{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:BQNFLCCZNBG2XVG4DWK4GSESNB","short_pith_number":"pith:BQNFLCCZ","canonical_record":{"source":{"id":"2010.08555","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2020-10-16T18:00:00Z","cross_cats_sorted":["astro-ph.CO","astro-ph.HE"],"title_canon_sha256":"6ddb3773d5f707aaecbfd37d0abfe1d3f1466d4afc0f4c2d5349915995c81677","abstract_canon_sha256":"5a2ef38a72907dad843118cb3e18f9b5ddf135c3fe3a930f5fad64c2aba2629f"},"schema_version":"1.0"},"canonical_sha256":"0c1a558859684dabd4dc1d95c34892687d6ccfc9d18be62a170f2086740a2690","source":{"kind":"arxiv","id":"2010.08555","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.08555","created_at":"2026-07-05T02:12:08Z"},{"alias_kind":"arxiv_version","alias_value":"2010.08555v3","created_at":"2026-07-05T02:12:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.08555","created_at":"2026-07-05T02:12:08Z"},{"alias_kind":"pith_short_12","alias_value":"BQNFLCCZNBG2","created_at":"2026-07-05T02:12:08Z"},{"alias_kind":"pith_short_16","alias_value":"BQNFLCCZNBG2XVG4","created_at":"2026-07-05T02:12:08Z"},{"alias_kind":"pith_short_8","alias_value":"BQNFLCCZ","created_at":"2026-07-05T02:12:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:BQNFLCCZNBG2XVG4DWK4GSESNB","target":"record","payload":{"canonical_record":{"source":{"id":"2010.08555","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2020-10-16T18:00:00Z","cross_cats_sorted":["astro-ph.CO","astro-ph.HE"],"title_canon_sha256":"6ddb3773d5f707aaecbfd37d0abfe1d3f1466d4afc0f4c2d5349915995c81677","abstract_canon_sha256":"5a2ef38a72907dad843118cb3e18f9b5ddf135c3fe3a930f5fad64c2aba2629f"},"schema_version":"1.0"},"canonical_sha256":"0c1a558859684dabd4dc1d95c34892687d6ccfc9d18be62a170f2086740a2690","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:12:08.717989Z","signature_b64":"7jMv3Js60Q102Si9SHwwLfr+RmMOJZu2DmoOD/w/Gdi5DfdR1RAbNx0xt6w7S8l+hVPAmRlW59nHRKthgREWDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0c1a558859684dabd4dc1d95c34892687d6ccfc9d18be62a170f2086740a2690","last_reissued_at":"2026-07-05T02:12:08.717577Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:12:08.717577Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2010.08555","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:12:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5eXXAuWjbhODbSlPBplZFhPId65RenHkFprqc+KQf6pDxMo9diDrjJ/HaI8f23hx17weuXHLExSliIIfYG4MCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T10:00:20.993418Z"},"content_sha256":"3661218b2b1e3e65f208766093a3930ababec1f50980e5bad1d1e686450a6ce7","schema_version":"1.0","event_id":"sha256:3661218b2b1e3e65f208766093a3930ababec1f50980e5bad1d1e686450a6ce7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:BQNFLCCZNBG2XVG4DWK4GSESNB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dynamical evolution of massive perturbers in realistic multi-component galaxy models I: implementation and validation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","astro-ph.HE"],"primary_cat":"astro-ph.GA","authors_text":"Alessandro Lupi, Elisa Bortolas, Massimo Dotti, Matteo Bonetti","submitted_at":"2020-10-16T18:00:00Z","abstract_excerpt":"Galaxies are self-gravitating structures composed by several components encompassing spherical, axial and triaxial symmetry. Although real systems feature heterogeneous components whose properties are intimately connected, semi-analytical approaches often exploit the linearity of the Poisson's equation to represent the potential and mass distribution of a multi-component galaxy as the sum of the individual components. In this work, we expand the semi-analytical framework developed in Bonetti et al. (2020) by including both a detailed implementation of the gravitational potential of exponential"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.08555","kind":"arxiv","version":3},"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/2010.08555/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":"2026-07-05T02:12:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B2/mr3wqazlmBLuzEtK9AhQECuu40pdfozq/2tgqZm2+y/uz/E1PG6g29vQoAw2LOq+Dkp8OvrBTv6P1G1NTDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T10:00:20.993795Z"},"content_sha256":"8b57eb8f1bf369b8f73f9fd242f597548200e40344082b95fc93cfb5635928a3","schema_version":"1.0","event_id":"sha256:8b57eb8f1bf369b8f73f9fd242f597548200e40344082b95fc93cfb5635928a3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BQNFLCCZNBG2XVG4DWK4GSESNB/bundle.json","state_url":"https://pith.science/pith/BQNFLCCZNBG2XVG4