{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:MM5DNPLOBO6RNPSSYOPKI3YCQG","short_pith_number":"pith:MM5DNPLO","schema_version":"1.0","canonical_sha256":"633a36bd6e0bbd16be52c39ea46f0281a06ce1a5c2362a9edccecbe0af112b40","source":{"kind":"arxiv","id":"1605.02573","version":1},"attestation_state":"computed","paper":{"title":"Cosmological perturbation theory and quantum gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Katarzyna Rejzner, Klaus Fredenhagen, Nicola Pinamonti, Romeo Brunetti, Thomas-Paul Hack","submitted_at":"2016-05-09T13:08:46Z","abstract_excerpt":"It is shown how cosmological perturbation theory arises from a fully quantized perturbative theory of quantum gravity. Central for the derivation is a non-perturbative concept of gauge-invariant local observables by means of which perturbative invariant expressions of arbitrary order are generated. In particular, in the linearised theory, first order gauge-invariant observables familiar from cosmological perturbation theory are recovered. Explicit expressions of second order quantities are presented as well."},"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":"1605.02573","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-05-09T13:08:46Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"ec9d9d7081550e8acaa4a6ac7a060435bc9a99b095d9f4020d6181df445c8a58","abstract_canon_sha256":"31f4c1296d7657dc507b92e8bd04db1ed7e27a05d9be0be7ca3c9b1e95fe8479"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:09.512726Z","signature_b64":"E8HhWBVCeY2YxA+hctM6H2kJN2IhHGMheHCFYrQ4qkK7Z9gVDn7akX6iHNi0B3SGsnjOySicCIc+XsEJEmdtAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"633a36bd6e0bbd16be52c39ea46f0281a06ce1a5c2362a9edccecbe0af112b40","last_reissued_at":"2026-05-18T01:08:09.512365Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:09.512365Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cosmological perturbation theory and quantum gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Katarzyna Rejzner, Klaus Fredenhagen, Nicola Pinamonti, Romeo Brunetti, Thomas-Paul Hack","submitted_at":"2016-05-09T13:08:46Z","abstract_excerpt":"It is shown how cosmological perturbation theory arises from a fully quantized perturbative theory of quantum gravity. Central for the derivation is a non-perturbative concept of gauge-invariant local observables by means of which perturbative invariant expressions of arbitrary order are generated. In particular, in the linearised theory, first order gauge-invariant observables familiar from cosmological perturbation theory are recovered. Explicit expressions of second order quantities are presented as well."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.02573","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":"1605.02573","created_at":"2026-05-18T01:08:09.512430+00:00"},{"alias_kind":"arxiv_version","alias_value":"1605.02573v1","created_at":"2026-05-18T01:08:09.512430+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.02573","created_at":"2026-05-18T01:08:09.512430+00:00"},{"alias_kind":"pith_short_12","alias_value":"MM5DNPLOBO6R","created_at":"2026-05-18T12:30:32.724797+00:00"},{"alias_kind":"pith_short_16","alias_value":"MM5DNPLOBO6RNPSS","created_at":"2026-05-18T12:30:32.724797+00:00"},{"alias_kind":"pith_short_8","alias_value":"MM5DNPLO","created_at":"2026-05-18T12:30:32.724797+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/MM5DNPLOBO6RNPSSYOPKI3YCQG","json":"https://pith.science/pith/MM5DNPLOBO6RNPSSYOPKI3YCQG.json","graph_json":"https://pith.science/api/pith-number/MM5DNPLOBO6RNPSSYOPKI3YCQG/graph.json","events_json":"https://pith.science/api/pith-number/MM5DNPLOBO6RNPSSYOPKI3YCQG/events.json","paper":"https://pith.science/paper/MM5DNPLO"},"agent_actions":{"view_html":"https://pith.science/pith/MM5DNPLOBO6RNPSSYOPKI3YCQG","download_json":"https://pith.science/pith/MM5DNPLOBO6RNPSSYOPKI3YCQG.json","view_paper":"https://pith.science/paper/MM5DNPLO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1605.02573&json=true","fetch_graph":"https://pith.science/api/pith-number/MM5DNPLOBO6RNPSSYOPKI3YCQG/graph.json","fetch_events":"https://pith.science/api/pith-number/MM5DNPLOBO6RNPSSYOPKI3YCQG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MM5DNPLOBO6RNPSSYOPKI3YCQG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MM5DNPLOBO6RNPSSYOPKI3YCQG/action/storage_attestation","attest_author":"https://pith.science/pith/MM5DNPLOBO6RNPSSYOPKI3YCQG/action/author_attestation","sign_citation":"https://pith.science/pith/MM5DNPLOBO6RNPSSYOPKI3YCQG/action/citation_signature","submit_replication":"https://pith.science/pith/MM5DNPLOBO6RNPSSYOPKI3YCQG/action/replication_record"}},"created_at":"2026-05-18T01:08:09.512430+00:00","updated_at":"2026-05-18T01:08:09.512430+00:00"}