{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:VA65BU6MEWIZMW2GM2LYN4IWVK","short_pith_number":"pith:VA65BU6M","canonical_record":{"source":{"id":"2201.08854","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2022-01-21T19:00:01Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"a1c871994be356c86d177fb9675064d440a5e84d8ad9985dd4fca6c5eee62f64","abstract_canon_sha256":"9d71e87b2833ab6b5ef99392684f0af99e99c1a2fcf8a231bfe2b599ee611162"},"schema_version":"1.0"},"canonical_sha256":"a83dd0d3cc2591965b46669786f116aa9aa889f2ed34e47a8961a23e7537bfbf","source":{"kind":"arxiv","id":"2201.08854","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2201.08854","created_at":"2026-07-05T04:18:07Z"},{"alias_kind":"arxiv_version","alias_value":"2201.08854v2","created_at":"2026-07-05T04:18:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2201.08854","created_at":"2026-07-05T04:18:07Z"},{"alias_kind":"pith_short_12","alias_value":"VA65BU6MEWIZ","created_at":"2026-07-05T04:18:07Z"},{"alias_kind":"pith_short_16","alias_value":"VA65BU6MEWIZMW2G","created_at":"2026-07-05T04:18:07Z"},{"alias_kind":"pith_short_8","alias_value":"VA65BU6M","created_at":"2026-07-05T04:18:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:VA65BU6MEWIZMW2GM2LYN4IWVK","target":"record","payload":{"canonical_record":{"source":{"id":"2201.08854","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2022-01-21T19:00:01Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"a1c871994be356c86d177fb9675064d440a5e84d8ad9985dd4fca6c5eee62f64","abstract_canon_sha256":"9d71e87b2833ab6b5ef99392684f0af99e99c1a2fcf8a231bfe2b599ee611162"},"schema_version":"1.0"},"canonical_sha256":"a83dd0d3cc2591965b46669786f116aa9aa889f2ed34e47a8961a23e7537bfbf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:18:07.047133Z","signature_b64":"JVd8ntm8Ze9VSGs3Gd+/U5AEzFs14mYku/HMcP1yfW1V5PcEtqYKAQH3Inrd/Nodtyp8VZyczymkg8un3+cxCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a83dd0d3cc2591965b46669786f116aa9aa889f2ed34e47a8961a23e7537bfbf","last_reissued_at":"2026-07-05T04:18:07.046662Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:18:07.046662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2201.08854","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":"2026-07-05T04:18:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X9cOqfLhbz+tP7J0uDsWYm9JV5PJRoxqF5x68lkXkDJ52hrJBqRBmksYCDMRshnhK5oX7KXR/5HiEEMaTS5FDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T14:45:30.852987Z"},"content_sha256":"8f5be7869f86b1cf9773a3d315aa183b74ec5946b4258b87b0a36969c601db02","schema_version":"1.0","event_id":"sha256:8f5be7869f86b1cf9773a3d315aa183b74ec5946b4258b87b0a36969c601db02"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:VA65BU6MEWIZMW2GM2LYN4IWVK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dynamical friction of black holes in ultralight dark matter","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Rodrigo Vicente, Vitor Cardoso","submitted_at":"2022-01-21T19:00:01Z","abstract_excerpt":"In this work we derive simple closed-form expressions for the dynamical friction acting on black holes moving through ultralight (scalar field) dark matter, covering both non-relativistic and relativistic black hole speeds. Our derivation is based on long known scattering amplitudes in black hole spacetimes, it includes the effect of black hole spin and can be easily extended to vector and tensor light fields. Our results cover and complement recent numerical and previous non-relativistic treatments of dynamical friction in ultralight dark matter."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2201.08854","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/2201.08854/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":"2026-07-05T04:18:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fFnoUD1MvSDg1ECuGe4/FXx4IX5NiqmNvMAzdZSPebZWCU3n0ZvWsy7zxeNcN/UOMvcKXqt3CGbXDqJxJK3JDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T14:45:30.853379Z"},"content_sha256":"a9b0f0f83544f1f4773574f4e1e1dec68b969c9359cf84315deaaf5dd912f884","schema_version":"1.0","event_id":"sha256:a9b0f0f83544f1f4773574f4e1e1dec68b969c9359cf84315deaaf5dd912f884"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VA65BU6MEWIZMW2GM2LYN4IWVK/bundle.json","state_url":"https://pith.science