{"as_of":"2026-08-16T15:43:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1cf6d49be94cf1957561313e05b0b58dd97ceb3acc607719ca28a056e22cf8c0","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":"2026-08-14T13:20:06.360823Z","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":"2026-08-16T06:30:59.297886+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/1908.05576/citation-record","integrity":"/paper/1908.05576/integrity","json":"/paper/1908.05576/citation-record.json","paper":"/paper/1908.05576"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:20:07.172413Z","title":"Belbruno","venue":null,"work_id":"136eafea-897c-4013-9624-479b7f5175ee","year":1984},"citing_paper":{"arxiv_id":"1908.05576","last_updated":"2019-08-15T15:11:53Z","snapshot_observed_at":"2026-08-16T04:43:00.007410Z","submitted_at":"2019-08-15T15:11:53Z","title":"On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T13:20:06.147671Z"},"links":{"citing_paper":"/paper/1908.05576"},"observation_digest":"sha256:35d5ba4f4afdf8f181b2c1376a1f25cadb695af2fddf79d1aacc39ce4e94eaf3","observation_id":"1dced4aa-f0fc-48ed-b1e2-9e7117f0600b","resolution":{"observed_at":"2026-08-14T13:20:07.182447Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:20:07.137670Z","title":"Belitskii","venue":null,"work_id":"0bd43c21-cf65-4577-9075-b1a626cee3d1","year":1979},"citing_paper":{"arxiv_id":"1908.05576","last_updated":"2019-08-15T15:11:53Z","snapshot_observed_at":"2026-08-16T04:43:00.007410Z","submitted_at":"2019-08-15T15:11:53Z","title":"On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T13:20:06.153829Z"},"links":{"citing_paper":"/paper/1908.05576"},"observation_digest":"sha256:ab2b6d6c3eebe86c4b4f1608950949fcdf895d85aac0d49dba9fa01e100d007a","observation_id":"98987d04-1fc4-4cb8-9671-9c2c2e501fca","resolution":{"observed_at":"2026-08-14T13:20:07.151347Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:20:07.112690Z","title":"Belitskii","venue":null,"work_id":"c35357e0-2356-4028-992d-3601c46ef5c2","year":2002},"citing_paper":{"arxiv_id":"1908.05576","last_updated":"2019-08-15T15:11:53Z","snapshot_observed_at":"2026-08-16T04:43:00.007410Z","submitted_at":"2019-08-15T15:11:53Z","title":"On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T13:20:06.160318Z"},"links":{"citing_paper":"/paper/1908.05576"},"observation_digest":"sha256:254fc4cf9f0a2d8546195ffe95dc208352bbb7d4df41a521701426f43a116d6f","observation_id":"7221a8bf-f778-403f-951e-176165f3893a","resolution":{"observed_at":"2026-08-14T13:20:07.118247Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:20:07.086132Z","title":"Isolated invariant sets and isolating blocks","venue":null,"work_id":"586b09f7-2087-4e89-b172-44624811b9e8","year":1971},"citing_paper":{"arxiv_id":"1908.05576","last_updated":"2019-08-15T15:11:53Z","snapshot_observed_at":"2026-08-16T04:43:00.007410Z","submitted_at":"2019-08-15T15:11:53Z","title":"On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T13:20:06.167031Z"},"links":{"citing_paper":"/paper/1908.05576"},"observation_digest":"sha256:25ce21c0db5db131fa48633d0881c5dc75db7b28d854e309c514df4bcf2de182","observation_id":"5bf2109b-f5c2-40a4-a4f4-e360a544c842","resolution":{"observed_at":"2026-08-14T13:20:07.097772Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:20:07.063261Z","title":"Normal forms for manifolds of normally hyperbolic singularities and asymptotic properties of nearby