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Paper Citation Record · LEDGER

A Compact Two-Stage Fourth-Order Two-Derivative IMEX Method with Mixed Compatibility, High Implicit-Solve Efficiency,and Enhanced Stiff Decay

As of 22 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 1 inbound Pith citation observation for arXiv:2606.23319.

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

pith.paper-citation-record.v1
2606.23319 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-26T07:35:55.571173Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T22:31:43.655665Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T22:31:43.766060Z

Reference resolution

30 of 30 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved30
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 23251ff7-a71c-4e56-ae61-89e72a5440a6 · outbound

This paper cites Runge, Über die numerische Auflösung von Differentialgleichungen,Mathematis- che Annalen, 46, 167–178, 1895.

A Compact Two-Stage Fourth-Order Two-Derivative IMEX Method with Mixed Compatibility, High Implicit-Solve Efficiency,and Enhanced Stiff Decay Runge, Über die numerische Auflösung von Differentialgleichungen,Mathematis- che Annalen, 46, 167–178, 1895

Reference 1

Resolution
unresolved
no resolver link, observed 2026-06-26T07:35:55.571173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:35:55.571173Z digest=sha256:2d3d5bb4d1677fb2b4c59f94dec326435cec658542bec6c96431da8d1d719b81

Observation 6d114522-e14c-41d1-9193-d65649f2e077 · outbound

This paper cites Kutta, Beitrag zur näherungsweisen Integration totaler Differentialgleichungen, Zeitschrift für Mathematik und Physik, 46, 435–453, 1901.

A Compact Two-Stage Fourth-Order Two-Derivative IMEX Method with Mixed Compatibility, High Implicit-Solve Efficiency,and Enhanced Stiff Decay Kutta, Beitrag zur näherungsweisen Integration totaler Differentialgleichungen, Zeitschrift für Mathematik und Physik, 46, 435–453, 1901

Reference 2

Resolution
unresolved
no resolver link, observed 2026-06-26T07:35:55.571173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:35:55.571173Z digest=sha256:39a33e03f296902809799068c592a94b11790d82e66cdbca247338241bdf6e16

Observation 61aa2188-c12f-4501-aef6-a274e51722d1 · outbound

This paper cites an unresolved cited work.

A Compact Two-Stage Fourth-Order Two-Derivative IMEX Method with Mixed Compatibility, High Implicit-Solve Efficiency,and Enhanced Stiff Decay Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-06-26T07:35:55.571173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:35:55.571173Z digest=sha256:8957698ebc4818ed4efdddf41dd7cf6a51eeab8b5df325be50e8c052126402fe

Observation 456963bb-c4a5-4ec3-a3ae-d1ef6597f60b · outbound

This paper cites an unresolved cited work.

A Compact Two-Stage Fourth-Order Two-Derivative IMEX Method with Mixed Compatibility, High Implicit-Solve Efficiency,and Enhanced Stiff Decay Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-06-26T07:35:55.571173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:35:55.571173Z digest=sha256:ba22d65dedc5f6b626124d0b562b3b8683a30964a895ab5ed824b196f27deb7d

Observation 91ea2841-3ba4-422e-a2d3-029e9d35defc · outbound

This paper cites Hairer, S.

A Compact Two-Stage Fourth-Order Two-Derivative IMEX Method with Mixed Compatibility, High Implicit-Solve Efficiency,and Enhanced Stiff Decay Hairer, S

Reference 5

Resolution
unresolved
no resolver link, observed 2026-06-26T07:35:55.571173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:35:55.571173Z digest=sha256:09727d2aab33a1229bcf0844ee13db9cebff70bc0f389e85d4d7bd7cd550122b

Observation 17580186-2fa7-4180-bd44-8ac82b8c2b3e · outbound

This paper cites Hairer and G.

A Compact Two-Stage Fourth-Order Two-Derivative IMEX Method with Mixed Compatibility, High Implicit-Solve Efficiency,and Enhanced Stiff Decay Hairer and G

Reference 6

Resolution
unresolved
no resolver link, observed 2026-06-26T07:35:55.571173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:35:55.571173Z digest=sha256:a0310443964a400f86c6bbbc9e45380e78f9619d08a5a3146db9cbd852307406

Observation 93bb5e6e-9085-4f8a-ba9e-9a9bf0f0d016 · outbound

This paper cites an unresolved cited work.

A Compact Two-Stage Fourth-Order Two-Derivative IMEX Method with Mixed Compatibility, High Implicit-Solve Efficiency,and Enhanced Stiff Decay Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-06-26T07:35:55.571173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:35:55.571173Z digest=sha256:3351cda79d1b50570579940cbb6aad762bb4b76e77692bf8830a3bac5c25adc2

Observation 9d87f812-3ae7-4f65-83ef-d529021e3318 · outbound

This paper cites an unresolved cited work.

