Paper Citation Record · LEDGER

Improved T counts and active volume estimates for high-level arithmetic subroutines

As of 20 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2504.19626.

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

pith.paper-citation-record.v1
2504.19626 v1

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T05:59:34.147475Z

measured 42 of 42 standing notices

One-hop event checks from named stored sources.

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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

42 of 42 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9ececab0-ba9d-49d3-91df-5c08a507ce19 · outbound

This paper cites How to factor 2048 bit rsa integers in 8 hours using 20 mil- lion noisy qubits,.

Improved T counts and active volume estimates for high-level arithmetic subroutines How to factor 2048 bit rsa integers in 8 hours using 20 mil- lion noisy qubits,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.784849Z

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Observation 5ddb431f-3695-42a4-836b-620f1de28748 · outbound

This paper cites Athresholdforquantumadvan- tage in derivative pricing,.

Improved T counts and active volume estimates for high-level arithmetic subroutines Athresholdforquantumadvan- tage in derivative pricing,

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.770512Z

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Observation c307b226-d042-4780-84f5-4c20c5d10cd4 · outbound

This paper cites Quantum computing enhanced computational catalysis,.

Improved T counts and active volume estimates for high-level arithmetic subroutines Quantum computing enhanced computational catalysis,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.756209Z

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Observation 446bbe90-57b7-4e4a-ac8f-dfd25cf20f70 · outbound

This paper cites Topological quantum memory,.

Improved T counts and active volume estimates for high-level arithmetic subroutines Topological quantum memory,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.741472Z

Source-reported events for the cited work

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Observation 767ce0a3-bdf7-40bd-a2d1-07669c94ddbf · outbound

This paper cites Fault-tolerant quantum com- putation by anyons,.

Improved T counts and active volume estimates for high-level arithmetic subroutines Fault-tolerant quantum com- putation by anyons,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.727308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 225b5c5b-45ae-4e2a-bb6d-a229ad05abe4 · outbound

This paper cites A game of surface codes: Large-scale quantum computing with lattice surgery,.

Improved T counts and active volume estimates for high-level arithmetic subroutines A game of surface codes: Large-scale quantum computing with lattice surgery,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.712249Z

Source-reported events for the cited work

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Observation a0770ce5-f94b-482d-90cb-01a1cee3eb2f · outbound

This paper cites Active volume: An architecture for efficient fault-tolerant quantum computers with limited non-local connections.

Improved T counts and active volume estimates for high-level arithmetic subroutines Active volume: An architecture for efficient fault-tolerant quantum computers with limited non-local connections

Reference 7

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Observation 0b3b8f38-7b8c-4c17-ac1b-4169210e1a3b · outbound

This paper cites Low overhead quantum computation using lattice surgery.

Improved T counts and active volume estimates for high-level arithmetic subroutines Low overhead quantum computation using lattice surgery

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-16T05:59:33.854927Z

Source-reported events for the cited work

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Observation a8a1bd76-a19e-4335-b340-40bf0d289c27 · outbound

This paper cites Uni- versal quantum computing with twist-free and temporally encoded lattice surgery,.

Improved T counts and active volume estimates for high-level arithmetic subroutines Uni- versal quantum computing with twist-free and temporally encoded lattice surgery,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.697673Z

Source-reported events for the cited work

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Observation b1886146-b044-4f43-bf99-4954254f3057 · outbound

This paper cites Interleaving: Modular architectures for fault-tolerant photonic quantum computing.

Improved T counts and active volume estimates for high-level arithmetic subroutines Interleaving: Modular architectures for fault-tolerant photonic quantum computing

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-16T05:59:33.881258Z

Source-reported events for the cited work

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Observation b8b879fd-09f3-4a82-bd77-995f45ba8857 · outbound

This paper cites Building a fault-tolerant quantum computer using con- catenated cat codes,.

Improved T counts and active volume estimates for high-level arithmetic subroutines Building a fault-tolerant quantum computer using con- catenated cat codes,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.683711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 9af39692-df87-4af6-91f4-3ae4e7b071ec · outbound

This paper cites How to compute a 256-bit el- liptic curve private key with only 50 million toffoli gates,.

Improved T counts and active volume estimates for high-level arithmetic subroutines How to compute a 256-bit el- liptic curve private key with only 50 million toffoli gates,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.670176Z

Source-reported events for the cited work

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Observation 53bad06a-dd6c-4759-a781-e2413b305d20 · outbound

This paper cites Efficient magic state cultivation on RP2,.

