Paper Citation Record · LEDGER

FIAT: enabling classical and modern macroelements

As of 19 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 3 inbound Pith citation observations for arXiv:2501.14599.

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

pith.paper-citation-record.v1
2501.14599 v2

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T15:03:38.376901Z

measured 50 of 50 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:53:56.681751Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T14:39:57.506587Z

Reference resolution

47 of 47 outbound references displayed

verified exact4
verified fuzzy18
unresolved16
parse uncertain0
malformed identifier2
metadata mismatch7

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2c0f2146-5784-40e5-8f56-bee09b22ef6c · outbound

This paper cites to appear, ACM Transactions on Mathematical Software (2024).

FIAT: enabling classical and modern macroelements to appear, ACM Transactions on Mathematical Software (2024)

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:03:40.436959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a7151a03-1d4d-4bd6-8afd-111dfeb368de · outbound

This paper cites xviii+397 pages.

FIAT: enabling classical and modern macroelements xviii+397 pages

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:03:40.451614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ed8f73bb-d92d-4bcb-905e-e8a6f18dfe93 · outbound

This paper cites The Johnson-Krizek-Mercier elasticity element in any dimensions.

FIAT: enabling classical and modern macroelements The Johnson-Krizek-Mercier elasticity element in any dimensions

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-10T15:03:37.647630Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation faf7e8de-cd6f-4073-9b06-7c4a36837d09 · outbound

This paper cites Computer Methods in Applied Mechanics and Engineering 395 (2022), 114983.

FIAT: enabling classical and modern macroelements Computer Methods in Applied Mechanics and Engineering 395 (2022), 114983

Reference 18

Resolution: metadata mismatch; raw_fallback, observed 2026-08-10T15:03:39.505674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 01a14084-8371-4b27-a115-26bbd27d50cb · outbound

This paper cites an unresolved cited work.

FIAT: enabling classical and modern macroelements Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-10T15:03:40.320019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2d460c12-a577-4873-ab08-c4258358004c · outbound

This paper cites SIAM Journal on Scientific Computing 40, 3 (2018), C401–C428.

FIAT: enabling classical and modern macroelements SIAM Journal on Scientific Computing 40, 3 (2018), C401–C428

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:03:40.258401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8fc50079-894f-4a40-8364-b7060a479940 · outbound

This paper cites ACM Trans.

FIAT: enabling classical and modern macroelements ACM Trans

Reference 26

Resolution: metadata mismatch; raw_fallback, observed 2026-08-10T15:03:39.258906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation dbec4073-7ad1-4e95-b227-156ad3bb1a7b · outbound

This paper cites an unresolved cited work.

FIAT: enabling classical and modern macroelements Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-10T15:03:40.073761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9a798a8f-28bb-4a59-944e-32125c93fb10 · outbound

This paper cites SIAM Journal on Scientific Computing 36, 2 (2014), A846–A868.

FIAT: enabling classical and modern macroelements SIAM Journal on Scientific Computing 36, 2 (2014), A846–A868

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:03:40.059520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 18accba2-836f-4a11-bf5f-5460935e2f75 · outbound

This paper cites SMAI Journal of Computational Mathematics 4 (2018), 197–224.

FIAT: enabling classical and modern macroelements SMAI Journal of Computational Mathematics 4 (2018), 197–224

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-10T15:03:38.106324Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 36fec1f8-8ba3-42c4-a7e0-648533ce60d3 · outbound

This paper cites ACM Trans.

FIAT: enabling classical and modern macroelements ACM Trans

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:03:40.044799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0ac469f1-7f43-491d-821b-f0e810907a25 · outbound

This paper cites Automated generation and symbolic manipulation of tensor product finite elements.

FIAT: enabling classical and modern macroelements Automated generation and symbolic manipulation of tensor product finite elements

Reference 34

Resolution: metadata mismatch; local_arxiv, observed 2026-08-10T15:03:38.820558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 351f8033-2013-416a-9118-eb6ac3362bc4 · outbound

This paper cites Numerical Methods for Partial Differential Equations 35, 4 (2019), 1497–1508.

