Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-17T01:16:10.593191Z
Paper Citation Record · LEDGER
Achieving Approximate Symmetry Is Exponentially Easier than Exact Symmetry
As of 15 August 2026, this Paper Citation Record lists 5 of 5 outbound references and 2 inbound Pith citation observations for arXiv:2512.11855.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-12T00:34:34.834335Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-06-29T09:53:17.515541Z
Reference resolution
5 of 5 outbound references displayed
- verified exact1
- verified fuzzy3
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation e20132b2-a2f1-4d33-94a8-0f71809b8fc3 · outbound
This paper cites Approximately symmetric neural networks for quantum spin liquids.Physical Review Letters, 135 (5):056702.
Achieving Approximate Symmetry Is Exponentially Easier than Exact Symmetry Approximately symmetric neural networks for quantum spin liquids.Physical Review Letters, 135 (5):056702
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-17T01:18:49.042074Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 43ff3101-59a5-470f-811d-41d4848a8105 · outbound
This paper cites On the Burnside-Brauer-Steinberg theorem.
Achieving Approximate Symmetry Is Exponentially Easier than Exact Symmetry On the Burnside-Brauer-Steinberg theorem
Reference 2
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-05-17T01:18:48.311299Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e2d40253-794a-46e5-bcb6-f236179f5c01 · outbound
This paper cites Complete sets of representations of algebras.Proceedings of the American Math- ematical Society, 13(5):746–747.
Achieving Approximate Symmetry Is Exponentially Easier than Exact Symmetry Complete sets of representations of algebras.Proceedings of the American Math- ematical Society, 13(5):746–747
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-17T01:18:49.044952Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 929b28d5-fca6-451a-87e7-288d12dc46c8 · outbound
This paper cites User-friendly tail bounds for sums of random matrices.Foundations of computational mathematics, 12(4):389–434.
Achieving Approximate Symmetry Is Exponentially Easier than Exact Symmetry User-friendly tail bounds for sums of random matrices.Foundations of computational mathematics, 12(4):389–434
Reference 4
- Resolution
- verified exact
- arxiv_id, observed 2026-05-17T01:18:48.315825Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 23045daf-f3d9-4cdc-84f2-b35e0bad8bff · outbound
This paper cites appropriate.
Achieving Approximate Symmetry Is Exponentially Easier than Exact Symmetry appropriate
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-17T01:18:49.047963Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Pith citing papers
Observation b1b999fc-5a32-4172-990f-037657cc6f02 · inbound
Approximate label symmetries improve data efficiency cites this paper.
Approximate label symmetries improve data efficiency Achieving Approximate Symmetry Is Exponentially Easier than Exact Symmetry
Reference 30
- Resolution
- verified exact
- local_arxiv, observed 2026-06-29T09:53:17.517592Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 666701fd-be8f-4768-9d68-5201062af1b3 · inbound
Adaptive Symmetry Discovery for Dynamical System Identification cites this paper.
Adaptive Symmetry Discovery for Dynamical System Identification Achieving Approximate Symmetry Is Exponentially Easier than Exact Symmetry
Reference 73
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T00:34:34.834335Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.