transitions","venue":null,"work_id":"b53de7cd-ee62-4e5a-96d4-701452abce41","year":null},"citing_paper":{"arxiv_id":"1908.05576","last_updated":"2019-08-15T15:11:53Z","snapshot_observed_at":"2026-08-16T04:43:00.007410Z","submitted_at":"2019-08-15T15:11:53Z","title":"On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T13:20:06.174173Z"},"links":{"citing_paper":"/paper/1908.05576"},"observation_digest":"sha256:d87e5a96b92e74ac6be9728c9cbb9bd32fa2c72886c17a2991e4432fd4cd3a3f","observation_id":"7157d448-477c-47ce-a87f-40e5d7189489","resolution":{"observed_at":"2026-08-14T13:20:07.071291Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1901.08701","last_updated":"2019-01-25T00:23:55Z","snapshot_observed_at":"2026-08-16T10:53:39.871735Z","submitted_at":"2019-01-25T00:23:55Z","title":"Regularisation for Planar Vector Fields","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1901.08701","snapshot_observed_at":"2026-08-14T13:20:06.180444Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"1908.05576","last_updated":"2019-08-15T15:11:53Z","snapshot_observed_at":"2026-08-16T04:43:00.007410Z","submitted_at":"2019-08-15T15:11:53Z","title":"On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T13:20:06.180444Z"},"links":{"cited_paper":"/paper/1901.08701","citing_paper":"/paper/1908.05576"},"observation_digest":"sha256:1991a29da9001ba81840b808355e936ecee507b10d0760e46dd574018d24a88e","observation_id":"99d7f3ba-1c8d-43c0-ab79-e750a7fb92e1","resolution":{"observed_at":"2026-08-14T13:20:06.180444Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:20:07.022665Z","title":"Singularities of vector ﬁelds on the plane","venue":null,"work_id":"3152197b-cb17-4173-8c21-1215487fea50","year":1977},"citing_paper":{"arxiv_id":"1908.05576","last_updated":"2019-08-15T15:11:53Z","snapshot_observed_at":"2026-08-16T04:43:00.007410Z","submitted_at":"2019-08-15T15:11:53Z","title":"On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T13:20:06.187517Z"},"links":{"citing_paper":"/paper/1908.05576"},"observation_digest":"sha256:2dbb851113723c6195c95daa77f474d314e58a9b622e8ab665586fa593a888c4","observation_id":"a7c2bafd-877f-4bf4-a17b-a392382fbdf4","resolution":{"observed_at":"2026-08-14T13:20:07.033531Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:20:06.991019Z","title":"Regularization of vector ﬁelds by surgery","venue":null,"work_id":"2da32014-babc-4679-9e40-4314a977b4ae","year":1971},"citing_paper":{"arxiv_id":"1908.05576","last_updated":"2019-08-15T15:11:53Z","snapshot_observed_at":"2026-08-16T04:43:00.007410Z","submitted_at":"2019-08-15T15:11:53Z","title":"On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T13:20:06.195643Z"},"links":{"citing_paper":"/paper/1908.05576"},"observation_digest":"sha256:16a191cbd6be6cc0c45e71f6345c578b114ed7330e0b0685b99afbcc419ace8d","observation_id":"c450abc0-8bef-4d5e-b73f-01ee6bcc61df","resolution":{"observed_at":"2026-08-14T13:20:07.001029Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:20:06.960122Z","title":"The topology of the regularized integral surfaces of the 3-body problem","venue":null,"work_id":"95f0fa26-e672-4b94-be68-2173dec96a3c","year":1972},"citing_paper":{"arxiv_id":"1908.05576","last_updated":"2019-08-15T15:11:53Z","snapshot_observed_at":"2026-08-16T04:43:00.007410Z","submitted_at":"2019-08-15T15:11:53Z","title":"On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T13:20:06.204492Z"},"links":{"citing_paper":"/paper/1908.05576"},"observation_digest":"sha256:2d189388e949f2afd78fd5a78ceec8d7a9165f3a643eee63293e78e213d9146c","observation_id":"e69b7130-43ea-4d3a-9174-a912c7e22acc","resolution":{"observed_at":"2026-08-14T13:20:06.969069Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:20:06.930651Z","title":"The Geometry of Schemes , volume 