{"as_of":"2026-08-16T08:25:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ad932f3c9a5436a5bf3499a60d5901324fd6cd20026a619f7b96bd5ee2a1a0db","coverage":[{"denominator":55,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":55,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T16:54:07.525414Z","state":"measured"},{"denominator":66,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":66,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":11,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":11,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T15:48:19.128120Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-04T11:09:47.040046Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2508.20558","snapshot_observed_at":"2026-08-15T15:48:19.128120Z","title":"Wang, Y.-P","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.24989","last_updated":"2026-06-17T10:45:46Z","snapshot_observed_at":"2026-08-15T19:36:39.416306Z","submitted_at":"2025-10-28T21:37:04Z","title":"Periodic orbits and their gravitational waves in EMRIs: supermassive black hole affected by galactic dark matter halos","version":4},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-15T15:48:19.128120Z"},"links":{"cited_paper":"/paper/2508.20558","citing_paper":"/paper/2510.24989"},"observation_digest":"sha256:a84a252b47122d35ab097f6ea1576fcb7138a52cb6915bffa3512f4414a7b737","observation_id":"4d954afa-a1fe-4bfa-a50b-4f986ac8fd2f","resolution":{"observed_at":"2026-08-15T15:48:19.128120Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"cited_work":{"arxiv_id":"2508.20558","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2508.20558","snapshot_observed_at":"2026-07-04T11:09:47.040046Z","title":"Wang, Y.-P","venue":null,"work_id":"499105ea-b945-4e0b-aaff-2aea048610ab","year":2025},"citing_paper":{"arxiv_id":"2511.14080","last_updated":"2026-04-08T06:55:10Z","snapshot_observed_at":"2026-08-12T21:39:12.273673Z","submitted_at":"2025-11-18T03:10:42Z","title":"Periodic orbits and their gravitational wave radiations in $\\gamma$-metric","version":2},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-05-17T21:28:44.606857Z"},"links":{"cited_paper":"/paper/2508.20558","citing_paper":"/paper/2511.14080"},"observation_digest":"sha256:e638b6648e34b0f2b3b5fdc69ab1a0efd14baeb6661d349e1699842222b1b99b","observation_id":"1e4b7431-75a8-4b59-b1f9-969f43375125","resolution":{"observed_at":"2026-05-17T21:30:17.945245Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"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":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"cited_work":{"arxiv_id":"2508.20558","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2508.20558","snapshot_observed_at":"2026-07-04T11:09:47.040046Z","title":"Wang, Y.-P","venue":null,"work_id":"499105ea-b945-4e0b-aaff-2aea048610ab","year":2025},"citing_paper":{"arxiv_id":"2512.11911","last_updated":"2026-06-19T02:53:11Z","snapshot_observed_at":"2026-08-11T17:01:56.178916Z","submitted_at":"2025-12-11T01:04:43Z","title":"Gravitational radiations from periodic orbits around a black hole in the effective field theory extension of general relativity","version":2},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-05-16T23:53:11.699026Z"},"links":{"cited_paper":"/paper/2508.20558","citing_paper":"/paper/2512.11911"},"observation_digest":"sha256:68b222e2bd841c0758ec7d7de66f239ea047eeab089ac061dcc8ada83ad05cad","observation_id":"04831d2f-877f-47e3-a0bc-10cb8d4f3c44","resolution":{"observed_at":"2026-05-16T23:53:42.436529Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"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":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2508.20558","snapshot_observed_at":"2026-08-03T17:20:00.820486Z","title":"A new type of multi-branch periodic orbits in dyonic black holes,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.11911","last_updated":"2026-06-19T02:53:11Z","snapshot_observed_at":"2026-08-11T17:01:56.178916Z","submitted_at":"2025-12-11T01:04:43Z","title":"Gravitational radiations from periodic orbits around a black hole in the effective field theory extension of general relativity","version":3},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-03T17:20:00.820486Z"},"links":{"cited_paper":"/paper/2508.20558","citing_paper":"/paper/2512.11911"},"observation_digest":"sha256:d7cf35d19706bdce0e0202bee88a9ad09e8a743cacf08a9a8c384978aaefafd3","observation_id":"d3bfab5a-b360-461a-acb4-00953adfdf72","resolution":{"observed_at":"2026-08-03T17:20:00.820486Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"cited_work":{"arxiv_id":"2508.20558","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2508.20558","snapshot_observed_at":"2026-07-04T11:09:47.040046Z","title":"Wang, Y.-P","venue":null,"work_id":"499105ea-b945-4e0b-aaff-2aea048610ab","year":2025},"citing_paper":{"arxiv_id":"2604.13564","last_updated":"2026-04-15T07:21:33Z","snapshot_observed_at":"2026-08-11T09:03:17.518041Z","submitted_at":"2026-04-15T07:21:33Z","title":"Topologically equivalent yet radiatively distinct orbits in EMRI system","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-05-10T13:04:39.993350Z"},"links":{"cited_paper":"/paper/2508.20558","citing_paper":"/paper/2604.13564"},"observation_digest":"sha256:2b38841f789aa1f5e356300332ce0f3d6128c5d47b102263deef0eb6593b860d","observation_id":"3862f4f8-b727-4656-b821-18af5ea467f8","resolution":{"observed_at":"2026-05-10T13:05:24.598580Z","resolver_source":"arxiv_id","status":"verified_exact"},"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":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"cited_work":{"arxiv_id":"2508.20558","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2508.20558","snapshot_observed_at":"2026-07-04T11:09:47.040046Z","title":"Wang, Y.-P","venue":null,"work_id":"499105ea-b945-4e0b-aaff-2aea048610ab","year":2025},"citing_paper":{"arxiv_id":"2604.14011","last_updated":"2026-05-15T14:49:14Z","snapshot_observed_at":"2026-08-16T02:22:25.232919Z","submitted_at":"2026-04-15T15:56:46Z","title":"Properties of black holes in non-linear electrodynamics","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-10T13:14:49.840034Z"},"links":{"cited_paper":"/paper/2508.20558","citing_paper":"/paper/2604.14011"},"observation_digest":"sha256:f8ad9c440a87c971dc61e9e7761916b99e81bef345e2d329ae68a7b267649a40","observation_id":"16da7608-0e0f-4c70-b1a4-fd6a790cdba4","resolution":{"observed_at":"2026-05-10T13:15:26.102442Z","resolver_source":"arxiv_id","status":"verified_exact"},"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":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"cited_work":{"arxiv_id":"2508.20558","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2508.20558","snapshot_observed_at":"2026-07-04T11:09:47.040046Z","title":"Wang, Y.