{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:E4BUVSENEJY4ZXE2O4D27UL65U","short_pith_number":"pith:E4BUVSEN","canonical_record":{"source":{"id":"2402.05533","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2024-02-08T10:10:44Z","cross_cats_sorted":[],"title_canon_sha256":"0dca8f94a1738ca0cb8da60cc33e0c3b31818041237631f0a535ece2b391c433","abstract_canon_sha256":"0b7a0e7e550df2da3eca7d63a6ede4e24085f5488d166055fc27c401f85ee1e4"},"schema_version":"1.0"},"canonical_sha256":"27034ac88d2271ccdc9a7707afd17eed0e46a56b948494099017d4e365734336","source":{"kind":"arxiv","id":"2402.05533","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.05533","created_at":"2026-07-05T07:42:52Z"},{"alias_kind":"arxiv_version","alias_value":"2402.05533v1","created_at":"2026-07-05T07:42:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.05533","created_at":"2026-07-05T07:42:52Z"},{"alias_kind":"pith_short_12","alias_value":"E4BUVSENEJY4","created_at":"2026-07-05T07:42:52Z"},{"alias_kind":"pith_short_16","alias_value":"E4BUVSENEJY4ZXE2","created_at":"2026-07-05T07:42:52Z"},{"alias_kind":"pith_short_8","alias_value":"E4BUVSEN","created_at":"2026-07-05T07:42:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:E4BUVSENEJY4ZXE2O4D27UL65U","target":"record","payload":{"canonical_record":{"source":{"id":"2402.05533","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2024-02-08T10:10:44Z","cross_cats_sorted":[],"title_canon_sha256":"0dca8f94a1738ca0cb8da60cc33e0c3b31818041237631f0a535ece2b391c433","abstract_canon_sha256":"0b7a0e7e550df2da3eca7d63a6ede4e24085f5488d166055fc27c401f85ee1e4"},"schema_version":"1.0"},"canonical_sha256":"27034ac88d2271ccdc9a7707afd17eed0e46a56b948494099017d4e365734336","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:42:52.036137Z","signature_b64":"vMEMMOZeXuj7HJx9UCRnQzZNE8WcCzV/ep1K+xEvGmxurvl4QLEQHOVUxJRcDa/ib2kWtrxgGk5Oup7Kfjf2Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"27034ac88d2271ccdc9a7707afd17eed0e46a56b948494099017d4e365734336","last_reissued_at":"2026-07-05T07:42:52.035666Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:42:52.035666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2402.05533","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":"2026-07-05T07:42:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SiVAI9f9TXTwt4pDcwucQw0TZm+LkrYIBM9MgVkGil7F3UswCvqkEIV2GIOnJ/I5CRVWXdsjVbfxMme0FiyECg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T04:54:09.156488Z"},"content_sha256":"96d09c6186640b8cd5c3c06ca8fb51e8ff02b784a3c7129584d2723356a40f1f","schema_version":"1.0","event_id":"sha256:96d09c6186640b8cd5c3c06ca8fb51e8ff02b784a3c7129584d2723356a40f1f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:E4BUVSENEJY4ZXE2O4D27UL65U","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A new family of translating solitons in hyperbolic space","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Antonio Bueno, Rafael L\\'opez","submitted_at":"2024-02-08T10:10:44Z","abstract_excerpt":"If $\\xi$ is a Killing vector field of the hyperbolic space $\\h^3$ whose flow are parabolic isometries, a surface $\\Sigma\\subset\\h^3$ is a $\\xi$-translator if its mean curvature $H$ satisfies $H=\\langle N,\\xi\\rangle$, where $N$ is the unit normal of $\\Sigma$. We classify all $\\xi$-translators invariant by a one-parameter group of rotations of $\\h^3$, exhibiting the existence of a new family of grim reapers. We use these grim reapers to prove the non-existence of closed $\\xi$-translators."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.05533","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/2402.05533/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":"2026-07-05T07:42:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E8rAnprSyWViyhSZIUnsdUAxE/wdxzAhrXqtLylREdNuuMMRdw+oWjYKWZp/ZNO10yuVtAsVc1+nfYytgxjUCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T04:54:09.157017Z"},"content_sha256":"92c5de26abba89cde4aa08eeef0bbe90d0f238c3938befb5addb9d200e1483b6","schema_version":"1.0","event_id":"sha256:92c5de26abba89cde4aa08eeef0bbe90d0f238c3938befb5addb9d200e1483b6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E4BUVSENEJY4ZXE2O4D27UL65U/bundle.json","state_url":"https://pith.science