{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:IYVKUI4RWPS2PJFC4M3KYFJ5TH","short_pith_number":"pith:IYVKUI4R","canonical_record":{"source":{"id":"2505.21083","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2025-05-27T12:07:30Z","cross_cats_sorted":[],"title_canon_sha256":"874b903529429615622dd2ff01665f78c5d4a4140404f9220e55cf5d3e70b3bf","abstract_canon_sha256":"f8b4a44b1688295dd7d260554c4894dbf09179bea08f4b3ba1d3897c0a03ae98"},"schema_version":"1.0"},"canonical_sha256":"462aaa2391b3e5a7a4a2e336ac153d99c148c0f14367ad01098c11f18a55e657","source":{"kind":"arxiv","id":"2505.21083","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.21083","created_at":"2026-07-05T11:10:23Z"},{"alias_kind":"arxiv_version","alias_value":"2505.21083v1","created_at":"2026-07-05T11:10:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.21083","created_at":"2026-07-05T11:10:23Z"},{"alias_kind":"pith_short_12","alias_value":"IYVKUI4RWPS2","created_at":"2026-07-05T11:10:23Z"},{"alias_kind":"pith_short_16","alias_value":"IYVKUI4RWPS2PJFC","created_at":"2026-07-05T11:10:23Z"},{"alias_kind":"pith_short_8","alias_value":"IYVKUI4R","created_at":"2026-07-05T11:10:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:IYVKUI4RWPS2PJFC4M3KYFJ5TH","target":"record","payload":{"canonical_record":{"source":{"id":"2505.21083","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2025-05-27T12:07:30Z","cross_cats_sorted":[],"title_canon_sha256":"874b903529429615622dd2ff01665f78c5d4a4140404f9220e55cf5d3e70b3bf","abstract_canon_sha256":"f8b4a44b1688295dd7d260554c4894dbf09179bea08f4b3ba1d3897c0a03ae98"},"schema_version":"1.0"},"canonical_sha256":"462aaa2391b3e5a7a4a2e336ac153d99c148c0f14367ad01098c11f18a55e657","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:10:23.389984Z","signature_b64":"E8OItrcjpOHVZ7DnngdlY9TvZ6IkB9isUia4YxW/JCVxHfYZLd3Eju4p2w/QDlFx0dbz+j5Gta2l1lxF11SzCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"462aaa2391b3e5a7a4a2e336ac153d99c148c0f14367ad01098c11f18a55e657","last_reissued_at":"2026-07-05T11:10:23.389457Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:10:23.389457Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.21083","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:10:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tFnN/npd0WPm1yHNEOdiVgKiaaXeZHPDtr7PeYWIpyrR9kuVdI9HKBNqtgwstvQh5Nlb4TTYdy3zvnAIsiVoCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T06:44:01.153082Z"},"content_sha256":"b18dc4c70bbcc10db76a7700d062c84d009339082c148b59f35739d6ba5d7004","schema_version":"1.0","event_id":"sha256:b18dc4c70bbcc10db76a7700d062c84d009339082c148b59f35739d6ba5d7004"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:IYVKUI4RWPS2PJFC4M3KYFJ5TH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the geometry of the asymptotic boundary of translators in $\\mathbb H^2\\times \\mathbb R$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Giuseppe Pipoli, Giuseppe Tinaglia, Joao Paulo dos Santos","submitted_at":"2025-05-27T12:07:30Z","abstract_excerpt":"In this work, we study complete properly immersed translators in the product space $\\mathbb H^2\\times\\mathbb R$, focusing on their asymptotic behavior at infinity. We classify the asymptotic boundary components of these translators under suitable continuity assumptions. Specifically, we prove that if a boundary component lies in the vertical asymptotic boundary, it is of the form $\\{p\\}\\times [T,\\infty)$ or $\\{p\\}\\times \\mathbb R$, while if it lies in the horizontal asymptotic boundary, it is a complete geodesic. Our approach is inspired by earlier work on minimal and constant mean curvature s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.21083","kind":"arxiv","version":1},"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/2505.21083/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":"2026-07-05T11:10:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+dwD+C2/E+LcrVQN0pxboO69lpC0FWNRIflR7wnvcuIt12F/9DnSjg93z1zOjqXA/BErVVbiSOOfpBR2BbqFBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T06:44:01.153591Z"},"content_sha256":"277243cc0ff2be6093cccdc1db9e70073331488295624425dd1e5d53033062fa","schema_version":"1.0","event_id":"sha256:277243cc0ff2be6093cccdc1db9e70073331488295624425dd1e5d53033062fa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IYVKUI4RWPS2PJFC4M3KYFJ5TH/bundle.json","state_url":"https