Paper Citation Record · LEDGER

RISC-V Word-Size Modular Instructions for Residue Number Systems

As of 13 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2412.05286.

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

pith.paper-citation-record.v1
2412.05286 v1

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T15:43:51.890015Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

45 of 45 outbound references displayed

verified exact1
verified fuzzy41
unresolved2
parse uncertain1
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation aedaa809-905f-4792-a6df-d59f74647924 · outbound

This paper cites Validation of the gem5 simulator for x86 architec- tures.

RISC-V Word-Size Modular Instructions for Residue Number Systems Validation of the gem5 simulator for x86 architec- tures

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.567713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b6724158-e51a-4da7-8f29-aa473bf142d7 · outbound

This paper cites ISA extensions for finite field arithmetic accelerating kyber and newhope on RISC-V.

RISC-V Word-Size Modular Instructions for Residue Number Systems ISA extensions for finite field arithmetic accelerating kyber and newhope on RISC-V

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.550897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e0e438c9-a657-4a6e-8074-866bd1229cbd · outbound

This paper cites Antão, J.-C.

RISC-V Word-Size Modular Instructions for Residue Number Systems Antão, J.-C

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.535673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 37109c3a-24aa-4461-ba5e-b4a66e31ffb9 · outbound

This paper cites Ef- ficient word size modular multiplication over signed integers.

RISC-V Word-Size Modular Instructions for Residue Number Systems Ef- ficient word size modular multiplication over signed integers

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.520212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation fdd74d02-38a9-4d05-87ac-9fdb571707fa · outbound

This paper cites RISC-V "V" Vector Extension, Version 0.9-draft-1535cc0.

RISC-V Word-Size Modular Instructions for Residue Number Systems RISC-V "V" Vector Extension, Version 0.9-draft-1535cc0

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.503300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d9027e66-ad74-466e-9a15-d01d7b526675 · outbound

This paper cites An RNS montgomery modular mul- tiplication algorithm.

RISC-V Word-Size Modular Instructions for Residue Number Systems An RNS montgomery modular mul- tiplication algorithm

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.488125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8f16e401-c790-45c2-8c72-5a5536288b87 · outbound

This paper cites Bajard, S.

RISC-V Word-Size Modular Instructions for Residue Number Systems Bajard, S

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.473492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c9092443-42b3-4f11-95e0-57de20873039 · outbound

This paper cites Bajard, Julien Eynard, Anwar Hasan, and Vincent Zucca.

RISC-V Word-Size Modular Instructions for Residue Number Systems Bajard, Julien Eynard, Anwar Hasan, and Vincent Zucca

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.459016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d2805f9b-2deb-4f06-ad17-78b908c8043f · outbound

This paper cites Bajard and L.

RISC-V Word-Size Modular Instructions for Residue Number Systems Bajard and L

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.443896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 81196b9b-7386-47c8-9f47-3ad092e4b334 · outbound

This paper cites The gem5 simulator.ACM SIGARCH computer architecture news, 39(2):1–7, 2011.

RISC-V Word-Size Modular Instructions for Residue Number Systems The gem5 simulator.ACM SIGARCH computer architecture news, 39(2):1–7, 2011

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-12T15:43:51.732366Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 88e3110e-6167-4790-bd1c-9cdd05c14091 · outbound

This paper cites Accuracy evaluation of gem5 simulator system.

RISC-V Word-Size Modular Instructions for Residue Number Systems Accuracy evaluation of gem5 simulator system

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.418230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8aee5f0b-27ef-4d42-9627-e166f62c836a · outbound

This paper cites Residue number systems: A new paradigm to datapath opti- mizationforlow-powerandhigh-performancedigitalsignalprocessingapplications.

RISC-V Word-Size Modular Instructions for Residue Number Systems Residue number systems: A new paradigm to datapath opti- mizationforlow-powerandhigh-performancedigitalsignalprocessingapplications

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.404362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0b8e9793-8382-4b8e-83bf-44ee34259e9c · outbound

This paper cites RISC-V instruction set architecture extensions: A survey.IEEE Access, 11:24696–24711, 2023.

RISC-V Word-Size Modular Instructions for Residue Number Systems RISC-V instruction set architecture extensions: A survey.IEEE Access, 11:24696–24711, 2023

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.390180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0dd57713-a2db-4713-9114-9320274a81c4 · outbound

This paper cites A software comparison of RNS and PMNS.

RISC-V Word-Size Modular Instructions for Residue Number Systems A software comparison of RNS and PMNS

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.376140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c2fc5f42-1567-4250-93f5-7052c414278b · outbound

This paper cites Micro- architectural simulation of in-order and out-of-order arm microprocessors with gem5.

RISC-V Word-Size Modular Instructions for Residue Number Systems Micro- architectural simulation of in-order and out-of-order arm microprocessors with gem5

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.362595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1e41f873-f0d9-43a9-9421-2cc43a3c2a22 · outbound

This paper cites Extending the RISC-V in- struction set for hardware acceleration of the post-quantum scheme LAC.