-P","venue":null,"work_id":"499105ea-b945-4e0b-aaff-2aea048610ab","year":2025},"citing_paper":{"arxiv_id":"2604.14011","last_updated":"2026-05-15T14:49:14Z","snapshot_observed_at":"2026-08-16T02:22:25.232919Z","submitted_at":"2026-04-15T15:56:46Z","title":"Properties of black holes in non-linear electrodynamics","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-19T17:44:25.575644Z"},"links":{"cited_paper":"/paper/2508.20558","citing_paper":"/paper/2604.14011"},"observation_digest":"sha256:80fdfebe2de25091a34f0a826c802c3b7b59e3eca90a00481c4867f00855039a","observation_id":"0647a307-f188-44d2-a4ff-21cba0e8ab0c","resolution":{"observed_at":"2026-05-19T17:47:41.895640Z","resolver_source":"arxiv_id","status":"verified_exact"},"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":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"cited_work":{"arxiv_id":"2508.20558","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2508.20558","snapshot_observed_at":"2026-07-04T11:09:47.040046Z","title":"Wang, Y.-P","venue":null,"work_id":"499105ea-b945-4e0b-aaff-2aea048610ab","year":2025},"citing_paper":{"arxiv_id":"2605.07187","last_updated":"2026-05-08T03:32:12Z","snapshot_observed_at":"2026-08-13T14:56:56.213097Z","submitted_at":"2026-05-08T03:32:12Z","title":"Probing Gravitational Wave Signatures from Periodic Orbits of Regular Black Holes in Asymptotically Safe Gravity","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-05-11T02:39:38.257354Z"},"links":{"cited_paper":"/paper/2508.20558","citing_paper":"/paper/2605.07187"},"observation_digest":"sha256:f15093f2544039295eea2b64dddc21614024e839e6a8eb253ba3a5ff9733980f","observation_id":"fe571b69-dad0-4a2b-9d8f-c3c3ff2b66cf","resolution":{"observed_at":"2026-05-11T03:10:52.896888Z","resolver_source":"arxiv_id","status":"verified_exact"},"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":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"cited_work":{"arxiv_id":"2508.20558","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2508.20558","snapshot_observed_at":"2026-07-04T11:09:47.040046Z","title":"Wang, Y.-P","venue":null,"work_id":"499105ea-b945-4e0b-aaff-2aea048610ab","year":2025},"citing_paper":{"arxiv_id":"2606.11728","last_updated":"2026-06-10T07:06:19Z","snapshot_observed_at":"2026-08-02T11:15:29.805470Z","submitted_at":"2026-06-10T07:06:19Z","title":"Periodic orbits as probes of charged loop quantum gravity black holes through gravitational waves","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-06-27T09:21:09.169388Z"},"links":{"cited_paper":"/paper/2508.20558","citing_paper":"/paper/2606.11728"},"observation_digest":"sha256:f052671c16dd9be9100885f42b62a6ab19a0a0722c0ca68cad82a32a5ef78225","observation_id":"233e5991-2586-461b-9c4e-95818e70cfd1","resolution":{"observed_at":"2026-07-03T11:48:05.069309Z","resolver_source":"arxiv_id","status":"verified_exact"},"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":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"cited_work":{"arxiv_id":"2508.20558","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2508.20558","snapshot_observed_at":"2026-07-04T11:09:47.040046Z","title":"Wang, Y.-P","venue":null,"work_id":"499105ea-b945-4e0b-aaff-2aea048610ab","year":2025},"citing_paper":{"arxiv_id":"2606.23021","last_updated":"2026-07-08T03:38:06Z","snapshot_observed_at":"2026-08-05T17:11:08.149851Z","submitted_at":"2026-06-22T08:34:40Z","title":"Periodic Timelike Motion and Gravitational Wave Signatures around a Magnetically Charged Black Hole Surrounded by Quintessence","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-06-26T08:08:55.792663Z"},"links":{"cited_paper":"/paper/2508.20558","citing_paper":"/paper/2606.23021"},"observation_digest":"sha256:17c9030c69c112f85f4c18880e33f55bf032a65ff271b360edca1c63726454ba","observation_id":"8f9664c4-030c-49ea-bdfa-b26e94bfdec9","resolution":{"observed_at":"2026-07-04T11:09:47.041740Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"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":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2508.20558","snapshot_observed_at":"2026-07-12T12:47:07.154481Z","title":"A new typ e of multi-branch periodic orbits in dyonic black holes,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.23021","last_updated":"2026-07-08T03:38:06Z","snapshot_observed_at":"2026-08-05T17:11:08.149851Z","submitted_at":"2026-06-22T08:34:40Z","title":"Periodic Timelike Motion and Gravitational Wave Signatures around a Magnetically Charged Black Hole Surrounded by Quintessence","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-07-12T12:47:07.154481Z"},"links":{"cited_paper":"/paper/2508.20558","citing_paper":"/paper/2606.23021"},"observation_digest":"sha256:9b8a0aed051a10dcb9a40c5ca415d2b1a95d18689a4451659e61341cce4dcd30","observation_id":"08f7202a-c79e-403c-b3c3-87399b43fb80","resolution":{"observed_at":"2026-07-12T12:47:07.154481Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2508.20558/citation-record","integrity":"/paper/2508.20558/integrity","json":"/paper/2508.20558/citation-record.json","paper":"/paper/2508.20558"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T16:54:08.891076Z","title":"In this regime, three MBO solutions emerge, though we only fo- cused on the two outer ones, LMBO2 and LMBO3, which define the dual potential wells","venue":null,"work_id":"65883f1e-f6db-45e5-84ca-10390ce145ae","year":null},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.111472Z"},"links":{"citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:90e0b1bb7bf244fe9fdd361eedba2de24ea0ec495c8ef944d9fc39a30b58ed37","observation_id":"95bceca7-2a22-40b3-a799-9fc49a7a01ee","resolution":{"observed_at":"2026-08-15T16:54:08.897776Z","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":"2026-08-15T16:54:08.908698Z","title":null,"venue":null,"work_id":"0e9d26ed-0761-4ff7-a8a5-d8438c01e89c","year":2024},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.102156Z"},"links":{"citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:3260b5dd08841375bd44a4a4f7ec6514f827dbf0936dc414f171db5f478df5a6","observation_id":"c3a3b7f2-d937-44df-a82f-0b1a015a6c0d","resolution":{"observed_at":"2026-08-15T16:54:08.912984Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"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":"2026-08-15T16:54:08.876552Z","title":"The