{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:OA6PYU7642N7HT7HFATAVMQ6GR","short_pith_number":"pith:OA6PYU76","canonical_record":{"source":{"id":"0909.2223","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-09-11T17:34:55Z","cross_cats_sorted":[],"title_canon_sha256":"a3246d98e4f04e724bccd6607030c366786822f9ea831c79bacf4969fc852ebe","abstract_canon_sha256":"8760cd21e66ce59062e2a453afed041745a727b1a0b3ecfa2bc05bb635976e67"},"schema_version":"1.0"},"canonical_sha256":"703cfc53fee69bf3cfe728260ab21e346c93e431eeab270874514670419fec70","source":{"kind":"arxiv","id":"0909.2223","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0909.2223","created_at":"2026-05-18T02:11:48Z"},{"alias_kind":"arxiv_version","alias_value":"0909.2223v2","created_at":"2026-05-18T02:11:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.2223","created_at":"2026-05-18T02:11:48Z"},{"alias_kind":"pith_short_12","alias_value":"OA6PYU7642N7","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"OA6PYU7642N7HT7H","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"OA6PYU76","created_at":"2026-05-18T12:26:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:OA6PYU7642N7HT7HFATAVMQ6GR","target":"record","payload":{"canonical_record":{"source":{"id":"0909.2223","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-09-11T17:34:55Z","cross_cats_sorted":[],"title_canon_sha256":"a3246d98e4f04e724bccd6607030c366786822f9ea831c79bacf4969fc852ebe","abstract_canon_sha256":"8760cd21e66ce59062e2a453afed041745a727b1a0b3ecfa2bc05bb635976e67"},"schema_version":"1.0"},"canonical_sha256":"703cfc53fee69bf3cfe728260ab21e346c93e431eeab270874514670419fec70","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:11:48.817606Z","signature_b64":"u4dwFkDD26XGM33qjU4t/SQO6IKpYMZPOcoe5y8SrDVKXjpB1XSmIiCjT6Rly/FPn3JZieQcBP788ka3kvoSCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"703cfc53fee69bf3cfe728260ab21e346c93e431eeab270874514670419fec70","last_reissued_at":"2026-05-18T02:11:48.816884Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:11:48.816884Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0909.2223","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":"2026-05-18T02:11:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KnE0TVf0D/xpLQS7HuMSNxEbNcCd/fLImqs6p4XIXQi5Hxd3R45ztcMSfeIjFMZPesOvdLlqwja3QkfW3oecCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T14:36:56.894696Z"},"content_sha256":"2fa6915c0d06a8fae00782c0aefde6120375c945fb3cb1f86525145132f85844","schema_version":"1.0","event_id":"sha256:2fa6915c0d06a8fae00782c0aefde6120375c945fb3cb1f86525145132f85844"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:OA6PYU7642N7HT7HFATAVMQ6GR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gravity with extra dimensions and dark matter interpretation: Phenomenological example via Miyamoto-Nagai galaxy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"C. H. Coimbra-Araujo, P. S. Letelier","submitted_at":"2009-09-11T17:34:55Z","abstract_excerpt":"A configuration whose density profile coincides with the Newtonian potential for spiral galaxies is constructed from a 4D isotropic metric plus extra dimensional components. A Miyamoto-Nagai ansatz is used to solve Einstein equations. The stable rotation curves of such system are computed and, without fitting techniques, we recover with accuracy the observational data for flat or not asymptotically flat galaxy rotation curves. The density profiles are reconstructed and compared to that obtained from the Newtonian potential."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.2223","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":""},"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":"2026-05-18T02:11:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g9/xiTH9T+xjyhQO6RvzeL4Lst5SBFxxEaiYaBgpRiyefIK1SPspxheQQuhtsuc2/ooMvedIE2mxJa0eIK1hCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T14:36:56.895045Z"},"content_sha256":"1e464ea63aa285c93466740c10a275edbe96947682e1fc94a705dc0c5efddbef","schema_version":"1.0","event_id":"sha256:1e464ea63aa285c93466740c10a275edbe96947682e1fc94a705dc0c5efddbef"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OA6PYU7642N7HT7HFATAVMQ6GR/bundle.json","state_url":"https://pith.science/pith/OA6PYU7642N7HT7HFATAVMQ6GR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OA6PYU7642N7HT7HFATAVMQ6GR/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":"2026-06-23T14:36:56Z","links":{"resolver":"https://pith.science/pith/OA6PYU7642N7HT7HFATAVMQ6GR","bundle":"https://pith.science/pith/OA6PYU7642N7HT7HFATAVMQ6GR/bundle.json","state":"https://pith.science/pith/OA6PYU7642N7HT7HFATAVMQ6GR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OA6PYU7642N7HT7HFATAVMQ6GR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:OA6PYU7642N7HT7HFATAVMQ6GR","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":"8760cd21e66ce59062e2a453afed041745a727b1a0b3ecfa2bc05bb635976e67","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-09-11T17:34:55Z","title_canon_sha256":"a3246d98e4f04e724bccd6607030c366786822f9ea831c79bacf4969fc852ebe"},"schema_version":"1.0","source":{"id":"0909.2223","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0909.2223","created_at":"2026-05-18T02:11:48Z"},{"alias_kind":"arxiv_version","alias_value":"0909.2223v2","created_at":"2026-05-18T02:11:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.2223","created_at":"2026-05-18T02:11:48Z"},{"alias_kind":"pith_short_12","alias_value":"OA6PYU7642N7","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"OA6PYU7642N7HT7H","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"OA6PYU76","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:1e464ea63aa285c93466740c10a275edbe96947682e1fc94a705dc0c5efddbef","target":"graph","created_at":"2026-05-18T02:11:48Z","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 configuration whose density profile coincides with the Newtonian potential for spiral galaxies is constructed from a 4D isotropic metric plus extra dimensional components. A Miyamoto-Nagai ansatz is used to solve Einstein equations. The stable rotation curves of such system are computed and, without fitting techniques, we recover with accuracy the observational data for flat or not asymptotically flat galaxy rotation curves. The density profiles are reconstructed and compared to that obtained from the Newtonian potential.","authors_text":"C. H. Coimbra-Araujo, P. S. Letelier","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-09-11T17:34:55Z","title":"Gravity with extra dimensions and dark matter interpretation: Phenomenological example via Miyamoto-Nagai galaxy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.2223","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":"sha256:2fa6915c0d06a8fae00782c0aefde6120375c945fb3cb1f86525145132f85844","target":"record","created_at":"2026-05-18T02:11:48Z","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":"8760cd21e66ce59062e2a453afed041745a727b1a0b3ecfa2bc05bb635976e67","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-09-11T17:34:55Z","title_canon_sha256":"a3246d98e4f04e724bccd6607030c366786822f9ea831c79bacf4969fc852ebe"},"schema_version":"1.0","source":{"id":"0909.2223","kind":"arxiv","version":2}},"canonical_sha256":"703cfc53fee69bf3cfe728260ab21e346c93e431eeab270874514670419fec70","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"703cfc53fee69bf3cfe728260ab21e346c93e431eeab270874514670419fec70","first_computed_at":"2026-05-18T02:11:48.816884Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:11:48.816884Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"u4dwFkDD26XGM33qjU4t/SQO6IKpYMZPOcoe5y8SrDVKXjpB1XSmIiCjT6Rly/FPn3JZieQcBP788ka3kvoSCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:11:48.817606Z","signed_message":"canonical_sha256_bytes"},"source_id":"0909.2223","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2fa6915c0d06a8fae00782c0aefde6120375c945fb3cb1f86525145132f85844","sha256:1e464ea63aa285c93466740c10a275edbe96947682e1fc94a705dc0c5efddbef"],"state_sha256":"fdc9e7948dac30bd455aaa9a937fd27faec4f456ce211c6654978d7636307ffb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8i62iZ8Ngw/id1f/lEvXEh13ywL0Inp4o7d3AO8u+v0BDeDyem5WKuzajliifEilqbxNOdVK4GZ24o8srnCLCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T14:36:56.896986Z","bundle_sha256":"8244a6ee379982d2bb21a87ebee108259bfb68a747f02240cfbdf3cd0557d82c"}}