{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:UHDR5BEDN6XGTXD4IH5EUOOASG","short_pith_number":"pith:UHDR5BED","schema_version":"1.0","canonical_sha256":"a1c71e84836fae69dc7c41fa4a39c0918819e01672ccb043ff35e14adbcfd695","source":{"kind":"arxiv","id":"2404.18489","version":2},"attestation_state":"computed","paper":{"title":"Peeling the Brownian half-plane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Armand Riera, Jean-Fran\\c{c}ois Le Gall","submitted_at":"2024-04-29T08:05:17Z","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."},"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":"2404.18489","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-04-29T08:05:17Z","cross_cats_sorted":[],"title_canon_sha256":"c084e50ce2ec1292118a498cb6886a26aa2eda21e6c514931d7bbf6afb813caf","abstract_canon_sha256":"6d163a1b4e2b0f5521a7996266852d19678bd3d62e2df136020922a0811a53c4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:58:18.132478Z","signature_b64":"7lmJinXucWiIZGmGgPX1lDOq2JtrClSzhA8BCtqqba0sp/3l3mI8BGtFDawd7gFNzUIzo2j7t4uVFmyXairfCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a1c71e84836fae69dc7c41fa4a39c0918819e01672ccb043ff35e14adbcfd695","last_reissued_at":"2026-07-05T11:58:18.131978Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:58:18.131978Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Peeling the Brownian half-plane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Armand Riera, Jean-Fran\\c{c}ois Le Gall","submitted_at":"2024-04-29T08:05:17Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.18489","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2404.18489/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2404.18489","created_at":"2026-07-05T11:58:18.132037+00:00"},{"alias_kind":"arxiv_version","alias_value":"2404.18489v2","created_at":"2026-07-05T11:58:18.132037+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.18489","created_at":"2026-07-05T11:58:18.132037+00:00"},{"alias_kind":"pith_short_12","alias_value":"UHDR5BEDN6XG","created_at":"2026-07-05T11:58:18.132037+00:00"},{"alias_kind":"pith_short_16","alias_value":"UHDR5BEDN6XGTXD4","created_at":"2026-07-05T11:58:18.132037+00:00"},{"alias_kind":"pith_short_8","alias_value":"UHDR5BED","created_at":"2026-07-05T11:58:18.132037+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2501.18566","citing_title":"The scaling limit of planar maps with large faces","ref_index":101,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UHDR5BEDN6XGTXD4IH5EUOOASG","json":"https://pith.science/pith/UHDR5BEDN6XGTXD4IH5EUOOASG.json","graph_json":"https://pith.science/api/pith-number/UHDR5BEDN6XGTXD4IH5EUOOASG/graph.json","events_json":"https://pith.science/api/pith-number/UHDR5BEDN6XGTXD4IH5EUOOASG/events.json","paper":"https://pith.science/paper/UHDR5BED"},"agent_actions":{"view_html":"https://pith.science/pith/UHDR5BEDN6XGTXD4IH5EUOOASG","download_json":"https://pith.science/pith/UHDR5BEDN6XGTXD4IH5EUOOASG.json","view_paper":"https://pith.science/paper/UHDR5BED","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2404.18489&json=true","fetch_graph":"https://pith.science/api/pith-number/UHDR5BEDN6XGTXD4IH5EUOOASG/graph.json","fetch_events":"https://pith.science/api/pith-number/UHDR5BEDN6XGTXD4IH5EUOOASG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UHDR5BEDN6XGTXD4IH5EUOOASG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UHDR5BEDN6XGTXD4IH5EUOOASG/action/storage_attestation","attest_author":"https://pith.science/pith/UHDR5BEDN6XGTXD4IH5EUOOASG/action/author_attestation","sign_citation":"https://pith.science/pith/UHDR5BEDN6XGTXD4IH5EUOOASG/action/citation_signature","submit_replication":"https://pith.science/pith/UHDR5BEDN6XGTXD4IH5EUOOASG/action/replication_record"}},"created_at":"2026-07-05T11:58:18.132037+00:00","updated_at":"2026-07-05T11:58:18.132037+00:00"}