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Paper Citation Record ยท LEDGER

PAD\'E FILTERING, Principles and Use: an Introductory Report

As of 18 August 2026, this Paper Citation Record lists 5 of 5 outbound references and 0 inbound Pith citation observations for arXiv:2412.08254.

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

pith.paper-citation-record.v1
2412.08254 v1

Coverage vector

measured 5 of 5 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T18:09:23.141212Z

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

5 of 5 outbound references displayed

  • verified exact0
  • verified fuzzy5
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 11d135bb-38f5-4a90-8c74-8fe7a2aad013 ยท outbound

This paper cites ,โ€ฆ,๐›ฟ),โ€ฆ,๐›ฟ!$# } such that ๐‘‘)= ๐œ‡+ ๐œŽ๐›ฟ) . The ๐›ฟ)โ€™s are rrv, iid according to ๐’ฉ(0,1) and, for any ๐‘, the z-transform of the ๐‘‘)โ€™ can be rewritten ๐‘‡!{4}(๐‘ง) = ๐œ‡ + ๐‘ง๐œ‡ +โ‹ฏ+๐‘ง!$#๐œ‡+ ๐œŽ[๐›ฟ.

PAD\'E FILTERING, Principles and Use: an Introductory Report ,โ€ฆ,๐›ฟ),โ€ฆ,๐›ฟ!$# } such that ๐‘‘)= ๐œ‡+ ๐œŽ๐›ฟ) . The ๐›ฟ)โ€™s are rrv, iid according to ๐’ฉ(0,1) and, for any ๐‘, the z-transform of the ๐‘‘)โ€™ can be rewritten ๐‘‡!{4}(๐‘ง) = ๐œ‡ + ๐‘ง๐œ‡ +โ‹ฏ+๐‘ง!$#๐œ‡+ ๐œŽ[๐›ฟ

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T18:09:23.267497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T18:09:23.115888Z digest=sha256:1fbeeb64faa780b749799db91b08040a1a9f0b9e791a5174584f06056dbe8d66

Observation fdae998f-ff5f-473d-9c93-8371de6a5a1a ยท outbound

This paper cites + ๐‘# ๐‘ง, ๐‘„# (๐‘ง )= 1+ ๐‘ž# ๐‘ง. The nodes are denoted ๐‘ง#=๐‘”โˆ’1,๐‘ง-=๐‘”+๐‘’, ๐‘ง8=๐‘”+1, allowing for irregular spacing. Finally, the set of equations is a 3x3 inhomogeneous linear system for ๐‘.

PAD\'E FILTERING, Principles and Use: an Introductory Report + ๐‘# ๐‘ง, ๐‘„# (๐‘ง )= 1+ ๐‘ž# ๐‘ง. The nodes are denoted ๐‘ง#=๐‘”โˆ’1,๐‘ง-=๐‘”+๐‘’, ๐‘ง8=๐‘”+1, allowing for irregular spacing. Finally, the set of equations is a 3x3 inhomogeneous linear system for ๐‘

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T18:09:23.249617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T18:09:23.123631Z digest=sha256:226426dc1c922fb2bd86d5fd877bd1ea9918460206cb9a39fb26040fbd013c5b

Observation 865e3ed4-eade-41db-8f29-3405d969b7f4 ยท outbound

This paper cites โˆˆโ„โˆ— ๐‘›=0 ,...๐‘โˆ’1 32 and their z-Transform satisfies Ti(z)= d.

PAD\'E FILTERING, Principles and Use: an Introductory Report โˆˆโ„โˆ— ๐‘›=0 ,...๐‘โˆ’1 32 and their z-Transform satisfies Ti(z)= d

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T18:09:23.232648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T18:09:23.129822Z digest=sha256:f01a617779ef7aadbbd656fe6d8d49917a5acbc36434ac780c1628d498428631

Observation 5a9aee7d-4a4d-423b-9ac6-bf0b1b7e2efa ยท outbound

This paper cites = ๐‘‡ย๐‘‡ ; ๐‘‡|.

PAD\'E FILTERING, Principles and Use: an Introductory Report = ๐‘‡ย๐‘‡ ; ๐‘‡|

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T18:09:23.216547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T18:09:23.135459Z digest=sha256:c27de359c5eabd43c33d664c783384acda7124e365fb7b74513e7071853f1867

Observation e51fdeb8-249d-49f6-a6a4-3f5f94546864 ยท outbound

This paper cites Dealing with the singularities of analytic functions.

PAD\'E FILTERING, Principles and Use: an Introductory Report Dealing with the singularities of analytic functions

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T18:09:23.200086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T18:09:23.141212Z digest=sha256:752571db11f4265f1ed4f0d9d7baa4416b21d82dea31144c6174dd0a2a0ee971

Pith citing papers

No inbound Pith citation observations are available.