Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Classification of Gapped Symmetric Phases in 1D Spin Systems
As of 6 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 10 inbound Pith citation observations for arXiv:1008.3745.
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 2026-08-06T06:34:29.942622+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-02T22:32:13.307902Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-10T05:16:47.581363Z
Reference resolution
0 of 0 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
No outbound reference observations are available for this paper version.
Pith citing papers
Observation 64ba8f36-ef39-4728-9aff-9ab5843ec3a9 · inbound
Self-$G$-ality in 1+1 dimensions cites this paper.
Self-$G$-ality in 1+1 dimensions Classification of Gapped Symmetric Phases in 1D Spin Systems
Reference 5
- Resolution
- verified exact
- local_arxiv, observed 2026-05-24T00:35:56.126106Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 181d9e7d-5e17-414e-ae23-bf046a6519a1 · inbound
Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders cites this paper.
Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders Classification of Gapped Symmetric Phases in 1D Spin Systems
Reference 56
- Resolution
- verified exact
- local_arxiv, observed 2026-05-19T08:07:11.457466Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 62c30b6a-4c50-4e96-89ef-a857a8ed6bfb · inbound
Tori, Klein Bottles, and Modulo 8 Parity/Time-reversal Anomalies of 2+1d Staggered Fermions cites this paper.
Tori, Klein Bottles, and Modulo 8 Parity/Time-reversal Anomalies of 2+1d Staggered Fermions Classification of Gapped Symmetric Phases in 1D Spin Systems
Reference 30
- Resolution
- verified exact
- local_arxiv, observed 2026-05-16T17:58:12.754423Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 5782cc4f-dcc0-42b0-9f61-d8d68fcb222d · inbound
Symmetry Spans and Enforced Gaplessness cites this paper.
Symmetry Spans and Enforced Gaplessness Classification of Gapped Symmetric Phases in 1D Spin Systems
Reference 94
- Resolution
- verified exact
- local_arxiv, observed 2026-05-16T03:27:13.275338Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation c89e9e25-8ffa-4a35-baf0-dd72ea59cf39 · inbound
From Multipartite Entanglement to TQFT cites this paper.
From Multipartite Entanglement to TQFT Classification of Gapped Symmetric Phases in 1D Spin Systems
Reference 59
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T22:32:13.307902Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8b3b9250-930f-4917-94b9-721aa8abfb19 · inbound
Matrix Product States for Modulated Topological Phases: Crystalline Equivalence Principle and Lieb-Schultz-Mattis Constraints cites this paper.
Matrix Product States for Modulated Topological Phases: Crystalline Equivalence Principle and Lieb-Schultz-Mattis Constraints Classification of Gapped Symmetric Phases in 1D Spin Systems
Reference 50
- Resolution
- verified exact
- local_arxiv, observed 2026-05-15T07:55:15.017282Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation b9adc248-2181-432a-aa93-e8a9328ce78e · inbound
A local description of strong symmetries and strong-to-weak symmetry breaking in quantum many-body systems cites this paper.
A local description of strong symmetries and strong-to-weak symmetry breaking in quantum many-body systems Classification of Gapped Symmetric Phases in 1D Spin Systems
Reference 13
- Resolution
- verified exact
- local_arxiv, observed 2026-06-29T11:43:23.220183Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 363d533f-4bc7-495e-8a87-f4cad194a050 · inbound
$E_\infty^{1,2}$-type Lieb-Schultz-Mattis anomalies, deconfined quantum critical points, and non-invertible symmetry breaking cites this paper.
$E_\infty^{1,2}$-type Lieb-Schultz-Mattis anomalies, deconfined quantum critical points, and non-invertible symmetry breaking Classification of Gapped Symmetric Phases in 1D Spin Systems
Reference 45
- Resolution
- verified exact
- local_arxiv, observed 2026-07-02T15:47:06.546102Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 73c15edd-7423-4dc9-bf66-b4c4c7e9bd94 · inbound
Microscopic universal theory of symmetry-enriched topological quantum spin liquids cites this paper.
Microscopic universal theory of symmetry-enriched topological quantum spin liquids Classification of Gapped Symmetric Phases in 1D Spin Systems
Reference 55
- Resolution
- verified exact
- local_arxiv, observed 2026-07-02T23:27:27.322060Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation f4c1f92e-5a71-4b4e-94df-767039522328 · inbound
Renormalization flows for 1D mixed states and a quantum Goursat lemma cites this paper.
Renormalization flows for 1D mixed states and a quantum Goursat lemma Classification of Gapped Symmetric Phases in 1D Spin Systems
Reference 5
- Resolution
- verified exact
- local_arxiv, observed 2026-07-10T05:16:47.583152Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.