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Paper Citation Record · LEDGER

Residue Number System (RNS) based Distributed Quantum Multiplication

As of 17 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2506.17588.

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

pith.paper-citation-record.v1
2506.17588 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:13:56.564699Z

measured 19 of 19 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

19 of 19 outbound references displayed

  • verified exact1
  • verified fuzzy10
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7ca2c140-0f6b-4092-a146-287eb358936c · outbound

This paper cites Algorithms for quantum computation: discrete logarithms and factoring,.

Residue Number System (RNS) based Distributed Quantum Multiplication Algorithms for quantum computation: discrete logarithms and factoring,

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-15T19:13:56.486620Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:13:56.486620Z digest=sha256:9dda22564117604708baaca4d52b86f6fc012049166d2906df3ba541fad5f3d6

Observation 25b862e6-e5f1-4edd-9ce4-49173bcdb1f4 · outbound

This paper cites A survey on hhl algorithm: From theory to application in quantum machine learning,.

Residue Number System (RNS) based Distributed Quantum Multiplication A survey on hhl algorithm: From theory to application in quantum machine learning,

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:13:56.829754Z

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=2026-08-15T19:13:56.492070Z digest=sha256:2367a31350f3bfda007a8f93a4710e964947a7d95fc2b0c2c677f9c7047b302d

Observation 2262434f-88a6-413d-aebd-35a805c238d0 · outbound

This paper cites Fast simulation of high-depth qaoa circuits,.

Residue Number System (RNS) based Distributed Quantum Multiplication Fast simulation of high-depth qaoa circuits,

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-15T19:13:56.496355Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:13:56.496355Z digest=sha256:267fa965056f7fbb6ad7a577c19dd81694f2aa4281bd5e2c80c1b01988cf6c70

Observation 454ccb37-0cc0-48dd-8cd3-9bebc7408943 · outbound

This paper cites Quantum circuit design of a t- count optimized integer multiplier,.

Residue Number System (RNS) based Distributed Quantum Multiplication Quantum circuit design of a t- count optimized integer multiplier,

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:13:56.806190Z

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=2026-08-15T19:13:56.500692Z digest=sha256:2173e26a11a334c5405ecb564be81d33fad1dd4786da53cf8a8f090fa4f9c40c

Observation 1d49017e-0d89-452f-8744-624d6d808a02 · outbound

This paper cites an unresolved cited work.

Residue Number System (RNS) based Distributed Quantum Multiplication Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:13:56.791729Z

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=2026-08-15T19:13:56.505167Z digest=sha256:66c9111dcdda1d7ac28bb36015a76672fb59496808ae4b6377aef4cde62aa398

Observation 8fd2ca95-a835-4c44-9307-3f02baec710a · outbound

This paper cites Quantum resource estimates for computing elliptic curve discrete logarithms,.

Residue Number System (RNS) based Distributed Quantum Multiplication Quantum resource estimates for computing elliptic curve discrete logarithms,

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:13:56.778788Z

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=2026-08-15T19:13:56.509526Z digest=sha256:7b85e789cc6ea4e03b20e6f3f3bcc714bdd04c63e6f74f974a004e21f5664085

Observation 21e705cc-07d0-4d09-99a2-d49b96d94a77 · outbound

This paper cites Another concrete quantum cryptanalysis of binary elliptic curves,.

Residue Number System (RNS) based Distributed Quantum Multiplication Another concrete quantum cryptanalysis of binary elliptic curves,

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:13:56.765129Z

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=2026-08-15T19:13:56.514116Z digest=sha256:c743ff3fbb381afa8945fb579d8b518fe0e0da8f294bf99f70588b79c37a7b1f

Observation 78b715af-3565-40a2-bbfb-4134068b1021 · outbound

This paper cites Mapping ncv circuits to optimized clifford+ t circuits,.

Residue Number System (RNS) based Distributed Quantum Multiplication Mapping ncv circuits to optimized clifford+ t circuits,

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:13:56.751885Z

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=2026-08-15T19:13:56.518412Z digest=sha256:ce6194616c48434cd60932923b55bc93f667144c026a5967bd6926abe581dd90

Observation cf8906cb-a173-421d-8d38-f38f1249077e · outbound

This paper cites An algorithm for the T-count.

Residue Number System (RNS) based Distributed Quantum Multiplication An algorithm for the T-count

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-15T19:13:56.522638Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:13:56.522638Z digest=sha256:72801652061a225963d99ae320d58072d25552c3977e045916283966ab5d4293

Observation 815d7515-2ae0-42b9-b660-1e2a66c906ce · outbound

This paper cites An algorithm for the t-count,.

