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Paper Citation Record · LEDGER

The Sum Over Topological Sectors and $\theta$ in the 2+1-Dimensional $\mathbb{C}\mathbb{P}^1$ $\sigma$-Model

As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:1707.05448.

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

pith.paper-citation-record.v1
1707.05448 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 6 of 6 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T05:34:13.177074Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-05-21T13:21:27.338201Z

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 7f7064b4-5e98-4ad2-9a0c-2af4b107d956 · inbound

Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond cites this paper.

Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond The Sum Over Topological Sectors and $\theta$ in the 2+1-Dimensional $\mathbb{C}\mathbb{P}^1$ $\sigma$-Model

Reference 285

Resolution
verified exact
local_arxiv, observed 2026-05-21T13:21:27.339831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-21T13:21:27.164386Z digest=sha256:d0941f42e553c55e84fb76a9136eca3115f6f4554ce665428db428a1a6437b15

Observation 357b0a58-0b2d-40c5-922f-6e34ed797dff · inbound

Infrared properties of two-dimensional $\mathrm{SU}(N)/H$ nonlinear $\sigma$ models at nonzero $\theta$ angles cites this paper.

Infrared properties of two-dimensional $\mathrm{SU}(N)/H$ nonlinear $\sigma$ models at nonzero $\theta$ angles The Sum Over Topological Sectors and $\theta$ in the 2+1-Dimensional $\mathbb{C}\mathbb{P}^1$ $\sigma$-Model

Reference 82

Resolution
unresolved
no resolver link, observed 2026-08-11T05:34:13.177074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:34:13.177074Z digest=sha256:8e6899b274bfc90a11b558f577797d3dc37d7999d2e131ee6d477c8f304d9441

Observation 6a607a1d-641d-4a29-8562-2f9ac5b64fd5 · inbound

Anomaly Matching in 6d $\mathcal{N}=(2,0)$ SCFTs from M5 Cobordism cites this paper.

Anomaly Matching in 6d $\mathcal{N}=(2,0)$ SCFTs from M5 Cobordism The Sum Over Topological Sectors and $\theta$ in the 2+1-Dimensional $\mathbb{C}\mathbb{P}^1$ $\sigma$-Model

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-10T21:35:41.879732Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T21:35:41.879732Z digest=sha256:08d1c2a87f97257e4cedad20cc9786736d89f5186936e0e9b8b7385f8af51755

Observation a6c4f65e-98cc-4aff-9dc6-fdbf1fd8862d · inbound

Symmetry theta angles and topological Witten effects cites this paper.

Symmetry theta angles and topological Witten effects The Sum Over Topological Sectors and $\theta$ in the 2+1-Dimensional $\mathbb{C}\mathbb{P}^1$ $\sigma$-Model

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-06T21:32:23.153615Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:32:23.153615Z digest=sha256:4584d7d11e8d5147f4f2990867b4d98d7a501659a769ecd13a953428e31ae3d7

Observation 4167b80c-0aef-4ce0-8d4b-00f0b442c29d · inbound

Bosonization versus the Nielsen-Ninomiya theorem cites this paper.

Bosonization versus the Nielsen-Ninomiya theorem The Sum Over Topological Sectors and $\theta$ in the 2+1-Dimensional $\mathbb{C}\mathbb{P}^1$ $\sigma$-Model

Reference 78

Resolution
unresolved
no resolver link, observed 2026-07-14T14:29:24.660809Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T14:29:24.660809Z digest=sha256:88de03d5d993540483c2ac603970f46e0138cad628846005fa37d2e0fd70655b

Observation 7e13df81-0166-432f-9115-e9fe0fa5c9af · inbound

Bosonization versus the Nielsen-Ninomiya theorem cites this paper.

Bosonization versus the Nielsen-Ninomiya theorem The Sum Over Topological Sectors and $\theta$ in the 2+1-Dimensional $\mathbb{C}\mathbb{P}^1$ $\sigma$-Model

Reference 76

Resolution
unresolved
no resolver link, observed 2026-08-02T07:43:54.892985Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T07:43:54.892985Z digest=sha256:08a06ea1c18007697c5f9cd57be0af71b304a18952162ccc2fe98c4b0c3a34d3