{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:LTAZAMCZR3LBLEK4VQ6W6J6WSJ","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":"0f5e6cfa2842f2278b2c65688fef280807512b8d7152a845d5e5738d09969d86","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-05-28T08:54:23Z","title_canon_sha256":"61d75374f34b4132139a369cf1e29f417d17e3d4889f5c827c00e35d32f9d332"},"schema_version":"1.0","source":{"id":"1505.07600","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.07600","created_at":"2026-05-18T00:55:28Z"},{"alias_kind":"arxiv_version","alias_value":"1505.07600v2","created_at":"2026-05-18T00:55:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.07600","created_at":"2026-05-18T00:55:28Z"},{"alias_kind":"pith_short_12","alias_value":"LTAZAMCZR3LB","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"LTAZAMCZR3LBLEK4","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"LTAZAMCZ","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:b00a209951ec5196c3f479ccba8a04b2c826006180c255704baf7c6610f81d63","target":"graph","created_at":"2026-05-18T00:55:28Z","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":"The scaling limit of large simple outerplanar maps was established by Caraceni using a bijection due to Bonichon, Gavoille and Hanusse. The present paper introduces a new bijection between outerplanar maps and trees decorated with ordered sequences of edge-rooted dissections of polygons. We apply this decomposition in order to provide a new, short proof of the scaling limit that also applies to the general setting of first-passage percolation. We obtain sharp tail-bounds for the diameter and recover the asymptotic enumeration formula for outerplanar maps. Our methods also enable us treat subcl","authors_text":"Benedikt Stufler","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-05-28T08:54:23Z","title":"Scaling limits of random outerplanar maps with independent link-weights"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.07600","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":"sha256:384450b8e5bb51209d811d896f24f5800130f85967c2fe691654614ff7d8e8c5","target":"record","created_at":"2026-05-18T00:55:28Z","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":"0f5e6cfa2842f2278b2c65688fef280807512b8d7152a845d5e5738d09969d86","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-05-28T08:54:23Z","title_canon_sha256":"61d75374f34b4132139a369cf1e29f417d17e3d4889f5c827c00e35d32f9d332"},"schema_version":"1.0","source":{"id":"1505.07600","kind":"arxiv","version":2}},"canonical_sha256":"5cc19030598ed615915cac3d6f27d692661c67c4c0eeed33662457ba7483ca15","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5cc19030598ed615915cac3d6f27d692661c67c4c0eeed33662457ba7483ca15","first_computed_at":"2026-05-18T00:55:28.786021Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:55:28.786021Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fekbS9ytaLrtsdXVnEDCC+oJilM2TIlAXVe9+jtd9YX6uLQSXJxJrxR52phRlFJ/VGsSbpeCR0lSaFsfXoZHCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:55:28.786506Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.07600","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:384450b8e5bb51209d811d896f24f5800130f85967c2fe691654614ff7d8e8c5","sha256:b00a209951ec5196c3f479ccba8a04b2c826006180c255704baf7c6610f81d63"],"state_sha256":"bd8308f20f9dc54af82a359b439e55e08943c0f3800097c815c156c71d100fee"}