{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:WPGU7XHQT5XBHEK7CVLUQ2XIQY","short_pith_number":"pith:WPGU7XHQ","canonical_record":{"source":{"id":"2108.09466","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-08-21T09:01:01Z","cross_cats_sorted":[],"title_canon_sha256":"f01a9bd3ab5ca71ff4906e631114009ba76c7fc9116003f6f1bfa583deb3ae30","abstract_canon_sha256":"80f97f62b4743a6409860eb37c914099b761b8dc2bef3ba01f4ac4659011f44b"},"schema_version":"1.0"},"canonical_sha256":"b3cd4fdcf09f6e13915f1557486ae886382e5c326cf89524ce8fd0b946737344","source":{"kind":"arxiv","id":"2108.09466","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2108.09466","created_at":"2026-07-05T03:07:54Z"},{"alias_kind":"arxiv_version","alias_value":"2108.09466v1","created_at":"2026-07-05T03:07:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2108.09466","created_at":"2026-07-05T03:07:54Z"},{"alias_kind":"pith_short_12","alias_value":"WPGU7XHQT5XB","created_at":"2026-07-05T03:07:54Z"},{"alias_kind":"pith_short_16","alias_value":"WPGU7XHQT5XBHEK7","created_at":"2026-07-05T03:07:54Z"},{"alias_kind":"pith_short_8","alias_value":"WPGU7XHQ","created_at":"2026-07-05T03:07:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:WPGU7XHQT5XBHEK7CVLUQ2XIQY","target":"record","payload":{"canonical_record":{"source":{"id":"2108.09466","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-08-21T09:01:01Z","cross_cats_sorted":[],"title_canon_sha256":"f01a9bd3ab5ca71ff4906e631114009ba76c7fc9116003f6f1bfa583deb3ae30","abstract_canon_sha256":"80f97f62b4743a6409860eb37c914099b761b8dc2bef3ba01f4ac4659011f44b"},"schema_version":"1.0"},"canonical_sha256":"b3cd4fdcf09f6e13915f1557486ae886382e5c326cf89524ce8fd0b946737344","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:07:54.647292Z","signature_b64":"JHHra6TfG0VLF3BmJBz3FTKATa5gS74CsuAg2vKGRYuoEmUqtO+50K2eaYY/hppeZaIr5wxFRdg8aZ1N6usjCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b3cd4fdcf09f6e13915f1557486ae886382e5c326cf89524ce8fd0b946737344","last_reissued_at":"2026-07-05T03:07:54.646956Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:07:54.646956Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2108.09466","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T03:07:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TwBCGJ92GGvg/ql5G0Vk3KCe6JishlBMEZbd9m6vyvXq9F5AZszi+TEpJc04VV3JRbNb3pyVQWXg0PL5uJnDDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T22:46:14.753366Z"},"content_sha256":"2105988532d225cf0691c5dfd5a3860a726763637b0fa314a20896cd233c32c1","schema_version":"1.0","event_id":"sha256:2105988532d225cf0691c5dfd5a3860a726763637b0fa314a20896cd233c32c1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:WPGU7XHQT5XBHEK7CVLUQ2XIQY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Trapping of null geodesics in slowly rotating extremely compact Tolman VII spacetimes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Jaroslav Vrba, Zden\\v{e}k Stuchl\\'ik","submitted_at":"2021-08-21T09:01:01Z","abstract_excerpt":"Region of trapped null geodesics hidden inside of extremely compact objects is of astrophysical importance because of trapping of gravitational waves, or neutrinos. The trapping effect of null geodesics was extensively studied for spherically symmetric extremely compact objects. Recently, influence of rotation of the extremely compact objects on the trapping of null geodesics was treated in the simplest possible model of internal linearised \\mbox{Hartle--Thorne} spacetime with uniform energy density distribution and uniform emissivity distribution of null geodesics. Here we extend the study of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2108.09466","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2108.09466/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T03:07:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"socmnDLfnfKg37a9e8qmSI1rvHzCPxi9VWpsQa0QSw3lQfQcHSUW8RFnUOXzij0+mHBxC+duYfE86eiAvRXPDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T22:46:14.753864Z"},"content_sha256":"53bebd617bd24dbe4a56a09a4be1f52c08e38f4e25823ff7cb37d1d6b530b10b","schema_version":"1.0","event_id":"sha256:53bebd617bd24dbe4a56a09a4be1f52c08e38f4e25823ff7cb37d1d6b530b10b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WPGU7XHQT5XBHEK7CVLUQ2XIQY/bundle.json","state_url":"https://pith.science