RISC-V Word-Size Modular Instructions for Residue Number Systems Extending the RISC-V in- struction set for hardware acceleration of the post-quantum scheme LAC

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.349101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bbc29bc4-6212-47f6-a31d-aa66739ef5bf · outbound

This paper cites RISQ-V: Tightly coupled RISC-V accelerators for post-quantum cryptography.IACR Transactions on Cryp- tographic Hardware and Embedded Systems, pages 239–280, 2020.

RISC-V Word-Size Modular Instructions for Residue Number Systems RISQ-V: Tightly coupled RISC-V accelerators for post-quantum cryptography.IACR Transactions on Cryp- tographic Hardware and Embedded Systems, pages 239–280, 2020

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.335343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2ffed54c-64fd-4a82-91e0-abbcfe3cbf25 · outbound

This paper cites an unresolved cited work.

RISC-V Word-Size Modular Instructions for Residue Number Systems Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:43:52.321647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d07212f0-43ab-4ed4-878f-831fc3abc855 · outbound

This paper cites GNUmultipleprecisionarithmeticlibrary6.1.2.

RISC-V Word-Size Modular Instructions for Residue Number Systems GNUmultipleprecisionarithmeticlibrary6.1.2

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.307893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3dc0f7c7-7129-4e80-a74c-94a0d9341670 · outbound

This paper cites Improved plantard arithmetic for lattice- basedcryptography.

RISC-V Word-Size Modular Instructions for Residue Number Systems Improved plantard arithmetic for lattice- basedcryptography

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.294066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6fe101c2-e96a-4454-9d2c-1cb116a527dc · outbound

This paper cites Yet another Improvement of Plantard Arithmetic for Faster Kyber on Low-end 32-bit IoT Devices.

RISC-V Word-Size Modular Instructions for Residue Number Systems Yet another Improvement of Plantard Arithmetic for Faster Kyber on Low-end 32-bit IoT Devices

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-12T15:43:51.933170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a9b0947c-cf65-4000-84c0-c7547b7d8520 · outbound

This paper cites RANTT: A RISC-V architecture extension for the number theoretic transform.

RISC-V Word-Size Modular Instructions for Residue Number Systems RANTT: A RISC-V architecture extension for the number theoretic transform

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.279858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2baa3f8f-77d1-4b23-92c1-450a9b5aec44 · outbound

This paper cites Cox- rower architecture for fast parallel montgomery multiplication.

RISC-V Word-Size Modular Instructions for Residue Number Systems Cox- rower architecture for fast parallel montgomery multiplication

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.264896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6b4995d9-3488-4c37-ab57-114f224db46c · outbound

This paper cites Architecture support for bitslicing.

RISC-V Word-Size Modular Instructions for Residue Number Systems Architecture support for bitslicing

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.251243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1f0f68f9-5893-42a6-b3d7-8029bff69215 · outbound

This paper cites Art of computer programming, volume 2: Seminumerical algo- rithms.

RISC-V Word-Size Modular Instructions for Residue Number Systems Art of computer programming, volume 2: Seminumerical algo- rithms

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.237195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8fa2fb9a-8ccc-49cf-9820-a0ab802b089e · outbound

This paper cites Efficient leak resis- tant modular exponentiation in rns.

RISC-V Word-Size Modular Instructions for Residue Number Systems Efficient leak resis- tant modular exponentiation in rns

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.223465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 03313ed2-1d01-4f4b-ad7d-ab1b65ab6a1a · outbound

This paper cites PERCIVAL: open-source posit RISC-V core with quire capability.

RISC-V Word-Size Modular Instructions for Residue Number Systems PERCIVAL: open-source posit RISC-V core with quire capability

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.209702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 78729066-fad0-42f0-88a4-cdc730122a03 · outbound

This paper cites Handbook of applied cryptography.

RISC-V Word-Size Modular Instructions for Residue Number Systems Handbook of applied cryptography

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.195908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 60b47aae-92e3-4d7a-816f-6071b35b0b7a · outbound

This paper cites Arithmetic circuits for DSP applications, chapter RNS-Based arithmetic circuits and applications, pages 186–.

RISC-V Word-Size Modular Instructions for Residue Number Systems Arithmetic circuits for DSP applications, chapter RNS-Based arithmetic circuits and applications, pages 186–

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.183002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4f563e3a-52f7-42f1-bbae-24451dfb6b21 · outbound

This paper cites Montgomery.

RISC-V Word-Size Modular Instructions for Residue Number Systems Montgomery

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.156141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b7958ad1-0b51-4039-a9cb-32d53335b08c · outbound

This paper cites Efficient word size modular arithmetic.IEEE Transactions on Emerging Topics in Computing, 9(3):1506–1518, 2021.

