{"as_of":"2026-08-04T10:45:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:879bbea375fc85b6fe2c96023244ce17369d5b5d785e814dcb3ad3302f31bb73","coverage":[{"denominator":38,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":38,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-29T15:59:27.176617Z","state":"measured"},{"denominator":38,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":38,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-04T06:34:03.388597+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/2605.27070/citation-record","integrity":"/paper/2605.27070/integrity","json":"/paper/2605.27070/citation-record.json","paper":"/paper/2605.27070"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T15:59:27.176617Z","title":"The situation described above can be formalized - and in fact greatly generalized at the level of the second-order equations, through the notion of weak solutions","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:2688567c9d28a7dea1ec6f2940d0f20ac2c805db895a4a811797e0ce300a23d4","observation_id":"c4d3e314-f3f4-40d1-ae41-b4631d4c436a","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:c587bb8c9407dd05f328e19f0dbbfbfce7d562538af460240499e09372f6749d","observation_id":"cec0d217-87f4-4b3e-a4f9-f684d4bdb9fa","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":"Both of these solutions present a half-compact profile, as the singularity at x = x0 forces Wφ |x=x0 = 0, thus forcing φ to attain a vacuum value at this point","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:37c94da81df066e9aad7875cab2b64e32d242633e447f75ee409e5de9b266adb","observation_id":"c3e95c92-be1b-4677-bf60-ad5c22c367d8","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":"When impurities are added, Wφ must still vanish at the zeros of P , but compactification does not occur since there remains a nonzero contribution from σ (x)","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:a7d39adf000d0e120447cc3e636481d49953659165b99278742effc91e868186","observation_id":"ad1a2362-ec11-4783-8161-ac40d4125efc","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":"plus” branch with n = 0) towards φ = − arctan(1) + π = 3π/ 4, which belongs to the “minus","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:f368f1cc85f58fa352469ce37a212b867c0eab8c76c94979aaf77edbe47ec807","observation_id":"8eabb7df-7578-4274-ba6f-a610958d4533","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:748a55bb3b0242c5d93c68e429b77855285eabb697fbef92433b5376389edc29","observation_id":"68486367-a365-473d-97b4-5530c8895698","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":"internal","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:0d1798305f4e9d395490363c2d0dea144b01d2ba41bd3af14b065681aff1e976","observation_id":"38464598-2642-4c83-bf1e-7a187ca1967e","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:b1de1d60fe4553669a334e5fdcef362302a4de328a62312ee0805a3b170d49aa","observation_id":"15e8bcd1-1e4b-44fa-b9d1-c3de0c17cdb4","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":null,"venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:5f9d8783eec460de2219d5f59eb338c121b45afead169f94016a1daaee4dabef","observation_id":"94397a5d-192a-41d6-8348-e1eb9084aaeb","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":"Zhang, Y","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:e67f977fc42e5ab13d6d8b725354a694af8d349eb563df370ff706b10266ff27","observation_id":"6634b227-6531-4b82-a903-d4081d465513","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":"Zhang, Y","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:3e328fc7659f7f6d5364e4349bf7644a60de31210de80e83e81a7576d85d88b6","observation_id":"80e11fce-dd09-438f-955e-a7795ac44ebc","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:56759190f0ae975cc725e98eb5ef5fbe2695de0535a4cffcc50c5de78a9a3e30","observation_id":"f9177835-67ff-4865-bc5d-7e718c070aaf","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":"Adam and A","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:4df9eee90fbb90bd6faa01c3396bd11ea160b8290023d35a19190708b3f82fef","observation_id":"97bb2453-3152-48b3-beaa-69d9db18bb3a","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:14b699e01cf6a3811b0fa10862275e76e7388b1ee3e7b9b0c4c633c56ec52070","observation_id":"424cd02a-63e9-4069-abf7-fb08e4e0cfb9","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":"S/suppress lawi´ nska, Phys","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:6447f57961f3de50450b85f561820a8709ce71428471734390a015b2bb3f8c7a","observation_id":"bc8db5a9-bb87-49c3-b4f8-b42747cf4e30","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":"Bazeia, M","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:23917d3b5feef64368048f4664bdbb444962a7da873f2085798b4002b8609b64","observation_id":"4fe1d6bb-5245-46b0-8511-15163e6501c6","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":"Bazeia, M","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:1c29624afda5e77cbd4d56d1d5e00e9ff326b9122d2fe2d267923629dbe41634","observation_id":"46e7ace7-a6e1-47bb-b093-f7c8454a969d","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":"Bazeia, M","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:43c037e59797f6b23ce4edd4a6b08966decfc2aa8daab70b0516c7b4679f4b39","observation_id":"986176f5-c577-47b7-97b2-cc07341e89b7","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":"Bazeia, M","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:9554f4ff110b1486048cd8673c699228972c00635a93869cf7d7fdc9a27d7325","observation_id":"d823e88d-0cd9-42fd-8f1c-a2564ae18777","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":"Bazeia, M.A","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:fc22be9be3ef4effe3ba6640eab5a55353da4870b32eee25bf0fabf73d46516b","observation_id":"446b83ff-5177-480b-80e6-f778590480b1","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":"Andrade