{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:5QNFZ74SEY3FJPCKRKYI3FXGG4","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":"ebbb003e734db2d63a573de08b3a5ef51d79501dd615a6cdb25a46e80a122098","cross_cats_sorted":["astro-ph.GA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-11-09T07:03:30Z","title_canon_sha256":"bef5ac15886e1cf61abe03ae418cc302656e2320a7e151632fe70bc53c231911"},"schema_version":"1.0","source":{"id":"2011.04911","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2011.04911","created_at":"2026-07-05T02:17:40Z"},{"alias_kind":"arxiv_version","alias_value":"2011.04911v2","created_at":"2026-07-05T02:17:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2011.04911","created_at":"2026-07-05T02:17:40Z"},{"alias_kind":"pith_short_12","alias_value":"5QNFZ74SEY3F","created_at":"2026-07-05T02:17:40Z"},{"alias_kind":"pith_short_16","alias_value":"5QNFZ74SEY3FJPCK","created_at":"2026-07-05T02:17:40Z"},{"alias_kind":"pith_short_8","alias_value":"5QNFZ74S","created_at":"2026-07-05T02:17:40Z"}],"graph_snapshots":[{"event_id":"sha256:70a3ea5c2086a01b96757b38c45554c1cbfc822d76069a78c4e5bd601f5dee7b","target":"graph","created_at":"2026-07-05T02:17:40Z","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/2011.04911/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We continue our analysis of Newtonian Fractional-Dimension Gravity, an extension of the standard laws of Newtonian gravity to lower dimensional spaces including those with fractional (i.e., non-integer) dimension. We apply our model to three rotationally supported galaxies: NGC 7814 (Bulge-Dominated Spiral), NGC 6503 (Disk-Dominated Spiral), and NGC 3741 (Gas-Dominated Dwarf).\n  As was done in the general cases of spherically-symmetric and axially-symmetric structures, which were studied in previous work on the subject, we examine a possible connection between our model and Modified Newtonian ","authors_text":"Gabriele U. Varieschi","cross_cats":["astro-ph.GA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-11-09T07:03:30Z","title":"Newtonian Fractional-Dimension Gravity and Rotationally Supported Galaxies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2011.04911","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":"sha256:15d6a473c5fe5089b9ae45de03881c2e118eae242158387f0de159193dd292de","target":"record","created_at":"2026-07-05T02:17:40Z","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":"ebbb003e734db2d63a573de08b3a5ef51d79501dd615a6cdb25a46e80a122098","cross_cats_sorted":["astro-ph.GA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-11-09T07:03:30Z","title_canon_sha256":"bef5ac15886e1cf61abe03ae418cc302656e2320a7e151632fe70bc53c231911"},"schema_version":"1.0","source":{"id":"2011.04911","kind":"arxiv","version":2}},"canonical_sha256":"ec1a5cff92263654bc4a8ab08d96e63732effa35d9fb825463495513a7dc443d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ec1a5cff92263654bc4a8ab08d96e63732effa35d9fb825463495513a7dc443d","first_computed_at":"2026-07-05T02:17:40.465541Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:17:40.465541Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lWTIxJL2SFmIe6pgA5w9UhIPhkLJ8CDMCY32k/neAK/tQh8FgENcqYjtNfc4x8L+bgXiU8PgjprAgnIvA6CcAA==","signature_status":"signed_v1","signed_at":"2026-07-05T02:17:40.465953Z","signed_message":"canonical_sha256_bytes"},"source_id":"2011.04911","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:15d6a473c5fe5089b9ae45de03881c2e118eae242158387f0de159193dd292de","sha256:70a3ea5c2086a01b96757b38c45554c1cbfc822d76069a78c4e5bd601f5dee7b"],"state_sha256":"e75f19e309a4159a761fe71ef4549d15cacee3ab934d025df99d587d1011faf8"}