{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:GC4JXVOAVSVULO4YPG7NN7JR5Q","short_pith_number":"pith:GC4JXVOA","schema_version":"1.0","canonical_sha256":"30b89bd5c0acab45bb9879bed6fd31ec20ab23ea2bc0dc18037ffd946d81318d","source":{"kind":"arxiv","id":"1404.1928","version":2},"attestation_state":"computed","paper":{"title":"Pulsar Timing Constraints on Cumulative and Individual Mass of Stars in the Galactic Center","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE"],"primary_cat":"astro-ph.IM","authors_text":"Abraham Loeb, Pierre Christian","submitted_at":"2014-04-07T20:00:26Z","abstract_excerpt":"We consider the time derivatives of the period $P$ of pulsars at the Galactic Center due to variations in their orbital Doppler shifts. We show that in conjunction with a measurement of a pulsar's proper motion and its projected separation from the supermassive black hole, Sgr A*,measuring two of the three derivatives $\\dot{P}$, $\\ddot{P}$, or $\\dddot{P}$ sets a constraint that allows for the recovery of the complete six phase space coordinates of the pulsar's orbit, as well as the enclosed mass within the orbit. Thus, one can use multiple pulsars at different distances from Sgr A* to determin"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1404.1928","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2014-04-07T20:00:26Z","cross_cats_sorted":["astro-ph.HE"],"title_canon_sha256":"c52b6b2038fa1f794c77e0cd69b62eebda0a8d55186e284718b2edd53e277abb","abstract_canon_sha256":"4deb538ed550aef11d41e99cedf66c646fae002c94925cf62b961b867e0f2f30"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:43:36.783398Z","signature_b64":"PlsIP8cdB4xkiepfKF+Wq3WJY5DELvK1kVtQlAk/zgGj3kaAZ0//4V/do+YwRLqZqe623Ob0rGSkBJ0Jj7trDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"30b89bd5c0acab45bb9879bed6fd31ec20ab23ea2bc0dc18037ffd946d81318d","last_reissued_at":"2026-05-18T01:43:36.782807Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:43:36.782807Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Pulsar Timing Constraints on Cumulative and Individual Mass of Stars in the Galactic Center","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE"],"primary_cat":"astro-ph.IM","authors_text":"Abraham Loeb, Pierre Christian","submitted_at":"2014-04-07T20:00:26Z","abstract_excerpt":"We consider the time derivatives of the period $P$ of pulsars at the Galactic Center due to variations in their orbital Doppler shifts. We show that in conjunction with a measurement of a pulsar's proper motion and its projected separation from the supermassive black hole, Sgr A*,measuring two of the three derivatives $\\dot{P}$, $\\ddot{P}$, or $\\dddot{P}$ sets a constraint that allows for the recovery of the complete six phase space coordinates of the pulsar's orbit, as well as the enclosed mass within the orbit. Thus, one can use multiple pulsars at different distances from Sgr A* to determin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.1928","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1404.1928","created_at":"2026-05-18T01:43:36.782902+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.1928v2","created_at":"2026-05-18T01:43:36.782902+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.1928","created_at":"2026-05-18T01:43:36.782902+00:00"},{"alias_kind":"pith_short_12","alias_value":"GC4JXVOAVSVU","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_16","alias_value":"GC4JXVOAVSVULO4Y","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_8","alias_value":"GC4JXVOA","created_at":"2026-05-18T12:28:30.664211+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GC4JXVOAVSVULO4YPG7NN7JR5Q","json":"https://pith.science/pith/GC4JXVOAVSVULO4YPG7NN7JR5Q.json","graph_json":"https://pith.science/api/pith-number/GC4JXVOAVSVULO4YPG7NN7JR5Q/graph.json","events_json":"https://pith.science/api/pith-number/GC4JXVOAVSVULO4YPG7NN7JR5Q/events.json","paper":"https://pith.science/paper/GC4JXVOA"},"agent_actions":{"view_html":"https://pith.science/pith/GC4JXVOAVSVULO4YPG7NN7JR5Q","download_json":"https://pith.science/pith/GC4JXVOAVSVULO4YPG7NN7JR5Q.json","view_paper":"https://pith.science/paper/GC4JXVOA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.1928&json=true","fetch_graph":"https://pith.science/api/pith-number/GC4JXVOAVSVULO4YPG7NN7JR5Q/graph.json","fetch_events":"https://pith.science/api/pith-number/GC4JXVOAVSVULO4YPG7NN7JR5Q/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GC4JXVOAVSVULO4YPG7NN7JR5Q/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GC4JXVOAVSVULO4YPG7NN7JR5Q/action/storage_attestation","attest_author":"https://pith.science/pith/GC4JXVOAVSVULO4YPG7NN7JR5Q/action/author_attestation","sign_citation":"https://pith.science/pith/GC4JXVOAVSVULO4YPG7NN7JR5Q/action/citation_signature","submit_replication":"https://pith.science/pith/GC4JXVOAVSVULO4YPG7NN7JR5Q/action/replication_record"}},"created_at":"2026-05-18T01:43:36.782902+00:00","updated_at":"2026-05-18T01:43:36.782902+00:00"}