{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:OBUNMRTY6HZOOLK5DL5WJNT7GA","short_pith_number":"pith:OBUNMRTY","canonical_record":{"source":{"id":"2503.00098","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-02-28T19:00:00Z","cross_cats_sorted":["astro-ph.HE","nucl-th"],"title_canon_sha256":"88660a454e9117628662248037caffc4980ca4abc955a095c592dc9296cd3f58","abstract_canon_sha256":"9d2d27aa3ea245c28bc7581ef89bbb0a8a2537e6fdf05c1ec1f2743485f39d19"},"schema_version":"1.0"},"canonical_sha256":"7068d64678f1f2e72d5d1afb64b67f30280b40a7944732e46dcaaeb4cad0ddff","source":{"kind":"arxiv","id":"2503.00098","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.00098","created_at":"2026-07-05T11:44:01Z"},{"alias_kind":"arxiv_version","alias_value":"2503.00098v2","created_at":"2026-07-05T11:44:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.00098","created_at":"2026-07-05T11:44:01Z"},{"alias_kind":"pith_short_12","alias_value":"OBUNMRTY6HZO","created_at":"2026-07-05T11:44:01Z"},{"alias_kind":"pith_short_16","alias_value":"OBUNMRTY6HZOOLK5","created_at":"2026-07-05T11:44:01Z"},{"alias_kind":"pith_short_8","alias_value":"OBUNMRTY","created_at":"2026-07-05T11:44:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:OBUNMRTY6HZOOLK5DL5WJNT7GA","target":"record","payload":{"canonical_record":{"source":{"id":"2503.00098","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-02-28T19:00:00Z","cross_cats_sorted":["astro-ph.HE","nucl-th"],"title_canon_sha256":"88660a454e9117628662248037caffc4980ca4abc955a095c592dc9296cd3f58","abstract_canon_sha256":"9d2d27aa3ea245c28bc7581ef89bbb0a8a2537e6fdf05c1ec1f2743485f39d19"},"schema_version":"1.0"},"canonical_sha256":"7068d64678f1f2e72d5d1afb64b67f30280b40a7944732e46dcaaeb4cad0ddff","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:44:01.758217Z","signature_b64":"Ip0/S16nh2a/CVCnWIrfbY8sOrRk1mrRASjQNlHwhfkZkR5Zy6qWOD14PSK6RaDNhuPA0csgLW724oCjWY7eDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7068d64678f1f2e72d5d1afb64b67f30280b40a7944732e46dcaaeb4cad0ddff","last_reissued_at":"2026-07-05T11:44:01.757746Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:44:01.757746Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2503.00098","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:44:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OyKfBAKbQ9Fsc+RLZu/sKdUgDJeHdRdqplhVaoTZKyouEP829B0PsCK46sVE5kS5wUuT9KTTx29d/GsMZtTyDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T23:24:47.581399Z"},"content_sha256":"023d4e8b3c86e7ca537a1fe2f94989688d3a3d410c296285b9fdcc70f9b2856d","schema_version":"1.0","event_id":"sha256:023d4e8b3c86e7ca537a1fe2f94989688d3a3d410c296285b9fdcc70f9b2856d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:OBUNMRTY6HZOOLK5DL5WJNT7GA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Assessment of universal relations among second-order moments of relativistic stars via reformulated perturbation equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE","nucl-th"],"primary_cat":"gr-qc","authors_text":"Koutarou Kyutoku","submitted_at":"2025-02-28T19:00:00Z","abstract_excerpt":"We assess the universal relations among second-order moments of relativistic stars, namely the moment of inertia, tidal deformability, and spin-induced quadrupole moment, via reformulated perturbation equations. After constructing the spherical background configuration by solving two ordinary differential equations as usual, these three moments are obtained by solving four additional ordinary differential equations. They are solved numerically from the stellar center to the surface, and we do not need to derive homogeneous solutions for obtaining the quadrupole moment. This small number of ord"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.00098","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2503.00098/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":"2026-07-05T11:44:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RYH33b6zTsGJpDMLv6FpLFHdJASFoXhZwmCCHsj0BTyXxkTOz7X44/YceplLww28OzPcdDgoRkK8ALhAIwMcCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T23:24:47.582060Z"},"content_sha256":"f2d9684ea19bfba07432b14d03ebe95e0089c9b570d36f604062876207d46965","schema_version":"1.0","event_id":"sha256:f2d9684ea19bfba07432b14d03ebe95e0089c9b570d36f604062876207d46965"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OBUNMRTY6HZOOLK5DL5WJNT7GA/bundle.json","state_url":"https://pith.science/pith