{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:UHDR5BEDN6XGTXD4IH5EUOOASG","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":"6d163a1b4e2b0f5521a7996266852d19678bd3d62e2df136020922a0811a53c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-04-29T08:05:17Z","title_canon_sha256":"c084e50ce2ec1292118a498cb6886a26aa2eda21e6c514931d7bbf6afb813caf"},"schema_version":"1.0","source":{"id":"2404.18489","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.18489","created_at":"2026-07-05T11:58:18Z"},{"alias_kind":"arxiv_version","alias_value":"2404.18489v2","created_at":"2026-07-05T11:58:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.18489","created_at":"2026-07-05T11:58:18Z"},{"alias_kind":"pith_short_12","alias_value":"UHDR5BEDN6XG","created_at":"2026-07-05T11:58:18Z"},{"alias_kind":"pith_short_16","alias_value":"UHDR5BEDN6XGTXD4","created_at":"2026-07-05T11:58:18Z"},{"alias_kind":"pith_short_8","alias_value":"UHDR5BED","created_at":"2026-07-05T11:58:18Z"}],"graph_snapshots":[{"event_id":"sha256:8f9658b0f164feed42ca06493a04f3e8046bf6e13a515d494e202ecf2f6dad62","target":"graph","created_at":"2026-07-05T11:58:18Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2404.18489/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We establish a new spatial Markov property of the Brownian half-plane. According to this property, if one removes a hull centered at a boundary point, the remaining space equipped with an intrinsic metric is still a Brownian half-plane, which is independent of the part that has been removed. This is an analog of the well-known peeling procedure for random planar maps. We also investigate several distributional properties of hulls centered at a boundary point, and we provide a new construction of the Brownian half-plane giving information about distances from a half-boundary.","authors_text":"Armand Riera, Jean-Fran\\c{c}ois Le Gall","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-04-29T08:05:17Z","title":"Peeling the Brownian half-plane"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.18489","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:ea39e314106582a998a6fe60bcb417e087e65943be025f0e7255a82bbccb1e30","target":"record","created_at":"2026-07-05T11:58:18Z","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":"6d163a1b4e2b0f5521a7996266852d19678bd3d62e2df136020922a0811a53c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-04-29T08:05:17Z","title_canon_sha256":"c084e50ce2ec1292118a498cb6886a26aa2eda21e6c514931d7bbf6afb813caf"},"schema_version":"1.0","source":{"id":"2404.18489","kind":"arxiv","version":2}},"canonical_sha256":"a1c71e84836fae69dc7c41fa4a39c0918819e01672ccb043ff35e14adbcfd695","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a1c71e84836fae69dc7c41fa4a39c0918819e01672ccb043ff35e14adbcfd695","first_computed_at":"2026-07-05T11:58:18.131978Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:58:18.131978Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7lmJinXucWiIZGmGgPX1lDOq2JtrClSzhA8BCtqqba0sp/3l3mI8BGtFDawd7gFNzUIzo2j7t4uVFmyXairfCw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:58:18.132478Z","signed_message":"canonical_sha256_bytes"},"source_id":"2404.18489","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ea39e314106582a998a6fe60bcb417e087e65943be025f0e7255a82bbccb1e30","sha256:8f9658b0f164feed42ca06493a04f3e8046bf6e13a515d494e202ecf2f6dad62"],"state_sha256":"c5c7e43949f1c295f8025749dbf4d1990ad64cc4ba1c4dbd32bfc2d194f15d0f"}