Paper Citation Record · LEDGER

Quantum Catalytic Space

As of 7 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 1 inbound Pith citation observation for arXiv:2506.16324.

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

pith.paper-citation-record.v1
2506.16324 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T23:53:16.066262Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T13:28:46.517377Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

12 of 12 outbound references displayed

verified exact2
verified fuzzy8
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6682d5f3-9818-43af-bbeb-99b8c1c2cbba · outbound

This paper cites Catalytic Embeddings of Quantum Circuits.

Quantum Catalytic Space Catalytic Embeddings of Quantum Circuits

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-06T23:53:16.151931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 76ada5cb-f6d0-42bb-af89-1eaf83b31eb1 · outbound

This paper cites Eliminating intermediate measurements in space-bounded quantum computation.

Quantum Catalytic Space Eliminating intermediate measurements in space-bounded quantum computation

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:16.211648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8ee7cc1e-8336-4139-bc79-e8622a06a6a5 · outbound

This paper cites Mixon (https://mathoverflow.net/users/29873/dustin-g mixon).

Quantum Catalytic Space Mixon (https://mathoverflow.net/users/29873/dustin-g mixon)

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:16.200095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e8b7c030-0439-49c4-8211-13d1bfabd8f2 · outbound

This paper cites Quantum circuit complexity.

Quantum Catalytic Space Quantum circuit complexity

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:16.163787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation aa11ddc1-3769-47cb-863b-f8662916d90f · outbound

This paper cites A note on amortized branching program complexity.

Quantum Catalytic Space A note on amortized branching program complexity

Reference 2009

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:16.188577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e4a7b8fc-6a6a-4c79-bd65-c05308cad0d7 · outbound

This paper cites Almost-catalytic Computation.

Quantum Catalytic Space Almost-catalytic Computation

Reference 2014

Resolution: metadata mismatch; local_arxiv, observed 2026-08-06T23:53:16.136041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 57044f83-a6ff-4873-899f-109579f866ea · outbound

This paper cites Fully characterizing lossy catalytic computation.

Quantum Catalytic Space Fully characterizing lossy catalytic computation

Reference 2015

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:16.223770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 785eaedb-339c-4cce-b904-008e762befa4 · outbound

This paper cites Sheffield, and William Wang.

Quantum Catalytic Space Sheffield, and William Wang

Reference 2017

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:16.175823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 47b4125b-787d-47b4-b1ec-b2ddaacf3d1c · outbound

This paper cites Lossy Catalytic Computation.

Quantum Catalytic Space Lossy Catalytic Computation

Reference 2021

Resolution: metadata mismatch; local_arxiv, observed 2026-08-06T23:53:16.118953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9b17dfb1-b1d2-418d-986c-625adc6a85e2 · outbound

This paper cites Tree evaluation is in spaceO(logn·log logn).

Quantum Catalytic Space Tree evaluation is in spaceO(logn·log logn)

Reference 2022

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:16.236313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e6644123-be6f-419a-8c16-b5ee898ea560 · outbound

This paper cites Quantum Logspace Algorithm for Powering Matrices with Bounded Norm.

Quantum Catalytic Space Quantum Logspace Algorithm for Powering Matrices with Bounded Norm

Reference 2024

Resolution: verified exact; local_arxiv, observed 2026-08-06T23:53:16.101355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3f4889b0-f754-410d-9fe3-24a75d4352d6 · outbound

This paper cites Trading time and space in catalytic branching programs.

Quantum Catalytic Space Trading time and space in catalytic branching programs

Reference 2025

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:16.247882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

Observation 35ddf1e4-a848-41b7-9ca0-335ee14b3983 · inbound

Flexible Catalysis cites this paper.

Flexible Catalysis Quantum Catalytic Space

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T13:28:46.517377Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.