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Paper Citation Record · LEDGER

Collective coordinate model of kink-antikink collisions in $\phi^4$ theory

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:2106.05153.

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

pith.paper-citation-record.v1
2106.05153 v2

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 2026-08-09T06:31:02.800959+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T11:11:25.117455Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T09:49:43.937844Z

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 878951e6-569c-41be-8aa5-bfbe7e94a226 · inbound

Nonlinear Dynamics of Kink Configurations: From Small to Large Kink Collisions cites this paper.

Nonlinear Dynamics of Kink Configurations: From Small to Large Kink Collisions Collective coordinate model of kink-antikink collisions in $\phi^4$ theory

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-05-21T22:50:43.503758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-21T22:46:19.447585Z digest=sha256:868f3209cadcd8b1ee948d8209e26dd964d1be685517d3fa6afd8cfef7d2d9cd

Observation 97b5ca7f-1d48-4c68-8294-e239af20c16d · inbound

Oscillons and bubbles in $Q$-ball dynamics cites this paper.

Oscillons and bubbles in $Q$-ball dynamics Collective coordinate model of kink-antikink collisions in $\phi^4$ theory

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-05T11:11:25.117455Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T11:11:25.117455Z digest=sha256:e1ae16207854c92db9608712a46efddeb5166aa08cf3686065c0c58e8825c817

Observation 910ed0e0-6bd9-426d-a2ba-8e59ab2b04af · inbound

Resonance phenomena in vortex-antivortex collisions cites this paper.

Resonance phenomena in vortex-antivortex collisions Collective coordinate model of kink-antikink collisions in $\phi^4$ theory

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-04T08:58:44.209137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T08:58:44.209137Z digest=sha256:ed5a1937069172de44ea6dd83dee18709e30b8525c2ceb80f63168e3ccaae4e3

Observation 976d92e5-97f0-4e95-b86f-a01eb481e78d · inbound

Unified theory of oscillons and modes cites this paper.

Unified theory of oscillons and modes Collective coordinate model of kink-antikink collisions in $\phi^4$ theory

Reference 52

Resolution
verified exact
arxiv_id, observed 2026-07-04T09:49:43.939344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-26T09:34:32.691814Z digest=sha256:acfd476f2f463f27aec7d3274ce4dcf793693766cb875d6af8d4ea8e9dcac226

Observation cf871c69-eeff-44a5-b6d8-ee12f3b9bfde · inbound

Kink collisions in a two-dimensional gravity model cites this paper.

Kink collisions in a two-dimensional gravity model Collective coordinate model of kink-antikink collisions in $\phi^4$ theory

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-02T04:47:15.758713Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T04:47:15.758713Z digest=sha256:34aef75ae7df5828c0af9d4673d407f439ba946a04a2016cb02198c3593023e2

Observation 2a35d6d7-a0dc-4e76-9e0c-1674d821ec90 · inbound

Kink collisions in a two-dimensional gravity model cites this paper.

Kink collisions in a two-dimensional gravity model Collective coordinate model of kink-antikink collisions in $\phi^4$ theory

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-04T04:25:16.843337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T04:25:16.843337Z digest=sha256:389091254a7196f77ed42a77ad69e77dba8a14513b5bb8f102c2074c9c49adbd