{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:EHWNCKLUEQY24O3LTN5E6ULAWZ","short_pith_number":"pith:EHWNCKLU","schema_version":"1.0","canonical_sha256":"21ecd129742431ae3b6b9b7a4f5160b64e99bc33bb9a5926236d686ec357de7a","source":{"kind":"arxiv","id":"2606.22431","version":1},"attestation_state":"computed","paper":{"title":"An Interplay Between Fractional Calculus and Holographic Dark Energy","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Ayush Bidlan","submitted_at":"2026-06-21T10:44:26Z","abstract_excerpt":"This dissertation aims to put forth a systematic construction of a fractional-calculus extension of holographic dark energy (HDE). We show that linking late-time cosmic acceleration to non-local or memory effects encoded in a fractional (Riesz) derivative within black hole thermodynamics produces deviations from standard HDE and can address some challenges of the Hubble cutoff. In particular, a Riesz fractional spatial derivative is introduced into the Hamiltonian constraint of a Schwarzschild black hole in quantum geometrodynamics, leading to a Fractional Wheeler--DeWitt equation whose soluti"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2606.22431","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-06-21T10:44:26Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"68433e627545be7fa557b860208b02273abc3261249ec5ec2a47403edfacf79e","abstract_canon_sha256":"4956169e288c957135d102bd483316b984e12872ff69086f2d36a562f6ea150f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-23T02:13:38.265957Z","signature_b64":"8I6aQlEqbJ7cZ9oEn6zR1hYZFJ6XEVtUXfvfJ/hFYSDECXYMALyZ9TJjEWThVUTgVqYvzOzg3zBvI5HSpyz1DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"21ecd129742431ae3b6b9b7a4f5160b64e99bc33bb9a5926236d686ec357de7a","last_reissued_at":"2026-06-23T02:13:38.265586Z","signature_status":"signed_v1","first_computed_at":"2026-06-23T02:13:38.265586Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An Interplay Between Fractional Calculus and Holographic Dark Energy","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Ayush Bidlan","submitted_at":"2026-06-21T10:44:26Z","abstract_excerpt":"This dissertation aims to put forth a systematic construction of a fractional-calculus extension of holographic dark energy (HDE). We show that linking late-time cosmic acceleration to non-local or memory effects encoded in a fractional (Riesz) derivative within black hole thermodynamics produces deviations from standard HDE and can address some challenges of the Hubble cutoff. In particular, a Riesz fractional spatial derivative is introduced into the Hamiltonian constraint of a Schwarzschild black hole in quantum geometrodynamics, leading to a Fractional Wheeler--DeWitt equation whose soluti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.22431","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/2606.22431/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2606.22431","created_at":"2026-06-23T02:13:38.265654+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.22431v1","created_at":"2026-06-23T02:13:38.265654+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.22431","created_at":"2026-06-23T02:13:38.265654+00:00"},{"alias_kind":"pith_short_12","alias_value":"EHWNCKLUEQY2","created_at":"2026-06-23T02:13:38.265654+00:00"},{"alias_kind":"pith_short_16","alias_value":"EHWNCKLUEQY24O3L","created_at":"2026-06-23T02:13:38.265654+00:00"},{"alias_kind":"pith_short_8","alias_value":"EHWNCKLU","created_at":"2026-06-23T02:13:38.265654+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/EHWNCKLUEQY24O3LTN5E6ULAWZ","json":"https://pith.science/pith/EHWNCKLUEQY24O3LTN5E6ULAWZ.json","graph_json":"https://pith.science/api/pith-number/EHWNCKLUEQY24O3LTN5E6ULAWZ/graph.json","events_json":"https://pith.science/api/pith-number/EHWNCKLUEQY24O3LTN5E6ULAWZ/events.json","paper":"https://pith.science/paper/EHWNCKLU"},"agent_actions":{"view_html":"https://pith.science/pith/EHWNCKLUEQY24O3LTN5E6ULAWZ","download_json":"https://pith.science/pith/EHWNCKLUEQY24O3LTN5E6ULAWZ.json","view_paper":"https://pith.science/paper/EHWNCKLU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.22431&json=true","fetch_graph":"https://pith.science/api/pith-number/EHWNCKLUEQY24O3LTN5E6ULAWZ/graph.json","fetch_events":"https://pith.science/api/pith-number/EHWNCKLUEQY24O3LTN5E6ULAWZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EHWNCKLUEQY24O3LTN5E6ULAWZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EHWNCKLUEQY24O3LTN5E6ULAWZ/action/storage_attestation","attest_author":"https://pith.science/pith/EHWNCKLUEQY24O3LTN5E6ULAWZ/action/author_attestation","sign_citation":"https://pith.science/pith/EHWNCKLUEQY24O3LTN5E6ULAWZ/action/citation_signature","submit_replication":"https://pith.science/pith/EHWNCKLUEQY24O3LTN5E6ULAWZ/action/replication_record"}},"created_at":"2026-06-23T02:13:38.265654+00:00","updated_at":"2026-06-23T02:13:38.265654+00:00"}