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Paper Citation Record · LEDGER

The rotation-invariant Hamiltonian problem is QMA$_{\rm EXP}$-complete

As of 7 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2509.00161.

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

pith.paper-citation-record.v1
2509.00161 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T14:09:20.569550Z

measured 14 of 14 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 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

14 of 14 outbound references displayed

  • verified exact11
  • verified fuzzy0
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation dbfc171e-616e-4b03-8128-6eb6c6c9d4b8 · outbound

This paper cites Commuting Local Hamiltonians on Expanders, Locally Testable Quantum codes, and the qPCP conjecture.

The rotation-invariant Hamiltonian problem is QMA$_{\rm EXP}$-complete Commuting Local Hamiltonians on Expanders, Locally Testable Quantum codes, and the qPCP conjecture

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-05T14:09:23.473643Z

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.

source=arxiv_source observed=2026-08-05T14:09:18.976143Z digest=sha256:89a7966c533e7c74d7f95d6bad9dc38a80d9814d2d558431ebe920116cd6ef4f

Observation f6728ee5-abdd-40fb-a4d0-6b7699d0064c · outbound

This paper cites The power of quantum systems on a line.

The rotation-invariant Hamiltonian problem is QMA$_{\rm EXP}$-complete The power of quantum systems on a line

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-05T14:09:19.059546Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T14:09:19.059546Z digest=sha256:b6d727018ab61e9f8dc36a2058ef06784be99c6be8d30c5cb57d517eb8cf3b9a

Observation 4ac815f7-286c-41ea-b05d-bb01ef0e3a81 · outbound

This paper cites Cubitt, and James D.

The rotation-invariant Hamiltonian problem is QMA$_{\rm EXP}$-complete Cubitt, and James D

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-05T14:09:19.155837Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T14:09:19.155837Z digest=sha256:8e8d2b5a1039ac7b61d53cb424bcc51c2a8b2ead96466f14b73ec713a71b328c

Observation 299f35d0-682c-49cb-ad78-2d8fad38c46b · outbound

This paper cites Brandao and Aram W.

The rotation-invariant Hamiltonian problem is QMA$_{\rm EXP}$-complete Brandao and Aram W

Reference 4

Resolution
verified exact
arxiv_id_nonexistent, observed 2026-08-05T14:09:23.258714Z

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.

source=arxiv_source observed=2026-08-05T14:09:19.242080Z digest=sha256:8e123698d6628e0485ff83381d6a29d4ec97d0da846dd113c2ca1bb3c25cb53f

Observation 01dc215b-3573-4c20-aea0-ae572ac1baa6 · outbound

This paper cites The complexity of translationally invariant low-dimensional spin lattices in 3d.

The rotation-invariant Hamiltonian problem is QMA$_{\rm EXP}$-complete The complexity of translationally invariant low-dimensional spin lattices in 3d

Reference 5

Resolution
verified exact
doi, observed 2026-08-05T14:09:22.341599Z

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.

source=arxiv_source observed=2026-08-05T14:09:19.377708Z digest=sha256:09abcc51db7cc80195d5812726ae60de4434d219d70562703c80ca1ca00191e3

Observation 8198bec2-81b0-4587-ab36-97b826d7b384 · outbound

This paper cites The quantum and classical complexity of translationally invariant tiling and hamiltonian problems.

The rotation-invariant Hamiltonian problem is QMA$_{\rm EXP}$-complete The quantum and classical complexity of translationally invariant tiling and hamiltonian problems

Reference 6

Resolution
verified exact
doi, observed 2026-08-05T14:09:22.037334Z

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.

source=arxiv_source observed=2026-08-05T14:09:19.484152Z digest=sha256:cab8a205412c16b3082e4dc4e0502d728c454f87e9ddeb7c9bc4f2bb7a7d05b6

Observation 93b219e7-2689-4b0d-970b-1973c20fa087 · outbound

This paper cites Translationally invariant universal classical Hamiltonians.

The rotation-invariant Hamiltonian problem is QMA$_{\rm EXP}$-complete Translationally invariant universal classical Hamiltonians

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-05T14:09:22.773146Z

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.

source=arxiv_source observed=2026-08-05T14:09:19.617896Z digest=sha256:c4d3ea7753b66bd5950d1e1190d91ad42ff4226383773251609808bca0ce74d8

Observation cef73e3c-8c0b-488f-b6ec-1a91e368b116 · outbound

This paper cites Kraus, Maciej Lewenstein, and J.

The rotation-invariant Hamiltonian problem is QMA$_{\rm EXP}$-complete Kraus, Maciej Lewenstein, and J

Reference 8

Resolution
verified exact
doi, observed 2026-08-05T14:09:21.839641Z

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.

source=arxiv_source observed=2026-08-05T14:09:19.762362Z digest=sha256:68eeb45e0bfef56891bd2be4d76a4ce87ac182f38239d8231dc125e0246a4ddb

Observation 9059a702-0f2b-4dab-91c6-9ec5dab8b004 · outbound

This paper cites an unresolved cited work.

The rotation-invariant Hamiltonian problem is QMA$_{\rm EXP}$-complete Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:09:23.771541Z

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.

source=arxiv_source observed=2026-08-05T14:09:19.914459Z digest=sha256:39dd2a3574f93e20fbd25d722101ef7e58b8a46c80803484eb9a4ad6988e29ca

Observation f038c215-db4b-4cef-adf0-e36c0ea21308 · outbound

This paper cites The complexity of quantum spin systems on a two-dimensional square lattice.

The rotation-invariant Hamiltonian problem is QMA$_{\rm EXP}$-complete The complexity of quantum spin systems on a two-dimensional square lattice

Reference 10

Resolution
verified exact
doi, observed 2026-08-05T14:09:21.565995Z

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.

source=arxiv_source observed=2026-08-05T14:09:20.083131Z digest=sha256:370f88bd9f7330f653c079b96042c53244e1d97f2a311ecf13071aeefbc897f5

Observation 76bb6d26-c8d8-4874-857a-ba58510d4cff · outbound

This paper cites Universal Translationally-Invariant Hamiltonians.

The rotation-invariant Hamiltonian problem is QMA$_{\rm EXP}$-complete Universal Translationally-Invariant Hamiltonians

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-05T14:09:22.574730Z

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.

source=arxiv_source observed=2026-08-05T14:09:20.212719Z digest=sha256:cb1117dc84f914aec312bfaccdfa8d4f5dd286ba68fee28317e453317f01085a

Observation 44691e10-c923-42a5-9e4e-50e168c8ee3a · outbound

This paper cites Rickwardt, P.

The rotation-invariant Hamiltonian problem is QMA$_{\rm EXP}$-complete Rickwardt, P

Reference 12

Resolution
verified exact
doi, observed 2026-08-05T14:09:21.270647Z

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.

source=arxiv_source observed=2026-08-05T14:09:20.317347Z digest=sha256:3917b4a81ab0089b51c3a421e9a27e2c29fd698ffa42568aea9f02f0727c9bf7

Observation b1762478-bfc9-47ee-9f6a-07f2bf305725 · outbound

This paper cites Graphs with given group and given graph-theoretical properties.

The rotation-invariant Hamiltonian problem is QMA$_{\rm EXP}$-complete Graphs with given group and given graph-theoretical properties

Reference 13

Resolution
verified exact
doi, observed 2026-08-05T14:09:21.029445Z

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.

source=arxiv_source observed=2026-08-05T14:09:20.428505Z digest=sha256:ade31e3f270446207bb2917dd77ddc38fb839373d2325813974075392b307b05

Observation 9868ce27-1fa0-4957-a52e-51af048e9d3b · outbound

This paper cites an unresolved cited work.

The rotation-invariant Hamiltonian problem is QMA$_{\rm EXP}$-complete Unresolved cited work

Reference 14

Resolution
verified exact
doi, observed 2026-08-05T14:09:20.788372Z

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.

source=arxiv_source observed=2026-08-05T14:09:20.569550Z digest=sha256:5c5d1786fc77f1cd46eea00ea5c1e1bd23b07aec477221e9bbbd4e0c41f01331

Pith citing papers

No inbound Pith citation observations are available.