{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:GHGHRB6QQATBRVMW45RVG33IKK","short_pith_number":"pith:GHGHRB6Q","canonical_record":{"source":{"id":"0910.2379","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2009-10-13T12:32:57Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"7ae3ee457e6fb02d46433f8fc1f51d95fa732ee1aa0d00484f74d1fa45142027","abstract_canon_sha256":"2874947d8f8b1fc3f5efbfbe935983317afd8893fbc6e1f7e08a154e03cae46b"},"schema_version":"1.0"},"canonical_sha256":"31cc7887d0802618d596e763536f6852a6e4f852c1bdb5e7074436d179aaebc2","source":{"kind":"arxiv","id":"0910.2379","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.2379","created_at":"2026-05-18T02:34:19Z"},{"alias_kind":"arxiv_version","alias_value":"0910.2379v1","created_at":"2026-05-18T02:34:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.2379","created_at":"2026-05-18T02:34:19Z"},{"alias_kind":"pith_short_12","alias_value":"GHGHRB6QQATB","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"GHGHRB6QQATBRVMW","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"GHGHRB6Q","created_at":"2026-05-18T12:25:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:GHGHRB6QQATBRVMW45RVG33IKK","target":"record","payload":{"canonical_record":{"source":{"id":"0910.2379","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2009-10-13T12:32:57Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"7ae3ee457e6fb02d46433f8fc1f51d95fa732ee1aa0d00484f74d1fa45142027","abstract_canon_sha256":"2874947d8f8b1fc3f5efbfbe935983317afd8893fbc6e1f7e08a154e03cae46b"},"schema_version":"1.0"},"canonical_sha256":"31cc7887d0802618d596e763536f6852a6e4f852c1bdb5e7074436d179aaebc2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:34:19.059262Z","signature_b64":"1alDTgAxxYnbHvFB41xh9J48gKwAqTCrctIvo1eKDMoqg9hdYF+DlOfNURbrGx/YyErUtTgXUYY9cjWI6UueDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"31cc7887d0802618d596e763536f6852a6e4f852c1bdb5e7074436d179aaebc2","last_reissued_at":"2026-05-18T02:34:19.058823Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:34:19.058823Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0910.2379","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":"2026-05-18T02:34:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"APiEQQNn508i7itS9GguRQpGSg4VS9G1GRe0BDVBqGb8EnOgfxDUWWBBgoGbloD3qK+JzQqjSgPqr0iXLVYwAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T20:25:38.339770Z"},"content_sha256":"c4012978f4fe74b26503a7c546dc8dec0b723aa3a8bfed2341af651ea092b57f","schema_version":"1.0","event_id":"sha256:c4012978f4fe74b26503a7c546dc8dec0b723aa3a8bfed2341af651ea092b57f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:GHGHRB6QQATBRVMW45RVG33IKK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ergodic Considerations in the Gravitational Potential of the Milky Way","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"astro-ph.GA","authors_text":"Adi Nusser","submitted_at":"2009-10-13T12:32:57Z","abstract_excerpt":"A method is proposed for constraining the Galactic gravitational potential from high precision observations of the phase space coordinates of a system of relaxed tracers. The method relies on an \"ergodic\" assumption that the observations are representative of the state of the system at any other time. The observed coordinates serve as initial conditions for moving the tracers forward in time in an assumed model for the gravitational field. The validity of the model is assessed by the statistical equivalence between the observations and the distribution of tracers at randomly selected times. Th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.2379","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":""},"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":"2026-05-18T02:34:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hx+or3qEnWka90dZZ6XVomrDQPBYlQDnm++kJziZ1/pdD/lehusvkJXfmILPF7Zdf+Mtv8OvBFTB5GBfKF21DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T20:25:38.340133Z"},"content_sha256":"21988c0c7148da63ae5aea9a4e75acac0598e9f1a0bba6f3940ae8fc45bc0aa7","schema_version":"1.0","event_id":"sha256:21988c0c7148da63ae5aea9a4e75acac0598e9f1a0bba6f3940ae8fc45bc0aa7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GHGHRB6QQATBRVMW45RVG33IKK/bundle.json","state_url":"https://pith.science/pith/GHGHRB6QQATBRVMW45RVG33IKK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GHGHRB6QQATBRVMW45RVG33IKK/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":"2026-06-03T20:25:38Z","links":{"resolver":"https://pith.science/pith/GHGHRB6QQATBRVMW45RVG33IKK","bundle":"https://pith.science/pith/GHGHRB6QQATBRVMW45RVG33IKK/bundle.json","state":"https://pith.science/pith/GHGHRB6QQATBRVMW45RVG33IKK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GHGHRB6QQATBRVMW45RVG33IKK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:GHGHRB6QQATBRVMW45RVG33IKK","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":"2874947d8f8b1fc3f5efbfbe935983317afd8893fbc6e1f7e08a154e03cae46b","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2009-10-13T12:32:57Z","title_canon_sha256":"7ae3ee457e6fb02d46433f8fc1f51d95fa732ee1aa0d00484f74d1fa45142027"},"schema_version":"1.0","source":{"id":"0910.2379","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.2379","created_at":"2026-05-18T02:34:19Z"},{"alias_kind":"arxiv_version","alias_value":"0910.2379v1","created_at":"2026-05-18T02:34:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.2379","created_at":"2026-05-18T02:34:19Z"},{"alias_kind":"pith_short_12","alias_value":"GHGHRB6QQATB","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"GHGHRB6QQATBRVMW","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"GHGHRB6Q","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:21988c0c7148da63ae5aea9a4e75acac0598e9f1a0bba6f3940ae8fc45bc0aa7","target":"graph","created_at":"2026-05-18T02:34:19Z","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":"A method is proposed for constraining the Galactic gravitational potential from high precision observations of the phase space coordinates of a system of relaxed tracers. The method relies on an \"ergodic\" assumption that the observations are representative of the state of the system at any other time. The observed coordinates serve as initial conditions for moving the tracers forward in time in an assumed model for the gravitational field. The validity of the model is assessed by the statistical equivalence between the observations and the distribution of tracers at randomly selected times. Th","authors_text":"Adi Nusser","cross_cats":["astro-ph.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2009-10-13T12:32:57Z","title":"Ergodic Considerations in the Gravitational Potential of the Milky Way"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.2379","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:c4012978f4fe74b26503a7c546dc8dec0b723aa3a8bfed2341af651ea092b57f","target":"record","created_at":"2026-05-18T02:34:19Z","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":"2874947d8f8b1fc3f5efbfbe935983317afd8893fbc6e1f7e08a154e03cae46b","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2009-10-13T12:32:57Z","title_canon_sha256":"7ae3ee457e6fb02d46433f8fc1f51d95fa732ee1aa0d00484f74d1fa45142027"},"schema_version":"1.0","source":{"id":"0910.2379","kind":"arxiv","version":1}},"canonical_sha256":"31cc7887d0802618d596e763536f6852a6e4f852c1bdb5e7074436d179aaebc2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"31cc7887d0802618d596e763536f6852a6e4f852c1bdb5e7074436d179aaebc2","first_computed_at":"2026-05-18T02:34:19.058823Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:34:19.058823Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1alDTgAxxYnbHvFB41xh9J48gKwAqTCrctIvo1eKDMoqg9hdYF+DlOfNURbrGx/YyErUtTgXUYY9cjWI6UueDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:34:19.059262Z","signed_message":"canonical_sha256_bytes"},"source_id":"0910.2379","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c4012978f4fe74b26503a7c546dc8dec0b723aa3a8bfed2341af651ea092b57f","sha256:21988c0c7148da63ae5aea9a4e75acac0598e9f1a0bba6f3940ae8fc45bc0aa7"],"state_sha256":"e8021fb2ef1f7fda367ea308500b15970775e93d2660189f50eabd0842a1c18e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hxr9S5Fn/8OcF136Y/N0/CTUajd1KzCdaH+yg+8lrxbvFdKCaQL9GsLGJ9kCOQbpZY9yAry/b+8Cef+h8RS6AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T20:25:38.342052Z","bundle_sha256":"63b09cb4adcfd5619b7c3412a13abbf16881f9c3a0e97030c10e303310fd97c8"}}