{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:V2UKYILJRPWHRH54LP4K5KHGHG","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":"cadb187412aad9384becfe76cae0b030c1eadaa597369ccdaa3431245ad015a0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-03-01T14:28:13Z","title_canon_sha256":"d2d643a51113ead74971673b1fa979bcb315167322df381cb23b8042c47dbb09"},"schema_version":"1.0","source":{"id":"1103.0177","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.0177","created_at":"2026-05-18T03:51:47Z"},{"alias_kind":"arxiv_version","alias_value":"1103.0177v1","created_at":"2026-05-18T03:51:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.0177","created_at":"2026-05-18T03:51:47Z"},{"alias_kind":"pith_short_12","alias_value":"V2UKYILJRPWH","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"V2UKYILJRPWHRH54","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"V2UKYILJ","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:dcdd95dbe20f2bd7fe7a8372e690eda13c6cced6b384bc13efcc73e4fb88f0b6","target":"graph","created_at":"2026-05-18T03:51:47Z","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":"Les feuilletages de Hirsch sont des feuilletages par surfaces de vari\\'et\\'es compactes ferm\\'ees de dimension 3, dont la dynamique transverse est celle d'un endomorphisme du cercle de degr\\'e strictement sup\\'erieur \\`a 1. Le but de cette note est de construire, \\`a partir d'une g-mesure associ\\'ee \\`a un tel endomorphisme, une mesure harmonique sur le feuilletage de Hirsch correspondant, au sens de Lucy Garnett. Ceci nous permet de donner des exemples de m\\'etriques riemanniennes sur le fibr\\'e tangent du feuilletage de Hirsch, lisses le long des feuilles et continues transversalement, pour ","authors_text":"Bertrand Deroin, Constantin Vernicos","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-03-01T14:28:13Z","title":"Feuilletage de Hirsch, mesure harmonique, et g-mesure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.0177","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":"sha256:30d77eab623c697444668029616e339aa88780b97d21c5df2f55935c2ebb3d67","target":"record","created_at":"2026-05-18T03:51:47Z","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":"cadb187412aad9384becfe76cae0b030c1eadaa597369ccdaa3431245ad015a0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-03-01T14:28:13Z","title_canon_sha256":"d2d643a51113ead74971673b1fa979bcb315167322df381cb23b8042c47dbb09"},"schema_version":"1.0","source":{"id":"1103.0177","kind":"arxiv","version":1}},"canonical_sha256":"aea8ac21698bec789fbc5bf8aea8e639879d043b47e1e1f13c75ec6ecb313a81","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aea8ac21698bec789fbc5bf8aea8e639879d043b47e1e1f13c75ec6ecb313a81","first_computed_at":"2026-05-18T03:51:47.389588Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:51:47.389588Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"76WKTBmbp2/IHyNaTNGiuI9DyZGIMXQC59qPGsXIi2Fr7gijv1Sc71OH40D36DTCkACIIyQgPCQHE1fkD3/1Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T03:51:47.390366Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.0177","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:30d77eab623c697444668029616e339aa88780b97d21c5df2f55935c2ebb3d67","sha256:dcdd95dbe20f2bd7fe7a8372e690eda13c6cced6b384bc13efcc73e4fb88f0b6"],"state_sha256":"54de9ce0f13255915421019284b4f44327fb56f6a7edfea367a12adb0e0bea26"}