{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:RQJFX2A5BAILIT4YT4NBVVPQO3","short_pith_number":"pith:RQJFX2A5","canonical_record":{"source":{"id":"2309.00599","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2023-09-01T17:35:14Z","cross_cats_sorted":[],"title_canon_sha256":"1bac0710975b15788c98c10a9e7a8827b73ebb05ef6819cda86f64926b9b3bda","abstract_canon_sha256":"e01cfc4b2f4e63a7fdf1a36bc2ed9d8ca5fcbbd0beaba9a1b12d4339cf0993c8"},"schema_version":"1.0"},"canonical_sha256":"8c125be81d0810b44f989f1a1ad5f076dffc4afad32438c44de467e103288423","source":{"kind":"arxiv","id":"2309.00599","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.00599","created_at":"2026-07-05T09:08:20Z"},{"alias_kind":"arxiv_version","alias_value":"2309.00599v2","created_at":"2026-07-05T09:08:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.00599","created_at":"2026-07-05T09:08:20Z"},{"alias_kind":"pith_short_12","alias_value":"RQJFX2A5BAIL","created_at":"2026-07-05T09:08:20Z"},{"alias_kind":"pith_short_16","alias_value":"RQJFX2A5BAILIT4Y","created_at":"2026-07-05T09:08:20Z"},{"alias_kind":"pith_short_8","alias_value":"RQJFX2A5","created_at":"2026-07-05T09:08:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:RQJFX2A5BAILIT4YT4NBVVPQO3","target":"record","payload":{"canonical_record":{"source":{"id":"2309.00599","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2023-09-01T17:35:14Z","cross_cats_sorted":[],"title_canon_sha256":"1bac0710975b15788c98c10a9e7a8827b73ebb05ef6819cda86f64926b9b3bda","abstract_canon_sha256":"e01cfc4b2f4e63a7fdf1a36bc2ed9d8ca5fcbbd0beaba9a1b12d4339cf0993c8"},"schema_version":"1.0"},"canonical_sha256":"8c125be81d0810b44f989f1a1ad5f076dffc4afad32438c44de467e103288423","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:08:20.822280Z","signature_b64":"lfZkKIxxWpHYLbNHsplYJKDddglB8ahK2KZUStDPhMXWnbC0Wj6CQgdBbeOb7F9KrmQUPVTCwx8Qf6+P8LdQDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8c125be81d0810b44f989f1a1ad5f076dffc4afad32438c44de467e103288423","last_reissued_at":"2026-07-05T09:08:20.821780Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:08:20.821780Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2309.00599","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:08:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MIDWeox6LhyPceh1Zyug2AVkwkGryEdPzdKf1IP0q2bSopsZ7Z5uFT+PZLkDWqr3F40cZZ0hGlvQmMmmQZYLBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T01:47:23.348428Z"},"content_sha256":"94b2138b58e76458c653a31c1684d435f02d26a71d46c65191edd80211377e47","schema_version":"1.0","event_id":"sha256:94b2138b58e76458c653a31c1684d435f02d26a71d46c65191edd80211377e47"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:RQJFX2A5BAILIT4YT4NBVVPQO3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Uniqueness and non-uniqueness for the asymptotic Plateau problem in hyperbolic space","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Andrea Seppi, Ben Lowe, Zheng Huang","submitted_at":"2023-09-01T17:35:14Z","abstract_excerpt":"We prove several results on the number of solutions to the asymptotic Plateau problem in $\\mathbb H^3$. Firstly we discuss criteria that ensure uniqueness. Given a Jordan curve $\\Lambda$ in the asymptotic boundary of $\\mathbb H^3$, we show that uniqueness of the minimal surfaces with asymptotic boundary $\\Lambda$ is equivalent to uniqueness in the smaller class of stable minimal disks. Then we show that if a quasicircle (or more generally, a Jordan curve of finite width) $\\Lambda$ is the asymptotic boundary of a minimal surface $\\Sigma$ with principal curvatures less than or equal to 1 in abso"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.00599","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/2309.00599/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:08:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8wIiVVP5K1mLfV9X4+Pv3mltfDAe+tFc7NjtLuxPDpBrFw56bEWKQ76yyb3+90neF+rJQHzHQZHGsfMNNuRCAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T01:47:23.348930Z"},"content_sha256":"d03a8f848925999195f8f9332ee992e2e9c352ee26cd8e3d32f4aeada85ea10c","schema_version":"1.0","event_id":"sha256:d03a8f848925999195f8f9332ee992e2e9c352ee26cd8e3d32f4aeada85ea10c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RQJFX2A5BAILIT4YT4NBVVPQO3/bundle.json","state_url":"https://pith.science/pith/RQJFX2A5BAILIT4YT4NBVVPQO3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RQJFX2A5BAILIT4YT4NBVVPQO3/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-11T01:47:23Z","links":{"resolver":"https://pith.science/pith/RQJFX2A5BAILIT4YT4NBVVPQO3","bundle":"https://pith.science/pith/RQJFX2A5BAILIT4YT4NBVVPQO3/bundle.json","state":"https://pith.science/pith/RQJFX2A5BAILIT4YT4NBVVPQO3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RQJFX2A5BAILIT4YT4NBVVPQO3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:RQJFX2A5BAILIT4YT4NBVVPQO3","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":"e01cfc4b2f4e63a7fdf1a36bc2ed9d8ca5fcbbd0beaba9a1b12d4339cf0993c8","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2023-09-01T17:35:14Z","title_canon_sha256":"1bac0710975b15788c98c10a9e7a8827b73ebb05ef6819cda86f64926b9b3bda"},"schema_version":"1.0","source":{"id":"2309.00599","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.00599","created_at":"2026-07-05T09:08:20Z"},{"alias_kind":"arxiv_version","alias_value":"2309.00599v2","created_at":"2026-07-05T09:08:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.00599","created_at":"2026-07-05T09:08:20Z"},{"alias_kind":"pith_short_12","alias_value":"RQJFX2A5BAIL","created_at":"2026-07-05T09:08:20Z"},{"alias_kind":"pith_short_16","alias_value":"RQJFX2A5BAILIT4Y","created_at":"2026-07-05T09:08:20Z"},{"alias_kind":"pith_short_8","alias_value":"RQJFX2A5","created_at":"2026-07-05T09:08:20Z"}],"graph_snapshots":[{"event_id":"sha256:d03a8f848925999195f8f9332ee992e2e9c352ee26cd8e3d32f4aeada85ea10c","target":"graph","created_at":"2026-07-05T09:08:20Z","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/2309.00599/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove several results on the number of solutions to the asymptotic Plateau problem in $\\mathbb H^3$. Firstly we discuss criteria that ensure uniqueness. Given a Jordan curve $\\Lambda$ in the asymptotic boundary of $\\mathbb H^3$, we show that uniqueness of the minimal surfaces with asymptotic boundary $\\Lambda$ is equivalent to uniqueness in the smaller class of stable minimal disks. Then we show that if a quasicircle (or more generally, a Jordan curve of finite width) $\\Lambda$ is the asymptotic boundary of a minimal surface $\\Sigma$ with principal curvatures less than or equal to 1 in abso","authors_text":"Andrea Seppi, Ben Lowe, Zheng Huang","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2023-09-01T17:35:14Z","title":"Uniqueness and non-uniqueness for the asymptotic Plateau problem in hyperbolic space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.00599","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":"sha256:94b2138b58e76458c653a31c1684d435f02d26a71d46c65191edd80211377e47","target":"record","created_at":"2026-07-05T09:08:20Z","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":"e01cfc4b2f4e63a7fdf1a36bc2ed9d8ca5fcbbd0beaba9a1b12d4339cf0993c8","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2023-09-01T17:35:14Z","title_canon_sha256":"1bac0710975b15788c98c10a9e7a8827b73ebb05ef6819cda86f64926b9b3bda"},"schema_version":"1.0","source":{"id":"2309.00599","kind":"arxiv","version":2}},"canonical_sha256":"8c125be81d0810b44f989f1a1ad5f076dffc4afad32438c44de467e103288423","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8c125be81d0810b44f989f1a1ad5f076dffc4afad32438c44de467e103288423","first_computed_at":"2026-07-05T09:08:20.821780Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:08:20.821780Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lfZkKIxxWpHYLbNHsplYJKDddglB8ahK2KZUStDPhMXWnbC0Wj6CQgdBbeOb7F9KrmQUPVTCwx8Qf6+P8LdQDw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:08:20.822280Z","signed_message":"canonical_sha256_bytes"},"source_id":"2309.00599","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:94b2138b58e76458c653a31c1684d435f02d26a71d46c65191edd80211377e47","sha256:d03a8f848925999195f8f9332ee992e2e9c352ee26cd8e3d32f4aeada85ea10c"],"state_sha256":"93e2553ba9390981ed7d9692f917982138efabef2fae66d127a14196996b6dc9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X4f2svSPjG73pMssQLX60OC7M5w3z1/4B1+weMaxQEjeQhODwVXbWZVXO8pcZ/+pmC5fu+az6tpAluIvsKoACw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T01:47:23.352751Z","bundle_sha256":"bdeb04523e2eb0b0bc9e43b37d02c51624ca5028d75be04b06d85d4375baa8e0"}}