197","venue":null,"work_id":"313ae0e6-0a36-4825-9cd0-6f08d03ff826","year":2000},"citing_paper":{"arxiv_id":"1908.05576","last_updated":"2019-08-15T15:11:53Z","snapshot_observed_at":"2026-08-16T04:43:00.007410Z","submitted_at":"2019-08-15T15:11:53Z","title":"On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T13:20:06.214224Z"},"links":{"citing_paper":"/paper/1908.05576"},"observation_digest":"sha256:9e79699d3cb82acda6314de3618c6c482954f2c7ef35159cb0bf2cb6018aeced","observation_id":"95225525-618d-454b-a9df-3b530d4c5300","resolution":{"observed_at":"2026-08-14T13:20:06.942305Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:20:06.906450Z","title":"Collision singularities in celestial mechanics","venue":null,"work_id":"d0383cbd-df36-49bd-9816-ec5a59a9745f","year":1990},"citing_paper":{"arxiv_id":"1908.05576","last_updated":"2019-08-15T15:11:53Z","snapshot_observed_at":"2026-08-16T04:43:00.007410Z","submitted_at":"2019-08-15T15:11:53Z","title":"On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T13:20:06.221729Z"},"links":{"citing_paper":"/paper/1908.05576"},"observation_digest":"sha256:cebaa98671566270315e67ff3b07a1256f1615be0e1317eb006b6d61c30e65c4","observation_id":"835c2e4d-80be-47be-8440-0a1707cd302d","resolution":{"observed_at":"2026-08-14T13:20:06.916737Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:20:06.871656Z","title":"On simultaneous binary collisions in the planar n-body problem","venue":null,"work_id":"d1160b3f-d6b4-4881-ace2-137293fc897e","year":1993},"citing_paper":{"arxiv_id":"1908.05576","last_updated":"2019-08-15T15:11:53Z","snapshot_observed_at":"2026-08-16T04:43:00.007410Z","submitted_at":"2019-08-15T15:11:53Z","title":"On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T13:20:06.229711Z"},"links":{"citing_paper":"/paper/1908.05576"},"observation_digest":"sha256:ab8f7f13aeeede0abdc6d8cf19ca02b529f02ce9ae2811c84e8911d237c1e7fc","observation_id":"52d77662-0340-4a3a-9bec-36e269876f3a","resolution":{"observed_at":"2026-08-14T13:20:06.881033Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:20:06.846731Z","title":"Simultaneous binary collisions in the collinear N-body problem","venue":null,"work_id":"8934fd86-9cb8-456a-92a0-2bd7a5d24997","year":1993},"citing_paper":{"arxiv_id":"1908.05576","last_updated":"2019-08-15T15:11:53Z","snapshot_observed_at":"2026-08-16T04:43:00.007410Z","submitted_at":"2019-08-15T15:11:53Z","title":"On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T13:20:06.246068Z"},"links":{"citing_paper":"/paper/1908.05576"},"observation_digest":"sha256:db93824ddf906a5f173d4944837b8a0d797ac9cd4605467b5377e46cf474733e","observation_id":"645d81af-c2bd-4d6a-87bd-c5f78614765e","resolution":{"observed_at":"2026-08-14T13:20:06.855760Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:20:06.819457Z","title":"Collision–Ejection Manifold and Collective Analytic Continuation of Simultane- ous Binary Collisions in the Planar N-Body Problem","venue":null,"work_id":"fada96a2-e8fd-4bc3-a0f3-168b221f8270","year":1996},"citing_paper":{"arxiv_id":"1908.05576","last_updated":"2019-08-15T15:11:53Z","snapshot_observed_at":"2026-08-16T04:43:00.007410Z","submitted_at":"2019-08-15T15:11:53Z","title":"On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T13:20:06.254470Z"},"links":{"citing_paper":"/paper/1908.05576"},"observation_digest":"sha256:07bec865f6bfd41e44ad8b129a7663d2ba62d7a437e5e04b01d0c79884faa945","observation_id":"751727e6-af96-4385-b73b-ce71c4a91304","resolution":{"observed_at":"2026-08-14T13:20:06.825362Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:20:06.794296Z","title":"The ﬂow of the N-body problem near a