{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:MBYHIRU26KQR7WX5QJCNOB63TD","short_pith_number":"pith:MBYHIRU2","canonical_record":{"source":{"id":"1809.00441","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-09-03T03:39:23Z","cross_cats_sorted":[],"title_canon_sha256":"65ee24fa56b0b29978fdf13fa9d95e2afba2053cfb351b3a24c1c56b1e86fc9a","abstract_canon_sha256":"2d1e4c935f26160e699f79f2773907094d40623ca1d66d01a3177f69ec1a9c5a"},"schema_version":"1.0"},"canonical_sha256":"607074469af2a11fdafd8244d707db98ca5ba070dc964f34dcd838e1d0e94cca","source":{"kind":"arxiv","id":"1809.00441","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.00441","created_at":"2026-05-17T23:55:55Z"},{"alias_kind":"arxiv_version","alias_value":"1809.00441v2","created_at":"2026-05-17T23:55:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.00441","created_at":"2026-05-17T23:55:55Z"},{"alias_kind":"pith_short_12","alias_value":"MBYHIRU26KQR","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"MBYHIRU26KQR7WX5","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"MBYHIRU2","created_at":"2026-05-18T12:32:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:MBYHIRU26KQR7WX5QJCNOB63TD","target":"record","payload":{"canonical_record":{"source":{"id":"1809.00441","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-09-03T03:39:23Z","cross_cats_sorted":[],"title_canon_sha256":"65ee24fa56b0b29978fdf13fa9d95e2afba2053cfb351b3a24c1c56b1e86fc9a","abstract_canon_sha256":"2d1e4c935f26160e699f79f2773907094d40623ca1d66d01a3177f69ec1a9c5a"},"schema_version":"1.0"},"canonical_sha256":"607074469af2a11fdafd8244d707db98ca5ba070dc964f34dcd838e1d0e94cca","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:55:55.327180Z","signature_b64":"Kl0cmAhPBKqFtLr7HSBYWQHKMz2rS5hVTvu8HlUsqwWl6AW0vEBMD0QdSVlK38qVRLkRQb0hyMYaFWZRC8oABw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"607074469af2a11fdafd8244d707db98ca5ba070dc964f34dcd838e1d0e94cca","last_reissued_at":"2026-05-17T23:55:55.326467Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:55:55.326467Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.00441","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:55:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B3z+4NKCb7yv+kUIGhjFRY7KkIkW+YLDqQqKIe+bY+zMtTPgLFYXk/cTh49w/JZL6Q9sXr6Ljpk4GhdT2A4RBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T00:55:02.157418Z"},"content_sha256":"f805723156113ef3f02d8597494a75df887c0b9f1861d613d31c9f8d59f0f164","schema_version":"1.0","event_id":"sha256:f805723156113ef3f02d8597494a75df887c0b9f1861d613d31c9f8d59f0f164"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:MBYHIRU26KQR7WX5QJCNOB63TD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dynamical obstruction to the existence of continuous sub-actions for interval maps with regularly varying property","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Eduardo Garibaldi, Irene Inoquio-Renteria","submitted_at":"2018-09-03T03:39:23Z","abstract_excerpt":"In ergodic optimization theory, the existence of sub-actions is an important tool in the study of the so-called optimizing measures. For transformations with regularly varying property, we highlight a class of moduli of continuity which is not compatible with the existence of continuous sub-actions. Our result relies fundamentally on the local behavior of the dynamics near a fixed point and applies to interval maps that are expanding outside an indifferent fixed point, including Manneville-Pomeau and Farey maps."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.00441","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:55:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XPhY9dvzFuKok9wzV32HbIWrqTin4KgTsFB1ZyexAXthoxaTIVRNHE1nhYpDEmq8zycTZwLv4J5K7YxX29ufDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T00:55:02.157761Z"},"content_sha256":"001255086ce988085f5c5a8e81e02f1f8d5b64c65eb8af3d9c25f92516616e64","schema_version":"1.0","event_id":"sha256:001255086ce988085f5c5a8e81e02f1f8d5b64c65eb8af3d9c25f92516616e64"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MBYHIRU26KQR7WX5QJCNOB63TD/bundle.json","state_url":"https://pith.science