Paper Citation Record · LEDGER

Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model

As of 10 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2607.08752.

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

pith.paper-citation-record.v1
2607.08752 v2

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T07:51:08.041630Z

measured 28 of 28 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 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

28 of 28 outbound references displayed

verified exact0
verified fuzzy0
unresolved28
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 607ebb09-dfbc-4284-8a44-45be3dc0bfb0 · outbound

This paper cites Vachaspati,Kinks and Domain Walls: An Introduction to Classical and Quantum Solitons(Cambridge University Press, Cambridge, 2006).

Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model Vachaspati,Kinks and Domain Walls: An Introduction to Classical and Quantum Solitons(Cambridge University Press, Cambridge, 2006)

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T07:51:05.681420Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7c308e9c-7716-4344-888c-693f56f8d3f1 · outbound

This paper cites Vilenkin and E.

Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model Vilenkin and E

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T07:51:05.735002Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cfea27f0-6326-440e-bfc2-092da8d130c3 · outbound

This paper cites Manton and P.

Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model Manton and P

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T07:51:05.800236Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 563d30e0-5c05-48c0-90e7-97050369d316 · outbound

This paper cites Dauxois and M.

Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model Dauxois and M

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T07:51:05.917641Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7d284c6b-42d3-4a21-b31e-c409b827a370 · outbound

This paper cites an unresolved cited work.

Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T07:51:06.011420Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f0557454-7200-4dde-88a0-eff568b81aa5 · outbound

This paper cites an unresolved cited work.

Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T07:51:06.087365Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2b06fb9e-6f62-4edb-9d3e-93a49abaf5ab · outbound

This paper cites an unresolved cited work.

Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T07:51:06.175464Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 668ffec0-13fb-45ca-8f68-732df83969f8 · outbound

This paper cites an unresolved cited work.

Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T07:51:06.243268Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fdc1aa77-4d10-4e58-95b1-be98712da4c7 · outbound

This paper cites Anninos, S.

Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model Anninos, S

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T07:51:06.316416Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 46bbc68b-88e4-4120-be84-2cd22f1d78d3 · outbound

This paper cites an unresolved cited work.

Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T07:51:06.387472Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 340078d2-624d-44c1-a7b6-01c4d596c01d · outbound

This paper cites Dorey, K.

Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model Dorey, K

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T07:51:06.465448Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 50046115-1995-4b82-94ce-39addb2c24b1 · outbound

This paper cites an unresolved cited work.

Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T07:51:06.540757Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ede099e0-6049-4fec-860e-3108572d7486 · outbound

This paper cites an unresolved cited work.

Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T07:51:06.616758Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 120b9b31-ae0a-45dc-8196-3ab8e5b6107e · outbound

This paper cites an unresolved cited work.

Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T07:51:06.684010Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3ed4ab70-98c2-414a-95c5-e4f616dfa487 · outbound

This paper cites an unresolved cited work.

Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-02T07:51:06.762495Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a8abc03c-3218-491b-a725-471788481f99 · outbound

This paper cites an unresolved cited work.

Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T07:51:06.836736Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8e2fc12e-d05c-4345-b40e-782e104dc03e · outbound

This paper cites Nitta, Physical Review D,105(10)(2022), 105006.

Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model Nitta, Physical Review D,105(10)(2022), 105006

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T07:51:06.917961Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 79f5913f-4a8b-477e-885a-a4bbfbd0f51e · outbound

This paper cites TASI Lectures on Solitons.

Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model TASI Lectures on Solitons

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T07:51:06.986974Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1c6a68ab-add2-48c9-b1ec-5f19a732609d · outbound

This paper cites Mohammadi and N.

Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model Mohammadi and N

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T07:51:07.084850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a0bc00c-24a5-4f81-9fd5-5792bbf306a7 · outbound

This paper cites an unresolved cited work.

Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-02T07:51:07.185839Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 207e5900-165e-40f0-9519-85331337dfb9 · outbound

This paper cites Bowcock, D.

Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model Bowcock, D

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-02T07:51:07.322010Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f4e119a9-f8ff-4979-a269-5152f434bc20 · outbound

This paper cites Mohammadi, Phys.

Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model Mohammadi, Phys

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-02T07:51:07.426954Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b1053f05-a6ed-4614-b78e-d9869046ba8b · outbound

This paper cites Saadatmand, S.

Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model Saadatmand, S

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-02T07:51:07.432336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 57f81439-e0d8-4cf2-94e8-4edb72bf17ec · outbound

This paper cites an unresolved cited work.

Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-02T07:51:07.540892Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ebf3d17a-5a31-4295-aec7-b2b86f305a5a · outbound

This paper cites an unresolved cited work.

Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-02T07:51:07.682800Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 169cf398-4473-4272-8069-38d9709c0e91 · outbound

This paper cites Moradi Marjaneh, D.

Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model Moradi Marjaneh, D

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-02T07:51:07.822847Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d8de03b4-d8a8-47e9-a886-97a615fe49ac · outbound

This paper cites Mohammadi and E.

Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model Mohammadi and E

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-02T07:51:07.933386Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 85620a1a-4dcb-4795-a4c7-4d7b7f3c9ccb · outbound

This paper cites Moradi Marjaneh, V.

Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model Moradi Marjaneh, V

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-02T07:51:08.041630Z

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Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.