{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:VPJGHDCR4MNBP27M7QDG62SV5L","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":"0251a4fbe40cf9819e62b9fff39efab6cd3fe7981f071e22da44e8668c534466","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-fin.GN","submitted_at":"2025-08-11T16:20:50Z","title_canon_sha256":"e432204b49ee11eb83762a740f271bc6240f2dcb0723dd3daff1bb3dd354b4d7"},"schema_version":"1.0","source":{"id":"2508.20100","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.20100","created_at":"2026-07-05T12:01:26Z"},{"alias_kind":"arxiv_version","alias_value":"2508.20100v1","created_at":"2026-07-05T12:01:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.20100","created_at":"2026-07-05T12:01:26Z"},{"alias_kind":"pith_short_12","alias_value":"VPJGHDCR4MNB","created_at":"2026-07-05T12:01:26Z"},{"alias_kind":"pith_short_16","alias_value":"VPJGHDCR4MNBP27M","created_at":"2026-07-05T12:01:26Z"},{"alias_kind":"pith_short_8","alias_value":"VPJGHDCR","created_at":"2026-07-05T12:01:26Z"}],"graph_snapshots":[{"event_id":"sha256:1b45ad84cc79be26d55f710d0b63387793159b6ea75807aca28272cc35dc7554","target":"graph","created_at":"2026-07-05T12:01:26Z","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/2508.20100/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Solow-Swan equation is a cornerstone in the development of modern economic growth theory and continues to attract significant scholarly attention. This study incorporates memory effects into the classical Solow-Swan model by introducing a formulation based on the Caputo fractional derivative. A comparative analysis is conducted between the integer-order and fractional-order versions of the model to examine the influence of fractional dynamics on capital accumulation. The findings reveal that the inclusion of a fractional-order derivative significantly affects the trajectory and long-term s","authors_text":"K.J. Duffy, M.O. Aibinu, S. Moyo","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-fin.GN","submitted_at":"2025-08-11T16:20:50Z","title":"A Solow-Swan framework for economic growth with memory effect"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.20100","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":"sha256:40f5f7493b10f4d0628bc473b7f9b0e190f3e9d9e891e8bae8061b2bb68ff091","target":"record","created_at":"2026-07-05T12:01:26Z","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":"0251a4fbe40cf9819e62b9fff39efab6cd3fe7981f071e22da44e8668c534466","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-fin.GN","submitted_at":"2025-08-11T16:20:50Z","title_canon_sha256":"e432204b49ee11eb83762a740f271bc6240f2dcb0723dd3daff1bb3dd354b4d7"},"schema_version":"1.0","source":{"id":"2508.20100","kind":"arxiv","version":1}},"canonical_sha256":"abd2638c51e31a17ebecfc066f6a55eafca72a8b799b6be960b252a4705625ba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"abd2638c51e31a17ebecfc066f6a55eafca72a8b799b6be960b252a4705625ba","first_computed_at":"2026-07-05T12:01:26.661262Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:01:26.661262Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tZeO2gJZoBH66Kkat1qlEIyTH6pcdnjswwNXalN7Mhf5l/+P9Zby719whm5KYsn4Y5kQjbFg4gcTGiIlBg8oCg==","signature_status":"signed_v1","signed_at":"2026-07-05T12:01:26.661906Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.20100","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:40f5f7493b10f4d0628bc473b7f9b0e190f3e9d9e891e8bae8061b2bb68ff091","sha256:1b45ad84cc79be26d55f710d0b63387793159b6ea75807aca28272cc35dc7554"],"state_sha256":"6938185ecbe83f0b58e21262408600d316bec0a4f504380641da542f1ce0c721"}