{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:RWJGCYQCZY2GJIODJYNVIDFNA2","short_pith_number":"pith:RWJGCYQC","canonical_record":{"source":{"id":"2009.07870","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2020-09-16T18:01:59Z","cross_cats_sorted":["astro-ph.IM"],"title_canon_sha256":"07d931fc8fdc6e5e9fa876081ef1724bbbff3afa04dd6b959f3bd716086a9a3b","abstract_canon_sha256":"8901bbd79547143a428fa061e946974afc0efd8aac850dacd211fc8aa23f6ff3"},"schema_version":"1.0"},"canonical_sha256":"8d92616202ce3464a1c34e1b540cad06b0fba41b3108c2e338ecea878763ff2d","source":{"kind":"arxiv","id":"2009.07870","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2009.07870","created_at":"2026-07-05T02:01:31Z"},{"alias_kind":"arxiv_version","alias_value":"2009.07870v1","created_at":"2026-07-05T02:01:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.07870","created_at":"2026-07-05T02:01:31Z"},{"alias_kind":"pith_short_12","alias_value":"RWJGCYQCZY2G","created_at":"2026-07-05T02:01:31Z"},{"alias_kind":"pith_short_16","alias_value":"RWJGCYQCZY2GJIOD","created_at":"2026-07-05T02:01:31Z"},{"alias_kind":"pith_short_8","alias_value":"RWJGCYQC","created_at":"2026-07-05T02:01:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:RWJGCYQCZY2GJIODJYNVIDFNA2","target":"record","payload":{"canonical_record":{"source":{"id":"2009.07870","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2020-09-16T18:01:59Z","cross_cats_sorted":["astro-ph.IM"],"title_canon_sha256":"07d931fc8fdc6e5e9fa876081ef1724bbbff3afa04dd6b959f3bd716086a9a3b","abstract_canon_sha256":"8901bbd79547143a428fa061e946974afc0efd8aac850dacd211fc8aa23f6ff3"},"schema_version":"1.0"},"canonical_sha256":"8d92616202ce3464a1c34e1b540cad06b0fba41b3108c2e338ecea878763ff2d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:01:31.561456Z","signature_b64":"20hOLTe1RlyNXjLos6Nchc4fa2PXXaZV93vMqehhy3bX+X8QFKW5Sv9EiD0AsjEtDRrNBNKfgiU8o0XQipIdCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8d92616202ce3464a1c34e1b540cad06b0fba41b3108c2e338ecea878763ff2d","last_reissued_at":"2026-07-05T02:01:31.560963Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:01:31.560963Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2009.07870","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:01:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"86B3fqbBwg9klY67Pw0ihMekdbhcFnRghTILvWFe6XwlmkUvdyvOjvHkmLmHkZxv8zABzLybn/h5T7F3++L/AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T04:15:56.473074Z"},"content_sha256":"c50700d957a17e859f3a44b90549af0c8b25d05a90c7499911bba27564d3b85b","schema_version":"1.0","event_id":"sha256:c50700d957a17e859f3a44b90549af0c8b25d05a90c7499911bba27564d3b85b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:RWJGCYQCZY2GJIODJYNVIDFNA2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Using Multichannel Singular Spectrum Analysis to Study Galaxy Dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.IM"],"primary_cat":"astro-ph.GA","authors_text":"Martin D. Weinberg, Michael S. Petersen","submitted_at":"2020-09-16T18:01:59Z","abstract_excerpt":"N-body simulations provide most of our insight into the structure and evolution of galaxies, but our analyses of these are often heuristic and from simple statistics. We propose a method that discovers the dynamics in space and time together by finding the most correlated temporal signals in multiple time series of basis function expansion coefficients and any other data fields of interest. The method extracts the dominant trends in the spatial variation of the gravitational field along with any additional data fields through time. The mathematics of this method is known as multichannel singul"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.07870","kind":"arxiv","version":1},"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/2009.07870/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":"2026-07-05T02:01:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nWWYv40cmREpncgFXzIikyOBjuZMsPe4mPIlPM/xAh4WrYyDRNKUhTa0+013c/EAmlTaqsT2HFp0Ef6t9pLTDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T04:15:56.473963Z"},"content_sha256":"6e0ecc97d284e9277ac7cc6368a4a352e0fa1cdfa7d199d6c92f7b43d80d4e33","schema_version":"1.0","event_id":"sha256:6e0ecc97d284e9277ac7cc6368a4a352e0fa1cdfa7d199d6c92f7b43d80d4e33"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RWJGCYQCZY2GJIODJYNVIDFNA2/bundle.json","state_url":"https://pith.science/pith