A Compact Two-Stage Fourth-Order Two-Derivative IMEX Method with Mixed Compatibility, High Implicit-Solve Efficiency,and Enhanced Stiff Decay Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-06-26T07:35:55.571173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:35:55.571173Z digest=sha256:247be6b926141fbcd73b766d3a6aaf209b79085743aac2d431aa616d07eff757

Observation 14a15422-309c-4de9-bcbd-4bfe3c0ea3f8 · outbound

This paper cites Gottlieb, C.-W.

A Compact Two-Stage Fourth-Order Two-Derivative IMEX Method with Mixed Compatibility, High Implicit-Solve Efficiency,and Enhanced Stiff Decay Gottlieb, C.-W

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-26T07:35:55.571173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:35:55.571173Z digest=sha256:6f31ab608a464427a62e9410fd65b6a8fc8d01586303632c9402b8f52e79eeb2

Observation ed7bb953-bcfd-4e1d-a309-3411043e1d04 · outbound

This paper cites an unresolved cited work.

A Compact Two-Stage Fourth-Order Two-Derivative IMEX Method with Mixed Compatibility, High Implicit-Solve Efficiency,and Enhanced Stiff Decay Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-06-26T07:35:55.571173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:35:55.571173Z digest=sha256:bed3bab99b68e1b49bf999d53fba7d5a24acdc5b0ef04429aca97b52ae7eb890

Observation 55a4cc2d-1cf0-491e-b678-46d4a7ef381a · outbound

This paper cites an unresolved cited work.

A Compact Two-Stage Fourth-Order Two-Derivative IMEX Method with Mixed Compatibility, High Implicit-Solve Efficiency,and Enhanced Stiff Decay Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-06-26T07:35:55.571173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:35:55.571173Z digest=sha256:ebdd0661293abad710d4c625b3a22595de0b8379a69d15151aadf07c1f82861a

Observation 80ff0e93-e65c-4aeb-8a94-6321dcd1448d · outbound

This paper cites Gottlieb, D.

A Compact Two-Stage Fourth-Order Two-Derivative IMEX Method with Mixed Compatibility, High Implicit-Solve Efficiency,and Enhanced Stiff Decay Gottlieb, D

Reference 12

Resolution
unresolved
no resolver link, observed 2026-06-26T07:35:55.571173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:35:55.571173Z digest=sha256:b89a8167d3d0cfdf3f20c167a3983fb76f1e55ed2c11faac0dbad65877ea2e16

Observation e7025664-04d7-4029-a68b-b6921d0fe925 · outbound

This paper cites an unresolved cited work.

A Compact Two-Stage Fourth-Order Two-Derivative IMEX Method with Mixed Compatibility, High Implicit-Solve Efficiency,and Enhanced Stiff Decay Unresolved cited work

Reference 13

Resolution
unresolved
no resolver link, observed 2026-06-26T07:35:55.571173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:35:55.571173Z digest=sha256:05677f1a19ccd9b967a8499e2ba0bcafd7d535f7a63c4dac3f40bd06e1c22f11

Observation 8887da13-6eff-4036-8eed-2744dc330128 · outbound

This paper cites an unresolved cited work.

A Compact Two-Stage Fourth-Order Two-Derivative IMEX Method with Mixed Compatibility, High Implicit-Solve Efficiency,and Enhanced Stiff Decay Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-06-26T07:35:55.571173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:35:55.571173Z digest=sha256:3c6a55b56aab1642eb13cd8136a36bdadf1219abf5fda7c085a4d50243c0a16e

Observation cb0dc96c-5b1b-4bc0-97f9-429427b3dbde · outbound

This paper cites Pareschi and G.

A Compact Two-Stage Fourth-Order Two-Derivative IMEX Method with Mixed Compatibility, High Implicit-Solve Efficiency,and Enhanced Stiff Decay Pareschi and G

Reference 15

Resolution
unresolved
no resolver link, observed 2026-06-26T07:35:55.571173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:35:55.571173Z digest=sha256:a03a4fe9adc4ca44ea14806105bf6f9d0f1116372cd2d6fd505488502ec37901

Observation e137a4ff-ce54-482a-a665-61a2fc9b0889 · outbound

This paper cites Higueras, Strong stability for additive Runge–Kutta methods,SIAM Journal on Numerical Analysis, 44, 1735–1758, 2006.

