{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:5RO42TTFCSNRH5NHRUSP76RBFD","short_pith_number":"pith:5RO42TTF","canonical_record":{"source":{"id":"2307.04655","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2023-07-10T15:54:59Z","cross_cats_sorted":[],"title_canon_sha256":"ff70a67187b6e95c4798d5b5f3cea1a38e0dfe753dd483805809755bc639b15d","abstract_canon_sha256":"f81d85a8d5a7d7ab0e11567776cd5ecd8a65fa7000a5c405eba0333966807397"},"schema_version":"1.0"},"canonical_sha256":"ec5dcd4e65149b13f5a78d24fffa2128fef971fe91d0b7e7d9c2129d378a2d17","source":{"kind":"arxiv","id":"2307.04655","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.04655","created_at":"2026-07-05T06:29:15Z"},{"alias_kind":"arxiv_version","alias_value":"2307.04655v1","created_at":"2026-07-05T06:29:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.04655","created_at":"2026-07-05T06:29:15Z"},{"alias_kind":"pith_short_12","alias_value":"5RO42TTFCSNR","created_at":"2026-07-05T06:29:15Z"},{"alias_kind":"pith_short_16","alias_value":"5RO42TTFCSNRH5NH","created_at":"2026-07-05T06:29:15Z"},{"alias_kind":"pith_short_8","alias_value":"5RO42TTF","created_at":"2026-07-05T06:29:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:5RO42TTFCSNRH5NHRUSP76RBFD","target":"record","payload":{"canonical_record":{"source":{"id":"2307.04655","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2023-07-10T15:54:59Z","cross_cats_sorted":[],"title_canon_sha256":"ff70a67187b6e95c4798d5b5f3cea1a38e0dfe753dd483805809755bc639b15d","abstract_canon_sha256":"f81d85a8d5a7d7ab0e11567776cd5ecd8a65fa7000a5c405eba0333966807397"},"schema_version":"1.0"},"canonical_sha256":"ec5dcd4e65149b13f5a78d24fffa2128fef971fe91d0b7e7d9c2129d378a2d17","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:29:15.940780Z","signature_b64":"BrB1zGDybbeKx6X65+In68MKiCjEhOjUpvE0c0xDEKYRooJ8DnB01oGita8qWEWpGyvggGuywAaseNwnmzWRBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ec5dcd4e65149b13f5a78d24fffa2128fef971fe91d0b7e7d9c2129d378a2d17","last_reissued_at":"2026-07-05T06:29:15.940436Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:29:15.940436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2307.04655","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":"2026-07-05T06:29:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"trcsQDchPw1DPFbZwb8Ng2oePg8JkDpstDa5Ju24WhUWp+aU60pP80+Gwhhbq0gUxt1IQDem3HBboyi7ehq9AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T07:29:51.268376Z"},"content_sha256":"fdb1427c9920c5d8c56291ed54852dba70e346b93684e488c18cdff6b313fef5","schema_version":"1.0","event_id":"sha256:fdb1427c9920c5d8c56291ed54852dba70e346b93684e488c18cdff6b313fef5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:5RO42TTFCSNRH5NHRUSP76RBFD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dark Matter in Fractional Gravity II: Tests in Galaxy Clusters","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Andrea Lapi, Balakrishna S. Haridasu, Francesco Benetti, Giovanni Gandolfi, Luigi Danese","submitted_at":"2023-07-10T15:54:59Z","abstract_excerpt":"[abridged] Recently, in Benetti et al. (Astrophys. J. 2023, 949, 65), we suggested that the dark matter (DM) component in galaxies may originate fractional gravity. In such a framework, the DM component exists, but the gravitational potential associated to its density distribution is determined by a modified Poisson equation including fractional derivatives, which are meant to describe nonlocal effects. In Benetti et al., we showed that fractional gravity worked very well for reproducing the kinematics of disk-dominated galaxies, especially dwarfs; there is also preliminary evidence that the s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.04655","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/2307.04655/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":"2026-07-05T06:29:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G/9KW5SeZrzTbvs8fGFsT3n2dKcAdeMC9BMa7yI8VqYVL+LzIr1gtUTL22Zz7fpiPe66ghVrNb6wkA2QkefXCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T07:29:51.268758Z"},"content_sha256":"b23512ef4e5b0863782c7c56914b0bf47f4fed0401d21eaae3dcb020942b3aca","schema_version":"1.0","event_id":"sha256:b23512ef4e5b0863782c7c56914b0bf47f4fed0401d21eaae3dcb020942b3aca"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5RO42TTFCSNRH5NHRUSP76RBFD/bundle.json","state_url":"https://pith.science