{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:Q5DHJO5ZNT4756C5AV4LOPZTLH","short_pith_number":"pith:Q5DHJO5Z","schema_version":"1.0","canonical_sha256":"874674bbb96cf9fef85d0578b73f3359e1260b2ca47300708d4fdc254d901d89","source":{"kind":"arxiv","id":"2603.04850","version":2},"attestation_state":"computed","paper":{"title":"STOchastic LAttice Simulation of hybrid inflation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc","hep-ph","hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Tomoaki Murata, Yuichiro Tada","submitted_at":"2026-03-05T06:06:21Z","abstract_excerpt":"We investigate the spatial profile of the curvature perturbation generated in multi-waterfall hybrid inflation models, which are known to produce various topological defects. Using the lattice simulation code STOchastic LAttice Simulation, based on the stochastic formalism of inflation, we analyse six cases by varying the number of waterfall fields $n$ and the functional form of the inflaton potential (``Quadratic'' and ``Cubic'' cases). Our statistical analysis shows that the probability density functions (PDFs) and power spectra are broadly consistent with the so-called stochastic-$\\delta N$"},"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":"2603.04850","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2026-03-05T06:06:21Z","cross_cats_sorted":["gr-qc","hep-ph","hep-th"],"title_canon_sha256":"4dd8fd8a0c78e4780acc702170d6bb0d3440678035080fee93afbfe8393dce3e","abstract_canon_sha256":"41f811d44ca7ad95a32dd96f2fde8e1673492242f3a33623a83a5ff7b7400425"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-04T01:59:28.923065Z","signature_b64":"q5gvpgx4C0yOFURS7srz9tX9XiU01WW57XkEaYmcu3LBjz+QGkIPey1he1RaPi85LuT0pz70DxzOv0zFLR8kCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"874674bbb96cf9fef85d0578b73f3359e1260b2ca47300708d4fdc254d901d89","last_reissued_at":"2026-08-04T01:59:28.921508Z","signature_status":"signed_v1","first_computed_at":"2026-08-04T01:59:28.921508Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"STOchastic LAttice Simulation of hybrid inflation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc","hep-ph","hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Tomoaki Murata, Yuichiro Tada","submitted_at":"2026-03-05T06:06:21Z","abstract_excerpt":"We investigate the spatial profile of the curvature perturbation generated in multi-waterfall hybrid inflation models, which are known to produce various topological defects. Using the lattice simulation code STOchastic LAttice Simulation, based on the stochastic formalism of inflation, we analyse six cases by varying the number of waterfall fields $n$ and the functional form of the inflaton potential (``Quadratic'' and ``Cubic'' cases). Our statistical analysis shows that the probability density functions (PDFs) and power spectra are broadly consistent with the so-called stochastic-$\\delta N$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.04850","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2603.04850/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":"2603.04850","created_at":"2026-08-04T01:59:28.922819+00:00"},{"alias_kind":"arxiv_version","alias_value":"2603.04850v2","created_at":"2026-08-04T01:59:28.922819+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.04850","created_at":"2026-08-04T01:59:28.922819+00:00"},{"alias_kind":"pith_short_12","alias_value":"Q5DHJO5ZNT47","created_at":"2026-08-04T01:59:28.922819+00:00"},{"alias_kind":"pith_short_16","alias_value":"Q5DHJO5ZNT4756C5","created_at":"2026-08-04T01:59:28.922819+00:00"},{"alias_kind":"pith_short_8","alias_value":"Q5DHJO5Z","created_at":"2026-08-04T01:59:28.922819+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":6,"internal_anchor_count":6,"sample":[{"citing_arxiv_id":"2606.07467","citing_title":"Stochastic scalar-tensor inflation and beyond","ref_index":66,"is_internal_anchor":true},{"citing_arxiv_id":"2606.07467","citing_title":"Stochastic scalar-tensor inflation and beyond","ref_index":81,"is_internal_anchor":true},{"citing_arxiv_id":"2604.00978","citing_title":"Nonlinear Lattice Framework for Inflation: Bridging stochastic inflation and the $\\delta{N}$ formalism","ref_index":65,"is_internal_anchor":true},{"citing_arxiv_id":"2604.24133","citing_title":"Quantum algorithm for solving high-dimensional linear stochastic differential equations via amplitude encoding of the noise term","ref_index":26,"is_internal_anchor":true},{"citing_arxiv_id":"2605.00476","citing_title":"A consistent formulation of stochastic inflation I: Non-Markovian effects and issues beyond linear perturbations","ref_index":69,"is_internal_anchor":true},{"citing_arxiv_id":"2604.15219","citing_title":"Nonperturbative stochastic inflation in perturbative dynamical background","ref_index":87,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/Q5DHJO5ZNT4756C5AV4LOPZTLH","json":"https://pith.science/pith/Q5DHJO5ZNT4756C5AV4LOPZTLH.json","graph_json":"https://pith.science/api/pith-number/Q5DHJO5ZNT4756C5AV4LOPZTLH/graph.json","events_json":"https://pith.science/api/pith-number/Q5DHJO5ZNT4756C5AV4LOPZTLH/events.json","paper":"https://pith.science/paper/Q5DHJO5Z"},"agent_actions":{"view_html":"https://pith.science/pith/Q5DHJO5ZNT4756C5AV4LOPZTLH","download_json":"https://pith.science/pith/Q5DHJO5ZNT4756C5AV4LOPZTLH.json","view_paper":"https://pith.science/paper/Q5DHJO5Z","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2603.04850&json=true","fetch_graph":"https://pith.science/api/pith-number/Q5DHJO5ZNT4756C5AV4LOPZTLH/graph.json","fetch_events":"https://pith.science/api/pith-number/Q5DHJO5ZNT4756C5AV4LOPZTLH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Q5DHJO5ZNT4756C5AV4LOPZTLH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Q5DHJO5ZNT4756C5AV4LOPZTLH/action/storage_attestation","attest_author":"https://pith.science/pith/Q5DHJO5ZNT4756C5AV4LOPZTLH/action/author_attestation","sign_citation":"https://pith.science/pith/Q5DHJO5ZNT4756C5AV4LOPZTLH/action/citation_signature","submit_replication":"https://pith.science/pith/Q5DHJO5ZNT4756C5AV4LOPZTLH/action/replication_record"}},"created_at":"2026-08-04T01:59:28.922819+00:00","updated_at":"2026-08-04T01:59:28.922819+00:00"}