Residue Number System (RNS) based Distributed Quantum Multiplication An algorithm for the t-count,

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:13:56.737974Z

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=2026-08-15T19:13:56.527162Z digest=sha256:8ac7de5dc6f64d79062c13889e18a700a1c899b29e932581714eed58e531edb8

Observation 503b4246-c884-48d3-848b-aae8f5b76ac4 · outbound

This paper cites Distributed quantum computing via inte- grating quantum and classical computing,.

Residue Number System (RNS) based Distributed Quantum Multiplication Distributed quantum computing via inte- grating quantum and classical computing,

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-15T19:13:56.531508Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:13:56.531508Z digest=sha256:cb37d4d5c76babf331883ed6fe35aabf91648bea9cb8eb1f370b610216c6c9ee

Observation 64489687-3693-42c5-8fd2-9331ebe4c0cb · outbound

This paper cites Review of Distributed Quantum Computing. From single QPU to High Performance Quantum Computing.

Residue Number System (RNS) based Distributed Quantum Multiplication Review of Distributed Quantum Computing. From single QPU to High Performance Quantum Computing

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-15T19:13:56.535596Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:13:56.535596Z digest=sha256:a047b49f831c83355d4a8bd2e6c8df85637ec01658c876b7401826dd1167af6d

Observation c7189adc-2ddd-40e9-9526-224436cc6550 · outbound

This paper cites Residue number system (rns) based distributed quantum addition,.

Residue Number System (RNS) based Distributed Quantum Multiplication Residue number system (rns) based distributed quantum addition,

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:13:56.715113Z

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=2026-08-15T19:13:56.539890Z digest=sha256:53a79ab1acaac90d6d8f50a094bbb52a2d8ca20578dd4aa0427f7a4e19c77f31

Observation c5d6c18c-da2b-4953-8d76-d38682350d57 · outbound

This paper cites Crosstalk Attack Resilient RNS Quantum Addition.

Residue Number System (RNS) based Distributed Quantum Multiplication Crosstalk Attack Resilient RNS Quantum Addition

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-15T19:13:56.630795Z

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=2026-08-15T19:13:56.543815Z digest=sha256:37504c008a823ad0c7b524168504c721d5f00ecbe4f55892b6d062baacb690cf

Observation 0ed06674-41db-407a-af47-04fe735859e1 · outbound

This paper cites A logarithmic-depth quantum carry-lookahead adder.

Residue Number System (RNS) based Distributed Quantum Multiplication A logarithmic-depth quantum carry-lookahead adder

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-15T19:13:56.547986Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:13:56.547986Z digest=sha256:e6e4cf3e7999cea05cfa657020998e21f29e3a45a931bab0763b72a84e462669

Observation b193a82b-14c6-4bcd-8986-6d62a540ceaf · outbound

This paper cites Reducing the number of qubits in quantum factoring,.

Residue Number System (RNS) based Distributed Quantum Multiplication Reducing the number of qubits in quantum factoring,

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:13:56.701524Z

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=2026-08-15T19:13:56.552666Z digest=sha256:5a58dc47a2941571f99ddcb3adcd142caf1c10ccb81c7cf16248c435937842e5

Observation bcd1d8d1-b597-4434-bde0-3f41da5504c6 · outbound

This paper cites How to factor 2048 bit RSA integers with less than a million noisy qubits.

Residue Number System (RNS) based Distributed Quantum Multiplication How to factor 2048 bit RSA integers with less than a million noisy qubits

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-15T19:13:56.556562Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:13:56.556562Z digest=sha256:8e1d0e47332d12f436418a58782ff9c47f04b18d0461c080b4debe15b90a922b

Observation b47f6d01-80b9-4837-a899-2819f832eef1 · outbound

This paper cites Error-correction coding using polynomial residue number system,.

Residue Number System (RNS) based Distributed Quantum Multiplication Error-correction coding using polynomial residue number system,

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:13:56.686508Z

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=2026-08-15T19:13:56.560831Z digest=sha256:715c47bd36b83c77767da5c106630b31253cafe0c4fbe6b6d852e1a1249a0d14

Observation 38b22046-38e6-40a0-95c7-b75835dc6175 · outbound

This paper cites Quantum modular multiplication,.

Residue Number System (RNS) based Distributed Quantum Multiplication Quantum modular multiplication,

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:13:56.672229Z

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=2026-08-15T19:13:56.564699Z digest=sha256:657a738acf6507a2bc38e135e24e37130bfdc73c03d23c5aaa23a5d0e2500fa1

Pith citing papers

No inbound Pith citation observations are available.