effective potential is of the stan- dard single-well type, supporting only one MBO solution","venue":null,"work_id":"d9d6116c-47db-4deb-b1df-5776262b67c7","year":null},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.119605Z"},"links":{"citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:bec7948ba22e3e7961e61eb4fa1cbfb62f1fa6b2fc2d1eb24d36c76e9e0b7ba2","observation_id":"cee10a87-0d35-498d-8faa-c76bafd0083a","resolution":{"observed_at":"2026-08-15T16:54:08.881286Z","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":"2026-08-15T16:54:08.860427Z","title":"Tal- ent Scientific Fund of Lanzhou University","venue":null,"work_id":"cd4695b1-a213-4b46-8dab-4f299255e48f","year":2024},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.128158Z"},"links":{"citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:5eb7378c0e08fcc093d5405d587acd554d20fd9f55f28160f9dbe56369f63bac","observation_id":"47d4f5ba-41dd-42f5-88b3-c205255df144","resolution":{"observed_at":"2026-08-15T16:54:08.865364Z","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":"1602.03837","last_updated":"2016-02-11T19:26:44Z","snapshot_observed_at":"2026-07-09T16:56:15.649302Z","submitted_at":"2016-02-11T19:26:44Z","title":"Observation of Gravitational Waves from a Binary Black Hole Merger","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1602.03837","snapshot_observed_at":"2026-08-15T16:54:07.135007Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.135007Z"},"links":{"cited_paper":"/paper/1602.03837","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:b6aa05c40099e66ca94ac2fb0c6d6cb9ad000e6f292324cc6354fbc529b97b17","observation_id":"a6cae98d-0046-4e98-9abe-756d46fd43e6","resolution":{"observed_at":"2026-08-15T16:54:07.135007Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1606.04855","last_updated":"2016-06-15T16:44:04Z","snapshot_observed_at":"2026-08-14T21:52:35.855236Z","submitted_at":"2016-06-15T16:44:04Z","title":"GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1606.04855","snapshot_observed_at":"2026-08-15T16:54:07.141011Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.141011Z"},"links":{"cited_paper":"/paper/1606.04855","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:e6eae303992928cb629c714b710af267ff5c36ddb79fef744c2fd622b8dcce69","observation_id":"d28b68db-2eb3-4b7d-993f-7c7bfb1328d6","resolution":{"observed_at":"2026-08-15T16:54:07.141011Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1906.11238","last_updated":"2019-06-26T18:06:46Z","snapshot_observed_at":"2026-08-13T13:53:05.353909Z","submitted_at":"2019-06-26T18:06:46Z","title":"First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1906.11238","snapshot_observed_at":"2026-08-15T16:54:07.151962Z","title":"Akiyama et al","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.151962Z"},"links":{"cited_paper":"/paper/1906.11238","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:8ac5b2c6cbb3361ca004679ab575894a11278c1d26e3fa834edbbd6a173885fe","observation_id":"c8ce10f0-a9c3-47bc-8868-51da59cca8c8","resolution":{"observed_at":"2026-08-15T16:54:07.151962Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.08680","last_updated":"2023-11-16T05:03:31Z","snapshot_observed_at":"2026-08-12T22:52:00.909314Z","submitted_at":"2023-11-15T04:01:03Z","title":"First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.08680","snapshot_observed_at":"2026-08-15T16:54:07.159384Z","title":"Akiyama et al","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.159384Z"},"links":{"cited_paper":"/paper/2311.08680","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:dc201323422a6ea225baa28c1390d328adc8df5a3f604a0808316e1939fc2503","observation_id":"e81c3b70-f7b9-491c-9d0f-09f57836447c","resolution":{"observed_at":"2026-08-15T16:54:07.159384Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1405.4837","last_updated":"2014-07-19T06:51:14Z","snapshot_observed_at":"2026-08-14T23:33:29.267484Z","submitted_at":"2014-05-19T19:00:49Z","title":"Models of rotating boson stars and geodesics around them: new type of orbits","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1405.4837","snapshot_observed_at":"2026-08-15T16:54:07.169073Z","title":"Grandclement, C","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.169073Z"},"links":{"cited_paper":"/paper/1405.4837","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:af6ce73aa967de96e1b2f39a5168ec5eab1625bfce29afa1b8eda5ca0d2c204d","observation_id":"f41a91b9-4d6f-40c8-ab20-10a49921b2e4","resolution":{"observed_at":"2026-08-15T16:54:07.169073Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1709.05938","last_updated":"2017-09-18T13:53:39Z","snapshot_observed_at":"2026-08-15T18:02:52.634262Z","submitted_at":"2017-09-18T13:53:39Z","title":"Comparing timelike geodesics around a Kerr black hole and a boson star","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1709.05938","snapshot_observed_at":"2026-08-15T16:54:07.177491Z","title":"Grould, Z","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.177491Z"},"links":{"cited_paper":"/paper/1709.05938","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:661819b4ee67935e3b42852c7a9b73e0c2f6b4459a30236fe2ad16fb2669171d","observation_id":"a60fd309-7002-4789-852d-e4665433f2e7","resolution":{"observed_at":"2026-08-15T16:54:07.177491Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2011.10288","last_updated":"2021-04-19T08:50:42Z","snapshot_observed_at":"2026-08-13T20:59:45.605890Z","submitted_at":"2020-11-20T09:22:12Z","title":"Retrograde Polish Doughnuts around Boson Stars","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2011.10288","snapshot_observed_at":"2026-08-15T16:54:07.183760Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.183760Z"},"links":{"cited_paper":"/paper/2011.10288","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:e1ea4dfd4bd589061b37578ccf8ff30fdcfde19b85b0f93306f0a9f93aeeb668","observation_id":"904c977b-8854-432d-9a65-bcc4952bcf54","resolution":{"observed_at":"2026-08-15T16:54:07.183760Z","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":"2026-08-15T16:54:08.846542Z","title":"Muller, Exact