{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:PN62KMPTHQWBQKH6U6QQWX7RHU","short_pith_number":"pith:PN62KMPT","schema_version":"1.0","canonical_sha256":"7b7da531f33c2c1828fea7a10b5ff13d1f78d139aff4f3e0cc611b4271a608f2","source":{"kind":"arxiv","id":"1102.0612","version":1},"attestation_state":"computed","paper":{"title":"Dimensional entropies and semi-uniform hyperbolicity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Jerome Buzzi (LM-Orsay)","submitted_at":"2011-02-03T07:53:25Z","abstract_excerpt":"We describe dimensional entropies introduced in a previous work list some of their properties and give some new proofs. These entropies allowed the definition of entropy-expanding maps. We introduce a new notion of entropy-hyperbolicity for diffeomorphisms. We indicate some simple sufficient conditions (some of them new) for these properties. We conclude by some work in progress and more questions."},"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":"1102.0612","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-02-03T07:53:25Z","cross_cats_sorted":[],"title_canon_sha256":"96fc5931b494dcfea7e38ebafcd5c0b0df6652856bd288938a0d06c7ff12dcc8","abstract_canon_sha256":"0d5b64867e69e0c00b58504758792386973366d73571fc7e7724d6c6e0ca2e15"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:30:04.373094Z","signature_b64":"1EjwDyB2FFTZXZC4CkVd1ScgXfzUkf5sdnJWaHGQSxQTJP3IOTTL0+SmxCF6gVVGBxP1U6WURl1YXqCLQty1Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7b7da531f33c2c1828fea7a10b5ff13d1f78d139aff4f3e0cc611b4271a608f2","last_reissued_at":"2026-05-18T04:30:04.372466Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:30:04.372466Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dimensional entropies and semi-uniform hyperbolicity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Jerome Buzzi (LM-Orsay)","submitted_at":"2011-02-03T07:53:25Z","abstract_excerpt":"We describe dimensional entropies introduced in a previous work list some of their properties and give some new proofs. These entropies allowed the definition of entropy-expanding maps. We introduce a new notion of entropy-hyperbolicity for diffeomorphisms. We indicate some simple sufficient conditions (some of them new) for these properties. We conclude by some work in progress and more questions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.0612","kind":"arxiv","version":1},"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":"1102.0612","created_at":"2026-05-18T04:30:04.372553+00:00"},{"alias_kind":"arxiv_version","alias_value":"1102.0612v1","created_at":"2026-05-18T04:30:04.372553+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.0612","created_at":"2026-05-18T04:30:04.372553+00:00"},{"alias_kind":"pith_short_12","alias_value":"PN62KMPTHQWB","created_at":"2026-05-18T12:26:39.201973+00:00"},{"alias_kind":"pith_short_16","alias_value":"PN62KMPTHQWBQKH6","created_at":"2026-05-18T12:26:39.201973+00:00"},{"alias_kind":"pith_short_8","alias_value":"PN62KMPT","created_at":"2026-05-18T12:26:39.201973+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/PN62KMPTHQWBQKH6U6QQWX7RHU","json":"https://pith.science/pith/PN62KMPTHQWBQKH6U6QQWX7RHU.json","graph_json":"https://pith.science/api/pith-number/PN62KMPTHQWBQKH6U6QQWX7RHU/graph.json","events_json":"https://pith.science/api/pith-number/PN62KMPTHQWBQKH6U6QQWX7RHU/events.json","paper":"https://pith.science/paper/PN62KMPT"},"agent_actions":{"view_html":"https://pith.science/pith/PN62KMPTHQWBQKH6U6QQWX7RHU","download_json":"https://pith.science/pith/PN62KMPTHQWBQKH6U6QQWX7RHU.json","view_paper":"https://pith.science/paper/PN62KMPT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1102.0612&json=true","fetch_graph":"https://pith.science/api/pith-number/PN62KMPTHQWBQKH6U6QQWX7RHU/graph.json","fetch_events":"https://pith.science/api/pith-number/PN62KMPTHQWBQKH6U6QQWX7RHU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PN62KMPTHQWBQKH6U6QQWX7RHU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PN62KMPTHQWBQKH6U6QQWX7RHU/action/storage_attestation","attest_author":"https://pith.science/pith/PN62KMPTHQWBQKH6U6QQWX7RHU/action/author_attestation","sign_citation":"https://pith.science/pith/PN62KMPTHQWBQKH6U6QQWX7RHU/action/citation_signature","submit_replication":"https://pith.science/pith/PN62KMPTHQWBQKH6U6QQWX7RHU/action/replication_record"}},"created_at":"2026-05-18T04:30:04.372553+00:00","updated_at":"2026-05-18T04:30:04.372553+00:00"}