{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:MQX4RQWJPMN2CKK4NWOXAJ4ZUP","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":"e53ef5e628ef363a2292520fe512240e796164c1e919bbf2b94580df023711a2","cross_cats_sorted":["astro-ph.HE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-07-08T20:00:23Z","title_canon_sha256":"8eef6d32e833e23f1bacbfb1a89aa4eb4a00b9531b1e57066f88502ead15f737"},"schema_version":"1.0","source":{"id":"1507.02278","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.02278","created_at":"2026-05-18T01:28:54Z"},{"alias_kind":"arxiv_version","alias_value":"1507.02278v2","created_at":"2026-05-18T01:28:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.02278","created_at":"2026-05-18T01:28:54Z"},{"alias_kind":"pith_short_12","alias_value":"MQX4RQWJPMN2","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"MQX4RQWJPMN2CKK4","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"MQX4RQWJ","created_at":"2026-05-18T12:29:32Z"}],"graph_snapshots":[{"event_id":"sha256:6fc49ace2fef361963259ab9e71c0d072530a3d20215ed321a7d84b6cb3beb05","target":"graph","created_at":"2026-05-18T01:28:54Z","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"},"paper":{"abstract_excerpt":"The opportunity to study physics at supra-nuclear densities through X-ray observations of neutron stars has led to in-depth investigations of certain approximately universal relations that can remove degeneracies in pulse profile models. One such set of relations determines all of the multipole moments of a neutron star just from the first three (the mass monopole, the current dipole and the mass quadrupole moment) approximately independently of the equation of state. These three-hair relations were found to hold in neutron stars that rotate rigidly, as is the case in old pulsars, but neutron ","authors_text":"Joseph Bretz, Kent Yagi, Nicolas Yunes","cross_cats":["astro-ph.HE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-07-08T20:00:23Z","title":"Four-Hair Relations for Differentially Rotating Neutron Stars in the Weak-Field Limit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.02278","kind":"arxiv","version":2},"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":"sha256:6a74defac8e19acfdd9f924b062142b0a003c1e1d550aad3858b1e013ac07cb8","target":"record","created_at":"2026-05-18T01:28:54Z","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":"e53ef5e628ef363a2292520fe512240e796164c1e919bbf2b94580df023711a2","cross_cats_sorted":["astro-ph.HE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-07-08T20:00:23Z","title_canon_sha256":"8eef6d32e833e23f1bacbfb1a89aa4eb4a00b9531b1e57066f88502ead15f737"},"schema_version":"1.0","source":{"id":"1507.02278","kind":"arxiv","version":2}},"canonical_sha256":"642fc8c2c97b1ba1295c6d9d702799a3e72422e42739363add65bcc4cfd130d0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"642fc8c2c97b1ba1295c6d9d702799a3e72422e42739363add65bcc4cfd130d0","first_computed_at":"2026-05-18T01:28:54.044647Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:28:54.044647Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"71WU4e2KYKc+7npAu+dQrGXn1MGXUK0J81JrgP81UtTga7wq0RkR0HMCfuHGt+Co5kUNXqU3B7BVpQVeAMWpBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:28:54.045261Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.02278","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6a74defac8e19acfdd9f924b062142b0a003c1e1d550aad3858b1e013ac07cb8","sha256:6fc49ace2fef361963259ab9e71c0d072530a3d20215ed321a7d84b6cb3beb05"],"state_sha256":"1534af1d21564c49396ce10675793bfed3422e81ed35723b20696e79f8af1f4e"}