{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:NGFEQP6LDDH2I52HFIZTDOSJLN","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":"7ac8d94a9dac83d4bf5250d9b78060e1ab0988d8bb6af3a4a6f5d354b814830e","cross_cats_sorted":["astro-ph.EP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2019-01-31T18:59:18Z","title_canon_sha256":"c384b3e42e623212dbe5e174c2476c95be3a8a84ffa8e3a05633eafbe65ebfa5"},"schema_version":"1.0","source":{"id":"1901.11536","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.11536","created_at":"2026-05-17T23:54:15Z"},{"alias_kind":"arxiv_version","alias_value":"1901.11536v1","created_at":"2026-05-17T23:54:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.11536","created_at":"2026-05-17T23:54:15Z"},{"alias_kind":"pith_short_12","alias_value":"NGFEQP6LDDH2","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"NGFEQP6LDDH2I52H","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"NGFEQP6L","created_at":"2026-05-18T12:33:24Z"}],"graph_snapshots":[{"event_id":"sha256:71d3e6d4bba66686a81e53c3464af8ef037820086d53a9e981bc4a52cc73ec12","target":"graph","created_at":"2026-05-17T23:54:15Z","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":"Gravitating systems surrounded by a dynamic sea of substructures experience fluctuations of the local tidal field which inject kinetic energy into the internal motions. This paper uses stochastic calculus techniques to describe `tidal heating' as a random walk of orbital velocities that leads to diffusion in a 4-dimensional energy--angular momentum space. In spherical, static potentials we derive analytical solutions for the Green's propagators directly from the number density and velocity distribution of substructures with known mass & size functions without arbitrary cuts in forces or impact","authors_text":"Jorge Pe\\~narrubia","cross_cats":["astro-ph.EP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2019-01-31T18:59:18Z","title":"Stochastic tidal heating by random interactions with extended substructures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.11536","kind":"arxiv","version":1},"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:c2ec6ffe97e05f25ea90103e75d6781e773edf7a3a43d299da23f8a938c2ca6c","target":"record","created_at":"2026-05-17T23:54:15Z","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":"7ac8d94a9dac83d4bf5250d9b78060e1ab0988d8bb6af3a4a6f5d354b814830e","cross_cats_sorted":["astro-ph.EP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2019-01-31T18:59:18Z","title_canon_sha256":"c384b3e42e623212dbe5e174c2476c95be3a8a84ffa8e3a05633eafbe65ebfa5"},"schema_version":"1.0","source":{"id":"1901.11536","kind":"arxiv","version":1}},"canonical_sha256":"698a483fcb18cfa477472a3331ba495b5c97007df73f6aafd2cb5db61ba6a46e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"698a483fcb18cfa477472a3331ba495b5c97007df73f6aafd2cb5db61ba6a46e","first_computed_at":"2026-05-17T23:54:15.040825Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:15.040825Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0o/ESHXAFWAnsCM42mR5kL0XuAp75SmC9gwswj3zfG8M+jVl/2td26KJ1UVPUhQUojorS8VFXlfqQ+erpZh2AQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:15.041294Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.11536","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c2ec6ffe97e05f25ea90103e75d6781e773edf7a3a43d299da23f8a938c2ca6c","sha256:71d3e6d4bba66686a81e53c3464af8ef037820086d53a9e981bc4a52cc73ec12"],"state_sha256":"336d147d3ccdb607ac61da3765ed1cd7cc19690daf904e88139cc1e5e6d98ea0"}