simultaneous-binary-collision singularity and integrals of motion on the collision manifold","venue":null,"work_id":"f681053d-0823-4eca-b0f5-1446af9bab24","year":1996},"citing_paper":{"arxiv_id":"1908.05576","last_updated":"2019-08-15T15:11:53Z","snapshot_observed_at":"2026-08-16T04:43:00.007410Z","submitted_at":"2019-08-15T15:11:53Z","title":"On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T13:20:06.264306Z"},"links":{"citing_paper":"/paper/1908.05576"},"observation_digest":"sha256:a5f7b7fc4eac453b913f44d2c5353bf038e235a736b617ccc2ffb59d9ea09ce4","observation_id":"17f75ac2-7df7-40da-8796-600d933ca37a","resolution":{"observed_at":"2026-08-14T13:20:06.801425Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:20:06.771404Z","title":"Elphick, E","venue":null,"work_id":"97b363c5-18cd-410d-aff8-89f9873db902","year":1987},"citing_paper":{"arxiv_id":"1908.05576","last_updated":"2019-08-15T15:11:53Z","snapshot_observed_at":"2026-08-16T04:43:00.007410Z","submitted_at":"2019-08-15T15:11:53Z","title":"On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T13:20:06.270900Z"},"links":{"citing_paper":"/paper/1908.05576"},"observation_digest":"sha256:356eb7463a1df2d28b619d636137e24628507bb4f5f3ff10ba6965247313fbb3","observation_id":"bfef9c71-65b8-4969-b30d-9fcdf50151b5","resolution":{"observed_at":"2026-08-14T13:20:06.777940Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:20:06.748109Z","title":"Normal forms of analytic perturbations of quasihomogeneous vector ﬁelds: Rigidity, invariant analytic sets and exponentially small approximation","venue":null,"work_id":"e60d2567-68ba-4e04-90bd-2659bae1bbb0","year":2010},"citing_paper":{"arxiv_id":"1908.05576","last_updated":"2019-08-15T15:11:53Z","snapshot_observed_at":"2026-08-16T04:43:00.007410Z","submitted_at":"2019-08-15T15:11:53Z","title":"On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T13:20:06.275494Z"},"links":{"citing_paper":"/paper/1908.05576"},"observation_digest":"sha256:b109c1bf2249baf58ea5d3a5b5e8cb728744cfae54e93a2256dfd74ba0858152","observation_id":"592af8bd-2601-4b4a-ac93-f278335b111b","resolution":{"observed_at":"2026-08-14T13:20:06.757242Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:20:06.723372Z","title":"Simultaneous binary collisions in the planar four-body problem.Nonlin- earity, 12(4):903, 1999","venue":null,"work_id":"ebfcd620-87ef-4b33-9d92-681ccd3ff1b0","year":1999},"citing_paper":{"arxiv_id":"1908.05576","last_updated":"2019-08-15T15:11:53Z","snapshot_observed_at":"2026-08-16T04:43:00.007410Z","submitted_at":"2019-08-15T15:11:53Z","title":"On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T13:20:06.282179Z"},"links":{"citing_paper":"/paper/1908.05576"},"observation_digest":"sha256:7d49587bcdf10d66956efb9752b4ce49328665797b4755127449be572ad1a72e","observation_id":"d57a97bc-e04f-40e3-b7f7-0262cb2c56fe","resolution":{"observed_at":"2026-08-14T13:20:06.731368Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:20:06.696330Z","title":"The degree of diﬀerentiability of the regularization of simultaneous binary collisions in some N-body problems","venue":null,"work_id":"e966f8ee-005e-40b0-8da9-52864f336433","year":2000},"citing_paper":{"arxiv_id":"1908.05576","last_updated":"2019-08-15T15:11:53Z","snapshot_observed_at":"2026-08-16T04:43:00.007410Z","submitted_at":"2019-08-15T15:11:53Z","title":"On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T13:20:06.292254Z"},"links":{"citing_paper":"/paper/1908.05576"},"observation_digest":"sha256:4f75919ccaad10fee6a64b80d4c63875357ea659bf4550263406a209bef180e0","observation_id":"674512fc-ee54-41c4-8168-02f23c956fd0","resolution":{"observed_at":"2026-08-14T13:20:06.709730Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:20:06.666745Z","title":"Triple