Paper Citation Record · LEDGER

Phase structure analysis of CP(1) model with $\theta$ term by tensor renormalization group

As of 9 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2502.06135.

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

pith.paper-citation-record.v1
2502.06135 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T16:43:43.933861Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

18 of 18 outbound references displayed

verified exact6
verified fuzzy6
unresolved6
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 818edfb6-8a34-403c-8d79-439a6f2f30e0 · outbound

This paper cites Seiberg,Topology in strong coupling,Phys.

Phase structure analysis of CP(1) model with $\theta$ term by tensor renormalization group Seiberg,Topology in strong coupling,Phys

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:43:44.284067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation fdbf7f41-6c5d-4670-9459-6019aadb8965 · outbound

This paper cites A Strong-Coupling Analysis of the Lattice $CP^{N-1}$ Models in the Presence of a $\theta$ Term.

Phase structure analysis of CP(1) model with $\theta$ term by tensor renormalization group A Strong-Coupling Analysis of the Lattice $CP^{N-1}$ Models in the Presence of a $\theta$ Term

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-08T16:43:44.189990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0cf3a18f-6bda-4e9d-82f1-fcc7601b1c31 · outbound

This paper cites Haldane,Continuum dynamics of the 1-d heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model, Phys.

Phase structure analysis of CP(1) model with $\theta$ term by tensor renormalization group Haldane,Continuum dynamics of the 1-d heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model, Phys

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:43:44.268632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7466e564-d648-432d-bfed-aeeb564c7ff6 · outbound

This paper cites Haldane,Nonlinear field theory of large-spin heisenberg antiferromagnets: Semiclassically quantized solitons of the one-dimensional easy-axis néel state, Phys.

Phase structure analysis of CP(1) model with $\theta$ term by tensor renormalization group Haldane,Nonlinear field theory of large-spin heisenberg antiferromagnets: Semiclassically quantized solitons of the one-dimensional easy-axis néel state, Phys

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:43:44.254024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ce8ac522-804b-486d-989f-ffd331eb0f28 · outbound

This paper cites Affleck and F.D.M.

Phase structure analysis of CP(1) model with $\theta$ term by tensor renormalization group Affleck and F.D.M

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:43:44.238508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation eb32e84a-c2a6-43d9-b630-38f77ed1812a · outbound

This paper cites Affleck,Nonlinear𝜎 model at𝜃=𝜋: Euclidean lattice formulation and solid-on-solid models,Phys.

Phase structure analysis of CP(1) model with $\theta$ term by tensor renormalization group Affleck,Nonlinear𝜎 model at𝜃=𝜋: Euclidean lattice formulation and solid-on-solid models,Phys

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:43:44.223537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d338aac2-5f98-4a88-93d7-679972f79b20 · outbound

This paper cites Meron-Cluster Simulation of the $\theta$-Vacuum in the 2-d $O(3)$-Model.

Phase structure analysis of CP(1) model with $\theta$ term by tensor renormalization group Meron-Cluster Simulation of the $\theta$-Vacuum in the 2-d $O(3)$-Model

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-08T16:43:44.168223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 56a4e5da-e89b-4337-a41b-fbe8826b2b5b · outbound

This paper cites Critical behaviour of the O(3) nonlinear sigma model with topological term at theta=pi from numerical simulations.

Phase structure analysis of CP(1) model with $\theta$ term by tensor renormalization group Critical behaviour of the O(3) nonlinear sigma model with topological term at theta=pi from numerical simulations

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-08T16:43:44.146581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation bca360bb-bb04-43d2-8bd8-a24e133ac43f · outbound

This paper cites Mass gap in the 2D O(3) non-linear sigma model with a theta=pi term.

Phase structure analysis of CP(1) model with $\theta$ term by tensor renormalization group Mass gap in the 2D O(3) non-linear sigma model with a theta=pi term

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-08T16:43:44.123286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6197b8f6-cf14-45d3-b1b6-4e1fa95b896c · outbound

This paper cites Critical Behavior of CP^1 at theta = pi, Haldane's Conjecture and the Universality Class.

Phase structure analysis of CP(1) model with $\theta$ term by tensor renormalization group Critical Behavior of CP^1 at theta = pi, Haldane's Conjecture and the Universality Class

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-08T16:43:44.101113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6c6d5211-26a3-434a-97dc-4fde4d54adf1 · outbound

This paper cites Tensor renormalization group approach to 2D classical lattice models.

Phase structure analysis of CP(1) model with $\theta$ term by tensor renormalization group Tensor renormalization group approach to 2D classical lattice models

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-08T16:43:43.897124Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8f8afb2-2eaa-48d4-99d5-485ebb2980ba · outbound

This paper cites Loop-TNR analysis of CP(1) model with theta term.

Phase structure analysis of CP(1) model with $\theta$ term by tensor renormalization group Loop-TNR analysis of CP(1) model with theta term

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-08T16:43:44.061382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b1a224c9-f928-47f9-96a4-46e822ee6d02 · outbound

This paper cites Phase structure of the CP(1) model in the presence of a topological $\theta$-term.

Phase structure analysis of CP(1) model with $\theta$ term by tensor renormalization group Phase structure of the CP(1) model in the presence of a topological $\theta$-term

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-08T16:43:43.908217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b0a59075-c6eb-44e5-8314-1ff81c492d70 · outbound

This paper cites Tensor network formulation for two-dimensional lattice $\mathcal{N}=1$ Wess-Zumino model.

Phase structure analysis of CP(1) model with $\theta$ term by tensor renormalization group Tensor network formulation for two-dimensional lattice $\mathcal{N}=1$ Wess-Zumino model

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-08T16:43:43.913525Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ae397f2-cadb-40aa-aa93-a4aec41a4ef8 · outbound

This paper cites Genz,Fully symmetric interpolatory rules for multiple integrals over hyper-spherical surfaces, J.

Phase structure analysis of CP(1) model with $\theta$ term by tensor renormalization group Genz,Fully symmetric interpolatory rules for multiple integrals over hyper-spherical surfaces, J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:43:44.206385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e1811ba4-bb46-49a7-b87c-74396dd39ebc · outbound

This paper cites Coarse-graining renormalization by higher-order singular value decomposition.

Phase structure analysis of CP(1) model with $\theta$ term by tensor renormalization group Coarse-graining renormalization by higher-order singular value decomposition

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-08T16:43:43.923486Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 999274fb-4326-4d6c-a537-b931db23b230 · outbound

This paper cites Bond-weighted Tensor Renormalization Group.

Phase structure analysis of CP(1) model with $\theta$ term by tensor renormalization group Bond-weighted Tensor Renormalization Group

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-08T16:43:43.928667Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 81240ec6-cc13-4c49-a91a-b03613f09e2b · outbound

This paper cites Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order.

Phase structure analysis of CP(1) model with $\theta$ term by tensor renormalization group Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-08T16:43:43.933861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

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