A Compact Two-Stage Fourth-Order Two-Derivative IMEX Method with Mixed Compatibility, High Implicit-Solve Efficiency,and Enhanced Stiff Decay Higueras, Strong stability for additive Runge–Kutta methods,SIAM Journal on Numerical Analysis, 44, 1735–1758, 2006

Reference 16

Resolution
unresolved
no resolver link, observed 2026-06-26T07:35:55.571173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:35:55.571173Z digest=sha256:10935be6436032829ab16aefca4a76f3d2ea2507249a97018ee3407a3740611b

Observation de91d924-6004-4e42-b73e-42060b0c5bb3 · outbound

This paper cites Boscarino and G.

A Compact Two-Stage Fourth-Order Two-Derivative IMEX Method with Mixed Compatibility, High Implicit-Solve Efficiency,and Enhanced Stiff Decay Boscarino and G

Reference 17

Resolution
unresolved
no resolver link, observed 2026-06-26T07:35:55.571173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:35:55.571173Z digest=sha256:7ea7b06579129d719cf0e32c59d870ae1a58054d6a1e11065d30918ae42f8b72

Observation 5833afb4-f5db-4594-a959-39bf860c6429 · outbound

This paper cites Boscarino, L.

A Compact Two-Stage Fourth-Order Two-Derivative IMEX Method with Mixed Compatibility, High Implicit-Solve Efficiency,and Enhanced Stiff Decay Boscarino, L

Reference 18

Resolution
unresolved
no resolver link, observed 2026-06-26T07:35:55.571173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:35:55.571173Z digest=sha256:d09b9a7146dce7013c6d3c1ea153a9b7705d1bd4565d6fbe82f6f2fb084ae61a

Observation 05039345-7687-47a9-ab8b-42dd6899f68a · outbound

This paper cites Boscarino, L.

A Compact Two-Stage Fourth-Order Two-Derivative IMEX Method with Mixed Compatibility, High Implicit-Solve Efficiency,and Enhanced Stiff Decay Boscarino, L

Reference 19

Resolution
unresolved
no resolver link, observed 2026-06-26T07:35:55.571173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:35:55.571173Z digest=sha256:6f4e332216dbab9a7e543410b5fc9efd76dd3100c8a9918559357366a8adf24a

Observation a9355fc4-307c-4a71-806d-1a3f4ce6c234 · outbound

This paper cites Sandu and M.

A Compact Two-Stage Fourth-Order Two-Derivative IMEX Method with Mixed Compatibility, High Implicit-Solve Efficiency,and Enhanced Stiff Decay Sandu and M

Reference 20

Resolution
unresolved
no resolver link, observed 2026-06-26T07:35:55.571173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:35:55.571173Z digest=sha256:fa9cb5b00d2fe110717fc9725f2e980aa53ccf0dffdb6ca279a489d15f99d012

Observation 02a0bbbd-c85f-4cac-b4ea-221e6d2ec7ca · outbound

This paper cites an unresolved cited work.

A Compact Two-Stage Fourth-Order Two-Derivative IMEX Method with Mixed Compatibility, High Implicit-Solve Efficiency,and Enhanced Stiff Decay Unresolved cited work

Reference 21

Resolution
unresolved
no resolver link, observed 2026-06-26T07:35:55.571173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:35:55.571173Z digest=sha256:700e71b9410443f8b940742132394740dc0ba454d0d368198384f27ac4b063f7

Observation 730b2e30-7736-4598-a837-f7726fbd9751 · outbound

This paper cites an unresolved cited work.

A Compact Two-Stage Fourth-Order Two-Derivative IMEX Method with Mixed Compatibility, High Implicit-Solve Efficiency,and Enhanced Stiff Decay Unresolved cited work

Reference 22

Resolution
unresolved
no resolver link, observed 2026-06-26T07:35:55.571173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:35:55.571173Z digest=sha256:9f75595f48bc4fafd47a369ff913afb690078f41168d5dbad407bf77ddef34b0

Observation e41b1fd7-a662-4190-ad33-cfebb20e108a · outbound

This paper cites Dumbser, C.

A Compact Two-Stage Fourth-Order Two-Derivative IMEX Method with Mixed Compatibility, High Implicit-Solve Efficiency,and Enhanced Stiff Decay Dumbser, C

Reference 23

Resolution
unresolved
no resolver link, observed 2026-06-26T07:35:55.571173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:35:55.571173Z digest=sha256:6967bf2dfe63b12e611a339494c776b17c1b89dd3f70cbe43c8c25ec67b0f756

Observation 978f363b-75b9-4c0b-b09d-3e5b6b406865 · outbound

This paper cites an unresolved cited work.

