abab4dbf1d3ad72507adcbf222ae47ba8772eed6307e3bf62

Pith citing papers

Observation f500ce97-9ff4-4261-8d97-ef8be6a1ab6d · inbound

The class $\boldsymbol{Q}$ and mixture distributions with dominated continuous singular parts cites this paper.

The class $\boldsymbol{Q}$ and mixture distributions with dominated continuous singular parts On decomposition problem for distribution functions of class $\boldsymbol{Q}$

Reference 21

Resolution
verified exact
arxiv_id, observed 2026-05-22T17:36:52.811415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-22T17:35:49.168113Z digest=sha256:32eadd3363ed9974f38931d2ba0569515c8045816646744f3a4b51ef63e27de2

Observation 76dbeffa-470f-4afc-a3b6-4db5f2a73cc5 · inbound

Invertible Complex Measures on Euclidean Spaces cites this paper.

Invertible Complex Measures on Euclidean Spaces On decomposition problem for distribution functions of class $\boldsymbol{Q}$

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-07T05:09:49.753340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:09:49.753340Z digest=sha256:e716196450c279c77040bc392517d3d7879a22595c3489101224d71741241186