{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:FG6KFPHN67ZYMCUWVKK6QLZCZK","short_pith_number":"pith:FG6KFPHN","schema_version":"1.0","canonical_sha256":"29bca2bcedf7f3860a96aa95e82f22cab3e38818253a10764b70012e4540012e","source":{"kind":"arxiv","id":"1305.3153","version":1},"attestation_state":"computed","paper":{"title":"Dimensional reduction in the sky","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Giovanni Amelino-Camelia, Giulia Gubitosi, Joao Magueijo, Michele Arzano","submitted_at":"2013-05-14T13:33:07Z","abstract_excerpt":"We explore the cosmological implications of a mechanism found in several approaches to quantum-gravity, whereby the spectral dimension of spacetime runs from the standard value of 4 in the infrared (IR) to a smaller value in the ultraviolet (UV). Specifically, we invoke the picture where the phenomenon is associated with modified dispersion relations. With minimal assumptions, we find that UV behaviour leading to 2 spectral dimensions results in an exactly scale-invariant spectrum of vacuum scalar and tensor fluctuations, regardless of the equation of state. The fluctuation production mechanis"},"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":"1305.3153","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-14T13:33:07Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"e20fc144f5bd6bc913c8019c26b78d4b7c8cbdb306eb09fc2d7991146468cced","abstract_canon_sha256":"4ed916aaf0b5500bd4d82e04069e8a7ac6044dc0edee01059f0446be34d3f8b1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:50:02.259673Z","signature_b64":"0/SfFnaZhXT0GuQsmbkqOIWrD3pu6/DH6IUA6TBNMYjg0pHRZHjh8MyJotMLzyiLvOsNwAtK8F/0zm9v0BaXAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"29bca2bcedf7f3860a96aa95e82f22cab3e38818253a10764b70012e4540012e","last_reissued_at":"2026-05-18T01:50:02.259083Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:50:02.259083Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dimensional reduction in the sky","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Giovanni Amelino-Camelia, Giulia Gubitosi, Joao Magueijo, Michele Arzano","submitted_at":"2013-05-14T13:33:07Z","abstract_excerpt":"We explore the cosmological implications of a mechanism found in several approaches to quantum-gravity, whereby the spectral dimension of spacetime runs from the standard value of 4 in the infrared (IR) to a smaller value in the ultraviolet (UV). Specifically, we invoke the picture where the phenomenon is associated with modified dispersion relations. With minimal assumptions, we find that UV behaviour leading to 2 spectral dimensions results in an exactly scale-invariant spectrum of vacuum scalar and tensor fluctuations, regardless of the equation of state. The fluctuation production mechanis"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.3153","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":""},"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":"1305.3153","created_at":"2026-05-18T01:50:02.259149+00:00"},{"alias_kind":"arxiv_version","alias_value":"1305.3153v1","created_at":"2026-05-18T01:50:02.259149+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.3153","created_at":"2026-05-18T01:50:02.259149+00:00"},{"alias_kind":"pith_short_12","alias_value":"FG6KFPHN67ZY","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_16","alias_value":"FG6KFPHN67ZYMCUW","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_8","alias_value":"FG6KFPHN","created_at":"2026-05-18T12:27:45.050594+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/FG6KFPHN67ZYMCUWVKK6QLZCZK","json":"https://pith.science/pith/FG6KFPHN67ZYMCUWVKK6QLZCZK.json","graph_json":"https://pith.science/api/pith-number/FG6KFPHN67ZYMCUWVKK6QLZCZK/graph.json","events_json":"https://pith.science/api/pith-number/FG6KFPHN67ZYMCUWVKK6QLZCZK/events.json","paper":"https://pith.science/paper/FG6KFPHN"},"agent_actions":{"view_html":"https://pith.science/pith/FG6KFPHN67ZYMCUWVKK6QLZCZK","download_json":"https://pith.science/pith/FG6KFPHN67ZYMCUWVKK6QLZCZK.json","view_paper":"https://pith.science/paper/FG6KFPHN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1305.3153&json=true","fetch_graph":"https://pith.science/api/pith-number/FG6KFPHN67ZYMCUWVKK6QLZCZK/graph.json","fetch_events":"https://pith.science/api/pith-number/FG6KFPHN67ZYMCUWVKK6QLZCZK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FG6KFPHN67ZYMCUWVKK6QLZCZK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FG6KFPHN67ZYMCUWVKK6QLZCZK/action/storage_attestation","attest_author":"https://pith.science/pith/FG6KFPHN67ZYMCUWVKK6QLZCZK/action/author_attestation","sign_citation":"https://pith.science/pith/FG6KFPHN67ZYMCUWVKK6QLZCZK/action/citation_signature","submit_replication":"https://pith.science/pith/FG6KFPHN67ZYMCUWVKK6QLZCZK/action/replication_record"}},"created_at":"2026-05-18T01:50:02.259149+00:00","updated_at":"2026-05-18T01:50:02.259149+00:00"}