geometric optics in a Morris-Thorne wormhole spacetime, Phys","venue":null,"work_id":"1ec22cfb-f4dd-48d7-a91b-37defc536bc4","year":2008},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.190032Z"},"links":{"citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:0b6d34a04939ca741baa1b73e7e0cb99f86b5e7d72a0b77f9ca138ecbbdbbfca","observation_id":"25631472-c206-48e3-ae49-b33dea364496","resolution":{"observed_at":"2026-08-15T16:54:08.851839Z","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":"2108.08640","last_updated":"2021-08-19T12:05:54Z","snapshot_observed_at":"2026-08-13T18:25:55.777349Z","submitted_at":"2021-08-19T12:05:54Z","title":"Polish Doughnuts around Scalarized Kerr Black Holes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2108.08640","snapshot_observed_at":"2026-08-15T16:54:07.195461Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.195461Z"},"links":{"cited_paper":"/paper/2108.08640","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:1259d56636e148faf9c60e0f77fce8079fa4b3d7a81a6c323e6efe1fb5e004d2","observation_id":"d4b16c1e-98dc-4454-8739-e5fc12742760","resolution":{"observed_at":"2026-08-15T16:54:07.195461Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1509.00021","last_updated":"2015-11-07T10:52:17Z","snapshot_observed_at":"2026-08-14T22:34:25.596081Z","submitted_at":"2015-08-31T20:14:13Z","title":"Shadows of Kerr black holes with scalar hair","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1509.00021","snapshot_observed_at":"2026-08-15T16:54:07.200917Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.200917Z"},"links":{"cited_paper":"/paper/1509.00021","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:590995c85ad17658ab45298fce6e5dd5c2c1e87c3d6307bdb9e88aa5e09d6b21","observation_id":"448e13db-abde-4590-b448-fd716d77da13","resolution":{"observed_at":"2026-08-15T16:54:07.200917Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9906098","last_updated":"1999-08-20T15:07:45Z","snapshot_observed_at":"2026-08-16T05:10:54.345119Z","submitted_at":"1999-06-14T20:40:26Z","title":"Supersymmetric Rotating Black Holes and Causality Violation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9906098","snapshot_observed_at":"2026-08-15T16:54:07.207175Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.207175Z"},"links":{"cited_paper":"/paper/hep-th/9906098","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:de1d4cf48d7385e2fbee5b27e6c6a1b54482c467be97b44044ec1d3d01dd59ad","observation_id":"33a8e92c-237c-4f81-979e-f15907a2c9d3","resolution":{"observed_at":"2026-08-15T16:54:07.207175Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0003063","last_updated":"2000-04-17T18:03:59Z","snapshot_observed_at":"2026-07-07T04:36:04.504918Z","submitted_at":"2000-03-08T19:56:11Z","title":"Special Properties of Five Dimensional BPS Rotating Black Holes","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0003063","snapshot_observed_at":"2026-08-15T16:54:07.217088Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.217088Z"},"links":{"cited_paper":"/paper/hep-th/0003063","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:28d65896a75add6c46c8777cf978ad6070d886a2f943dd88a49a670cf9693389","observation_id":"b2ef4c1d-72e2-4fd0-b5fa-fdc1a0b1aca7","resolution":{"observed_at":"2026-08-15T16:54:07.217088Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1312.6540","last_updated":"2013-12-23T12:34:35Z","snapshot_observed_at":"2026-08-14T23:50:33.698460Z","submitted_at":"2013-12-23T12:34:35Z","title":"Supersymmetric rotating black hole spacetime tested by geodesics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1312.6540","snapshot_observed_at":"2026-08-15T16:54:07.224772Z","title":"Diemer and J","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.224772Z"},"links":{"cited_paper":"/paper/1312.6540","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:7c5a755e6dd54f12b41ebb7906a251263b2724385902aceb3a2fd21157cb8f7d","observation_id":"950c510b-bfde-4ac2-8b2d-ecded9159d61","resolution":{"observed_at":"2026-08-15T16:54:07.224772Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2107.03404","last_updated":"2023-04-18T10:58:33Z","snapshot_observed_at":"2026-08-13T18:49:56.812369Z","submitted_at":"2021-07-07T18:00:04Z","title":"Equatorial timelike circular orbits around generic ultracompact objects","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2107.03404","snapshot_observed_at":"2026-08-15T16:54:07.232977Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.232977Z"},"links":{"cited_paper":"/paper/2107.03404","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:c2e10520adba63102ada73f7803f74843bc61a0aa73f7f44e503e066db0aca2b","observation_id":"02f8f876-76de-418a-ac97-c76d869edd50","resolution":{"observed_at":"2026-08-15T16:54:07.232977Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2202.08850","last_updated":"2022-02-17T19:00:05Z","snapshot_observed_at":"2026-08-16T07:09:47.495851Z","submitted_at":"2022-02-17T19:00:05Z","title":"The fate of observers in circular motion","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2202.08850","snapshot_observed_at":"2026-08-15T16:54:07.241936Z","title":"Leh´ ebel and V","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.241936Z"},"links":{"cited_paper":"/paper/2202.08850","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:1308e5959d40de4962e00699503449b605913c4b2cdb2031011e14b0ba70abb0","observation_id":"7dcd5a5c-d554-4fcc-bc0a-5848c38e16d7","resolution":{"observed_at":"2026-08-15T16:54:07.241936Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/0203086","last_updated":"2002-03-25T22:37:00Z","snapshot_observed_at":"2026-08-06T05:02:37.498206Z","submitted_at":"2002-03-25T22:37:00Z","title":"Zoom & Whirl: Eccentric equatorial orbits around spinning black holes and their evolution under gravitational radiation reaction","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/0203086","snapshot_observed_at":"2026-08-15T16:54:07.247845Z","title":"Glampedakis and D","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.247845Z"},"links":{"cited_paper":"/paper/gr-qc/0203086","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:b42894c3a4089087eb748f6a2bdc951615920e7030d844ac92253fe8ca047886","observation_id":"91bcd195-b7da-4a94-b429-15b8c9806f56","resolution":{"observed_at":"2026-08-15T16:54:07.247845Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0802.0459","last_updated":"2008-02-04T17:22:43Z","snapshot_observed_at":"2026-08-15T10:22:18.980483Z","submitted_at":"2008-02-04T17:22:43Z","title":"A