{"as_of":"2026-08-10T19:29:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:cd47688df562c9918522b4eed6d80b764c94a9bfe72e54f0276c43175a368c8b","coverage":[{"denominator":28,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":28,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T07:51:08.041630Z","state":"measured"},{"denominator":28,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":28,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2607.08752/citation-record","integrity":"/paper/2607.08752/integrity","json":"/paper/2607.08752/citation-record.json","paper":"/paper/2607.08752"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:51:05.681420Z","title":"Vachaspati,Kinks and Domain Walls: An Introduction to Classical and Quantum Solitons(Cambridge University Press, Cambridge, 2006)","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.08752","last_updated":"2026-07-22T23:21:30Z","snapshot_observed_at":"2026-08-04T16:54:29.463673Z","submitted_at":"2026-07-09T17:50:48Z","title":"Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-02T07:51:05.681420Z"},"links":{"citing_paper":"/paper/2607.08752"},"observation_digest":"sha256:080d6594f516b7306fa1c58adf9fd75d3fb6eb3ddecc3ed293621970bee79a2e","observation_id":"607ebb09-dfbc-4284-8a44-45be3dc0bfb0","resolution":{"observed_at":"2026-08-02T07:51:05.681420Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:51:05.735002Z","title":"Vilenkin and E","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2607.08752","last_updated":"2026-07-22T23:21:30Z","snapshot_observed_at":"2026-08-04T16:54:29.463673Z","submitted_at":"2026-07-09T17:50:48Z","title":"Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-02T07:51:05.735002Z"},"links":{"citing_paper":"/paper/2607.08752"},"observation_digest":"sha256:adca456add03466dc5188b142f146cf61d9e7ac9d54295711c4d8915fd359da1","observation_id":"7c308e9c-7716-4344-888c-693f56f8d3f1","resolution":{"observed_at":"2026-08-02T07:51:05.735002Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:51:05.800236Z","title":"Manton and P","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2607.08752","last_updated":"2026-07-22T23:21:30Z","snapshot_observed_at":"2026-08-04T16:54:29.463673Z","submitted_at":"2026-07-09T17:50:48Z","title":"Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-02T07:51:05.800236Z"},"links":{"citing_paper":"/paper/2607.08752"},"observation_digest":"sha256:46720e57754675aec84c21f06ec0c79cd87deeb6b82d76333b325861aa2af1ae","observation_id":"cfea27f0-6326-440e-bfc2-092da8d130c3","resolution":{"observed_at":"2026-08-02T07:51:05.800236Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:51:05.917641Z","title":"Dauxois and M","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.08752","last_updated":"2026-07-22T23:21:30Z","snapshot_observed_at":"2026-08-04T16:54:29.463673Z","submitted_at":"2026-07-09T17:50:48Z","title":"Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-02T07:51:05.917641Z"},"links":{"citing_paper":"/paper/2607.08752"},"observation_digest":"sha256:066f51c9942f6fda3b5a0f204b22ee72fe6f2d6ce8ebdace2257093e7e969aee","observation_id":"563d30e0-5c05-48c0-90e7-97050369d316","resolution":{"observed_at":"2026-08-02T07:51:05.917641Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:51:06.011420Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2607.08752","last_updated":"2026-07-22T23:21:30Z","snapshot_observed_at":"2026-08-04T16:54:29.463673Z","submitted_at":"2026-07-09T17:50:48Z","title":"Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-02T07:51:06.011420Z"},"links":{"citing_paper":"/paper/2607.08752"},"observation_digest":"sha256:0007ed93f70dbf934ff73dde5df1b919d482920f1ccf306a04c92055d7327a6e","observation_id":"7d284c6b-42d3-4a21-b31e-c409b827a370","resolution":{"observed_at":"2026-08-02T07:51:06.011420Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:51:06.087365Z","title":null,"venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2607.08752","last_updated":"2026-07-22T23:21:30Z","snapshot_observed_at":"2026-08-04T16:54:29.463673Z","submitted_at":"2026-07-09T17:50:48Z","title":"Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-02T07:51:06.087365Z"},"links":{"citing_paper":"/paper/2607.08752"},"observation_digest":"sha256:5f8e82f92a4382d51dc32c65302f1f46f15f443c220d409beddb21f6c621332d","observation_id":"f0557454-7200-4dde-88a0-eff568b81aa5","resolution":{"observed_at":"2026-08-02T07:51:06.087365Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:51:06.175464Z","title":null,"venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.08752","last_updated":"2026-07-22T23:21:30Z","snapshot_observed_at":"2026-08-04T16:54:29.463673Z","submitted_at":"2026-07-09T17:50:48Z","title":"Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-02T07:51:06.175464Z"},"links":{"citing_paper":"/paper/2607.08752"},"observation_digest":"sha256:ee9f1cc18d56e49ff2f56de9160bf3fa2bbb0e3d4852dc8c5d5438ae889d75b7","observation_id":"2b06fb9e-6f62-4edb-9d3e-93a49abaf5ab","resolution":{"observed_at":"2026-08-02T07:51:06.175464Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:51:06.243268Z","title":null,"venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2607.08752","last_updated":"2026-07-22T23:21:30Z","snapshot_observed_at":"2026-08-04T16:54:29.463673Z","submitted_at":"2026-07-09T17:50:48Z","title":"Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-02T07:51:06.243268Z"},"links":{"citing_paper":"/paper/2607.08752"},"observation_digest":"sha256:01a049782b1d96c3c31322cd7743f502a1d7991d45c0c60fc3fb5fa1c534bc97","observation_id":"668ffec0-13fb-45ca-8f68-732df83969f8","resolution":{"observed_at":"2026-08-02T07:51:06.243268Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:51:06.316416Z","title":"Anninos, S","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2607.08752","last_updated":"2026-07-22T23:21:30Z","snapshot_observed_at":"2026-08-04T16:54:29.463673Z","submitted_at":"2026-07-09T17:50:48Z","title":"Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-02T07:51:06.316416Z"},"links":{"citing_paper":"/paper/2607.08752"},"observation_digest":"sha256:e8bcf0b3342bba4d8e5b96e8c761b761e14ec907157ae54fe7abcdaba3e2df37","observation_id":"fdc1aa77-4d10-4e58-95b1-be98712da4c7","resolution":{"observed_at":"2026-08-02T07:51:06.316416Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:51:06.387472Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2607.08752","last_updated":"2026-07-22T23:21:30Z","snapshot_observed_at":"2026-08-04T16:54:29.463673Z","submitted_at":"2026-07-09T17:50:48Z","title":"Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-02T07:51:06.387472Z"},"links":{"citing_paper":"/paper/2607.08752"},"observation_digest":"sha256:e4099e651084e544bb1381197fb2a863df8a65dfade48e8fa27978ad5778d2e7","observation_id":"46bbc68b-88e4-4120-be84-2cd22f1d78d3","resolution":{"observed_at":"2026-08-02T07:51:06.387472Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:51:06.465448Z","title":"Dorey, K","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.08752","last_updated":"2026-07-22T23:21:30Z","snapshot_observed_at":"2026-08-04T16:54:29.463673Z","submitted_at":"2026-07-09T17:50:48Z","title":"Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-02T07:51:06.465448Z"},"links":{"citing_paper":"/paper/2607.08752"},"observation_digest":"sha256:98de66cfce5093d4de1c65de9a1423788ca6a3272ebe7cdfa72f376b76528bc6","observation_id":"340078d2-624d-44c1-a7b6-01c4d596c01d","resolution":{"observed_at":"2026-08-02T07:51:06.465448Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:51:06.540757Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2607.08752","last_updated":"2026-07-22T23:21:30Z","snapshot_observed_at":"2026-08-04T16:54:29.463673Z","submitted_at":"2026-07-09T17:50:48Z","title":"Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-02T07:51:06.540757Z"},"links":{"citing_paper":"/paper/2607.08752"},"observation_digest":"sha256:0215ea92959eb723d7128d2d0deb7247c01f78e01b99f08d1476fe37b0aa5101","observation_id":"50046115-1995-4b82-94ce-39addb2c24b1","resolution":{"observed_at":"2026-08-02T07:51:06.540757Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:51:06.616758Z","title":null,"venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2607.08752","last_updated":"2026-07-22T23:21:30Z","snapshot_observed_at":"2026-08-04T16:54:29.463673Z","submitted_at":"2026-07-09T17:50:48Z","title":"Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-02T07:51:06.616758Z"},"links":{"citing_paper":"/paper/2607.08752"},"observation_digest":"sha256:f1a87ff437bb77e58d0c5f8d3929e35923fe3c296ff047407d97c71def874440","observation_id":"ede099e0-6049-4fec-860e-3108572d7486","resolution":{"observed_at":"2026-08-02T07:51:06.616758Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:51:06.684010Z","title":null,"venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2607.08752","last_updated":"2026-07-22T23:21:30Z","snapshot_observed_at":"2026-08-04T16:54:29.463673Z","submitted_at":"2026-07-09T17:50:48Z","title":"Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-02T07:51:06.684010Z"},"links":{"citing_paper":"/paper/2607.08752"},"observation_digest":"sha256:f636589f3c466f2d97359324e165cd44b9103cd06102c42509ee858cf32d4375","observation_id":"120b9b31-ae0a-45dc-8196-3ab8e5b6107e","resolution":{"observed_at":"2026-08-02T07:51:06.684010Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:51:06.762495Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