and R","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:2df099138bd8b5b6d7655ccd566fc97ea64aa129cccd56da96259ed789c16888","observation_id":"a3d43992-431e-4b4d-8df0-fc2a233dcd3a","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:d0acf528e91e9d9ae13e9c67ad4fc09b89e216e288b0fdd0d9be2f38f94f479e","observation_id":"eef24427-70e9-4144-b70e-b1645b62ace9","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":"Marques and R","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:2aabdd72476632c8de7db6dd4e6fb8f0ad29b658a2fc795e23be4e699e3549aa","observation_id":"c1c99cff-12c1-4b0f-9720-5a9730a9a19d","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":"Gomes and Fabiano C","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:3f4687f499f586ca75da1494ff1f600bb29d6ae76ff175c6aa00894e5ee0606c","observation_id":"1f8289a7-9e6b-4953-b1e8-e6527c234823","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":"Bazeia and R","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:44120aea7653fa83f5972c166104289488f4f12dae92212b9e52ba7c4236d67e","observation_id":"9f35bf36-65fc-4de3-b99f-f9688276b686","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":"Casana, E","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:94bb8c86cc268123b8d1e237216540366b5bcc87fbb65fa7146a663254fab937","observation_id":"2d812b7d-eb6e-4f1e-a195-e20ca5b08d9a","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":"da Hora, L","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:53eb420efbce7efe5528c713ac9a28f315e269b2041c4be4bb600d398ccb7717","observation_id":"5d6f3cb0-eab8-4f8a-9bc5-d825d76b1522","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:717d39cb7ee53cac94d4f7330e1775e4d4fa2410df9bb38f632f26ddf55c0af6","observation_id":"79b4cb2f-4580-498c-bbb2-fa0621811b09","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":"Rajaraman, Solitons and instantons: an introduction to solitons and instantons in quantum field theory , North- Holland (1984)","venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:72631be46befab395699b113a0361cdfec73543d096e906be876f39402a2891b","observation_id":"113cb505-707b-4e54-849b-d54117a478bf","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:4249cc6978c9b5880fd65c7cdc4fd3c7b9623abb0bed72008e3360d0e7c85589","observation_id":"3401b40e-134b-46b5-af68-acd5cefdfd8b","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":null,"venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:fcc3be2d5ee2ee06906e3631671e0c8ed455ff577a769d044f861e591936a9c9","observation_id":"314a5e35-d0f5-4136-aa21-69ab443430c4","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":"Manton and P","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:b1602e990e06290d6b96844c3371e52de6b20bf6f6137db7ad58fe07de5bcc61","observation_id":"262a57a4-9b45-4f28-8078-f325f50c0b46","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":"Brezis, Functional analysis, Sobolev spaces and partial differential equations , Springer (2010)","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:029d1aea402f21be4f760bea77e883963405a73098c95c03ab2ceec2e465c32c","observation_id":"221cea98-213a-47e5-8d9a-a54cb732eb46","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:68ade779b1982611bc101eeba74f772da906324442963d553e506d1bdb75b25b","observation_id":"cc116ea9-4bb0-4132-b088-02f845b0db7a","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":"Arod´ z, Acta Phys","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:44fc5de5840972576b6fd602ca05bed3b59094cd1415a91f94c9ef3031e9e75f","observation_id":"0f7bd6ac-2d8a-4ab9-a90c-930c7fdf5cfe","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":"Bazeia and F","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:ba0eb05a7216132c58b0b4f187ae240221f32a0cbb375b8c49c8dd4578fe6a23","observation_id":"e05f8c98-40f9-4c8d-b0ed-a70dfab5c27f","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:5bf5043d97ef6164bb57bb8e67c03730bdcb99471f671dcd51ab88618e6210cf","observation_id":"485c1db5-f114-42d3-b493-b9486d22be7e","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","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":"2026-06-29T15:59:27.176617Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-06-29T15:59:27.176617Z"},"links":{"citing_paper":"/paper/2605.27070"},"observation_digest":"sha256:9bea1f3cd231bb5e8afc0b39013fedbe47b81b39a5ea0eef3c739fe0276717df","observation_id":"5a79dc17-2e2e-4547-a607-89829df3f408","resolution":{"observed_at":"2026-06-29T15:59:27.176617Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2605.27070","last_updated":"2026-05-26T14:21:09Z","latest_version":1,"primary_category":"hep-th","snapshot_observed_at":"2026-07-06T23:36:48.467513Z","submitted_at":"2026-05-26T14:21:09Z","title":"Geometrically constrained multi-kink configurations in generalized impurity-doped field theories"},"reference_resolution":{"displayed":38,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":38,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":38},"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":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"thesis":"As of 4 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2605.27070."}