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Paper Citation Record · LEDGER

Quantum Catalytic Space

As of 22 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 2 inbound Pith citation observations 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 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:29:07.043382Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T16:29:07.782332Z

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T23:53:16.021089Z digest=sha256:72b2150d753a5b2b17366274a5092696a502aadaa1aff878e60ee7531b743bb0

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T23:53:16.041378Z digest=sha256:50f51f221786fe7d5599f46e40c8e53d270e30ea7a4e1659f6d630bdc2390162

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T23:53:16.054364Z digest=sha256:c0cf2f4fc0be0e38d79f64c43b9eda3d0f455cb74d39769ceda11195c4ee0662

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T23:53:16.066262Z digest=sha256:8fde7f3aa01f520dfadf057eb68f6cffadf4b0e787edf4ddc87c5d8128d42620

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T23:53:16.059061Z digest=sha256:1064ba91e1269ed4571f3e96a0541ddd6b4349e7ee01f1e39726fe66ae3ba204

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T23:53:16.025796Z digest=sha256:76c858f9c1a7a5b1d2b109e6e63103334411c7bafe338d7ac6186903826682e4

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T23:53:16.037670Z digest=sha256:9869225ed9575e0dab91c67510a3249f03c8018fc08d811c69533386b6183a29

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T23:53:16.062754Z digest=sha256:dc7145cb2b42f645401bde08e9d097e06db781e82ff986137eeb2ec5375618d1

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T23:53:16.045382Z digest=sha256:6452c1ff10bce7acf8d5127b68cc2fee9cd20f0d5cf3f7b35ed5ef5936ee505c

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T23:53:16.033657Z digest=sha256:d665a65b83fbd0114ed3bd6666a84e642d3747952d631ce59a195e5372ff33bf

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T23:53:16.049550Z digest=sha256:bf0ffc86ffe897c2b4c0e0912b38102624b8ac8d85865ad31934d0475ad3b6f2

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T23:53:16.029823Z digest=sha256:8557f7b1ebd47d81b7ae977a5001ece95fb37c213b08655f8f861fa21a9e5bba

Pith citing papers

Observation cacc790b-68f0-4ef3-88ef-8d5356332d90 · inbound

Linear Matroid Intersection is in Catalytic Logspace cites this paper.

Linear Matroid Intersection is in Catalytic Logspace Quantum Catalytic Space

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-15T16:29:07.787490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-15T16:29:07.043382Z digest=sha256:f0b59696a3e1cc2311c03ff6f437f0ebf00423051b16bc95e173f3fcf6e0c0b1

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.

source=pdf_text observed=2026-08-04T13:28:46.517377Z digest=sha256:ed527e868471261f87e5dcfb110318e2251967757264c2614e014ad4870bc6d3