{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:H6C4Z76QKOBJAJ65RX43DUMNJI","short_pith_number":"pith:H6C4Z76Q","canonical_record":{"source":{"id":"2007.00214","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-07-01T03:55:13Z","cross_cats_sorted":["astro-ph.HE","hep-th"],"title_canon_sha256":"a3d5fc74bab564ebc9d0b365e393497d7b82aa1cf135ab5032e6d17160bc786f","abstract_canon_sha256":"b90856efa59ca475623cbd410a0571d079c46c032ea5921bf65fac9eb36ae8c8"},"schema_version":"1.0"},"canonical_sha256":"3f85ccffd053829027dd8df9b1d18d4a1b5b92ab80badd029e082dff05fb8a98","source":{"kind":"arxiv","id":"2007.00214","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2007.00214","created_at":"2026-07-05T02:28:17Z"},{"alias_kind":"arxiv_version","alias_value":"2007.00214v2","created_at":"2026-07-05T02:28:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2007.00214","created_at":"2026-07-05T02:28:17Z"},{"alias_kind":"pith_short_12","alias_value":"H6C4Z76QKOBJ","created_at":"2026-07-05T02:28:17Z"},{"alias_kind":"pith_short_16","alias_value":"H6C4Z76QKOBJAJ65","created_at":"2026-07-05T02:28:17Z"},{"alias_kind":"pith_short_8","alias_value":"H6C4Z76Q","created_at":"2026-07-05T02:28:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:H6C4Z76QKOBJAJ65RX43DUMNJI","target":"record","payload":{"canonical_record":{"source":{"id":"2007.00214","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-07-01T03:55:13Z","cross_cats_sorted":["astro-ph.HE","hep-th"],"title_canon_sha256":"a3d5fc74bab564ebc9d0b365e393497d7b82aa1cf135ab5032e6d17160bc786f","abstract_canon_sha256":"b90856efa59ca475623cbd410a0571d079c46c032ea5921bf65fac9eb36ae8c8"},"schema_version":"1.0"},"canonical_sha256":"3f85ccffd053829027dd8df9b1d18d4a1b5b92ab80badd029e082dff05fb8a98","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:28:17.252133Z","signature_b64":"csjewX4fmkTBgfz3mKVSq/sE3MlMN1UaWZUesAFQ8tFloZPcw5jB6eTKUuqOCtLLfSL7NcedW7isoVK6SnhnBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3f85ccffd053829027dd8df9b1d18d4a1b5b92ab80badd029e082dff05fb8a98","last_reissued_at":"2026-07-05T02:28:17.251669Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:28:17.251669Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2007.00214","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":"2026-07-05T02:28:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QbT3kIzuZs2RibPbLh8E/WqKeyROCVP1I4BJuP+X6o4Oo68w5Fi6MMYdu9ZLqdcddP62wv0Lybwa1wY2SbOeAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T04:08:15.964988Z"},"content_sha256":"a1210781647dd30f65f942b1472062a0ab6f7e0968ce2a756a03055637a068aa","schema_version":"1.0","event_id":"sha256:a1210781647dd30f65f942b1472062a0ab6f7e0968ce2a756a03055637a068aa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:H6C4Z76QKOBJAJ65RX43DUMNJI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spinning Black Holes Fall in Love","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE","hep-th"],"primary_cat":"gr-qc","authors_text":"Alexandre Le Tiec, Marc Casals","submitted_at":"2020-07-01T03:55:13Z","abstract_excerpt":"The open question of whether a black hole can become tidally deformed by an external gravitational field has profound implications for fundamental physics, astrophysics and gravitational-wave astronomy. Love tensors characterize the tidal deformability of compact objects such as astrophysical (Kerr) black holes under an external static tidal field. We prove that all Love tensors vanish identically for a Kerr black hole in the nonspinning limit or for an axisymmetric tidal perturbation. In contrast to this result, we show that Love tensors are generically nonzero for a spinning black hole. Spec"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2007.00214","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/2007.00214/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":"2026-07-05T02:28:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"55Enz1diIb6s4pQy2KY6s3Yo+Kjkz2y66rDuKAximSb4q8eZc6QsPlkS0RnNwZQJi+HyG2KjoXZtU4UJdmj5Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T04:08:15.965949Z"},"content_sha256":"122859735b2c8baa885b8186f9d58fe8b5b9658e9bd6ac6a67089a98fb20e300","schema_version":"1.0","event_id":"sha256:122859735b2c8baa885b8186f9d58fe8b5b9658e9bd6ac6a67089a98fb20e300"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H6C4Z76QKOBJAJ65RX43DUMNJI/bundle.json","state_url":"https://pith.science