FIAT: enabling classical and modern macroelements Numerical Methods for Partial Differential Equations 35, 4 (2019), 1497–1508

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:03:40.031282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5fb1cb42-a993-4f82-a9bd-8e8078acde95 · outbound

This paper cites SIAM Journal on Scientific Computing 45, 2 (2023), A675–A702.

FIAT: enabling classical and modern macroelements SIAM Journal on Scientific Computing 45, 2 (2023), A675–A702

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:03:40.007928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8042fb9d-0c28-4550-aa42-249a6d60c140 · outbound

This paper cites Firedrake: automating the finite element method by composing abstractions.

FIAT: enabling classical and modern macroelements Firedrake: automating the finite element method by composing abstractions

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-10T15:03:38.225294Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e3729032-07ae-4a4e-976e-b7687ba63b4d · outbound

This paper cites ACM Trans.

FIAT: enabling classical and modern macroelements ACM Trans

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:03:39.852150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 669bb259-def2-458f-b1a3-2a03eea54610 · outbound

This paper cites Efficient Assembly of H(div) and H(curl) Conforming Finite Elements.

FIAT: enabling classical and modern macroelements Efficient Assembly of H(div) and H(curl) Conforming Finite Elements

Reference 40

Resolution: metadata mismatch; local_arxiv, observed 2026-08-10T15:03:38.745548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation de46f413-7298-4662-87e7-5ff704e83f95 · outbound

This paper cites Journal of Open Source Software 7, 73 (2022),.

FIAT: enabling classical and modern macroelements Journal of Open Source Software 7, 73 (2022),

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:03:39.764000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation de0daf74-cb45-488b-8d6d-0e051a083ab0 · outbound

This paper cites Internat.

FIAT: enabling classical and modern macroelements Internat

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:03:39.748144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d276c327-affb-4eb0-a8c1-e578c667f258 · outbound

This paper cites Computers & Mathematics with Applications 59, 2 (2010), 663–676.

FIAT: enabling classical and modern macroelements Computers & Mathematics with Applications 59, 2 (2010), 663–676

Reference 46

Resolution: malformed identifier; no resolver link, observed 2026-08-10T15:03:38.372085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 121611dd-6846-4bf1-af89-ab070f44ed4f · outbound

This paper cites ACM Transactions on Mathematical Software (TOMS) 3, 4 (1977), 316–325.

FIAT: enabling classical and modern macroelements ACM Transactions on Mathematical Software (TOMS) 3, 4 (1977), 316–325

Reference 1977

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:03:39.976570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 57ea798b-61c5-4f10-9bb0-214d3a5f28a2 · outbound

This paper cites an unresolved cited work.

FIAT: enabling classical and modern macroelements Unresolved cited work

Reference 1978

Resolution: unresolved; raw_fallback, observed 2026-08-10T15:03:40.089377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 32120b11-d34d-461e-bd62-65c25ec31569 · outbound

This paper cites Japan Journal of Applied Mathematics 1, 2 (1984), 347–367.

FIAT: enabling classical and modern macroelements Japan Journal of Applied Mathematics 1, 2 (1984), 347–367

Reference 1984

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:03:40.493991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 03481e8e-9681-4674-aa7d-fd4b8d395aee · outbound

This paper cites an unresolved cited work.

FIAT: enabling classical and modern macroelements Unresolved cited work

Reference 1985

Resolution: verified exact; doi, observed 2026-08-10T15:03:38.485661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2274c971-42da-42d5-b8a3-9f867edc3662 · outbound

This paper cites Computer Aided Geometric Design 5, 3 (1988), 177–186.

FIAT: enabling classical and modern macroelements Computer Aided Geometric Design 5, 3 (1988), 177–186

Reference 1988

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:03:39.733611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 63e9393e-68af-4b2f-a70f-d5168c98f662 · outbound

This paper cites Advances in computer methods for partial differential equations 7 (1992), 28–34.