/OBUNMRTY6HZOOLK5DL5WJNT7GA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OBUNMRTY6HZOOLK5DL5WJNT7GA/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":"2026-08-16T23:24:47Z","links":{"resolver":"https://pith.science/pith/OBUNMRTY6HZOOLK5DL5WJNT7GA","bundle":"https://pith.science/pith/OBUNMRTY6HZOOLK5DL5WJNT7GA/bundle.json","state":"https://pith.science/pith/OBUNMRTY6HZOOLK5DL5WJNT7GA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OBUNMRTY6HZOOLK5DL5WJNT7GA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:OBUNMRTY6HZOOLK5DL5WJNT7GA","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":"9d2d27aa3ea245c28bc7581ef89bbb0a8a2537e6fdf05c1ec1f2743485f39d19","cross_cats_sorted":["astro-ph.HE","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-02-28T19:00:00Z","title_canon_sha256":"88660a454e9117628662248037caffc4980ca4abc955a095c592dc9296cd3f58"},"schema_version":"1.0","source":{"id":"2503.00098","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.00098","created_at":"2026-07-05T11:44:01Z"},{"alias_kind":"arxiv_version","alias_value":"2503.00098v2","created_at":"2026-07-05T11:44:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.00098","created_at":"2026-07-05T11:44:01Z"},{"alias_kind":"pith_short_12","alias_value":"OBUNMRTY6HZO","created_at":"2026-07-05T11:44:01Z"},{"alias_kind":"pith_short_16","alias_value":"OBUNMRTY6HZOOLK5","created_at":"2026-07-05T11:44:01Z"},{"alias_kind":"pith_short_8","alias_value":"OBUNMRTY","created_at":"2026-07-05T11:44:01Z"}],"graph_snapshots":[{"event_id":"sha256:f2d9684ea19bfba07432b14d03ebe95e0089c9b570d36f604062876207d46965","target":"graph","created_at":"2026-07-05T11:44:01Z","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/2503.00098/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We assess the universal relations among second-order moments of relativistic stars, namely the moment of inertia, tidal deformability, and spin-induced quadrupole moment, via reformulated perturbation equations. After constructing the spherical background configuration by solving two ordinary differential equations as usual, these three moments are obtained by solving four additional ordinary differential equations. They are solved numerically from the stellar center to the surface, and we do not need to derive homogeneous solutions for obtaining the quadrupole moment. This small number of ord","authors_text":"Koutarou Kyutoku","cross_cats":["astro-ph.HE","nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-02-28T19:00:00Z","title":"Assessment of universal relations among second-order moments of relativistic stars via reformulated perturbation equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.00098","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":"sha256:023d4e8b3c86e7ca537a1fe2f94989688d3a3d410c296285b9fdcc70f9b2856d","target":"record","created_at":"2026-07-05T11:44:01Z","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":"9d2d27aa3ea245c28bc7581ef89bbb0a8a2537e6fdf05c1ec1f2743485f39d19","cross_cats_sorted":["astro-ph.HE","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-02-28T19:00:00Z","title_canon_sha256":"88660a454e9117628662248037caffc4980ca4abc955a095c592dc9296cd3f58"},"schema_version":"1.0","source":{"id":"2503.00098","kind":"arxiv","version":2}},"canonical_sha256":"7068d64678f1f2e72d5d1afb64b67f30280b40a7944732e46dcaaeb4cad0ddff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7068d64678f1f2e72d5d1afb64b67f30280b40a7944732e46dcaaeb4cad0ddff","first_computed_at":"2026-07-05T11:44:01.757746Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:44:01.757746Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ip0/S16nh2a/CVCnWIrfbY8sOrRk1mrRASjQNlHwhfkZkR5Zy6qWOD14PSK6RaDNhuPA0csgLW724oCjWY7eDg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:44:01.758217Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.00098","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:023d4e8b3c86e7ca537a1fe2f94989688d3a3d410c296285b9fdcc70f9b2856d","sha256:f2d9684ea19bfba07432b14d03ebe95e0089c9b570d36f604062876207d46965"],"state_sha256":"793f03c4569c8986284456094d502b8ca13ef45915cdb37d389b9626635eed02"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gsFXcQvSZUgsqN5ndbq8G1UiA/bUizqKJhQl4QG1jjd7BRoVsbeDcgJo9L3/1U1VaNtGh7WivpsQCqp2J0RrDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T23:24:47.587941Z","bundle_sha256":"5e50d3296a573be0d5d27c491fc5a2569f25610f7e8cffd160798ca00300ebc2"}}