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Paper Citation Record · LEDGER

OpenMP parallelization of multiple precision Taylor series method

As of 16 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:1908.09301.

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

pith.paper-citation-record.v1
1908.09301 v1

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:20:06.833378Z

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

10 of 10 outbound references displayed

  • verified exact0
  • verified fuzzy8
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4d536ab6-5813-4f9a-a190-e4084fbba2bf · outbound

This paper cites ”On the reliability of computed chaotic solutions of non-linear differential equa- tions.” Tellus A: Dynamic Meteorology and Oceanography 61.4 (2008): 550-564.

OpenMP parallelization of multiple precision Taylor series method ”On the reliability of computed chaotic solutions of non-linear differential equa- tions.” Tellus A: Dynamic Meteorology and Oceanography 61.4 (2008): 550-564

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:20:07.130609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:20:06.759697Z digest=sha256:7075341022d1e5106aa117e4ba085e309c12c969db5de422ed19704407ccc485

Observation 2fc0747c-c539-4569-8916-fc4a7c3e098d · outbound

This paper cites ”A software package for the numerical integration of ODEs by means of high-order Taylor methods.” Experimental Mathematics 14.1 (2005): 99-117.

OpenMP parallelization of multiple precision Taylor series method ”A software package for the numerical integration of ODEs by means of high-order Taylor methods.” Experimental Mathematics 14.1 (2005): 99-117

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:20:07.105600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:20:06.772864Z digest=sha256:738d40370aba96d91c3920080d2511e76f276ac1a9b876df72c6e4fd1c36758e

Observation dc344797-b528-4cfd-893f-59a767896377 · outbound

This paper cites ”Breaking the limits: the Taylor series method.” Applied mathematics and computation 217.20 (2011): 7940-7954.

OpenMP parallelization of multiple precision Taylor series method ”Breaking the limits: the Taylor series method.” Applied mathematics and computation 217.20 (2011): 7940-7954

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:20:07.073651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:20:06.779131Z digest=sha256:4daac785c3865614f72277a992f6e6615ddd8771df9e4689ebb99a758d600f93

Observation 457c82a1-70eb-4b1b-8956-3cc79a9cf866 · outbound

This paper cites an unresolved cited work.

OpenMP parallelization of multiple precision Taylor series method Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:20:07.043361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:20:06.788307Z digest=sha256:8793acb1b97baaf54cb11ba1ffd8f42d6f3e102658cd5675ba6751185d83d199

Observation b3de9f5f-b390-446a-8cb1-8e25e2927ad8 · outbound

This paper cites ”Clean numerical simulation for some chaotic systems using the parallel multiple-precision Taylor scheme.” Chinese science bulletin 59.33 (2014): 4465-4472.

OpenMP parallelization of multiple precision Taylor series method ”Clean numerical simulation for some chaotic systems using the parallel multiple-precision Taylor scheme.” Chinese science bulletin 59.33 (2014): 4465-4472

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:20:07.013514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:20:06.796405Z digest=sha256:48dac43d174f3d70c234a0e4e3705cadcaea91488994ddf228b1ec973644568f

Observation 820e3a10-8459-47ee-9fc0-789d2eb9eccd · outbound

This paper cites an unresolved cited work.

OpenMP parallelization of multiple precision Taylor series method Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:20:06.984935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:20:06.802580Z digest=sha256:62b40e807312243b53739640349380ca5848b29fc7d56ef59699f44018ba5136

Observation c146f350-cbad-4034-b959-6bf2a68919d4 · outbound

This paper cites ”Deterministic nonperiodic flow.” Journal of the atmospheric sciences 20.2 (1963): 130-141.

OpenMP parallelization of multiple precision Taylor series method ”Deterministic nonperiodic flow.” Journal of the atmospheric sciences 20.2 (1963): 130-141

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:20:06.962395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:20:06.814225Z digest=sha256:069764cec8a2b654c387b73fec7f7353905f3cc42f9d60c2ad77e8af03095d7d

Observation fcdeee51-d03f-4626-9368-f54427ad70e1 · outbound

This paper cites Methods and applications of interval analysis.

OpenMP parallelization of multiple precision Taylor series method Methods and applications of interval analysis

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:20:06.937323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:20:06.822395Z digest=sha256:da73b1a5eafede561d774bf8e34692c3b503cb9a3ed87334d4e39398f995936a

Observation 532dd2c8-8558-4b7e-b0a6-00b49739555b · outbound

This paper cites Using OpenMP: portable shared memory parallel programming.

OpenMP parallelization of multiple precision Taylor series method Using OpenMP: portable shared memory parallel programming

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:20:06.908678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:20:06.828101Z digest=sha256:2367f7acf47678eb8e01fce58f5bb988728a579d95b223253d63a6f6fb53c629

Observation 81c1f7d6-0eca-45b2-8e9a-494f0903ded8 · outbound

This paper cites Avail- able at: http://hlit.jinr.ru (accessed 24.08.2019).

OpenMP parallelization of multiple precision Taylor series method Avail- able at: http://hlit.jinr.ru (accessed 24.08.2019)

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:20:06.885097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:20:06.833378Z digest=sha256:7854b8261f9c5d87732ba32ff9f7be7acf8971bba469ddb1d29664c469323d58

Pith citing papers

No inbound Pith citation observations are available.