/pith/H6C4Z76QKOBJAJ65RX43DUMNJI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H6C4Z76QKOBJAJ65RX43DUMNJI/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":"2026-08-06T04:08:15Z","links":{"resolver":"https://pith.science/pith/H6C4Z76QKOBJAJ65RX43DUMNJI","bundle":"https://pith.science/pith/H6C4Z76QKOBJAJ65RX43DUMNJI/bundle.json","state":"https://pith.science/pith/H6C4Z76QKOBJAJ65RX43DUMNJI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H6C4Z76QKOBJAJ65RX43DUMNJI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:H6C4Z76QKOBJAJ65RX43DUMNJI","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":"b90856efa59ca475623cbd410a0571d079c46c032ea5921bf65fac9eb36ae8c8","cross_cats_sorted":["astro-ph.HE","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-07-01T03:55:13Z","title_canon_sha256":"a3d5fc74bab564ebc9d0b365e393497d7b82aa1cf135ab5032e6d17160bc786f"},"schema_version":"1.0","source":{"id":"2007.00214","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2007.00214","created_at":"2026-07-05T02:28:17Z"},{"alias_kind":"arxiv_version","alias_value":"2007.00214v2","created_at":"2026-07-05T02:28:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2007.00214","created_at":"2026-07-05T02:28:17Z"},{"alias_kind":"pith_short_12","alias_value":"H6C4Z76QKOBJ","created_at":"2026-07-05T02:28:17Z"},{"alias_kind":"pith_short_16","alias_value":"H6C4Z76QKOBJAJ65","created_at":"2026-07-05T02:28:17Z"},{"alias_kind":"pith_short_8","alias_value":"H6C4Z76Q","created_at":"2026-07-05T02:28:17Z"}],"graph_snapshots":[{"event_id":"sha256:122859735b2c8baa885b8186f9d58fe8b5b9658e9bd6ac6a67089a98fb20e300","target":"graph","created_at":"2026-07-05T02:28:17Z","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/2007.00214/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The open question of whether a black hole can become tidally deformed by an external gravitational field has profound implications for fundamental physics, astrophysics and gravitational-wave astronomy. Love tensors characterize the tidal deformability of compact objects such as astrophysical (Kerr) black holes under an external static tidal field. We prove that all Love tensors vanish identically for a Kerr black hole in the nonspinning limit or for an axisymmetric tidal perturbation. In contrast to this result, we show that Love tensors are generically nonzero for a spinning black hole. Spec","authors_text":"Alexandre Le Tiec, Marc Casals","cross_cats":["astro-ph.HE","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-07-01T03:55:13Z","title":"Spinning Black Holes Fall in Love"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2007.00214","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:a1210781647dd30f65f942b1472062a0ab6f7e0968ce2a756a03055637a068aa","target":"record","created_at":"2026-07-05T02:28:17Z","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":"b90856efa59ca475623cbd410a0571d079c46c032ea5921bf65fac9eb36ae8c8","cross_cats_sorted":["astro-ph.HE","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-07-01T03:55:13Z","title_canon_sha256":"a3d5fc74bab564ebc9d0b365e393497d7b82aa1cf135ab5032e6d17160bc786f"},"schema_version":"1.0","source":{"id":"2007.00214","kind":"arxiv","version":2}},"canonical_sha256":"3f85ccffd053829027dd8df9b1d18d4a1b5b92ab80badd029e082dff05fb8a98","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3f85ccffd053829027dd8df9b1d18d4a1b5b92ab80badd029e082dff05fb8a98","first_computed_at":"2026-07-05T02:28:17.251669Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:28:17.251669Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"csjewX4fmkTBgfz3mKVSq/sE3MlMN1UaWZUesAFQ8tFloZPcw5jB6eTKUuqOCtLLfSL7NcedW7isoVK6SnhnBw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:28:17.252133Z","signed_message":"canonical_sha256_bytes"},"source_id":"2007.00214","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a1210781647dd30f65f942b1472062a0ab6f7e0968ce2a756a03055637a068aa","sha256:122859735b2c8baa885b8186f9d58fe8b5b9658e9bd6ac6a67089a98fb20e300"],"state_sha256":"2f4341e2f95906d33ec98ea4c3588225aea9035b016970531bd69db8e0c29f32"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UvqCdthy6Ogv+8JDJ7rOc5ULhBH1vinTgp6M+0Q79xL/e2K9QEQJY1Ng3cf+Zq/+ICXEwXw3XOOXOSa2rIhyDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T04:08:15.972623Z","bundle_sha256":"bc980257c3421ffb63e0048c6e4b5137c5cbce6550a8e3ae370094a1ea887e60"}}