Periodic Table for Black Hole Orbits","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0802.0459","snapshot_observed_at":"2026-08-15T16:54:07.254344Z","title":"Levin and G","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.254344Z"},"links":{"cited_paper":"/paper/0802.0459","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:c7fa5f011350000468408fbabbe2b1baf64417157a4db8863b7ff39ffa30aa2d","observation_id":"1b6a7ea0-6353-442a-a93f-f1c02645300a","resolution":{"observed_at":"2026-08-15T16:54:07.254344Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1108.1819","last_updated":"2011-08-08T21:32:14Z","snapshot_observed_at":"2026-08-15T04:38:44.693716Z","submitted_at":"2011-08-08T21:32:14Z","title":"Faster computation of adiabatic EMRIs using resonances","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1108.1819","snapshot_observed_at":"2026-08-15T16:54:07.258941Z","title":"Grossman, J","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.258941Z"},"links":{"cited_paper":"/paper/1108.1819","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:5e3c3dc6deffd3d656de58592a62fe10dae9bc0432fc0f406d2255e315413371","observation_id":"149c2bc4-4cee-4500-ba3d-2399ddf9d72e","resolution":{"observed_at":"2026-08-15T16:54:07.258941Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0907.0671","last_updated":"2009-09-23T18:37:37Z","snapshot_observed_at":"2026-08-15T05:44:27.526501Z","submitted_at":"2009-07-03T19:08:53Z","title":"Zoom-Whirl Orbits in Black Hole Binaries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0907.0671","snapshot_observed_at":"2026-08-15T16:54:07.263858Z","title":"Healy, J","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.263858Z"},"links":{"cited_paper":"/paper/0907.0671","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:eb346683e746f3a64d62799912f174e809436346e78aec97553bb68cb413e223","observation_id":"d2494b97-524a-45e9-be2b-46931762e2a5","resolution":{"observed_at":"2026-08-15T16:54:07.263858Z","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":"2026-08-15T16:54:07.270281Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.270281Z"},"links":{"citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:18741bcf777479d3caf4d8e0b2c7513ceec49abcd011eea7711d55155eb50448","observation_id":"618c0852-8444-4cb2-9cb8-1a89a3728be3","resolution":{"observed_at":"2026-08-15T16:54:07.270281Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.13894","last_updated":"2024-01-25T02:23:06Z","snapshot_observed_at":"2026-08-13T04:35:06.758424Z","submitted_at":"2024-01-25T02:23:06Z","title":"Energies and angular momenta of periodic Schwarzschild geodesics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.13894","snapshot_observed_at":"2026-08-15T16:54:07.275856Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.275856Z"},"links":{"cited_paper":"/paper/2401.13894","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:7b6811419310601ce0cf00404838ec78c56fec5909df8325942d0df6aef8c152","observation_id":"7c5adeba-afbf-4c71-a919-c12739fd48bf","resolution":{"observed_at":"2026-08-15T16:54:07.275856Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0809.3838","last_updated":"2008-09-23T01:56:05Z","snapshot_observed_at":"2026-08-15T10:06:19.133549Z","submitted_at":"2008-09-23T01:56:05Z","title":"Dynamics of Black Hole Pairs I: Periodic Tables","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0809.3838","snapshot_observed_at":"2026-08-15T16:54:07.288539Z","title":"Levin and B","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.288539Z"},"links":{"cited_paper":"/paper/0809.3838","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:cc428508a31c0c3421be57451c53879b7e638a620b1eaf61f74e728da62141ad","observation_id":"6f97510b-ac2a-4e26-9766-b207f8a94e1d","resolution":{"observed_at":"2026-08-15T16:54:07.288539Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0811.3814","last_updated":"2008-11-24T07:45:38Z","snapshot_observed_at":"2026-08-15T10:01:22.637638Z","submitted_at":"2008-11-24T07:45:38Z","title":"Homoclinic Orbits around Spinning Black Holes I: Exact Solution for the Kerr Separatrix","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0811.3814","snapshot_observed_at":"2026-08-15T16:54:07.295985Z","title":"Levin and G","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.295985Z"},"links":{"cited_paper":"/paper/0811.3814","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:19d1a2c88b7ae0527b38813b18494981f34ce13c60afcce787bac04f0448ce67","observation_id":"bdb0203c-2a95-4e2a-bd9c-49baad25eb57","resolution":{"observed_at":"2026-08-15T16:54:07.295985Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0907.5195","last_updated":"2009-10-26T20:45:14Z","snapshot_observed_at":"2026-08-15T05:42:33.292934Z","submitted_at":"2009-07-29T19:41:42Z","title":"Energy Level Diagrams for Black Hole Orbits","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0907.5195","snapshot_observed_at":"2026-08-15T16:54:07.300341Z","title":"Levin, Energy Level Diagrams for black hole Orbits , Class","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.300341Z"},"links":{"cited_paper":"/paper/0907.5195","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:bba5a1c95c3e56045990a81ce84702ab2e8c747c50de192125a0277baa5cae51","observation_id":"ba9bf18e-3317-431e-8221-e55e7f09f2a9","resolution":{"observed_at":"2026-08-15T16:54:07.300341Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1105.5811","last_updated":"2011-05-29T18:14:46Z","snapshot_observed_at":"2026-08-15T04:45:21.323074Z","submitted_at":"2011-05-29T18:14:46Z","title":"The harmonic structure of generic Kerr orbits","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1105.5811","snapshot_observed_at":"2026-08-15T16:54:07.307196Z","title":"Grossman, J","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.307196Z"},"links":{"cited_paper":"/paper/1105.5811","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:7f6c88bee776e522a5b81aec763d961c230a10107faca14409e5182c32a9b2e0","observation_id":"825e6029-413e-41be-8cb9-22829de3aa46","resolution":{"observed_at":"2026-08-15T16:54:07.307196Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1007.2699","last_updated":"2010-07-16T05:40:06Z","snapshot_observed_at":"2026-08-15T05:13:45.967373Z","submitted_at":"2010-07-16T05:40:06Z","title":"Rational