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Paper Citation Record · LEDGER

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

As of 10 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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T22:46:19.447585Z digest=sha256:12dcd7cc7c7533ea2b2af1263e57e8ea49089a13616b920df53a52545f82ecd2

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=sha256:035039c8559725a1144024d9202d4fee19d69ec69def1f37d6bd1d79ae4c63f7

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=sha256:39723ffcfde01f53c463bbff599dfa91148a932a4fa2a2568eeb35307de1f335

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-26T09:34:32.691814Z digest=sha256:f8a05c9bf92f52d5d0df35587e5c417baaf843a8ae900447bb4980ec57d5b3c1

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=sha256:8daa1fa2ad38bf2208bc20aeca37429519d3a1d513ba125d6112371a393a38bf

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=sha256:39b11329834d9f88d100b8e0ed8107530a09e4db6ec0bc1ccf64b01581fdebc9