/pith/WPGU7XHQT5XBHEK7CVLUQ2XIQY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WPGU7XHQT5XBHEK7CVLUQ2XIQY/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-12T22:46:14Z","links":{"resolver":"https://pith.science/pith/WPGU7XHQT5XBHEK7CVLUQ2XIQY","bundle":"https://pith.science/pith/WPGU7XHQT5XBHEK7CVLUQ2XIQY/bundle.json","state":"https://pith.science/pith/WPGU7XHQT5XBHEK7CVLUQ2XIQY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WPGU7XHQT5XBHEK7CVLUQ2XIQY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:WPGU7XHQT5XBHEK7CVLUQ2XIQY","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"80f97f62b4743a6409860eb37c914099b761b8dc2bef3ba01f4ac4659011f44b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-08-21T09:01:01Z","title_canon_sha256":"f01a9bd3ab5ca71ff4906e631114009ba76c7fc9116003f6f1bfa583deb3ae30"},"schema_version":"1.0","source":{"id":"2108.09466","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2108.09466","created_at":"2026-07-05T03:07:54Z"},{"alias_kind":"arxiv_version","alias_value":"2108.09466v1","created_at":"2026-07-05T03:07:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2108.09466","created_at":"2026-07-05T03:07:54Z"},{"alias_kind":"pith_short_12","alias_value":"WPGU7XHQT5XB","created_at":"2026-07-05T03:07:54Z"},{"alias_kind":"pith_short_16","alias_value":"WPGU7XHQT5XBHEK7","created_at":"2026-07-05T03:07:54Z"},{"alias_kind":"pith_short_8","alias_value":"WPGU7XHQ","created_at":"2026-07-05T03:07:54Z"}],"graph_snapshots":[{"event_id":"sha256:53bebd617bd24dbe4a56a09a4be1f52c08e38f4e25823ff7cb37d1d6b530b10b","target":"graph","created_at":"2026-07-05T03:07:54Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2108.09466/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Region of trapped null geodesics hidden inside of extremely compact objects is of astrophysical importance because of trapping of gravitational waves, or neutrinos. The trapping effect of null geodesics was extensively studied for spherically symmetric extremely compact objects. Recently, influence of rotation of the extremely compact objects on the trapping of null geodesics was treated in the simplest possible model of internal linearised \\mbox{Hartle--Thorne} spacetime with uniform energy density distribution and uniform emissivity distribution of null geodesics. Here we extend the study of","authors_text":"Jaroslav Vrba, Zden\\v{e}k Stuchl\\'ik","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-08-21T09:01:01Z","title":"Trapping of null geodesics in slowly rotating extremely compact Tolman VII spacetimes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2108.09466","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:2105988532d225cf0691c5dfd5a3860a726763637b0fa314a20896cd233c32c1","target":"record","created_at":"2026-07-05T03:07:54Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"80f97f62b4743a6409860eb37c914099b761b8dc2bef3ba01f4ac4659011f44b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-08-21T09:01:01Z","title_canon_sha256":"f01a9bd3ab5ca71ff4906e631114009ba76c7fc9116003f6f1bfa583deb3ae30"},"schema_version":"1.0","source":{"id":"2108.09466","kind":"arxiv","version":1}},"canonical_sha256":"b3cd4fdcf09f6e13915f1557486ae886382e5c326cf89524ce8fd0b946737344","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b3cd4fdcf09f6e13915f1557486ae886382e5c326cf89524ce8fd0b946737344","first_computed_at":"2026-07-05T03:07:54.646956Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:07:54.646956Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JHHra6TfG0VLF3BmJBz3FTKATa5gS74CsuAg2vKGRYuoEmUqtO+50K2eaYY/hppeZaIr5wxFRdg8aZ1N6usjCA==","signature_status":"signed_v1","signed_at":"2026-07-05T03:07:54.647292Z","signed_message":"canonical_sha256_bytes"},"source_id":"2108.09466","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2105988532d225cf0691c5dfd5a3860a726763637b0fa314a20896cd233c32c1","sha256:53bebd617bd24dbe4a56a09a4be1f52c08e38f4e25823ff7cb37d1d6b530b10b"],"state_sha256":"825a5a125080875b39c3aadb051fa8fd9a464378c2ce7ae4a36744668e357b1b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CdQ3+cEMQmzts231LWY6A758+S4i/2hk7g8Enfi+te8hGAjSRCizzYWF2+786DdV794h8Wi5u0Lnd+fSq3ulBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T22:46:14.768762Z","bundle_sha256":"5c66310939a7004eb6ba903d15e19774b02ed8ccf78a2352a8fb8086871a114d"}}