{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:SJZ43JOPPDVOA6Q3PAPF53ILC6","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"897d57f77f99f37e2829e2bda48c562736b91a5c2f97bda2ccffdc988876e722","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-06-08T16:24:53Z","title_canon_sha256":"7ac7b269563a71b319e3f38da51a912ef32845aa73f9578aba9f51138cb1c095"},"schema_version":"1.0","source":{"id":"1506.02573","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.02573","created_at":"2026-05-18T01:55:50Z"},{"alias_kind":"arxiv_version","alias_value":"1506.02573v1","created_at":"2026-05-18T01:55:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.02573","created_at":"2026-05-18T01:55:50Z"},{"alias_kind":"pith_short_12","alias_value":"SJZ43JOPPDVO","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"SJZ43JOPPDVOA6Q3","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"SJZ43JOP","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:aabf0a673c894f2d5e5cc7ed22d2fbd9e1bb416c0612158abd256f84fe5efe35","target":"graph","created_at":"2026-05-18T01:55:50Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We study the transfer operators for a family $F_r:[0,1] \\to [0,1]$ depending on the parameter $r\\in [0,1]$, which interpolates between the tent map and the Farey map. In particular, considering the action of the transfer operator on a suitable Hilbert space, we can define a family of infinite matrices associated to the operators and study their spectrum by numerical methods.","authors_text":"C. Bonanno, I. Chouari, S. Ben Ammou, S. Isola","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-06-08T16:24:53Z","title":"On the spectrum of the transfer operators of a one-parameter family with intermittency transition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.02573","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:d1744e468add1b332f42c25a5754d70850da264a8221a9c95512b126ecef860d","target":"record","created_at":"2026-05-18T01:55:50Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"897d57f77f99f37e2829e2bda48c562736b91a5c2f97bda2ccffdc988876e722","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-06-08T16:24:53Z","title_canon_sha256":"7ac7b269563a71b319e3f38da51a912ef32845aa73f9578aba9f51138cb1c095"},"schema_version":"1.0","source":{"id":"1506.02573","kind":"arxiv","version":1}},"canonical_sha256":"9273cda5cf78eae07a1b781e5eed0b1780262b57882f8f6cdb0ad6763b1d254c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9273cda5cf78eae07a1b781e5eed0b1780262b57882f8f6cdb0ad6763b1d254c","first_computed_at":"2026-05-18T01:55:50.653880Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:55:50.653880Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Yrifo1G5ZSc+uGcot8Yz7p/LqSc/ihtML4RYUGXjqVMZ2G7GJZxbWMwCJ8q8esqJDDUjCVFlleOqH9ipDKcQAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:55:50.654666Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.02573","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1744e468add1b332f42c25a5754d70850da264a8221a9c95512b126ecef860d","sha256:aabf0a673c894f2d5e5cc7ed22d2fbd9e1bb416c0612158abd256f84fe5efe35"],"state_sha256":"7cd260fc1872cfb49dd9c1f970bde076239dbe1fe88dc0adeb65de6f36a77ec2"}