Orbits around Charged Black Holes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1007.2699","snapshot_observed_at":"2026-08-15T16:54:07.314736Z","title":"Misra and J","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.314736Z"},"links":{"cited_paper":"/paper/1007.2699","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:6b7978adbd5d4abd30bc7fc31a6d01e0d8b78c61cdd0f2a973b6f935181a7f93","observation_id":"78a1666a-1c5b-43e0-ba21-1c4739405891","resolution":{"observed_at":"2026-08-15T16:54:07.314736Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.09171","last_updated":"2025-08-28T13:56:48Z","snapshot_observed_at":"2026-08-14T19:37:26.108186Z","submitted_at":"2025-02-13T10:54:45Z","title":"Periodic orbits and their gravitational wave radiations in black hole with dark matter halo","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.09171","snapshot_observed_at":"2026-08-15T16:54:07.320563Z","title":"Haroon and T","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.320563Z"},"links":{"cited_paper":"/paper/2502.09171","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:8f5f27ba386bc091034aa49fe255a00eac496c56bf4254508bc91df4a559029c","observation_id":"166c8b5c-a09e-40ab-8520-22ac986a2ac7","resolution":{"observed_at":"2026-08-15T16:54:07.320563Z","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":"2026-08-15T16:54:08.832591Z","title":null,"venue":null,"work_id":"da3bcc58-020d-4b25-8661-ced943aeabb6","year":2020},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.325639Z"},"links":{"citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:09964ba6015e8b9bcc96828b2acbd0d7a74bb23367b9420da58045bd2ccb8cf0","observation_id":"9afe7ea4-7412-48d8-bff3-02f60f4f280e","resolution":{"observed_at":"2026-08-15T16:54:08.837024Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"1904.03129","last_updated":"2019-05-29T03:32:42Z","snapshot_observed_at":"2026-08-14T16:51:05.374769Z","submitted_at":"2019-04-05T15:47:14Z","title":"Geodesics and periodic orbits in Kehagias-Sfetsos black holes in deformed Ho\\u{r}ava-Lifshitz gravity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1904.03129","snapshot_observed_at":"2026-08-15T16:54:07.331806Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.331806Z"},"links":{"cited_paper":"/paper/1904.03129","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:172d5e2c78188523c6251ec0749de3cca31b273173d916f6cb22fc83c5100d1b","observation_id":"80295c9b-8751-43dc-bad2-1876b0c530bf","resolution":{"observed_at":"2026-08-15T16:54:07.331806Z","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":"2026-08-15T16:54:08.817644Z","title":"Jiang, M","venue":null,"work_id":"7d8b1fbc-04e3-4a1c-9fe7-60ac26ae3dd3","year":2024},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.338523Z"},"links":{"citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:51dd6d9b095d9adff9890681e877ac172d785f1c1c14dccd49fb2a8d2ae98fa3","observation_id":"81c35b96-269b-4a3a-90ef-416ddc871751","resolution":{"observed_at":"2026-08-15T16:54:08.822791Z","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":"2407.00283","last_updated":"2025-04-07T12:13:12Z","snapshot_observed_at":"2026-08-12T23:32:21.656056Z","submitted_at":"2024-06-29T02:25:32Z","title":"Gravitational waveforms from periodic orbits around a quantum-corrected black hole","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.00283","snapshot_observed_at":"2026-08-15T16:54:07.346473Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.346473Z"},"links":{"cited_paper":"/paper/2407.00283","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:5d7a30706d29abbd38b1f240f21b695aef876ea60071e64bb0efb550ea12b806","observation_id":"f52da5fb-a2b2-47fb-8bd2-156040a2e0e9","resolution":{"observed_at":"2026-08-15T16:54:07.346473Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2304.14160","last_updated":"2023-07-20T06:22:10Z","snapshot_observed_at":"2026-08-13T11:54:03.285951Z","submitted_at":"2023-04-27T12:59:47Z","title":"Periodic orbits and their gravitational wave radiations in a polymer black hole in loop quantum gravity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2304.14160","snapshot_observed_at":"2026-08-15T16:54:07.352793Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.352793Z"},"links":{"cited_paper":"/paper/2304.14160","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:dffa590c3d5db93a2171f8e59e7b302970574b98abcb3ced4b2812fc867d9d7f","observation_id":"92240b2a-c346-4b3d-8c29-770ce8920c75","resolution":{"observed_at":"2026-08-15T16:54:07.352793Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1710.09581","last_updated":"2017-10-26T08:26:00Z","snapshot_observed_at":"2026-08-14T20:20:07.666109Z","submitted_at":"2017-10-26T08:26:00Z","title":"Periodic orbits around a spherically symmetric naked singularity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1710.09581","snapshot_observed_at":"2026-08-15T16:54:07.362398Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.362398Z"},"links":{"cited_paper":"/paper/1710.09581","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:ee81ec6d4c7c75a8d4f2c43944731189800b24d091788c4cb45a80264f73c178","observation_id":"a1f8f0aa-2917-4600-a923-bfc31f1312e2","resolution":{"observed_at":"2026-08-15T16:54:07.362398Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.02660","last_updated":"2025-07-02T11:31:58Z","snapshot_observed_at":"2026-08-16T03:57:44.095406Z","submitted_at":"2025-05-05T14:05:38Z","title":"Periodic orbits and gravitational waveforms in quantum-corrected black hole spacetimes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.02660","snapshot_observed_at":"2026-08-15T16:54:07.375437Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.375437Z"},"links":{"cited_paper":"/paper/2505.02660","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:c93e138eb6220dd81c148b1b5098cc58b32197a03c0e2ef6dcb512dbfb261f81","observation_id":"f254ca02-92e4-498f-8661-c16ab727e13f","resolution":{"observed_at":"2026-08-15T16:54:07.375437Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.05015","last_updated":"2026-05-02T14:57:43Z","snapshot_observed_at":"2026-08-13T07:01:18.550123Z","submitted_at":"2025-06-05T13:22:32Z","title":"Periodic Orbits and Gravitational