RISC-V Word-Size Modular Instructions for Residue Number Systems Efficient word size modular arithmetic.IEEE Transactions on Emerging Topics in Computing, 9(3):1506–1518, 2021

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.142971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7d07a5ff-667e-48e0-8adb-e9f55e21d65e · outbound

This paper cites Modulo reduction in residue number systems.

RISC-V Word-Size Modular Instructions for Residue Number Systems Modulo reduction in residue number systems

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.128877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5045a7fd-c6b9-459c-a66e-e79752c3040d · outbound

This paper cites Gem5tune: A parameter auto-tuning framework for gem5 simulator to reduce errors.IEEE Transactions on Computers, 2023.

RISC-V Word-Size Modular Instructions for Residue Number Systems Gem5tune: A parameter auto-tuning framework for gem5 simulator to reduce errors.IEEE Transactions on Computers, 2023

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.115037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a893e6c6-15c1-4f05-959e-d2879bdd8638 · outbound

This paper cites Vector instruction set extensions for efficient computation of keccak.IEEE Transactions on Computers, 66(10):1778– 1789, 2017.

RISC-V Word-Size Modular Instructions for Residue Number Systems Vector instruction set extensions for efficient computation of keccak.IEEE Transactions on Computers, 66(10):1778– 1789, 2017

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.100315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2d84fec1-ad1a-4a25-87f0-37f729292688 · outbound

This paper cites RISC-V GNU compiler toolchain.

RISC-V Word-Size Modular Instructions for Residue Number Systems RISC-V GNU compiler toolchain

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.085501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cd7ec4d5-d2f8-47be-943f-10dbbe3a6b14 · outbound

This paper cites Risc5: Implementing the RISC-V ISA in gem5.

RISC-V Word-Size Modular Instructions for Residue Number Systems Risc5: Implementing the RISC-V ISA in gem5

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.071052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 90b8e5db-67f2-4335-ab6a-72b66565b6c9 · outbound

This paper cites Shenoy and R.

RISC-V Word-Size Modular Instructions for Residue Number Systems Shenoy and R

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.056686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3b5efd23-eaaa-400e-8a8f-12be66052e89 · outbound

This paper cites New York: McGraw-Hill, 1967.

RISC-V Word-Size Modular Instructions for Residue Number Systems New York: McGraw-Hill, 1967

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.042155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ac55f79c-8d07-431a-a015-921ce35c45a3 · outbound

This paper cites Embedded systems design with special arithmetic and number systems, chapter Fault-tolerant computing in redundant residue number system, pages 65–88.

RISC-V Word-Size Modular Instructions for Residue Number Systems Embedded systems design with special arithmetic and number systems, chapter Fault-tolerant computing in redundant residue number system, pages 65–88

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.027072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 30869f85-8012-41da-a552-709c2841f285 · outbound

This paper cites Residue arithmetic a tutorial with examples.Computer, 17(5):50–62, 1984.

RISC-V Word-Size Modular Instructions for Residue Number Systems Residue arithmetic a tutorial with examples.Computer, 17(5):50–62, 1984

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:52.011363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7fa71337-6f78-405b-99ab-bfb5fb44c893 · outbound

This paper cites PERI: A con- figurable posit enabled risc-v core.ACM Transactions on Architecture and Code Optimization (TACO), 18(3):1–26, 2021.

RISC-V Word-Size Modular Instructions for Residue Number Systems PERI: A con- figurable posit enabled risc-v core.ACM Transactions on Architecture and Code Optimization (TACO), 18(3):1–26, 2021

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:51.994193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 83c7437f-fb0a-4a8f-b514-88e2a9caa4d1 · outbound

This paper cites Application of the residue number system to reduce hardware costs of the convolutional neural network implementation.Mathematics and computers in simulation, 177:232–243, 2020.

RISC-V Word-Size Modular Instructions for Residue Number Systems Application of the residue number system to reduce hardware costs of the convolutional neural network implementation.Mathematics and computers in simulation, 177:232–243, 2020

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:51.979363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3773d74e-a1f7-4e0f-a4ac-129055161b4e · outbound

This paper cites Hardware-validated CPU performance and energy modelling.

RISC-V Word-Size Modular Instructions for Residue Number Systems Hardware-validated CPU performance and energy modelling

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:51.964280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation dbc5d57e-ee6e-43f6-84c3-bfd94a62b72d · outbound

This paper cites EECS Department, University of Cal- ifornia, Berkeley, 2019.

RISC-V Word-Size Modular Instructions for Residue Number Systems EECS Department, University of Cal- ifornia, Berkeley, 2019

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:43:51.949234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 11c03457-583c-4e1c-bfa3-4d6665aa4873 · outbound

This paper cites an unresolved cited work.

RISC-V Word-Size Modular Instructions for Residue Number Systems Unresolved cited work

Reference 236

Resolution: parse uncertain; raw_fallback, observed 2026-08-12T15:43:52.169526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

No inbound Pith citation observations are available.