A Compact Two-Stage Fourth-Order Two-Derivative IMEX Method with Mixed Compatibility, High Implicit-Solve Efficiency,and Enhanced Stiff Decay Unresolved cited work

Reference 24

Resolution
unresolved
no resolver link, observed 2026-06-26T07:35:55.571173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:35:55.571173Z digest=sha256:209ee08fae5550e54d5dcf9a58697d3fe9f7b36fff8cc088530a711a7180793f

Observation c798b34d-34b2-486a-8723-d456875d8fc3 · outbound

This paper cites an unresolved cited work.

A Compact Two-Stage Fourth-Order Two-Derivative IMEX Method with Mixed Compatibility, High Implicit-Solve Efficiency,and Enhanced Stiff Decay Unresolved cited work

Reference 25

Resolution
unresolved
no resolver link, observed 2026-06-26T07:35:55.571173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:35:55.571173Z digest=sha256:6a564bdf01e35208a4359f2998e3c42ac0bd79c1e12547d041dac2703d887637

Observation 01f80143-9f62-492c-9d4b-3ff533615b72 · outbound

This paper cites an unresolved cited work.

A Compact Two-Stage Fourth-Order Two-Derivative IMEX Method with Mixed Compatibility, High Implicit-Solve Efficiency,and Enhanced Stiff Decay Unresolved cited work

Reference 26

Resolution
unresolved
no resolver link, observed 2026-06-26T07:35:55.571173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:35:55.571173Z digest=sha256:efe90f7c73135dc779ab49e4631b57e97e9e1d3776e87a849871090fdae41f7d

Observation f5ca1182-8049-4924-b47f-f515c0df4382 · outbound

This paper cites Li and Z.

A Compact Two-Stage Fourth-Order Two-Derivative IMEX Method with Mixed Compatibility, High Implicit-Solve Efficiency,and Enhanced Stiff Decay Li and Z

Reference 27

Resolution
unresolved
no resolver link, observed 2026-06-26T07:35:55.571173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:35:55.571173Z digest=sha256:80c63caaf8e068c1225fd6950b9a162ef54cd2220f8fbd20ea4884d1ea937db8

Observation ad24d20e-b055-478e-9e4a-7362c3e205f3 · outbound

This paper cites an unresolved cited work.

A Compact Two-Stage Fourth-Order Two-Derivative IMEX Method with Mixed Compatibility, High Implicit-Solve Efficiency,and Enhanced Stiff Decay Unresolved cited work

Reference 28

Resolution
unresolved
no resolver link, observed 2026-06-26T07:35:55.571173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:35:55.571173Z digest=sha256:6776fcd9eed5eb96c363d06cfc1b260ea8a67244496f60d13ded99f7cdd9a691

Observation faf89ff2-0b7d-4cb9-a2bd-5fb6d61f6246 · outbound

This paper cites Yuan and H.

A Compact Two-Stage Fourth-Order Two-Derivative IMEX Method with Mixed Compatibility, High Implicit-Solve Efficiency,and Enhanced Stiff Decay Yuan and H

Reference 29

Resolution
unresolved
no resolver link, observed 2026-06-26T07:35:55.571173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:35:55.571173Z digest=sha256:7ed07223f9d6106771c9c351995f48e698ea775472da547f7332966b392b46f3

Observation d65da5d7-9afe-4705-aa3d-dd06cf8ba303 · outbound

This paper cites Du and J.

A Compact Two-Stage Fourth-Order Two-Derivative IMEX Method with Mixed Compatibility, High Implicit-Solve Efficiency,and Enhanced Stiff Decay Du and J

Reference 30

Resolution
unresolved
no resolver link, observed 2026-06-26T07:35:55.571173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:35:55.571173Z digest=sha256:24a8b75e6908ea40988211b6b21c5e7959c54ea23960aaf27684febc79769ae3

Pith citing papers

Observation 56c9e34a-e403-4abb-891a-e0d5880283da · inbound

An L-Stable Sequential Two-Stage Fourth-Order Method with ADER Trajectory Derivatives for Stiff Transport--Relaxation Systems cites this paper.

An L-Stable Sequential Two-Stage Fourth-Order Method with ADER Trajectory Derivatives for Stiff Transport--Relaxation Systems A Compact Two-Stage Fourth-Order Two-Derivative IMEX Method with Mixed Compatibility, High Implicit-Solve Efficiency,and Enhanced Stiff Decay

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-05T22:31:43.769483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T22:31:43.655665Z digest=sha256:2482365e264b74310d68c97ec63c2faac6caad64cea23478304bc954ff3072c2