Wave Radiation of Black Hole in EGB gravity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.05015","snapshot_observed_at":"2026-08-15T16:54:07.384604Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.384604Z"},"links":{"cited_paper":"/paper/2506.05015","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:06bed0c8ff507125616cc0eb1743a9f21695471279f244682b19f3f9d2f80efc","observation_id":"7ee1a7b8-ca96-4b66-990a-3284032af494","resolution":{"observed_at":"2026-08-15T16:54:07.384604Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.00294","last_updated":"2026-06-19T02:36:08Z","snapshot_observed_at":"2026-08-16T04:43:50.465407Z","submitted_at":"2025-05-01T04:34:03Z","title":"Gravitational radiations from periodic orbits around Einstein-\\AE{}ther black holes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.00294","snapshot_observed_at":"2026-08-15T16:54:07.393411Z","title":"Lu and T","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.393411Z"},"links":{"cited_paper":"/paper/2505.00294","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:821edb4f71ebbe96d0a8427d0d4f995262d6e38b4c5ec2fa3e7aac772e9b7434","observation_id":"33e57b79-0dc5-42bb-8a12-baae3bd3c12a","resolution":{"observed_at":"2026-08-15T16:54:07.393411Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2004.02602","last_updated":"2020-08-05T01:20:30Z","snapshot_observed_at":"2026-07-06T09:10:14.687536Z","submitted_at":"2020-04-02T06:56:00Z","title":"Orbital mechanics and quasiperiodic oscillation resonances of black holes in Einstein-{\\AE}ther theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2004.02602","snapshot_observed_at":"2026-08-15T16:54:07.404382Z","title":"Azreg-A¨ ınou, Z","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.404382Z"},"links":{"cited_paper":"/paper/2004.02602","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:c8ddcff98eed1536b99b52bdd6a2bc2187df7ca4168a9d68475a9cb11f240658","observation_id":"e07692b8-b7c7-494d-8abe-da02844758a6","resolution":{"observed_at":"2026-08-15T16:54:07.404382Z","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":"2026-08-15T16:54:07.415065Z","title":"Alloqulov, S","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.415065Z"},"links":{"citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:65a5a6d4f63fe5bf83ee9de67658c373ac55249029f5780e733fa250d199b25c","observation_id":"4e7cd31b-7d0d-4278-a03b-f612006219cb","resolution":{"observed_at":"2026-08-15T16:54:07.415065Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1907.10876","last_updated":"2019-07-25T07:42:17Z","snapshot_observed_at":"2026-07-06T08:10:05.138655Z","submitted_at":"2019-07-25T07:42:17Z","title":"Quasi-topological Electromagnetism: Dark Energy, Dyonic Black Holes, Stable Photon Spheres and Hidden Electromagnetic Duality","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1907.10876","snapshot_observed_at":"2026-08-15T16:54:07.424443Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.424443Z"},"links":{"cited_paper":"/paper/1907.10876","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:9cfb8e19f7e8245803ef722b1cc740444bef4bd7c2d5c405f9b9469207260023","observation_id":"639d5659-5f78-4c29-b571-6bd1e93f5047","resolution":{"observed_at":"2026-08-15T16:54:07.424443Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2006.02112","last_updated":"2020-09-15T08:50:32Z","snapshot_observed_at":"2026-08-14T21:06:01.162655Z","submitted_at":"2020-06-03T09:08:04Z","title":"Topological Charge and Black Hole Photon Spheres","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2006.02112","snapshot_observed_at":"2026-08-15T16:54:07.432625Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.432625Z"},"links":{"cited_paper":"/paper/2006.02112","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:ad4fb8b3b8532c98a247661584957e376c94ed89a1facf683ce63778e93442da","observation_id":"bec8b753-3e14-4b1b-8231-a2336bff742d","resolution":{"observed_at":"2026-08-15T16:54:07.432625Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2104.08703","last_updated":"2021-05-03T14:38:52Z","snapshot_observed_at":"2026-08-05T03:49:47.805068Z","submitted_at":"2021-04-18T04:02:16Z","title":"Photon Spheres and Spherical Accretion Image of a Hairy Black Hole","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2104.08703","snapshot_observed_at":"2026-08-15T16:54:07.440855Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.440855Z"},"links":{"cited_paper":"/paper/2104.08703","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:1e9aa3ea212fa797f51e1317789c0b4fd067ee1d892a4b9949200eec0d51e324","observation_id":"254739e8-3522-4612-ba99-5f664ff90052","resolution":{"observed_at":"2026-08-15T16:54:07.440855Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.11770","last_updated":"2021-06-02T14:11:29Z","snapshot_observed_at":"2026-08-14T01:20:59.906650Z","submitted_at":"2021-05-25T09:11:34Z","title":"Photon Ring and Observational Appearance of a Hairy Black Hole","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.11770","snapshot_observed_at":"2026-08-15T16:54:07.449541Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.449541Z"},"links":{"cited_paper":"/paper/2105.11770","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:4e5949e72663eb5a7a1ea675f435e21c25d46efe6a7958a18fd0eeba0a47e948","observation_id":"5473795a-191f-4361-961a-a1f0957e0678","resolution":{"observed_at":"2026-08-15T16:54:07.449541Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2204.13948","last_updated":"2022-05-07T15:06:32Z","snapshot_observed_at":"2026-08-13T15:53:29.054090Z","submitted_at":"2022-04-29T08:47:56Z","title":"Gravitational Lensing by Black Holes with Multiple Photon Spheres","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2204.13948","snapshot_observed_at":"2026-08-15T16:54:07.456958Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.456958Z"},"links":{"cited_paper":"/paper/2204.13948","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:e5f0e2ee90c4bc2df5c078ea0fcf0a13ea3d162dabe5ebcfbbc2d861b2d73966","observation_id":"f258f6ad-55ab-454f-ba4b-2e61fb86782a","resolution":{"observed_at":"2026-08-15T16:54:07.456958Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2303.06814","last_updated":"2023-10-23T08:15:35Z","snapshot_observed_at":"2026-08-13T12:26:05.626280Z","submitted_at":"2023-03-13T02:14:33Z","title":"Static spheres around spherically symmetric black hole