/pith/5RO42TTFCSNRH5NHRUSP76RBFD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5RO42TTFCSNRH5NHRUSP76RBFD/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":"2026-07-06T07:29:51Z","links":{"resolver":"https://pith.science/pith/5RO42TTFCSNRH5NHRUSP76RBFD","bundle":"https://pith.science/pith/5RO42TTFCSNRH5NHRUSP76RBFD/bundle.json","state":"https://pith.science/pith/5RO42TTFCSNRH5NHRUSP76RBFD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5RO42TTFCSNRH5NHRUSP76RBFD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:5RO42TTFCSNRH5NHRUSP76RBFD","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":"f81d85a8d5a7d7ab0e11567776cd5ecd8a65fa7000a5c405eba0333966807397","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2023-07-10T15:54:59Z","title_canon_sha256":"ff70a67187b6e95c4798d5b5f3cea1a38e0dfe753dd483805809755bc639b15d"},"schema_version":"1.0","source":{"id":"2307.04655","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.04655","created_at":"2026-07-05T06:29:15Z"},{"alias_kind":"arxiv_version","alias_value":"2307.04655v1","created_at":"2026-07-05T06:29:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.04655","created_at":"2026-07-05T06:29:15Z"},{"alias_kind":"pith_short_12","alias_value":"5RO42TTFCSNR","created_at":"2026-07-05T06:29:15Z"},{"alias_kind":"pith_short_16","alias_value":"5RO42TTFCSNRH5NH","created_at":"2026-07-05T06:29:15Z"},{"alias_kind":"pith_short_8","alias_value":"5RO42TTF","created_at":"2026-07-05T06:29:15Z"}],"graph_snapshots":[{"event_id":"sha256:b23512ef4e5b0863782c7c56914b0bf47f4fed0401d21eaae3dcb020942b3aca","target":"graph","created_at":"2026-07-05T06:29:15Z","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/2307.04655/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"[abridged] Recently, in Benetti et al. (Astrophys. J. 2023, 949, 65), we suggested that the dark matter (DM) component in galaxies may originate fractional gravity. In such a framework, the DM component exists, but the gravitational potential associated to its density distribution is determined by a modified Poisson equation including fractional derivatives, which are meant to describe nonlocal effects. In Benetti et al., we showed that fractional gravity worked very well for reproducing the kinematics of disk-dominated galaxies, especially dwarfs; there is also preliminary evidence that the s","authors_text":"Andrea Lapi, Balakrishna S. Haridasu, Francesco Benetti, Giovanni Gandolfi, Luigi Danese","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2023-07-10T15:54:59Z","title":"Dark Matter in Fractional Gravity II: Tests in Galaxy Clusters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.04655","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:fdb1427c9920c5d8c56291ed54852dba70e346b93684e488c18cdff6b313fef5","target":"record","created_at":"2026-07-05T06:29:15Z","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":"f81d85a8d5a7d7ab0e11567776cd5ecd8a65fa7000a5c405eba0333966807397","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2023-07-10T15:54:59Z","title_canon_sha256":"ff70a67187b6e95c4798d5b5f3cea1a38e0dfe753dd483805809755bc639b15d"},"schema_version":"1.0","source":{"id":"2307.04655","kind":"arxiv","version":1}},"canonical_sha256":"ec5dcd4e65149b13f5a78d24fffa2128fef971fe91d0b7e7d9c2129d378a2d17","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ec5dcd4e65149b13f5a78d24fffa2128fef971fe91d0b7e7d9c2129d378a2d17","first_computed_at":"2026-07-05T06:29:15.940436Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:29:15.940436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BrB1zGDybbeKx6X65+In68MKiCjEhOjUpvE0c0xDEKYRooJ8DnB01oGita8qWEWpGyvggGuywAaseNwnmzWRBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:29:15.940780Z","signed_message":"canonical_sha256_bytes"},"source_id":"2307.04655","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fdb1427c9920c5d8c56291ed54852dba70e346b93684e488c18cdff6b313fef5","sha256:b23512ef4e5b0863782c7c56914b0bf47f4fed0401d21eaae3dcb020942b3aca"],"state_sha256":"6d8562ea0a14ea3ae6eeb7c48900f505117d0968123c02056c975b10b6002f8e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G5iPyH4lvPxOj619mciXGXxJHWV5oyH1cASrOndT9naTMQeduyTJ3D9Z4MdO6ZuUL/8dAeuhhlp0D4qatlYXCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T07:29:51.271095Z","bundle_sha256":"26bb7de75236b761ade1bf3eb3c499a09164f576a45fd7cdfc67af1d723e1e3d"}}