Pith. sign in

Paper Citation Record · LEDGER

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

As of 11 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 2026-08-10T06:31:04.303077+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=sha256:8bd09011bf289e1f3989e8797ec256c2cc65d69b926e572d59b2a8e9b45f23a2

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=sha256:98f7e6c698a9b0aed4541a1a94fda6730442b4c78830d65eb49ab00ed804cac7

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=sha256:0bde96349f9b89b993a1e642dd57061b698cce0fbce0fc480b31e0ceddc1e15e

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-11T04:33:24.256888Z digest=sha256:5c4c3892d5f5a30d240860122d54373039fc7294b21464a45f9df0ee2bc530f7

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=sha256:5b67078bcad4c0b58cdf5eaac87a2636d20521de80eeafe9bd4ae3bd9b655cb0

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-11T04:33:24.266338Z digest=sha256:86066cfbe0e2a847f07e40028d03bfcac634ab86e3f3ae4aa2647e1529ac6cd9

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:a6e4be8938bf9f41b06599148700898b49ef8aa65fbd49ade3a4f49a4634f08e

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-11T04:33:24.280516Z digest=sha256:2866d7695e0f6911ac8ace1a9a529109c337e1df7c9e006e3e5c59e26a5cdc05

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=sha256:8c41254e6ce2d1cff47863d2c022c66db0afe0cf5a0b3e1b3e640007c1ab4efd

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=sha256:355c20e12992e00f33f9c5d3161efb7d229a880262bfb6420cc5f7953cfcb517

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=sha256:97966f4e072141224802d2a4abdafa7be0e218dd69fbb9c658e09c65583bac59

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-11T04:33:24.316434Z digest=sha256:32e7f0b242b341d179fc45b39bd91c9f99278fd025837e237bc4ce5a2cc8c000

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=sha256:293463930748e5ab3ebc521f92767c9ec096e6cecc8f8979bf24c0a572fdd7e1

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:ff4ecc5680164a34d4ce630634f0888e91eb93d5438d0e09252d5f943102cfa7

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-11T04:33:24.421170Z digest=sha256:0bf64124cb499cbca8d9a97e42ffdc6b9857363de983abab35bbdcb41d4ecfae

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=sha256:2bec76fb6be18aa70b0687883c4cedc2699d5ee26abef42c4290724fbaa0cc87

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=sha256:73a25c93d8000555a5787a6f77a9c5f391aad7b4a5f9526e9671c06bc3bbe6e7

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-11T04:33:24.506446Z digest=sha256:63411c633f079054cfcef8b5d5cf8925c0378a19e94a42e621d92917c943b204

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-11T04:33:24.528256Z digest=sha256:1cc79ad28f0468c674028aa1d2d6ed7ff749a5eee98d2fee92fac0851d0f70d7

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=sha256:18e2e335960afe03b61edfaa4632827760c3e7af84540ad8c6dd96fc476bbb86

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-11T04:33:24.555343Z digest=sha256:9d90d192a54af63de553ee38d277521d3468afd79ec659b1b3eea1c32f347bc0

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-11T04:33:24.578321Z digest=sha256:aa3eed765dc9e5a72e8ccdfa28c25460ee42633f20f7a85629c26f5ee5001bea

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-11T04:33:24.597966Z digest=sha256:6419246f40eca289d1ff9751d2c97c78c50c3412049702a50cbafecefc73e1b5

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-11T04:33:24.624474Z digest=sha256:c8aacf46b63a46e6cd28f141d198476e47b7fe55ff2b18a243797829ea01baf3

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-11T04:33:24.636816Z digest=sha256:15178e22039e9042f30cd8afd023705f20c3764a5853c13973d4954ce5a09363

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-22T17:35:49.168113Z digest=sha256:07ee92439f16028497f4df7d1c3acc29b15bc314326451c399406bf0e60fa2c5

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=sha256:39bce05410d3f362c045de7646761684263db15ed9217f3c70eb9c7070aac59b