FIAT: enabling classical and modern macroelements Advances in computer methods for partial differential equations 7 (1992), 28–34

Reference 1992

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:03:40.479771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6bcfaa5d-a103-4805-ba13-1a7ae3492cfc · outbound

This paper cites Vieweg+Teubner Verlag, Wiesbaden, 547–566.

FIAT: enabling classical and modern macroelements Vieweg+Teubner Verlag, Wiesbaden, 547–566

Reference 1996

Resolution: unresolved; no resolver link, observed 2026-08-10T15:03:38.344205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bb30d1cc-4b52-4b33-b38c-de1409a5f3f4 · outbound

This paper cites an unresolved cited work.

FIAT: enabling classical and modern macroelements Unresolved cited work

Reference 2002

Resolution: unresolved; no resolver link, observed 2026-08-10T15:03:37.449877Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8a098e20-c58d-48a1-938a-891e0f034c6f · outbound

This paper cites Mathematical Models and Methods in Applied Sciences 13, 03 (March 2003), 295–307.

FIAT: enabling classical and modern macroelements Mathematical Models and Methods in Applied Sciences 13, 03 (March 2003), 295–307

Reference 2003

Resolution: verified exact; doi, observed 2026-08-10T15:03:38.568764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0428c156-e24a-4796-b05b-bebe36ef0679 · outbound

This paper cites International Journal for Numerical Methods in Fluids 44, 7 (2004), 777–788.

FIAT: enabling classical and modern macroelements International Journal for Numerical Methods in Fluids 44, 7 (2004), 777–788

Reference 2004

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:03:40.151012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fca9b809-fc92-411e-bd05-52f557f33e62 · outbound

This paper cites ACM Trans.

FIAT: enabling classical and modern macroelements ACM Trans

Reference 2006

Resolution: unresolved; no resolver link, observed 2026-08-10T15:03:37.972952Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 38ad4a1f-fd18-4678-8d01-0ca6dbed286e · outbound

This paper cites II—a general-purpose object-oriented finite element library.

FIAT: enabling classical and modern macroelements II—a general-purpose object-oriented finite element library

Reference 2007

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:03:40.465367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d5060c22-531f-4e6c-9844-8e0aca101508 · outbound

This paper cites an unresolved cited work.

FIAT: enabling classical and modern macroelements Unresolved cited work

Reference 2008

Resolution: unresolved; no resolver link, observed 2026-08-10T15:03:37.398072Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5205cf13-d896-4de5-9c1d-69c1e96aa142 · outbound

This paper cites ACM Trans.

FIAT: enabling classical and modern macroelements ACM Trans

Reference 2010

Resolution: metadata mismatch; raw_fallback, observed 2026-08-10T15:03:39.046439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 14c61d36-2f60-4dca-862e-3c51ccb11a4f · outbound

This paper cites SIAM Journal on Scientific Computing 33, 6 (2011), 3087–3109.

FIAT: enabling classical and modern macroelements SIAM Journal on Scientific Computing 33, 6 (2011), 3087–3109

Reference 2011

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:03:40.523888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 15295613-de72-4b82-a444-a131db4cfaea · outbound

This paper cites SIAM Journal on Scientific Computing 34, 4 (2012), A2267–A2287.

FIAT: enabling classical and modern macroelements SIAM Journal on Scientific Computing 34, 4 (2012), A2267–A2287

Reference 2012

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:03:40.423317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8d1e8136-d406-4630-ac90-aadbbd9b89ae · outbound

This paper cites Mathematical Models and Methods in Applied Sciences 24, 04 (2014), 783–796.

FIAT: enabling classical and modern macroelements Mathematical Models and Methods in Applied Sciences 24, 04 (2014), 783–796

Reference 2014

Resolution: malformed identifier; raw_fallback, observed 2026-08-10T15:03:40.508353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 604e9c13-ca8c-4e0d-a0a1-e448e479d87b · outbound

This paper cites BIT Numerical Mathematics 56 (2016), 15–32.