/pith/VA65BU6MEWIZMW2GM2LYN4IWVK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VA65BU6MEWIZMW2GM2LYN4IWVK/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":"2026-08-23T14:45:30Z","links":{"resolver":"https://pith.science/pith/VA65BU6MEWIZMW2GM2LYN4IWVK","bundle":"https://pith.science/pith/VA65BU6MEWIZMW2GM2LYN4IWVK/bundle.json","state":"https://pith.science/pith/VA65BU6MEWIZMW2GM2LYN4IWVK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VA65BU6MEWIZMW2GM2LYN4IWVK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:VA65BU6MEWIZMW2GM2LYN4IWVK","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":"9d71e87b2833ab6b5ef99392684f0af99e99c1a2fcf8a231bfe2b599ee611162","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2022-01-21T19:00:01Z","title_canon_sha256":"a1c871994be356c86d177fb9675064d440a5e84d8ad9985dd4fca6c5eee62f64"},"schema_version":"1.0","source":{"id":"2201.08854","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2201.08854","created_at":"2026-07-05T04:18:07Z"},{"alias_kind":"arxiv_version","alias_value":"2201.08854v2","created_at":"2026-07-05T04:18:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2201.08854","created_at":"2026-07-05T04:18:07Z"},{"alias_kind":"pith_short_12","alias_value":"VA65BU6MEWIZ","created_at":"2026-07-05T04:18:07Z"},{"alias_kind":"pith_short_16","alias_value":"VA65BU6MEWIZMW2G","created_at":"2026-07-05T04:18:07Z"},{"alias_kind":"pith_short_8","alias_value":"VA65BU6M","created_at":"2026-07-05T04:18:07Z"}],"graph_snapshots":[{"event_id":"sha256:a9b0f0f83544f1f4773574f4e1e1dec68b969c9359cf84315deaaf5dd912f884","target":"graph","created_at":"2026-07-05T04:18:07Z","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/2201.08854/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work we derive simple closed-form expressions for the dynamical friction acting on black holes moving through ultralight (scalar field) dark matter, covering both non-relativistic and relativistic black hole speeds. Our derivation is based on long known scattering amplitudes in black hole spacetimes, it includes the effect of black hole spin and can be easily extended to vector and tensor light fields. Our results cover and complement recent numerical and previous non-relativistic treatments of dynamical friction in ultralight dark matter.","authors_text":"Rodrigo Vicente, Vitor Cardoso","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2022-01-21T19:00:01Z","title":"Dynamical friction of black holes in ultralight dark matter"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2201.08854","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":"sha256:8f5be7869f86b1cf9773a3d315aa183b74ec5946b4258b87b0a36969c601db02","target":"record","created_at":"2026-07-05T04:18:07Z","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":"9d71e87b2833ab6b5ef99392684f0af99e99c1a2fcf8a231bfe2b599ee611162","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2022-01-21T19:00:01Z","title_canon_sha256":"a1c871994be356c86d177fb9675064d440a5e84d8ad9985dd4fca6c5eee62f64"},"schema_version":"1.0","source":{"id":"2201.08854","kind":"arxiv","version":2}},"canonical_sha256":"a83dd0d3cc2591965b46669786f116aa9aa889f2ed34e47a8961a23e7537bfbf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a83dd0d3cc2591965b46669786f116aa9aa889f2ed34e47a8961a23e7537bfbf","first_computed_at":"2026-07-05T04:18:07.046662Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:18:07.046662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JVd8ntm8Ze9VSGs3Gd+/U5AEzFs14mYku/HMcP1yfW1V5PcEtqYKAQH3Inrd/Nodtyp8VZyczymkg8un3+cxCA==","signature_status":"signed_v1","signed_at":"2026-07-05T04:18:07.047133Z","signed_message":"canonical_sha256_bytes"},"source_id":"2201.08854","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8f5be7869f86b1cf9773a3d315aa183b74ec5946b4258b87b0a36969c601db02","sha256:a9b0f0f83544f1f4773574f4e1e1dec68b969c9359cf84315deaaf5dd912f884"],"state_sha256":"9c1a82fe3897c94fc134cb27e9658477d650079a9f4cbb3ee937458d61bfc61b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tXBtLMlTSWebLwHey2uwhvDMM7yiCHU8F2y43AnKk+B06Ql82OMKi7fR9eNhQUTuZKhfRP8opF/KEbUfQ/XJAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-23T14:45:30.855948Z","bundle_sha256":"43cb6a12c96aaccbfaebd6fe7056feb2a44b3e248391d8d44b88b3e55bc6cdbc"}}