spacetime","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2303.06814","snapshot_observed_at":"2026-08-15T16:54:07.466173Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.466173Z"},"links":{"cited_paper":"/paper/2303.06814","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:dac4fe498f58695af92faa2c2c15c9b525e2708404a412c8c2fd187eebba7a88","observation_id":"ee033a4c-4273-4bf6-a788-e2ec9189fac5","resolution":{"observed_at":"2026-08-15T16:54:07.466173Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2308.11883","last_updated":"2024-12-08T04:54:55Z","snapshot_observed_at":"2026-08-14T18:05:11.522712Z","submitted_at":"2023-08-23T03:02:46Z","title":"Aschenbach effect and circular orbits in static and spherically symmetric black hole backgrounds","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2308.11883","snapshot_observed_at":"2026-08-15T16:54:07.477542Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.477542Z"},"links":{"cited_paper":"/paper/2308.11883","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:b1edc2b1b17ebf35f667282a6fe5bcba86aa24e845a294c000cf175f8b9e2957","observation_id":"75e559c9-5564-4553-a977-7eb9ce3a0187","resolution":{"observed_at":"2026-08-15T16:54:07.477542Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2301.04786","last_updated":"2023-07-26T06:25:09Z","snapshot_observed_at":"2026-08-13T13:05:36.733773Z","submitted_at":"2023-01-12T02:31:43Z","title":"Distinct topological configurations of equatorial timelike circular orbit for spherically symmetric (hairy) black holes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2301.04786","snapshot_observed_at":"2026-08-15T16:54:07.484403Z","title":"Ye and S","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.484403Z"},"links":{"cited_paper":"/paper/2301.04786","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:76d55dd13e4a08f8cc252246acc5712fe4b5c7ac88f5c8beb1772e8562b5f150","observation_id":"e1690836-13d3-4f6c-a940-abfe60010380","resolution":{"observed_at":"2026-08-15T16:54:07.484403Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2307.01996","last_updated":"2024-01-29T07:33:30Z","snapshot_observed_at":"2026-08-13T11:02:41.765768Z","submitted_at":"2023-07-05T02:58:09Z","title":"Geometrically thick equilibrium tori around a dyonic black hole with quasi-topological electromagnetism","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2307.01996","snapshot_observed_at":"2026-08-15T16:54:07.491940Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.491940Z"},"links":{"cited_paper":"/paper/2307.01996","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:21fe850b7bb890631e86dc8397e08909e5fbb3bf99573f54f80560bac3e452eb","observation_id":"b8aecf46-3a72-4262-a862-57e9c076db84","resolution":{"observed_at":"2026-08-15T16:54:07.491940Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2008.01384","last_updated":"2021-09-01T15:26:34Z","snapshot_observed_at":"2026-08-15T04:14:51.295056Z","submitted_at":"2020-08-04T07:46:49Z","title":"Chaos of Particle Motion near the Black Hole with Quasi-topological Electromagnetism","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2008.01384","snapshot_observed_at":"2026-08-15T16:54:07.500184Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.500184Z"},"links":{"cited_paper":"/paper/2008.01384","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:77450bb57641c9a36c9801175773775045641bbb2b3ab2c269badb07adf91fea","observation_id":"3a0c8bbe-3c21-485c-bc1c-75978daea61c","resolution":{"observed_at":"2026-08-15T16:54:07.500184Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2112.14780","last_updated":"2021-12-29T19:00:01Z","snapshot_observed_at":"2026-08-14T14:35:37.395853Z","submitted_at":"2021-12-29T19:00:01Z","title":"Echoes from Classical Black Holes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2112.14780","snapshot_observed_at":"2026-08-15T16:54:07.506869Z","title":"Huang, M","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.506869Z"},"links":{"cited_paper":"/paper/2112.14780","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:d530b28de857103494b6c7d3892e62ca7883d6c5f5d398776d5a99791fb9b321","observation_id":"a9cf7e1e-aa21-4c01-9ead-f4a8921fe99e","resolution":{"observed_at":"2026-08-15T16:54:07.506869Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2201.09026","last_updated":"2022-05-26T06:23:00Z","snapshot_observed_at":"2026-08-13T16:54:53.831641Z","submitted_at":"2022-01-22T11:48:10Z","title":"Triple points and novel phase transitions of dyonic AdS black holes with quasitopological electromagnetism","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2201.09026","snapshot_observed_at":"2026-08-15T16:54:07.517152Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.517152Z"},"links":{"cited_paper":"/paper/2201.09026","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:1282919399d4b7122b8c129f7497734f08aa936f822e008e496faa6f1516939f","observation_id":"fa965525-57f4-46f1-9d0b-6a465d527f3c","resolution":{"observed_at":"2026-08-15T16:54:07.517152Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.07525","last_updated":"2024-05-13T07:45:44Z","snapshot_observed_at":"2026-08-15T16:35:21.118450Z","submitted_at":"2024-05-13T07:45:44Z","title":"Thermodynamical topology with multiple defect curves for dyonic AdS black holes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.07525","snapshot_observed_at":"2026-08-15T16:54:07.525414Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-15T16:54:07.525414Z"},"links":{"cited_paper":"/paper/2405.07525","citing_paper":"/paper/2508.20558"},"observation_digest":"sha256:0d654600a0ff95bb6f1c7c8ef9ce1f8899d956bd740c416fc7852962b034ee00","observation_id":"283ad736-5af7-480d-ae2e-9d1e134e37f1","resolution":{"observed_at":"2026-08-15T16:54:07.525414Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2508.20558","last_updated":"2025-08-28T08:51:46Z","latest_version":1,"primary_category":"gr-qc","snapshot_observed_at":"2026-08-15T18:03:35.294535Z","submitted_at":"2025-08-28T08:51:46Z","title":"A new type of multi-branch periodic orbits in dyonic black holes"},"reference_resolution":{"displayed":55,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":49,"verified_exact":0,"verified_fuzzy":5},"total_outbound_references":55},"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 55 of 55 outbound references and 11 inbound Pith citation observations for arXiv:2508.20558."}