{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:BIYNZCQBH7V6EWKVU2MORLITHC","short_pith_number":"pith:BIYNZCQB","schema_version":"1.0","canonical_sha256":"0a30dc8a013febe25955a698e8ad1338af3e8760edf320d7fda6354e940819e7","source":{"kind":"arxiv","id":"2005.03381","version":3},"attestation_state":"computed","paper":{"title":"Equivalence of the Chern-Simons state and the Hartle-Hawking and Vilenkin wave-functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Joao Magueijo","submitted_at":"2020-05-07T11:14:18Z","abstract_excerpt":"We show that the Chern-Simons (CS) state when reduced to mini-superspace is the Fourier dual of the Hartle-Hawking (HH) and Vilenkin (V) wave-functions of the Universe. This is to be expected, given that the former and latter solve the same constraint equation, written in terms of conjugate variables (loosely the expansion factor and the Hubble parameter). A number of subtleties in the mapping, related to the contour of integration of the connection, shed light on the issue of boundary conditions in quantum cosmology. If we insist on a {\\it real} Hubble parameter, then only the HH wave-functio"},"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":"2005.03381","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-05-07T11:14:18Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"10b34da4958e8ef5b4e95aeb5ef645913c5a80966ec17a4fb4969f18a0a6f923","abstract_canon_sha256":"e6b272c4fe6d1405329baa4752ad29c38d90c92b591d21608a7bd7361ade4b24"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:08:48.783702Z","signature_b64":"04tVRCwqWnv0PXso814XttFAITpT1RW1qZZ+qByd3BtbmvBrdCa9C44NP0cF0gUEU+qdK2KHzSEkgD/WlLMEBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0a30dc8a013febe25955a698e8ad1338af3e8760edf320d7fda6354e940819e7","last_reissued_at":"2026-07-05T02:08:48.783263Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:08:48.783263Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Equivalence of the Chern-Simons state and the Hartle-Hawking and Vilenkin wave-functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Joao Magueijo","submitted_at":"2020-05-07T11:14:18Z","abstract_excerpt":"We show that the Chern-Simons (CS) state when reduced to mini-superspace is the Fourier dual of the Hartle-Hawking (HH) and Vilenkin (V) wave-functions of the Universe. This is to be expected, given that the former and latter solve the same constraint equation, written in terms of conjugate variables (loosely the expansion factor and the Hubble parameter). A number of subtleties in the mapping, related to the contour of integration of the connection, shed light on the issue of boundary conditions in quantum cosmology. If we insist on a {\\it real} Hubble parameter, then only the HH wave-functio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2005.03381","kind":"arxiv","version":3},"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/2005.03381/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":"2005.03381","created_at":"2026-07-05T02:08:48.783327+00:00"},{"alias_kind":"arxiv_version","alias_value":"2005.03381v3","created_at":"2026-07-05T02:08:48.783327+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2005.03381","created_at":"2026-07-05T02:08:48.783327+00:00"},{"alias_kind":"pith_short_12","alias_value":"BIYNZCQBH7V6","created_at":"2026-07-05T02:08:48.783327+00:00"},{"alias_kind":"pith_short_16","alias_value":"BIYNZCQBH7V6EWKV","created_at":"2026-07-05T02:08:48.783327+00:00"},{"alias_kind":"pith_short_8","alias_value":"BIYNZCQB","created_at":"2026-07-05T02:08:48.783327+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.17163","citing_title":"Boundary conditions and Hilbert spaces in no-roll quantum cosmology","ref_index":27,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BIYNZCQBH7V6EWKVU2MORLITHC","json":"https://pith.science/pith/BIYNZCQBH7V6EWKVU2MORLITHC.json","graph_json":"https://pith.science/api/pith-number/BIYNZCQBH7V6EWKVU2MORLITHC/graph.json","events_json":"https://pith.science/api/pith-number/BIYNZCQBH7V6EWKVU2MORLITHC/events.json","paper":"https://pith.science/paper/BIYNZCQB"},"agent_actions":{"view_html":"https://pith.science/pith/BIYNZCQBH7V6EWKVU2MORLITHC","download_json":"https://pith.science/pith/BIYNZCQBH7V6EWKVU2MORLITHC.json","view_paper":"https://pith.science/paper/BIYNZCQB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2005.03381&json=true","fetch_graph":"https://pith.science/api/pith-number/BIYNZCQBH7V6EWKVU2MORLITHC/graph.json","fetch_events":"https://pith.science/api/pith-number/BIYNZCQBH7V6EWKVU2MORLITHC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BIYNZCQBH7V6EWKVU2MORLITHC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BIYNZCQBH7V6EWKVU2MORLITHC/action/storage_attestation","attest_author":"https://pith.science/pith/BIYNZCQBH7V6EWKVU2MORLITHC/action/author_attestation","sign_citation":"https://pith.science/pith/BIYNZCQBH7V6EWKVU2MORLITHC/action/citation_signature","submit_replication":"https://pith.science/pith/BIYNZCQBH7V6EWKVU2MORLITHC/action/replication_record"}},"created_at":"2026-07-05T02:08:48.783327+00:00","updated_at":"2026-07-05T02:08:48.783327+00:00"}