{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:XZLMH5IPB5Z6PG24BSMR5G5XNU","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":"d74b39834aee5f4565000594c677793df9f2c58af30661ffbfb43897087265d2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-09-09T14:47:23Z","title_canon_sha256":"06ce5198da3499f6d032f0beadebbb8034c6154d897d6ed5d945fa68e587305d"},"schema_version":"1.0","source":{"id":"2009.04335","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2009.04335","created_at":"2026-07-05T01:41:33Z"},{"alias_kind":"arxiv_version","alias_value":"2009.04335v2","created_at":"2026-07-05T01:41:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.04335","created_at":"2026-07-05T01:41:33Z"},{"alias_kind":"pith_short_12","alias_value":"XZLMH5IPB5Z6","created_at":"2026-07-05T01:41:33Z"},{"alias_kind":"pith_short_16","alias_value":"XZLMH5IPB5Z6PG24","created_at":"2026-07-05T01:41:33Z"},{"alias_kind":"pith_short_8","alias_value":"XZLMH5IP","created_at":"2026-07-05T01:41:33Z"}],"graph_snapshots":[{"event_id":"sha256:d2ba6f8573b4185646fd8822c085960eda771b2ad888e526a5703cd646241864","target":"graph","created_at":"2026-07-05T01:41:33Z","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/2009.04335/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Fractional Newtonian gravity, based on the fractional generalization of Poisson's equation for Newtonian gravity, is a novel approach to Galactic dynamics aimed at providing an alternative to the dark matter paradigm through a non-local modification of Newton's theory. We provide an in-depth discussion of the gravitational potential for the Kuzmin disk within this new approach. Specifically, we derive an integral and a series representation for the potential, we verify its asymptotic behavior at large scales, and we provide illuminating plots of the resulting equipotential surfaces.","authors_text":"Andrea Giusti, Genevi\\`eve Vachon, Roberto Garrappa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-09-09T14:47:23Z","title":"On the Kuzmin model in fractional Newtonian gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.04335","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":"sha256:7e81d696aaa0ba40981ad911fbb9de657d1a68a54ce85b75c73aedbee0601f5d","target":"record","created_at":"2026-07-05T01:41:33Z","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":"d74b39834aee5f4565000594c677793df9f2c58af30661ffbfb43897087265d2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-09-09T14:47:23Z","title_canon_sha256":"06ce5198da3499f6d032f0beadebbb8034c6154d897d6ed5d945fa68e587305d"},"schema_version":"1.0","source":{"id":"2009.04335","kind":"arxiv","version":2}},"canonical_sha256":"be56c3f50f0f73e79b5c0c991e9bb76d355136d0664bb6b2bdaaec8f63b55a0f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"be56c3f50f0f73e79b5c0c991e9bb76d355136d0664bb6b2bdaaec8f63b55a0f","first_computed_at":"2026-07-05T01:41:33.474215Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:41:33.474215Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YU7ahfoYHD0yBUv/SUdY2Va2koBELoZFchb0cGEWxWj+W6XlYRDW4G42SzhCmTf1LPkz0fEPWZkza63C+muADQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:41:33.474676Z","signed_message":"canonical_sha256_bytes"},"source_id":"2009.04335","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7e81d696aaa0ba40981ad911fbb9de657d1a68a54ce85b75c73aedbee0601f5d","sha256:d2ba6f8573b4185646fd8822c085960eda771b2ad888e526a5703cd646241864"],"state_sha256":"99d673d5a1dd6f0b5b73e1bf5e707fb795757639b9e8907f37026b984ea94c13"}