{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:S5UGHQCC4DI3TVOSNIJM2TVZEB","short_pith_number":"pith:S5UGHQCC","schema_version":"1.0","canonical_sha256":"976863c042e0d1b9d5d26a12cd4eb9204825474266c31eb28f8fb75c540b9f7c","source":{"kind":"arxiv","id":"1708.01734","version":4},"attestation_state":"computed","paper":{"title":"Statistical nature of infrared dynamics on de Sitter background","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","hep-th"],"primary_cat":"gr-qc","authors_text":"Junsei Tokuda, Takahiro Tanaka","submitted_at":"2017-08-05T08:44:10Z","abstract_excerpt":"In this study, we formulate a systematic way of deriving an effective equation of motion(EoM) for long wavelength modes of a massless scalar field with a general potential $V(\\phi)$ on de Sitter background, and investigate whether or not the effective EoM can be described as a classical stochastic process. Our formulation gives an extension of the usual stochastic formalism to including sub-leading secular growth coming from the nonlinearity of short wavelength modes. Applying our formalism to $\\lambda \\phi^4$ theory, we explicitly derive an effective EoM which correctly recovers the next-to-l"},"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":"1708.01734","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-08-05T08:44:10Z","cross_cats_sorted":["hep-ph","hep-th"],"title_canon_sha256":"ecbe37ce55585d64191376e806d597e4b506851009d06ce309a2184f62dde1cf","abstract_canon_sha256":"cd55bc9f4acd4c701370c7bddf3460275eb0e138d58830e55de7deda6fea5a36"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:44.618259Z","signature_b64":"cEE9opHYKhUGY8XbW3JgDGKYsL0tS50HUXaD0Rtykz7kwPQQYewpNHlBiv++MbenIPhWy0hdRB8mVgFBJ05ECA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"976863c042e0d1b9d5d26a12cd4eb9204825474266c31eb28f8fb75c540b9f7c","last_reissued_at":"2026-05-18T00:22:44.617838Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:44.617838Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Statistical nature of infrared dynamics on de Sitter background","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","hep-th"],"primary_cat":"gr-qc","authors_text":"Junsei Tokuda, Takahiro Tanaka","submitted_at":"2017-08-05T08:44:10Z","abstract_excerpt":"In this study, we formulate a systematic way of deriving an effective equation of motion(EoM) for long wavelength modes of a massless scalar field with a general potential $V(\\phi)$ on de Sitter background, and investigate whether or not the effective EoM can be described as a classical stochastic process. Our formulation gives an extension of the usual stochastic formalism to including sub-leading secular growth coming from the nonlinearity of short wavelength modes. Applying our formalism to $\\lambda \\phi^4$ theory, we explicitly derive an effective EoM which correctly recovers the next-to-l"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.01734","kind":"arxiv","version":4},"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":"1708.01734","created_at":"2026-05-18T00:22:44.617896+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.01734v4","created_at":"2026-05-18T00:22:44.617896+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.01734","created_at":"2026-05-18T00:22:44.617896+00:00"},{"alias_kind":"pith_short_12","alias_value":"S5UGHQCC4DI3","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_16","alias_value":"S5UGHQCC4DI3TVOS","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_8","alias_value":"S5UGHQCC","created_at":"2026-05-18T12:31:43.269735+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.10656","citing_title":"Multifield stochastic inflation: Relevance of number of fields in statistical moments","ref_index":97,"is_internal_anchor":false},{"citing_arxiv_id":"2605.00476","citing_title":"A consistent formulation of stochastic inflation I: Non-Markovian effects and issues beyond linear perturbations","ref_index":23,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/S5UGHQCC4DI3TVOSNIJM2TVZEB","json":"https://pith.science/pith/S5UGHQCC4DI3TVOSNIJM2TVZEB.json","graph_json":"https://pith.science/api/pith-number/S5UGHQCC4DI3TVOSNIJM2TVZEB/graph.json","events_json":"https://pith.science/api/pith-number/S5UGHQCC4DI3TVOSNIJM2TVZEB/events.json","paper":"https://pith.science/paper/S5UGHQCC"},"agent_actions":{"view_html":"https://pith.science/pith/S5UGHQCC4DI3TVOSNIJM2TVZEB","download_json":"https://pith.science/pith/S5UGHQCC4DI3TVOSNIJM2TVZEB.json","view_paper":"https://pith.science/paper/S5UGHQCC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.01734&json=true","fetch_graph":"https://pith.science/api/pith-number/S5UGHQCC4DI3TVOSNIJM2TVZEB/graph.json","fetch_events":"https://pith.science/api/pith-number/S5UGHQCC4DI3TVOSNIJM2TVZEB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/S5UGHQCC4DI3TVOSNIJM2TVZEB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/S5UGHQCC4DI3TVOSNIJM2TVZEB/action/storage_attestation","attest_author":"https://pith.science/pith/S5UGHQCC4DI3TVOSNIJM2TVZEB/action/author_attestation","sign_citation":"https://pith.science/pith/S5UGHQCC4DI3TVOSNIJM2TVZEB/action/citation_signature","submit_replication":"https://pith.science/pith/S5UGHQCC4DI3TVOSNIJM2TVZEB/action/replication_record"}},"created_at":"2026-05-18T00:22:44.617896+00:00","updated_at":"2026-05-18T00:22:44.617896+00:00"}