collision in the collinear three-body problem","venue":null,"work_id":"cc7e643f-cb3d-487e-941b-53f9c7a6ad23","year":1974},"citing_paper":{"arxiv_id":"1908.05576","last_updated":"2019-08-15T15:11:53Z","snapshot_observed_at":"2026-08-16T04:43:00.007410Z","submitted_at":"2019-08-15T15:11:53Z","title":"On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T13:20:06.299163Z"},"links":{"citing_paper":"/paper/1908.05576"},"observation_digest":"sha256:992081b782cc5e4988298b76aa9da851c9811dd8bde3bc4d34c53d5ca621a78d","observation_id":"eb7f6979-d1a7-4f2b-9bcf-46bce702f1fd","resolution":{"observed_at":"2026-08-14T13:20:06.673401Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:20:06.637367Z","title":"Normal Forms and Unfoldings for Local Dynamical Systems","venue":null,"work_id":"e613a8f8-fc2e-42f2-ae08-80b13ad808c8","year":2006},"citing_paper":{"arxiv_id":"1908.05576","last_updated":"2019-08-15T15:11:53Z","snapshot_observed_at":"2026-08-16T04:43:00.007410Z","submitted_at":"2019-08-15T15:11:53Z","title":"On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T13:20:06.309134Z"},"links":{"citing_paper":"/paper/1908.05576"},"observation_digest":"sha256:1e5a019c67498be05c2ebaca6796c24de792a5bb6d637b53eeede88299922b45","observation_id":"46ca9624-ffa3-4e42-b69e-e8e0603264ab","resolution":{"observed_at":"2026-08-14T13:20:06.644481Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:20:06.613775Z","title":"Regularization of simultaneous binary collisions and solutions with singu- larities in the collinear four-body problem","venue":null,"work_id":"c638dec6-ca18-4b8f-b247-940280d7498a","year":2009},"citing_paper":{"arxiv_id":"1908.05576","last_updated":"2019-08-15T15:11:53Z","snapshot_observed_at":"2026-08-16T04:43:00.007410Z","submitted_at":"2019-08-15T15:11:53Z","title":"On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T13:20:06.318412Z"},"links":{"citing_paper":"/paper/1908.05576"},"observation_digest":"sha256:4095d45028944093a6a13aba4e3acc4dd860ccf8b6291efa51918b9ff9373c28","observation_id":"93b4b1c3-3f3d-461f-8365-a3e9f4ac995e","resolution":{"observed_at":"2026-08-14T13:20:06.619441Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:20:06.579248Z","title":"Regularization of simultaneous binary collisions in some gravitational systems","venue":null,"work_id":"132237d8-842b-4c12-889c-59568c3a7f5a","year":2012},"citing_paper":{"arxiv_id":"1908.05576","last_updated":"2019-08-15T15:11:53Z","snapshot_observed_at":"2026-08-16T04:43:00.007410Z","submitted_at":"2019-08-15T15:11:53Z","title":"On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T13:20:06.328896Z"},"links":{"citing_paper":"/paper/1908.05576"},"observation_digest":"sha256:369e51df3977bcc9262186a211c91d3d94da8a94a8409545f451471a5c0b3027","observation_id":"295065b3-18be-43d7-840a-9f9b3dcc8d64","resolution":{"observed_at":"2026-08-14T13:20:06.590856Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:20:06.549756Z","title":"Bifurcation of Planar Vector Fields and Hilbert’s Sixteenth Problem , volume 164 of Progress in Mathematics","venue":null,"work_id":"fb96dac5-3375-41a2-b15d-98ae8daa3e74","year":1998},"citing_paper":{"arxiv_id":"1908.05576","last_updated":"2019-08-15T15:11:53Z","snapshot_observed_at":"2026-08-16T04:43:00.007410Z","submitted_at":"2019-08-15T15:11:53Z","title":"On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T13:20:06.335589Z"},"links":{"citing_paper":"/paper/1908.05576"},"observation_digest":"sha256:26422be4b8d4d0d59f360bb408cfb65c0e26a13720d5ba185f05d46f0b3173d6","observation_id":"695c2fbe-ea0b-45d2-bc59-30ab58385026","resolution":{"observed_at":"2026-08-14T13:20:06.556696Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:20:06.525624Z","title":"The