/RWJGCYQCZY2GJIODJYNVIDFNA2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RWJGCYQCZY2GJIODJYNVIDFNA2/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":"2026-08-04T04:15:56Z","links":{"resolver":"https://pith.science/pith/RWJGCYQCZY2GJIODJYNVIDFNA2","bundle":"https://pith.science/pith/RWJGCYQCZY2GJIODJYNVIDFNA2/bundle.json","state":"https://pith.science/pith/RWJGCYQCZY2GJIODJYNVIDFNA2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RWJGCYQCZY2GJIODJYNVIDFNA2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:RWJGCYQCZY2GJIODJYNVIDFNA2","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":"8901bbd79547143a428fa061e946974afc0efd8aac850dacd211fc8aa23f6ff3","cross_cats_sorted":["astro-ph.IM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2020-09-16T18:01:59Z","title_canon_sha256":"07d931fc8fdc6e5e9fa876081ef1724bbbff3afa04dd6b959f3bd716086a9a3b"},"schema_version":"1.0","source":{"id":"2009.07870","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2009.07870","created_at":"2026-07-05T02:01:31Z"},{"alias_kind":"arxiv_version","alias_value":"2009.07870v1","created_at":"2026-07-05T02:01:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.07870","created_at":"2026-07-05T02:01:31Z"},{"alias_kind":"pith_short_12","alias_value":"RWJGCYQCZY2G","created_at":"2026-07-05T02:01:31Z"},{"alias_kind":"pith_short_16","alias_value":"RWJGCYQCZY2GJIOD","created_at":"2026-07-05T02:01:31Z"},{"alias_kind":"pith_short_8","alias_value":"RWJGCYQC","created_at":"2026-07-05T02:01:31Z"}],"graph_snapshots":[{"event_id":"sha256:6e0ecc97d284e9277ac7cc6368a4a352e0fa1cdfa7d199d6c92f7b43d80d4e33","target":"graph","created_at":"2026-07-05T02:01:31Z","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/2009.07870/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"N-body simulations provide most of our insight into the structure and evolution of galaxies, but our analyses of these are often heuristic and from simple statistics. We propose a method that discovers the dynamics in space and time together by finding the most correlated temporal signals in multiple time series of basis function expansion coefficients and any other data fields of interest. The method extracts the dominant trends in the spatial variation of the gravitational field along with any additional data fields through time. The mathematics of this method is known as multichannel singul","authors_text":"Martin D. Weinberg, Michael S. Petersen","cross_cats":["astro-ph.IM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2020-09-16T18:01:59Z","title":"Using Multichannel Singular Spectrum Analysis to Study Galaxy Dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.07870","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:c50700d957a17e859f3a44b90549af0c8b25d05a90c7499911bba27564d3b85b","target":"record","created_at":"2026-07-05T02:01:31Z","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":"8901bbd79547143a428fa061e946974afc0efd8aac850dacd211fc8aa23f6ff3","cross_cats_sorted":["astro-ph.IM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2020-09-16T18:01:59Z","title_canon_sha256":"07d931fc8fdc6e5e9fa876081ef1724bbbff3afa04dd6b959f3bd716086a9a3b"},"schema_version":"1.0","source":{"id":"2009.07870","kind":"arxiv","version":1}},"canonical_sha256":"8d92616202ce3464a1c34e1b540cad06b0fba41b3108c2e338ecea878763ff2d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8d92616202ce3464a1c34e1b540cad06b0fba41b3108c2e338ecea878763ff2d","first_computed_at":"2026-07-05T02:01:31.560963Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:01:31.560963Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"20hOLTe1RlyNXjLos6Nchc4fa2PXXaZV93vMqehhy3bX+X8QFKW5Sv9EiD0AsjEtDRrNBNKfgiU8o0XQipIdCA==","signature_status":"signed_v1","signed_at":"2026-07-05T02:01:31.561456Z","signed_message":"canonical_sha256_bytes"},"source_id":"2009.07870","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c50700d957a17e859f3a44b90549af0c8b25d05a90c7499911bba27564d3b85b","sha256:6e0ecc97d284e9277ac7cc6368a4a352e0fa1cdfa7d199d6c92f7b43d80d4e33"],"state_sha256":"b5f7c3fbc89c389829f13c61365b7d28f8e020f1da2bbfdf8a5ffa4faa87c651"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ONNdYgf78yYjzpsg7XdYIsBdm5g6/Bgw/i0yicqmgOoQMJFabWv+xcCk1Tbts75ctHCYjIXeCSHQEkZCAsTRCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T04:15:56.480751Z","bundle_sha256":"2b140b16f3807392742f460c711004ea840af53e526c2f2d49224f7db89c4409"}}