Improved T counts and active volume estimates for high-level arithmetic subroutines Efficient magic state cultivation on RP2,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.655879Z

Source-reported events for the cited work

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Observation 60beb42b-41bb-46d2-86c0-681bd03c7985 · outbound

This paper cites Universal quantum computation with ideal clifford gates and noisy ancillas,.

Improved T counts and active volume estimates for high-level arithmetic subroutines Universal quantum computation with ideal clifford gates and noisy ancillas,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.642088Z

Source-reported events for the cited work

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Observation 84d541da-6656-4466-95f1-1575636b7982 · outbound

This paper cites Magic-state distil- lation with low overhead,.

Improved T counts and active volume estimates for high-level arithmetic subroutines Magic-state distil- lation with low overhead,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.628972Z

Source-reported events for the cited work

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Observation fe5ec69e-8050-419f-babb-975fc684c1da · outbound

This paper cites Quantum algorithms and circuits for scientific computing,.

Improved T counts and active volume estimates for high-level arithmetic subroutines Quantum algorithms and circuits for scientific computing,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.599352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2cd0dd92-55fd-400f-a4d8-b3efaad98dfd · outbound

This paper cites Quantum circuits de- sign for evaluating transcendental functions based on a function-value binary expansion method,.

Improved T counts and active volume estimates for high-level arithmetic subroutines Quantum circuits de- sign for evaluating transcendental functions based on a function-value binary expansion method,

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.584751Z

Source-reported events for the cited work

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Observation bcf0bd6d-ff15-4e36-8899-d34bb6dbc481 · outbound

This paper cites T- count and qubit optimized quantum circuit design of the non-restoring square root al- gorithm,.

Improved T counts and active volume estimates for high-level arithmetic subroutines T- count and qubit optimized quantum circuit design of the non-restoring square root al- gorithm,

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.570561Z

Source-reported events for the cited work

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Observation 422f1808-3175-4605-90be-2bd693d40d13 · outbound

This paper cites Optimizing quantum circuits for arith- metic,.

Improved T counts and active volume estimates for high-level arithmetic subroutines Optimizing quantum circuits for arith- metic,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.614455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation aed176bf-f9b9-4de5-955e-7082c3876da9 · outbound

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

Improved T counts and active volume estimates for high-level arithmetic subroutines Quan- tum circuit design of a t-count optimized integer multiplier,

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.555719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 23686d51-2d70-4341-93d0-98756c1eb728 · outbound

This paper cites Quantum circuit designs of integer division optimizing t-count and t-depth,.

Improved T counts and active volume estimates for high-level arithmetic subroutines Quantum circuit designs of integer division optimizing t-count and t-depth,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.541940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5c146d1e-6d66-4792-9e35-1ab375d29c43 · outbound

This paper cites Interacting quantum observables: categorical alge- bra and diagrammatics,.

Improved T counts and active volume estimates for high-level arithmetic subroutines Interacting quantum observables: categorical alge- bra and diagrammatics,

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.528318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1ab6b7e5-85b2-4922-9c75-530c89953e70 · outbound

This paper cites Zx-calculus for the working quantum computer scientist,.

Improved T counts and active volume estimates for high-level arithmetic subroutines Zx-calculus for the working quantum computer scientist,

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.513668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 231d1fe5-6c22-4cac-96fd-79f1107d1540 · outbound

This paper cites Halving the cost of quantum ad- dition,.

Improved T counts and active volume estimates for high-level arithmetic subroutines Halving the cost of quantum ad- dition,

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.499060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 41ae9bd9-a606-4211-b8bd-6bb099e4080b · outbound

This paper cites Thapliyal, Mapping of Subtractor and Adder-Subtractor Circuits on Reversible Quantum Gates, pp.

Improved T counts and active volume estimates for high-level arithmetic subroutines Thapliyal, Mapping of Subtractor and Adder-Subtractor Circuits on Reversible Quantum Gates, pp

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.484595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 944a55da-e2d2-4a42-b9b4-24bdd24968b2 · outbound

This paper cites Quantum addition circuits and unbounded fan-out,.

Improved T counts and active volume estimates for high-level arithmetic subroutines Quantum addition circuits and unbounded fan-out,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.469831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 713d7313-2da0-4ec2-947e-4e4b821b211f · outbound

This paper cites Low-overhead constructions for the fault-tolerant toffoli gate,.

Improved T counts and active volume estimates for high-level arithmetic subroutines Low-overhead constructions for the fault-tolerant toffoli gate,

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.454967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 52ddbda6-c421-4e97-894e-883817ca7205 · outbound

This paper cites Layered architecture for quantum computing,.