manifold structure for collision and for hyperbolic-parabolic orbits in the n-body problem","venue":null,"work_id":"04543e1d-79eb-4a60-961b-52ccaabd82b2","year":1984},"citing_paper":{"arxiv_id":"1908.05576","last_updated":"2019-08-15T15:11:53Z","snapshot_observed_at":"2026-08-16T04:43:00.007410Z","submitted_at":"2019-08-15T15:11:53Z","title":"On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T13:20:06.343020Z"},"links":{"citing_paper":"/paper/1908.05576"},"observation_digest":"sha256:71306a42e342106ad9dfc2b7238bd796ac050a7492959e6c11204dd9e4b3a141","observation_id":"6af37d9f-eaa8-4462-8937-920a90f318ef","resolution":{"observed_at":"2026-08-14T13:20:06.532463Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:20:06.498454Z","title":"Springer, 2012","venue":null,"work_id":"7c4754bd-789e-4540-bcd8-bcf5431bd829","year":1971},"citing_paper":{"arxiv_id":"1908.05576","last_updated":"2019-08-15T15:11:53Z","snapshot_observed_at":"2026-08-16T04:43:00.007410Z","submitted_at":"2019-08-15T15:11:53Z","title":"On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T13:20:06.349954Z"},"links":{"citing_paper":"/paper/1908.05576"},"observation_digest":"sha256:ed1d1c68544b51b4b614fead6cb01912fdad0ce9105157a5e62fae3a96d93461","observation_id":"794bbb25-99e8-4a55-afec-be3f0fd8bcc7","resolution":{"observed_at":"2026-08-14T13:20:06.506328Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:20:06.474165Z","title":"Some questions looking for answers in dynamical systems.Discrete and Continuous Dynamical Systems - A , 38(12):6215–6239, 2018","venue":null,"work_id":"96697d4a-11a1-4474-b566-a3c813e794ce","year":2018},"citing_paper":{"arxiv_id":"1908.05576","last_updated":"2019-08-15T15:11:53Z","snapshot_observed_at":"2026-08-16T04:43:00.007410Z","submitted_at":"2019-08-15T15:11:53Z","title":"On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T13:20:06.355374Z"},"links":{"citing_paper":"/paper/1908.05576"},"observation_digest":"sha256:6c30612b652f2a60fd748e27161fd0acb63b0fb8a9faea2b7400e63c228910eb","observation_id":"03a5d4d7-c672-4ca3-b02c-d40dc48dbe1f","resolution":{"observed_at":"2026-08-14T13:20:06.480812Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:20:06.451470Z","title":"Regularization of simultaneous binary collisions in the n-body problem","venue":null,"work_id":"48e1a712-4bbe-4aa0-9277-373f3ab1a685","year":1992},"citing_paper":{"arxiv_id":"1908.05576","last_updated":"2019-08-15T15:11:53Z","snapshot_observed_at":"2026-08-16T04:43:00.007410Z","submitted_at":"2019-08-15T15:11:53Z","title":"On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T13:20:06.360823Z"},"links":{"citing_paper":"/paper/1908.05576"},"observation_digest":"sha256:24c69f5ee47523b89d161d0ab9cadbfc39b918af3c5ac1c83b81b60eaa4508e7","observation_id":"64c224d5-a690-4b9c-a3eb-3e2ef60acdbf","resolution":{"observed_at":"2026-08-14T13:20:06.460215Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.05576","last_updated":"2019-08-15T15:11:53Z","latest_version":1,"primary_category":"math.DS","snapshot_observed_at":"2026-08-16T04:43:00.007410Z","submitted_at":"2019-08-15T15:11:53Z","title":"On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem"},"reference_resolution":{"displayed":28,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":1,"verified_exact":0,"verified_fuzzy":27},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:1908.05576."}