://pith.science/pith/IYVKUI4RWPS2PJFC4M3KYFJ5TH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IYVKUI4RWPS2PJFC4M3KYFJ5TH/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":"2026-08-08T06:44:01Z","links":{"resolver":"https://pith.science/pith/IYVKUI4RWPS2PJFC4M3KYFJ5TH","bundle":"https://pith.science/pith/IYVKUI4RWPS2PJFC4M3KYFJ5TH/bundle.json","state":"https://pith.science/pith/IYVKUI4RWPS2PJFC4M3KYFJ5TH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IYVKUI4RWPS2PJFC4M3KYFJ5TH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:IYVKUI4RWPS2PJFC4M3KYFJ5TH","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":"f8b4a44b1688295dd7d260554c4894dbf09179bea08f4b3ba1d3897c0a03ae98","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2025-05-27T12:07:30Z","title_canon_sha256":"874b903529429615622dd2ff01665f78c5d4a4140404f9220e55cf5d3e70b3bf"},"schema_version":"1.0","source":{"id":"2505.21083","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.21083","created_at":"2026-07-05T11:10:23Z"},{"alias_kind":"arxiv_version","alias_value":"2505.21083v1","created_at":"2026-07-05T11:10:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.21083","created_at":"2026-07-05T11:10:23Z"},{"alias_kind":"pith_short_12","alias_value":"IYVKUI4RWPS2","created_at":"2026-07-05T11:10:23Z"},{"alias_kind":"pith_short_16","alias_value":"IYVKUI4RWPS2PJFC","created_at":"2026-07-05T11:10:23Z"},{"alias_kind":"pith_short_8","alias_value":"IYVKUI4R","created_at":"2026-07-05T11:10:23Z"}],"graph_snapshots":[{"event_id":"sha256:277243cc0ff2be6093cccdc1db9e70073331488295624425dd1e5d53033062fa","target":"graph","created_at":"2026-07-05T11:10:23Z","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/2505.21083/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we study complete properly immersed translators in the product space $\\mathbb H^2\\times\\mathbb R$, focusing on their asymptotic behavior at infinity. We classify the asymptotic boundary components of these translators under suitable continuity assumptions. Specifically, we prove that if a boundary component lies in the vertical asymptotic boundary, it is of the form $\\{p\\}\\times [T,\\infty)$ or $\\{p\\}\\times \\mathbb R$, while if it lies in the horizontal asymptotic boundary, it is a complete geodesic. Our approach is inspired by earlier work on minimal and constant mean curvature s","authors_text":"Giuseppe Pipoli, Giuseppe Tinaglia, Joao Paulo dos Santos","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2025-05-27T12:07:30Z","title":"On the geometry of the asymptotic boundary of translators in $\\mathbb H^2\\times \\mathbb R$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.21083","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:b18dc4c70bbcc10db76a7700d062c84d009339082c148b59f35739d6ba5d7004","target":"record","created_at":"2026-07-05T11:10:23Z","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":"f8b4a44b1688295dd7d260554c4894dbf09179bea08f4b3ba1d3897c0a03ae98","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2025-05-27T12:07:30Z","title_canon_sha256":"874b903529429615622dd2ff01665f78c5d4a4140404f9220e55cf5d3e70b3bf"},"schema_version":"1.0","source":{"id":"2505.21083","kind":"arxiv","version":1}},"canonical_sha256":"462aaa2391b3e5a7a4a2e336ac153d99c148c0f14367ad01098c11f18a55e657","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"462aaa2391b3e5a7a4a2e336ac153d99c148c0f14367ad01098c11f18a55e657","first_computed_at":"2026-07-05T11:10:23.389457Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:10:23.389457Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E8OItrcjpOHVZ7DnngdlY9TvZ6IkB9isUia4YxW/JCVxHfYZLd3Eju4p2w/QDlFx0dbz+j5Gta2l1lxF11SzCA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:10:23.389984Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.21083","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b18dc4c70bbcc10db76a7700d062c84d009339082c148b59f35739d6ba5d7004","sha256:277243cc0ff2be6093cccdc1db9e70073331488295624425dd1e5d53033062fa"],"state_sha256":"20d500ee50f82a4b1f87121f7f24006d6f8104fd41bef4b6445edde81ac53722"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0FYmvMoDwtvzkjEClJHj0f7cdebTXkTYqAriVerzWDpBxqt8haX9anO4qieZ23kQ+j82YU6mT/UrrQWmVQ/FDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T06:44:01.157755Z","bundle_sha256":"bbc23d7b2d2316c67c91ca33af76584138219769a1a8d984a69aa0e129d65cc9"}}