Improved T counts and active volume estimates for high-level arithmetic subroutines Layered architecture for quantum computing,

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.440053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a70e0748-9960-4ae9-9ae9-a9fbdee1eba4 · outbound

This paper cites A class of ef- ficient quantum incrementer gates for quan- tum circuit synthesis,.

Improved T counts and active volume estimates for high-level arithmetic subroutines A class of ef- ficient quantum incrementer gates for quan- tum circuit synthesis,

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.425660Z

Source-reported events for the cited work

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Observation b8572df8-567b-4254-9b78-d6d570a68025 · outbound

This paper cites Two’s complement.

Improved T counts and active volume estimates for high-level arithmetic subroutines Two’s complement

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.411519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 74224ed7-ae22-488f-bad4-342c4514d711 · outbound

This paper cites The circuit design and optimization of quantum multiplier and divider,.

Improved T counts and active volume estimates for high-level arithmetic subroutines The circuit design and optimization of quantum multiplier and divider,

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.382357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 653b2d7a-dc1d-41f3-ae8b-2e8a434518f5 · outbound

This paper cites Polynomial-time quantum al- gorithms for pell’s equation and the prin- cipal ideal problem,.

Improved T counts and active volume estimates for high-level arithmetic subroutines Polynomial-time quantum al- gorithms for pell’s equation and the prin- cipal ideal problem,

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.368410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e66d3d8d-8f8f-431e-a36e-b4f7fb8171f6 · outbound

This paper cites Quantum al- gorithm for polynomial root finding prob- lem,.

Improved T counts and active volume estimates for high-level arithmetic subroutines Quantum al- gorithm for polynomial root finding prob- lem,

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.352299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 24764ca7-bd18-4bff-be00-6bd81784982b · outbound

This paper cites Reversible implementation of square-root circuit,.

Improved T counts and active volume estimates for high-level arithmetic subroutines Reversible implementation of square-root circuit,

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.337407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 0652556e-e4df-48ab-8683-5b1af635bcba · outbound

This paper cites A novel power efficient 0.64-gflops fused 32-bit reversible floating point arithmetic unit ar- chitecture for digital signal processing appli- cations,.

Improved T counts and active volume estimates for high-level arithmetic subroutines A novel power efficient 0.64-gflops fused 32-bit reversible floating point arithmetic unit ar- chitecture for digital signal processing appli- cations,

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.321608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 296d454e-f58a-43a4-a9aa-df37275c8b1d · outbound

This paper cites Quantum algorithm and circuit design solving the poisson equation,.

Improved T counts and active volume estimates for high-level arithmetic subroutines Quantum algorithm and circuit design solving the poisson equation,

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.305794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2255dc4c-e63d-48c1-b024-2c58a2df85fc · outbound

This paper cites Factoring using 2n+2 qubits with toffoli based modular multiplication,.

Improved T counts and active volume estimates for high-level arithmetic subroutines Factoring using 2n+2 qubits with toffoli based modular multiplication,

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.289629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a1ec70b6-f925-4f4e-b1f3-1dee625412cc · outbound

This paper cites Improved quan- tum circuits for elliptic curve discrete log- arithms,.

Improved T counts and active volume estimates for high-level arithmetic subroutines Improved quan- tum circuits for elliptic curve discrete log- arithms,

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.274901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation bae1dfbc-a6d0-4ab3-a54f-c3a48a038652 · outbound

This paper cites Cephes math library.

Improved T counts and active volume estimates for high-level arithmetic subroutines Cephes math library

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.260438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation dce80afa-e580-4e73-8e2f-7fe72c5bfaea · outbound

This paper cites The cordic trigonometric computing technique,.

Improved T counts and active volume estimates for high-level arithmetic subroutines The cordic trigonometric computing technique,

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:34.245641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation bdc074c9-2b80-4895-af6d-41e258000a7c · outbound

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

Improved T counts and active volume estimates for high-level arithmetic subroutines A logarithmic-depth quantum carry-lookahead adder,

Reference 42

Resolution: malformed identifier; raw_fallback, observed 2026-08-16T05:59:34.231156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 104899ec-8f64-4edb-b264-d7e7b9718bf0 · outbound

This paper cites an unresolved cited work.

Improved T counts and active volume estimates for high-level arithmetic subroutines Unresolved cited work

Reference 2012

Resolution: parse uncertain; raw_fallback, observed 2026-08-16T05:59:34.396622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

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