FIAT: enabling classical and modern macroelements BIT Numerical Mathematics 56 (2016), 15–32

Reference 2016

Resolution: unresolved; no resolver link, observed 2026-08-10T15:03:37.318969Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3a6d8744-95d5-4b12-acbe-af7430737a86 · outbound

This paper cites Exposing and exploiting structure: optimal code generation for high-order finite element methods.

FIAT: enabling classical and modern macroelements Exposing and exploiting structure: optimal code generation for high-order finite element methods

Reference 2017

Resolution: unresolved; no resolver link, observed 2026-08-10T15:03:37.832665Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5ba5b723-af71-4d01-b330-e22bf0aaef99 · outbound

This paper cites an unresolved cited work.

FIAT: enabling classical and modern macroelements Unresolved cited work

Reference 2018

Resolution: unresolved; raw_fallback, observed 2026-08-10T15:03:40.383673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e3b31bb3-2247-4fab-9939-9439f09533b0 · outbound

This paper cites Code generation for generally mapped finite elements.

FIAT: enabling classical and modern macroelements Code generation for generally mapped finite elements

Reference 2019

Resolution: verified exact; local_arxiv, observed 2026-08-10T15:03:38.842789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a46d37a3-48ad-4e1f-ae1f-9a66d5137b29 · outbound

This paper cites an unresolved cited work.

FIAT: enabling classical and modern macroelements Unresolved cited work

Reference 2020

Resolution: unresolved; raw_fallback, observed 2026-08-10T15:03:40.407636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9b9fc0ac-47bc-4cf8-8e68-a0867b8bf5ae · outbound

This paper cites Transformations for Piola-mapped elements.

FIAT: enabling classical and modern macroelements Transformations for Piola-mapped elements

Reference 2022

Resolution: metadata mismatch; local_arxiv, observed 2026-08-10T15:03:39.718664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 39f63fe1-72bb-473a-bc0c-2b954c3ee8ed · outbound

This paper cites Imperial College London and University of Oxford and Baylor University and University of Washington.

FIAT: enabling classical and modern macroelements Imperial College London and University of Oxford and Baylor University and University of Washington

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-10T15:03:37.821741Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2ea837ff-da06-48e3-9d1f-fd832e185b54 · outbound

This paper cites Planar Curve Registration using Bayesian Inversion.

FIAT: enabling classical and modern macroelements Planar Curve Registration using Bayesian Inversion

Reference 2024

Resolution: metadata mismatch; local_arxiv, observed 2026-08-10T15:03:39.692030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b3db78f0-598e-4d0d-b4c6-29c644d182bf · outbound

This paper cites https://doi.org/10.5281/zenodo.16954245.

FIAT: enabling classical and modern macroelements https://doi.org/10.5281/zenodo.16954245

Reference 2025

Resolution: verified exact; doi, observed 2026-08-10T15:03:38.419102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b3e483dc-b1cc-43e0-9e8c-82e7fcaa1f16 · outbound

This paper cites Stogner and Graham F.

FIAT: enabling classical and modern macroelements Stogner and Graham F

Reference 3982

Resolution: unresolved; no resolver link, observed 2026-08-10T15:03:38.353053Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation dd88a76c-080d-4baf-8657-3d56b2ee5e27 · inbound

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome cites this paper.

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome FIAT: enabling classical and modern macroelements

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-15T16:53:56.681751Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 80389703-10f0-4b1c-b851-4b3c6105cb86 · inbound

Achieving Material Robustness via Symmetric Stress Finite Element Discretizations cites this paper.

Achieving Material Robustness via Symmetric Stress Finite Element Discretizations FIAT: enabling classical and modern macroelements

Reference 36

Resolution: verified exact; arxiv_id, observed 2026-05-21T03:19:29.052867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3f093af7-d267-413e-8502-6f645fac25c6 · inbound

Automated Galerkin time stepping in Irksome cites this paper.

Automated Galerkin time stepping in Irksome FIAT: enabling classical and modern macroelements

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-07-04T14:39:57.507835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.