.08752","last_updated":"2026-07-22T23:21:30Z","snapshot_observed_at":"2026-08-04T16:54:29.463673Z","submitted_at":"2026-07-09T17:50:48Z","title":"Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-02T07:51:06.762495Z"},"links":{"citing_paper":"/paper/2607.08752"},"observation_digest":"sha256:8b88de7727df98a4e1eb8ad777d50043853493cfa62967b26771f42eb4d3844d","observation_id":"3ed4ab70-98c2-414a-95c5-e4f616dfa487","resolution":{"observed_at":"2026-08-02T07:51:06.762495Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:51:06.836736Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.08752","last_updated":"2026-07-22T23:21:30Z","snapshot_observed_at":"2026-08-04T16:54:29.463673Z","submitted_at":"2026-07-09T17:50:48Z","title":"Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-02T07:51:06.836736Z"},"links":{"citing_paper":"/paper/2607.08752"},"observation_digest":"sha256:60d84c05a6675ae6e619f3df56dd83d4fc409c11bfc51412f427b8bf35ea0ba4","observation_id":"a8abc03c-3218-491b-a725-471788481f99","resolution":{"observed_at":"2026-08-02T07:51:06.836736Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:51:06.917961Z","title":"Nitta, Physical Review D,105(10)(2022), 105006","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.08752","last_updated":"2026-07-22T23:21:30Z","snapshot_observed_at":"2026-08-04T16:54:29.463673Z","submitted_at":"2026-07-09T17:50:48Z","title":"Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-02T07:51:06.917961Z"},"links":{"citing_paper":"/paper/2607.08752"},"observation_digest":"sha256:2cc49e86f389e69ffc1df3f8775a082ee9780afeac27a1e1f09139f459574a45","observation_id":"8e2fc12e-d05c-4345-b40e-782e104dc03e","resolution":{"observed_at":"2026-08-02T07:51:06.917961Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0509216","last_updated":"2005-12-19T14:23:58Z","snapshot_observed_at":"2026-07-07T04:55:18.555145Z","submitted_at":"2005-09-28T17:34:22Z","title":"TASI Lectures on Solitons","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0509216","snapshot_observed_at":"2026-08-02T07:51:06.986974Z","title":"Tong, TASI Lectures on Solitons [arXiv:hep-th/0509216]","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.08752","last_updated":"2026-07-22T23:21:30Z","snapshot_observed_at":"2026-08-04T16:54:29.463673Z","submitted_at":"2026-07-09T17:50:48Z","title":"Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-02T07:51:06.986974Z"},"links":{"cited_paper":"/paper/hep-th/0509216","citing_paper":"/paper/2607.08752"},"observation_digest":"sha256:7ce8d197fc927e7779f0547b207cd9447b7ede67f584ca5ae285f9fa4f83a8aa","observation_id":"79f5913f-4a8b-477e-885a-a4bbfbd0f51e","resolution":{"observed_at":"2026-08-02T07:51:06.986974Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:51:07.084850Z","title":"Mohammadi and N","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.08752","last_updated":"2026-07-22T23:21:30Z","snapshot_observed_at":"2026-08-04T16:54:29.463673Z","submitted_at":"2026-07-09T17:50:48Z","title":"Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-02T07:51:07.084850Z"},"links":{"citing_paper":"/paper/2607.08752"},"observation_digest":"sha256:c2f8dc2c06ae8ad24708a3f819ebeb47a12cbfcc03b9df3a7cfe90d2eef1dc12","observation_id":"1c6a68ab-add2-48c9-b1ec-5f19a732609d","resolution":{"observed_at":"2026-08-02T07:51:07.084850Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:51:07.185839Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.08752","last_updated":"2026-07-22T23:21:30Z","snapshot_observed_at":"2026-08-04T16:54:29.463673Z","submitted_at":"2026-07-09T17:50:48Z","title":"Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-02T07:51:07.185839Z"},"links":{"citing_paper":"/paper/2607.08752"},"observation_digest":"sha256:4b3b8ccf7328c11c250966007c41fd3b0cf8406d48d30727d9fc564bd2a3442d","observation_id":"9a0bc00c-24a5-4f81-9fd5-5792bbf306a7","resolution":{"observed_at":"2026-08-02T07:51:07.185839Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:51:07.322010Z","title":"Bowcock, D","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.08752","last_updated":"2026-07-22T23:21:30Z","snapshot_observed_at":"2026-08-04T16:54:29.463673Z","submitted_at":"2026-07-09T17:50:48Z","title":"Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-02T07:51:07.322010Z"},"links":{"citing_paper":"/paper/2607.08752"},"observation_digest":"sha256:6f1cd8d3fc059013e262a657b4c88f1c6271a536f857af1f32e4859eca6c3808","observation_id":"207e5900-165e-40f0-9519-85331337dfb9","resolution":{"observed_at":"2026-08-02T07:51:07.322010Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:51:07.426954Z","title":"Mohammadi, Phys","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.08752","last_updated