Paper Citation Record · LEDGER

AutoKnots: Adaptive Knot Allocation for Spline Interpolation

As of 11 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2412.13423.

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

pith.paper-citation-record.v1
2412.13423 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T13:13:07.145556Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

43 of 43 outbound references displayed

verified exact4
verified fuzzy21
unresolved18
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 59fd5b67-2314-4256-9084-7764a921d2a8 · outbound

This paper cites The Dark Energy Spectroscopic Instrument (DESI).

AutoKnots: Adaptive Knot Allocation for Spline Interpolation The Dark Energy Spectroscopic Instrument (DESI)

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-11T13:13:06.961842Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 96632c3e-f4d3-4b44-8234-b356ade748c8 · outbound

This paper cites J-PAS: The Javalambre-Physics of the Accelerated Universe Astrophysical Survey.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation J-PAS: The Javalambre-Physics of the Accelerated Universe Astrophysical Survey

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-11T13:13:06.968025Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 661d431a-c736-4bc2-98a7-2326a838c367 · outbound

This paper cites Mellier, Abdurro’uf, J.A.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation Mellier, Abdurro’uf, J.A

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-11T13:13:06.972496Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ba4de095-d2d3-4e80-8af9-295f0ce20851 · outbound

This paper cites Large Synoptic Survey Telescope: Dark Energy Science Collaboration.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation Large Synoptic Survey Telescope: Dark Energy Science Collaboration

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-11T13:13:06.977312Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 41c867bd-0347-444c-9fc7-77dd67b32fd4 · outbound

This paper cites WFIRST: The Essential Cosmology Space Observatory for the Coming Decade.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation WFIRST: The Essential Cosmology Space Observatory for the Coming Decade

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-11T13:13:06.982365Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fccee58e-2661-4501-b630-7c5a28964b31 · outbound

This paper cites In the Realm of the Hubble tension $-$ a Review of Solutions.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation In the Realm of the Hubble tension $-$ a Review of Solutions

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-11T13:13:06.986796Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 62ad71c1-25f3-4bb8-9e2a-a66cf804623d · outbound

This paper cites The Hubble Tension and Early Dark Energy.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation The Hubble Tension and Early Dark Energy

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-11T13:13:06.992958Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 18446fab-1ce8-4e27-b65b-94e63d317121 · outbound

This paper cites The Local Value of H$_0$.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation The Local Value of H$_0$

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-11T13:13:06.997308Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 46883ef7-a8a9-4633-ae86-827e2251942e · outbound

This paper cites CAMB: Code for Anisotropies in the Microwave Background.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation CAMB: Code for Anisotropies in the Microwave Background

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-11T13:13:07.001488Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8553040-f1fe-4528-b672-c669bca79966 · outbound

This paper cites The Cosmic Linear Anisotropy Solving System (CLASS) I: Overview.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation The Cosmic Linear Anisotropy Solving System (CLASS) I: Overview

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-11T13:13:07.005393Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d9e5378-8191-4b93-813e-a2654f8d9ab8 · outbound

This paper cites COLOSSUS: A python toolkit for cosmology, large-scale structure, and dark matter halos.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation COLOSSUS: A python toolkit for cosmology, large-scale structure, and dark matter halos

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-11T13:13:07.009550Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dc275cd3-49ab-44f0-99e9-3abde3f63b03 · outbound

This paper cites Core Cosmology Library: Precision Cosmological Predictions for LSST.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation Core Cosmology Library: Precision Cosmological Predictions for LSST

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-11T13:13:07.013653Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f84ec85c-244a-4778-8e04-57a55e053ec7 · outbound

This paper cites NumCosmo: Numerical Cosmology.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation NumCosmo: Numerical Cosmology

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:08.202613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 365b8450-fbc3-492e-bc1b-ef50ea62dff3 · outbound

This paper cites Powell,Approximation Theory and Methods, Cambridge University Press (1981).

AutoKnots: Adaptive Knot Allocation for Spline Interpolation Powell,Approximation Theory and Methods, Cambridge University Press (1981)

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:08.191995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4edb5172-1e10-4999-a4e5-52f5351ba868 · outbound

This paper cites Obradovic, L.N.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation Obradovic, L.N

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:08.181522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 83888793-1dc6-4aa7-8edd-b5b10b8af287 · outbound

This paper cites Quiñonero-Candela, C.E.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation Quiñonero-Candela, C.E

Reference 16

Resolution: verified exact; raw_fallback, observed 2026-08-11T13:13:07.366859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 12f11740-4a50-47fe-a00a-9ac9a69f80cd · outbound

This paper cites Quadrianto, K.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation Quadrianto, K

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:08.170641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f07d6632-a96c-40f6-a325-2e1805167996 · outbound

This paper cites Lyche and K.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation Lyche and K

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:08.157865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6da2db70-db27-44a8-8c32-a260c4db7b5d · outbound

This paper cites Michel and A.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation Michel and A

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:08.146965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4281ad1e-72e7-469b-8822-1e678150bb11 · outbound

This paper cites Spline Regression with Automatic Knot Selection.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation Spline Regression with Automatic Knot Selection

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-11T13:13:07.268145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e5a4d6bb-612e-42fe-b198-e7bed5ad268e · outbound

