{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:7GYAAH7S6MWHRK7S65QXAP3PMJ","short_pith_number":"pith:7GYAAH7S","schema_version":"1.0","canonical_sha256":"f9b0001ff2f32c78abf2f761703f6f626a83300bf53f153abe5fc13de82b71ff","source":{"kind":"arxiv","id":"1304.2291","version":2},"attestation_state":"computed","paper":{"title":"Gauge invariant backreaction in general single field models of inflation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-ph","hep-th"],"primary_cat":"gr-qc","authors_text":"Gian Paolo Vacca, Giovanni Marozzi","submitted_at":"2013-04-08T18:17:56Z","abstract_excerpt":"In a general single field inflationary model we consider the effects of long wavelength scalar fluctuations on the effective expansion rate and equation of state seen by a class of free falling observers, using a physical gauge invariant formulation. In a previous work we showed that for a free massive inflaton no backreaction is observed within some constraints. In this paper we extend the validity of our previous results to the case of an arbitrary self-interacting inflation potential, working to second order in cosmological perturbation theory and to all order in slow-roll approximation. Fo"},"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":"1304.2291","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-04-08T18:17:56Z","cross_cats_sorted":["astro-ph.CO","hep-ph","hep-th"],"title_canon_sha256":"c7364ad2364428d146739499f23dd7c80fefd4797a1df800985d93022fd79aaf","abstract_canon_sha256":"b73bd83b2f2254c29a88d55ddeae695e4f8d80fbf18403712ca16c9f6b5aa049"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:16:49.222877Z","signature_b64":"BoUroXaN7xERc1yf9jdKRAXJlCsFj5U96W1O9K/zpxHjb6UEW2v7rJ6tVatJ7A6J+/aHy3Hs2dihrRGlrFzyCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f9b0001ff2f32c78abf2f761703f6f626a83300bf53f153abe5fc13de82b71ff","last_reissued_at":"2026-05-18T03:16:49.222383Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:16:49.222383Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gauge invariant backreaction in general single field models of inflation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-ph","hep-th"],"primary_cat":"gr-qc","authors_text":"Gian Paolo Vacca, Giovanni Marozzi","submitted_at":"2013-04-08T18:17:56Z","abstract_excerpt":"In a general single field inflationary model we consider the effects of long wavelength scalar fluctuations on the effective expansion rate and equation of state seen by a class of free falling observers, using a physical gauge invariant formulation. In a previous work we showed that for a free massive inflaton no backreaction is observed within some constraints. In this paper we extend the validity of our previous results to the case of an arbitrary self-interacting inflation potential, working to second order in cosmological perturbation theory and to all order in slow-roll approximation. Fo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.2291","kind":"arxiv","version":2},"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":"1304.2291","created_at":"2026-05-18T03:16:49.222447+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.2291v2","created_at":"2026-05-18T03:16:49.222447+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.2291","created_at":"2026-05-18T03:16:49.222447+00:00"},{"alias_kind":"pith_short_12","alias_value":"7GYAAH7S6MWH","created_at":"2026-05-18T12:27:36.564083+00:00"},{"alias_kind":"pith_short_16","alias_value":"7GYAAH7S6MWHRK7S","created_at":"2026-05-18T12:27:36.564083+00:00"},{"alias_kind":"pith_short_8","alias_value":"7GYAAH7S","created_at":"2026-05-18T12:27:36.564083+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2608.07264","citing_title":"Tensor-Induced Backreaction in Ultra-Slow-Roll Inflation","ref_index":25,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7GYAAH7S6MWHRK7S65QXAP3PMJ","json":"https://pith.science/pith/7GYAAH7S6MWHRK7S65QXAP3PMJ.json","graph_json":"https://pith.science/api/pith-number/7GYAAH7S6MWHRK7S65QXAP3PMJ/graph.json","events_json":"https://pith.science/api/pith-number/7GYAAH7S6MWHRK7S65QXAP3PMJ/events.json","paper":"https://pith.science/paper/7GYAAH7S"},"agent_actions":{"view_html":"https://pith.science/pith/7GYAAH7S6MWHRK7S65QXAP3PMJ","download_json":"https://pith.science/pith/7GYAAH7S6MWHRK7S65QXAP3PMJ.json","view_paper":"https://pith.science/paper/7GYAAH7S","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.2291&json=true","fetch_graph":"https://pith.science/api/pith-number/7GYAAH7S6MWHRK7S65QXAP3PMJ/graph.json","fetch_events":"https://pith.science/api/pith-number/7GYAAH7S6MWHRK7S65QXAP3PMJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7GYAAH7S6MWHRK7S65QXAP3PMJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7GYAAH7S6MWHRK7S65QXAP3PMJ/action/storage_attestation","attest_author":"https://pith.science/pith/7GYAAH7S6MWHRK7S65QXAP3PMJ/action/author_attestation","sign_citation":"https://pith.science/pith/7GYAAH7S6MWHRK7S65QXAP3PMJ/action/citation_signature","submit_replication":"https://pith.science/pith/7GYAAH7S6MWHRK7S65QXAP3PMJ/action/replication_record"}},"created_at":"2026-05-18T03:16:49.222447+00:00","updated_at":"2026-05-18T03:16:49.222447+00:00"}