":"2026-07-22T23:21:30Z","snapshot_observed_at":"2026-08-04T16:54:29.463673Z","submitted_at":"2026-07-09T17:50:48Z","title":"Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-02T07:51:07.426954Z"},"links":{"citing_paper":"/paper/2607.08752"},"observation_digest":"sha256:12576ed93884b16a0539bc12516ca82b8c8ee6065bb4d636073611c3a19ade7a","observation_id":"f4e119a9-f8ff-4979-a269-5152f434bc20","resolution":{"observed_at":"2026-08-02T07:51:07.426954Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:51:07.432336Z","title":"Saadatmand, S","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.08752","last_updated":"2026-07-22T23:21:30Z","snapshot_observed_at":"2026-08-04T16:54:29.463673Z","submitted_at":"2026-07-09T17:50:48Z","title":"Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-02T07:51:07.432336Z"},"links":{"citing_paper":"/paper/2607.08752"},"observation_digest":"sha256:f54f6722c7926a243b87e00f78c44cd6ae30f2e84c7fa53c59e6c19b39ec2ad9","observation_id":"b1053f05-a6ed-4614-b78e-d9869046ba8b","resolution":{"observed_at":"2026-08-02T07:51:07.432336Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:51:07.540892Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.08752","last_updated":"2026-07-22T23:21:30Z","snapshot_observed_at":"2026-08-04T16:54:29.463673Z","submitted_at":"2026-07-09T17:50:48Z","title":"Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-02T07:51:07.540892Z"},"links":{"citing_paper":"/paper/2607.08752"},"observation_digest":"sha256:fc14c6f8d414d955ecfe64cab5045c7981e0f5d58a0f173ae63708c79c0a0205","observation_id":"57f81439-e0d8-4cf2-94e8-4edb72bf17ec","resolution":{"observed_at":"2026-08-02T07:51:07.540892Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:51:07.682800Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.08752","last_updated":"2026-07-22T23:21:30Z","snapshot_observed_at":"2026-08-04T16:54:29.463673Z","submitted_at":"2026-07-09T17:50:48Z","title":"Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-02T07:51:07.682800Z"},"links":{"citing_paper":"/paper/2607.08752"},"observation_digest":"sha256:2b8c6a19ab3d20515c8449c0b1c337951fb70fb9b876f0fd7d75bb99df3b5c61","observation_id":"ebf3d17a-5a31-4295-aec7-b2b86f305a5a","resolution":{"observed_at":"2026-08-02T07:51:07.682800Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:51:07.822847Z","title":"Moradi Marjaneh, D","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.08752","last_updated":"2026-07-22T23:21:30Z","snapshot_observed_at":"2026-08-04T16:54:29.463673Z","submitted_at":"2026-07-09T17:50:48Z","title":"Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-02T07:51:07.822847Z"},"links":{"citing_paper":"/paper/2607.08752"},"observation_digest":"sha256:8dba1a8ef773c391219749a7abe3646477240690523138916d460d943dbc3612","observation_id":"169cf398-4473-4272-8069-38d9709c0e91","resolution":{"observed_at":"2026-08-02T07:51:07.822847Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:51:07.933386Z","title":"Mohammadi and E","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.08752","last_updated":"2026-07-22T23:21:30Z","snapshot_observed_at":"2026-08-04T16:54:29.463673Z","submitted_at":"2026-07-09T17:50:48Z","title":"Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-02T07:51:07.933386Z"},"links":{"citing_paper":"/paper/2607.08752"},"observation_digest":"sha256:d945d728ebdbc116f368859b33de8861019770c942c5c3500feeb4c74c483e38","observation_id":"d8de03b4-d8a8-47e9-a886-97a615fe49ac","resolution":{"observed_at":"2026-08-02T07:51:07.933386Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:51:08.041630Z","title":"Moradi Marjaneh, V","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.08752","last_updated":"2026-07-22T23:21:30Z","snapshot_observed_at":"2026-08-04T16:54:29.463673Z","submitted_at":"2026-07-09T17:50:48Z","title":"Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-02T07:51:08.041630Z"},"links":{"citing_paper":"/paper/2607.08752"},"observation_digest":"sha256:6bf80e84ed9fca23f18bc1662c19d00dc0e23c1bbdbf5989e713f2d1d91d27b6","observation_id":"85620a1a-4dcb-4795-a4c7-4d7b7f3c9ccb","resolution":{"observed_at":"2026-08-02T07:51:08.041630Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.08752","last_updated":"2026-07-22T23:21:30Z","latest_version":2,"primary_category":"hep-th","snapshot_observed_at":"2026-08-04T16:54:29.463673Z","submitted_at":"2026-07-09T17:50:48Z","title":"Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model"},"reference_resolution":{"displayed":28,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":28,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":28},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"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."}