This paper cites an unresolved cited work.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:13:08.133863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8f7b04f8-c94d-4713-8e9e-e0083631fd57 · outbound

This paper cites Goldenthal and M.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation Goldenthal and M

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:08.122343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a5d8e532-786e-4b75-a382-07a245daff1c · outbound

This paper cites Gálvez, A.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation Gálvez, A

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:08.108755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5374bcd6-34f1-4581-b74e-fcb42a06baa9 · outbound

This paper cites Idais, M.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation Idais, M

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:08.096179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 70d54afc-8a2c-4cc8-bcc1-15a2e764b69f · outbound

This paper cites de Boor,Convergence of cubic spline interpolation with the not-a-knot condition, Tech.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation de Boor,Convergence of cubic spline interpolation with the not-a-knot condition, Tech

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:08.083686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation bee358ec-844c-423e-a837-40037d4ada89 · outbound

This paper cites Davis, P.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation Davis, P

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:08.072913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8912f1d1-430a-4677-b07f-6af318a30b10 · outbound

This paper cites Trefethen,Approximation Theory and Approximation Practice, Society for Industrial and Applied Mathematics (2013).

AutoKnots: Adaptive Knot Allocation for Spline Interpolation Trefethen,Approximation Theory and Approximation Practice, Society for Industrial and Applied Mathematics (2013)

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:08.062890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5bf674ac-0381-4dc5-86c8-2bf8cd542afc · outbound

This paper cites de Boor,A Practical Guide to Spline, vol.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation de Boor,A Practical Guide to Spline, vol

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-11T13:13:07.082022Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9f6fd610-268c-4659-a736-14c4e2017966 · outbound

This paper cites an unresolved cited work.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:13:08.052080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 146ac4d9-53e2-4599-b28f-37d9b3eafe19 · outbound

This paper cites Behforooz,Approximation by integro cubic splines, Applied Mathematics and Computation 175 (2006) 8.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation Behforooz,Approximation by integro cubic splines, Applied Mathematics and Computation 175 (2006) 8

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:08.038678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 74b2179b-b3a5-42fb-a488-750de9d8505c · outbound

This paper cites Phythian and R.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation Phythian and R

Reference 31

Resolution: verified exact; doi, observed 2026-08-11T13:13:07.180675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e3486343-31e1-4cc4-87b1-f7aaf54c3e18 · outbound

This paper cites Hall,On error bounds for spline interpolation, Journal of Approximation Theory1 (1968) 209.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation Hall,On error bounds for spline interpolation, Journal of Approximation Theory1 (1968) 209

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:08.027244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 47ff9d4f-8c61-4451-a8bf-d1786e4a4698 · outbound

This paper cites Ujevic and A.J.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation Ujevic and A.J

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:08.015435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c93453e2-e742-483b-ac82-91645dc998d4 · outbound

This paper cites Burg,Derivative-based closed newton–cotes numerical quadrature, Applied Mathematics and Computation 218 (2012) 7052.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation Burg,Derivative-based closed newton–cotes numerical quadrature, Applied Mathematics and Computation 218 (2012) 7052

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:08.003351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f2dcba9e-c60b-4c65-b1e5-3cd1480484dc · outbound

This paper cites HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-11T13:13:07.110213Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a1e47689-38b9-486a-add2-02048cd9ad1b · outbound

This paper cites A New Calculation of the Recombination Epoch.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation A New Calculation of the Recombination Epoch

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-11T13:13:07.115011Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8b8181f-fff8-4435-afb5-dafa5f9c75ad · outbound

This paper cites CLMM: a LSST-DESC Cluster weak Lensing Mass Modeling library for cosmology.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation CLMM: a LSST-DESC Cluster weak Lensing Mass Modeling library for cosmology

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-08-11T13:13:07.219585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2078f791-b1d4-4141-8974-30ca9e3ca98f · outbound

This paper cites The Structure of Cold Dark Matter Halos.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation The Structure of Cold Dark Matter Halos

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-11T13:13:07.123978Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 28fb8f7c-20a4-4d50-ac15-e234626924ee · outbound

This paper cites Hernquist,An Analytical Model for Spherical Galaxies and Bulges, ApJ 356 (1990) 359.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation Hernquist,An Analytical Model for Spherical Galaxies and Bulges, ApJ 356 (1990) 359

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:07.990284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8f5136c2-fb62-4e35-875d-4df345763147 · outbound

This paper cites Knott,Interpolating cubic splines, vol.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation Knott,Interpolating cubic splines, vol

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:07.978750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1a99803e-1d00-4e6d-bc3a-348125ed9afc · outbound

This paper cites Tsai, J.-C.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation Tsai, J.-C

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:07.963298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5e4f306e-8bf4-4538-babf-e7eca37ab867 · outbound

This paper cites Ahlberg, J.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation Ahlberg, J

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:07.949080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8c310391-4c7f-4db2-b42c-e80e55e95870 · outbound

This paper cites Angerson, Z.

AutoKnots: Adaptive Knot Allocation for Spline Interpolation Angerson, Z

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:07.933621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

No inbound Pith citation observations are available.