/pith/MBYHIRU26KQR7WX5QJCNOB63TD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MBYHIRU26KQR7WX5QJCNOB63TD/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-28T00:55:02Z","links":{"resolver":"https://pith.science/pith/MBYHIRU26KQR7WX5QJCNOB63TD","bundle":"https://pith.science/pith/MBYHIRU26KQR7WX5QJCNOB63TD/bundle.json","state":"https://pith.science/pith/MBYHIRU26KQR7WX5QJCNOB63TD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MBYHIRU26KQR7WX5QJCNOB63TD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:MBYHIRU26KQR7WX5QJCNOB63TD","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":"2d1e4c935f26160e699f79f2773907094d40623ca1d66d01a3177f69ec1a9c5a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-09-03T03:39:23Z","title_canon_sha256":"65ee24fa56b0b29978fdf13fa9d95e2afba2053cfb351b3a24c1c56b1e86fc9a"},"schema_version":"1.0","source":{"id":"1809.00441","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.00441","created_at":"2026-05-17T23:55:55Z"},{"alias_kind":"arxiv_version","alias_value":"1809.00441v2","created_at":"2026-05-17T23:55:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.00441","created_at":"2026-05-17T23:55:55Z"},{"alias_kind":"pith_short_12","alias_value":"MBYHIRU26KQR","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"MBYHIRU26KQR7WX5","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"MBYHIRU2","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:001255086ce988085f5c5a8e81e02f1f8d5b64c65eb8af3d9c25f92516616e64","target":"graph","created_at":"2026-05-17T23:55:55Z","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":"In ergodic optimization theory, the existence of sub-actions is an important tool in the study of the so-called optimizing measures. For transformations with regularly varying property, we highlight a class of moduli of continuity which is not compatible with the existence of continuous sub-actions. Our result relies fundamentally on the local behavior of the dynamics near a fixed point and applies to interval maps that are expanding outside an indifferent fixed point, including Manneville-Pomeau and Farey maps.","authors_text":"Eduardo Garibaldi, Irene Inoquio-Renteria","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-09-03T03:39:23Z","title":"Dynamical obstruction to the existence of continuous sub-actions for interval maps with regularly varying property"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.00441","kind":"arxiv","version":2},"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:f805723156113ef3f02d8597494a75df887c0b9f1861d613d31c9f8d59f0f164","target":"record","created_at":"2026-05-17T23:55:55Z","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":"2d1e4c935f26160e699f79f2773907094d40623ca1d66d01a3177f69ec1a9c5a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-09-03T03:39:23Z","title_canon_sha256":"65ee24fa56b0b29978fdf13fa9d95e2afba2053cfb351b3a24c1c56b1e86fc9a"},"schema_version":"1.0","source":{"id":"1809.00441","kind":"arxiv","version":2}},"canonical_sha256":"607074469af2a11fdafd8244d707db98ca5ba070dc964f34dcd838e1d0e94cca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"607074469af2a11fdafd8244d707db98ca5ba070dc964f34dcd838e1d0e94cca","first_computed_at":"2026-05-17T23:55:55.326467Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:55.326467Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Kl0cmAhPBKqFtLr7HSBYWQHKMz2rS5hVTvu8HlUsqwWl6AW0vEBMD0QdSVlK38qVRLkRQb0hyMYaFWZRC8oABw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:55.327180Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.00441","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f805723156113ef3f02d8597494a75df887c0b9f1861d613d31c9f8d59f0f164","sha256:001255086ce988085f5c5a8e81e02f1f8d5b64c65eb8af3d9c25f92516616e64"],"state_sha256":"195b9682a273a0c6b09e35156520d1af3cdf3ad67b9a81a675c3c46c1a4ebda9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QCOr0VaAy0H7/l4zPf4x0xs+hQ1EVq81fDkZ+S1OOmUBO/uaUpFbTwblgDzon167CdWwwfqknVIcRFsBOsf+DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T00:55:02.159720Z","bundle_sha256":"73dfb8bd4264502bd93ab95012340e959a3fcf7abd46ccd7fb18308234a46816"}}