DWK4GSESNB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BQNFLCCZNBG2XVG4DWK4GSESNB/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":"2026-07-06T10:00:20Z","links":{"resolver":"https://pith.science/pith/BQNFLCCZNBG2XVG4DWK4GSESNB","bundle":"https://pith.science/pith/BQNFLCCZNBG2XVG4DWK4GSESNB/bundle.json","state":"https://pith.science/pith/BQNFLCCZNBG2XVG4DWK4GSESNB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BQNFLCCZNBG2XVG4DWK4GSESNB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:BQNFLCCZNBG2XVG4DWK4GSESNB","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":"5a2ef38a72907dad843118cb3e18f9b5ddf135c3fe3a930f5fad64c2aba2629f","cross_cats_sorted":["astro-ph.CO","astro-ph.HE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2020-10-16T18:00:00Z","title_canon_sha256":"6ddb3773d5f707aaecbfd37d0abfe1d3f1466d4afc0f4c2d5349915995c81677"},"schema_version":"1.0","source":{"id":"2010.08555","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.08555","created_at":"2026-07-05T02:12:08Z"},{"alias_kind":"arxiv_version","alias_value":"2010.08555v3","created_at":"2026-07-05T02:12:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.08555","created_at":"2026-07-05T02:12:08Z"},{"alias_kind":"pith_short_12","alias_value":"BQNFLCCZNBG2","created_at":"2026-07-05T02:12:08Z"},{"alias_kind":"pith_short_16","alias_value":"BQNFLCCZNBG2XVG4","created_at":"2026-07-05T02:12:08Z"},{"alias_kind":"pith_short_8","alias_value":"BQNFLCCZ","created_at":"2026-07-05T02:12:08Z"}],"graph_snapshots":[{"event_id":"sha256:8b57eb8f1bf369b8f73f9fd242f597548200e40344082b95fc93cfb5635928a3","target":"graph","created_at":"2026-07-05T02:12:08Z","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/2010.08555/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Galaxies are self-gravitating structures composed by several components encompassing spherical, axial and triaxial symmetry. Although real systems feature heterogeneous components whose properties are intimately connected, semi-analytical approaches often exploit the linearity of the Poisson's equation to represent the potential and mass distribution of a multi-component galaxy as the sum of the individual components. In this work, we expand the semi-analytical framework developed in Bonetti et al. (2020) by including both a detailed implementation of the gravitational potential of exponential","authors_text":"Alessandro Lupi, Elisa Bortolas, Massimo Dotti, Matteo Bonetti","cross_cats":["astro-ph.CO","astro-ph.HE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2020-10-16T18:00:00Z","title":"Dynamical evolution of massive perturbers in realistic multi-component galaxy models I: implementation and validation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.08555","kind":"arxiv","version":3},"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":"sha256:3661218b2b1e3e65f208766093a3930ababec1f50980e5bad1d1e686450a6ce7","target":"record","created_at":"2026-07-05T02:12:08Z","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":"5a2ef38a72907dad843118cb3e18f9b5ddf135c3fe3a930f5fad64c2aba2629f","cross_cats_sorted":["astro-ph.CO","astro-ph.HE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2020-10-16T18:00:00Z","title_canon_sha256":"6ddb3773d5f707aaecbfd37d0abfe1d3f1466d4afc0f4c2d5349915995c81677"},"schema_version":"1.0","source":{"id":"2010.08555","kind":"arxiv","version":3}},"canonical_sha256":"0c1a558859684dabd4dc1d95c34892687d6ccfc9d18be62a170f2086740a2690","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0c1a558859684dabd4dc1d95c34892687d6ccfc9d18be62a170f2086740a2690","first_computed_at":"2026-07-05T02:12:08.717577Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:12:08.717577Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7jMv3Js60Q102Si9SHwwLfr+RmMOJZu2DmoOD/w/Gdi5DfdR1RAbNx0xt6w7S8l+hVPAmRlW59nHRKthgREWDA==","signature_status":"signed_v1","signed_at":"2026-07-05T02:12:08.717989Z","signed_message":"canonical_sha256_bytes"},"source_id":"2010.08555","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3661218b2b1e3e65f208766093a3930ababec1f50980e5bad1d1e686450a6ce7","sha256:8b57eb8f1bf369b8f73f9fd242f597548200e40344082b95fc93cfb5635928a3"],"state_sha256":"c26834d5409c7d8f7377a0e497ddfe50417935be51614b82714b97d76e1c3ad4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v6U9qDcwgVaPBtkPS3YE7TqW+mYwFavLysPJ7Cu09H9J6/MaSnJNw+8AZjWF04+1Ohl7ZGk3qBCNNRx4k0AvDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T10:00:20.995789Z","bundle_sha256":"d70ac1346c7f428e6b9ae1789e6b3531e0ea0ccfb7c5348dc09b24c6f8147fa8"}}