{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:OPUU3RCRXQ4R5LJ7MCVF3QBVUR","short_pith_number":"pith:OPUU3RCR","canonical_record":{"source":{"id":"2106.01740","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-06-03T10:41:15Z","cross_cats_sorted":["astro-ph.HE","hep-ph"],"title_canon_sha256":"5cff6d57f1c920da21724c9b96f36ab5d12007b4ad9b3837d620d7fbf46ce587","abstract_canon_sha256":"795ba8379369be45390e152d984bc39a789a0a3bf5a419bab62234fcce2bd6fc"},"schema_version":"1.0"},"canonical_sha256":"73e94dc451bc391ead3f60aa5dc035a454370d2d9b821a03c4839157e673e2e4","source":{"kind":"arxiv","id":"2106.01740","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2106.01740","created_at":"2026-07-05T02:49:31Z"},{"alias_kind":"arxiv_version","alias_value":"2106.01740v1","created_at":"2026-07-05T02:49:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2106.01740","created_at":"2026-07-05T02:49:31Z"},{"alias_kind":"pith_short_12","alias_value":"OPUU3RCRXQ4R","created_at":"2026-07-05T02:49:31Z"},{"alias_kind":"pith_short_16","alias_value":"OPUU3RCRXQ4R5LJ7","created_at":"2026-07-05T02:49:31Z"},{"alias_kind":"pith_short_8","alias_value":"OPUU3RCR","created_at":"2026-07-05T02:49:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:OPUU3RCRXQ4R5LJ7MCVF3QBVUR","target":"record","payload":{"canonical_record":{"source":{"id":"2106.01740","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-06-03T10:41:15Z","cross_cats_sorted":["astro-ph.HE","hep-ph"],"title_canon_sha256":"5cff6d57f1c920da21724c9b96f36ab5d12007b4ad9b3837d620d7fbf46ce587","abstract_canon_sha256":"795ba8379369be45390e152d984bc39a789a0a3bf5a419bab62234fcce2bd6fc"},"schema_version":"1.0"},"canonical_sha256":"73e94dc451bc391ead3f60aa5dc035a454370d2d9b821a03c4839157e673e2e4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:49:31.342669Z","signature_b64":"R8/STeZpcPvxfL0PJHC13QX1JiQs2fEKBRrlMLISOxqod4vm9zqnpQ0Xtf3y4pPRQ4ARLJntB2kHmKKN+4cVDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"73e94dc451bc391ead3f60aa5dc035a454370d2d9b821a03c4839157e673e2e4","last_reissued_at":"2026-07-05T02:49:31.342263Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:49:31.342263Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2106.01740","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":"2026-07-05T02:49:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IGTcm+MhhufsDR/KtMVsI71nTpodCUk2eGwmKxrdn5S8x2r/qjByT821jqPWPq5izL15uiEKAHlHTB+6NC8mCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T17:39:14.107399Z"},"content_sha256":"7878a3f1e737586957d52956532b464585cb5fc1cd553e13ba7ef902b42a1601","schema_version":"1.0","event_id":"sha256:7878a3f1e737586957d52956532b464585cb5fc1cd553e13ba7ef902b42a1601"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:OPUU3RCRXQ4R5LJ7MCVF3QBVUR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Boson stars and their radial oscillations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE","hep-ph"],"primary_cat":"gr-qc","authors_text":"Ben Kain","submitted_at":"2021-06-03T10:41:15Z","abstract_excerpt":"We review the derivation of the pulsations equations for spherically symmetric boson stars and then make a thorough study of the radial oscillation frequencies for the fundamental and first excited modes. We do this for self-interacting boson stars and consider a range of values for the self-coupling constant. We also numerically evolve boson stars and Fourier transform the dynamic solutions. The Fourier transform gives an independent computation of the radial oscillation frequencies and allows us to verify our results obtained from the pulsation equations. We find excellent agreement between "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.01740","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/2106.01740/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":"2026-07-05T02:49:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6sVrqFYuX9fPn6bvSb/aWepkInQoMBojZU/FZ3HzJuso1OmevNghYs/GOS++NAGlrkXOVI2Q91+YZ7n9mZydAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T17:39:14.108034Z"},"content_sha256":"0ebf02044b23b05231d6c1a59b788c5c6ee9e925b6e633bdd97e7d1a7e39ceec","schema_version":"1.0","event_id":"sha256:0ebf02044b23b05231d6c1a59b788c5c6ee9e925b6e633bdd97e7d1a7e39ceec"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OPUU3RCRXQ4R5LJ7MCVF3QBVUR/bundle.json","state_url":"https://pith.science