{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:FIOLACC3AE6REIZJLXMU5CQOXG","short_pith_number":"pith:FIOLACC3","schema_version":"1.0","canonical_sha256":"2a1cb0085b013d1223295dd94e8a0eb9a85704dfa0fb9d79f5a3a7f03038b046","source":{"kind":"arxiv","id":"1708.09369","version":2},"attestation_state":"computed","paper":{"title":"Infinite mixing for one-dimensional maps with an indifferent fixed point","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Claudio Bonanno, Marco Lenci, Paolo Giulietti","submitted_at":"2017-08-30T17:14:57Z","abstract_excerpt":"We study the properties of `infinite-volume mixing' for two classes of intermittent maps: expanding maps $[0,1] \\longrightarrow [0,1]$ with an indifferent fixed point at 0 preserving an infinite, absolutely continuous measure, and expanding maps $\\mathbb{R}^+ \\longrightarrow \\mathbb{R}^+$ with an indifferent fixed point at $+\\infty$ preserving the Lebesgue measure. All maps have full branches. While certain properties are easily adjudicated, the so-called global-local mixing, namely the decorrelation of a global and a local observable, is harder to prove. We do this for two subclasses of syste"},"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":"1708.09369","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-08-30T17:14:57Z","cross_cats_sorted":[],"title_canon_sha256":"c322d0a40cb36f11e576fa32d0b1534ee09abf527f4fed63aeff07dbbe29e288","abstract_canon_sha256":"6d42b381e0b9c3f776e5c23d628912ea42eef603ee154725298bdca58d88332a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:01:00.336393Z","signature_b64":"TxPJKd1ZwLh+W31cu8/2t8Tvt5ewzCybvncmbd1Drfulf3X1l57TdiKXpXPJA0HFDE9ylVI01m9p1LcfKhHGAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2a1cb0085b013d1223295dd94e8a0eb9a85704dfa0fb9d79f5a3a7f03038b046","last_reissued_at":"2026-05-18T00:01:00.335866Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:01:00.335866Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Infinite mixing for one-dimensional maps with an indifferent fixed point","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Claudio Bonanno, Marco Lenci, Paolo Giulietti","submitted_at":"2017-08-30T17:14:57Z","abstract_excerpt":"We study the properties of `infinite-volume mixing' for two classes of intermittent maps: expanding maps $[0,1] \\longrightarrow [0,1]$ with an indifferent fixed point at 0 preserving an infinite, absolutely continuous measure, and expanding maps $\\mathbb{R}^+ \\longrightarrow \\mathbb{R}^+$ with an indifferent fixed point at $+\\infty$ preserving the Lebesgue measure. All maps have full branches. While certain properties are easily adjudicated, the so-called global-local mixing, namely the decorrelation of a global and a local observable, is harder to prove. We do this for two subclasses of syste"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.09369","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":"1708.09369","created_at":"2026-05-18T00:01:00.335959+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.09369v2","created_at":"2026-05-18T00:01:00.335959+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.09369","created_at":"2026-05-18T00:01:00.335959+00:00"},{"alias_kind":"pith_short_12","alias_value":"FIOLACC3AE6R","created_at":"2026-05-18T12:31:15.632608+00:00"},{"alias_kind":"pith_short_16","alias_value":"FIOLACC3AE6REIZJ","created_at":"2026-05-18T12:31:15.632608+00:00"},{"alias_kind":"pith_short_8","alias_value":"FIOLACC3","created_at":"2026-05-18T12:31:15.632608+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/FIOLACC3AE6REIZJLXMU5CQOXG","json":"https://pith.science/pith/FIOLACC3AE6REIZJLXMU5CQOXG.json","graph_json":"https://pith.science/api/pith-number/FIOLACC3AE6REIZJLXMU5CQOXG/graph.json","events_json":"https://pith.science/api/pith-number/FIOLACC3AE6REIZJLXMU5CQOXG/events.json","paper":"https://pith.science/paper/FIOLACC3"},"agent_actions":{"view_html":"https://pith.science/pith/FIOLACC3AE6REIZJLXMU5CQOXG","download_json":"https://pith.science/pith/FIOLACC3AE6REIZJLXMU5CQOXG.json","view_paper":"https://pith.science/paper/FIOLACC3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.09369&json=true","fetch_graph":"https://pith.science/api/pith-number/FIOLACC3AE6REIZJLXMU5CQOXG/graph.json","fetch_events":"https://pith.science/api/pith-number/FIOLACC3AE6REIZJLXMU5CQOXG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FIOLACC3AE6REIZJLXMU5CQOXG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FIOLACC3AE6REIZJLXMU5CQOXG/action/storage_attestation","attest_author":"https://pith.science/pith/FIOLACC3AE6REIZJLXMU5CQOXG/action/author_attestation","sign_citation":"https://pith.science/pith/FIOLACC3AE6REIZJLXMU5CQOXG/action/citation_signature","submit_replication":"https://pith.science/pith/FIOLACC3AE6REIZJLXMU5CQOXG/action/replication_record"}},"created_at":"2026-05-18T00:01:00.335959+00:00","updated_at":"2026-05-18T00:01:00.335959+00:00"}