/pith/OPUU3RCRXQ4R5LJ7MCVF3QBVUR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OPUU3RCRXQ4R5LJ7MCVF3QBVUR/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":"2026-08-09T17:39:14Z","links":{"resolver":"https://pith.science/pith/OPUU3RCRXQ4R5LJ7MCVF3QBVUR","bundle":"https://pith.science/pith/OPUU3RCRXQ4R5LJ7MCVF3QBVUR/bundle.json","state":"https://pith.science/pith/OPUU3RCRXQ4R5LJ7MCVF3QBVUR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OPUU3RCRXQ4R5LJ7MCVF3QBVUR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:OPUU3RCRXQ4R5LJ7MCVF3QBVUR","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":"795ba8379369be45390e152d984bc39a789a0a3bf5a419bab62234fcce2bd6fc","cross_cats_sorted":["astro-ph.HE","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-06-03T10:41:15Z","title_canon_sha256":"5cff6d57f1c920da21724c9b96f36ab5d12007b4ad9b3837d620d7fbf46ce587"},"schema_version":"1.0","source":{"id":"2106.01740","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2106.01740","created_at":"2026-07-05T02:49:31Z"},{"alias_kind":"arxiv_version","alias_value":"2106.01740v1","created_at":"2026-07-05T02:49:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2106.01740","created_at":"2026-07-05T02:49:31Z"},{"alias_kind":"pith_short_12","alias_value":"OPUU3RCRXQ4R","created_at":"2026-07-05T02:49:31Z"},{"alias_kind":"pith_short_16","alias_value":"OPUU3RCRXQ4R5LJ7","created_at":"2026-07-05T02:49:31Z"},{"alias_kind":"pith_short_8","alias_value":"OPUU3RCR","created_at":"2026-07-05T02:49:31Z"}],"graph_snapshots":[{"event_id":"sha256:0ebf02044b23b05231d6c1a59b788c5c6ee9e925b6e633bdd97e7d1a7e39ceec","target":"graph","created_at":"2026-07-05T02:49:31Z","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/2106.01740/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We review the derivation of the pulsations equations for spherically symmetric boson stars and then make a thorough study of the radial oscillation frequencies for the fundamental and first excited modes. We do this for self-interacting boson stars and consider a range of values for the self-coupling constant. We also numerically evolve boson stars and Fourier transform the dynamic solutions. The Fourier transform gives an independent computation of the radial oscillation frequencies and allows us to verify our results obtained from the pulsation equations. We find excellent agreement between ","authors_text":"Ben Kain","cross_cats":["astro-ph.HE","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-06-03T10:41:15Z","title":"Boson stars and their radial oscillations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.01740","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":"sha256:7878a3f1e737586957d52956532b464585cb5fc1cd553e13ba7ef902b42a1601","target":"record","created_at":"2026-07-05T02:49:31Z","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":"795ba8379369be45390e152d984bc39a789a0a3bf5a419bab62234fcce2bd6fc","cross_cats_sorted":["astro-ph.HE","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-06-03T10:41:15Z","title_canon_sha256":"5cff6d57f1c920da21724c9b96f36ab5d12007b4ad9b3837d620d7fbf46ce587"},"schema_version":"1.0","source":{"id":"2106.01740","kind":"arxiv","version":1}},"canonical_sha256":"73e94dc451bc391ead3f60aa5dc035a454370d2d9b821a03c4839157e673e2e4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73e94dc451bc391ead3f60aa5dc035a454370d2d9b821a03c4839157e673e2e4","first_computed_at":"2026-07-05T02:49:31.342263Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:49:31.342263Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R8/STeZpcPvxfL0PJHC13QX1JiQs2fEKBRrlMLISOxqod4vm9zqnpQ0Xtf3y4pPRQ4ARLJntB2kHmKKN+4cVDg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:49:31.342669Z","signed_message":"canonical_sha256_bytes"},"source_id":"2106.01740","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7878a3f1e737586957d52956532b464585cb5fc1cd553e13ba7ef902b42a1601","sha256:0ebf02044b23b05231d6c1a59b788c5c6ee9e925b6e633bdd97e7d1a7e39ceec"],"state_sha256":"4ee1d03d2d2488fcc1ccc025445e60148e7b7f47b004bf929b5a4faa2b8ff2d2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d7NX9WaM855frs6LCzg8mGkoJPo5GtFhtYnu2kcZEOfijJogGPblQKssWgthgLvGm217i7wi71h3kF7RxAF1Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T17:39:14.111845Z","bundle_sha256":"9ff52a1822b24ba8d07bd71563406ef1dbf2b04a79c8d20d7eeda68fe997b2c5"}}