/pith/E4BUVSENEJY4ZXE2O4D27UL65U/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E4BUVSENEJY4ZXE2O4D27UL65U/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":"2026-08-09T04:54:09Z","links":{"resolver":"https://pith.science/pith/E4BUVSENEJY4ZXE2O4D27UL65U","bundle":"https://pith.science/pith/E4BUVSENEJY4ZXE2O4D27UL65U/bundle.json","state":"https://pith.science/pith/E4BUVSENEJY4ZXE2O4D27UL65U/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E4BUVSENEJY4ZXE2O4D27UL65U/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:E4BUVSENEJY4ZXE2O4D27UL65U","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":"0b7a0e7e550df2da3eca7d63a6ede4e24085f5488d166055fc27c401f85ee1e4","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2024-02-08T10:10:44Z","title_canon_sha256":"0dca8f94a1738ca0cb8da60cc33e0c3b31818041237631f0a535ece2b391c433"},"schema_version":"1.0","source":{"id":"2402.05533","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.05533","created_at":"2026-07-05T07:42:52Z"},{"alias_kind":"arxiv_version","alias_value":"2402.05533v1","created_at":"2026-07-05T07:42:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.05533","created_at":"2026-07-05T07:42:52Z"},{"alias_kind":"pith_short_12","alias_value":"E4BUVSENEJY4","created_at":"2026-07-05T07:42:52Z"},{"alias_kind":"pith_short_16","alias_value":"E4BUVSENEJY4ZXE2","created_at":"2026-07-05T07:42:52Z"},{"alias_kind":"pith_short_8","alias_value":"E4BUVSEN","created_at":"2026-07-05T07:42:52Z"}],"graph_snapshots":[{"event_id":"sha256:92c5de26abba89cde4aa08eeef0bbe90d0f238c3938befb5addb9d200e1483b6","target":"graph","created_at":"2026-07-05T07:42:52Z","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/2402.05533/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"If $\\xi$ is a Killing vector field of the hyperbolic space $\\h^3$ whose flow are parabolic isometries, a surface $\\Sigma\\subset\\h^3$ is a $\\xi$-translator if its mean curvature $H$ satisfies $H=\\langle N,\\xi\\rangle$, where $N$ is the unit normal of $\\Sigma$. We classify all $\\xi$-translators invariant by a one-parameter group of rotations of $\\h^3$, exhibiting the existence of a new family of grim reapers. We use these grim reapers to prove the non-existence of closed $\\xi$-translators.","authors_text":"Antonio Bueno, Rafael L\\'opez","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2024-02-08T10:10:44Z","title":"A new family of translating solitons in hyperbolic space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.05533","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":"sha256:96d09c6186640b8cd5c3c06ca8fb51e8ff02b784a3c7129584d2723356a40f1f","target":"record","created_at":"2026-07-05T07:42:52Z","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":"0b7a0e7e550df2da3eca7d63a6ede4e24085f5488d166055fc27c401f85ee1e4","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2024-02-08T10:10:44Z","title_canon_sha256":"0dca8f94a1738ca0cb8da60cc33e0c3b31818041237631f0a535ece2b391c433"},"schema_version":"1.0","source":{"id":"2402.05533","kind":"arxiv","version":1}},"canonical_sha256":"27034ac88d2271ccdc9a7707afd17eed0e46a56b948494099017d4e365734336","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"27034ac88d2271ccdc9a7707afd17eed0e46a56b948494099017d4e365734336","first_computed_at":"2026-07-05T07:42:52.035666Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:42:52.035666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vMEMMOZeXuj7HJx9UCRnQzZNE8WcCzV/ep1K+xEvGmxurvl4QLEQHOVUxJRcDa/ib2kWtrxgGk5Oup7Kfjf2Bw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:42:52.036137Z","signed_message":"canonical_sha256_bytes"},"source_id":"2402.05533","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:96d09c6186640b8cd5c3c06ca8fb51e8ff02b784a3c7129584d2723356a40f1f","sha256:92c5de26abba89cde4aa08eeef0bbe90d0f238c3938befb5addb9d200e1483b6"],"state_sha256":"aeade4f02822fbac240368078f1d317a28c0de5e79fe03451390796014b20ac4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WXjVivfj5G1wrlHetFntf0hEMT/pXieYk7aXYI0REtrVsnxpz1L90nyKSY3G1VG9WUndLBTgRc0CW325Yy37BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T04:54:09.162542Z","bundle_sha256":"548a9d41b1149aca29a11c5df989a269634ad440c06c617b89d422815f96d6f8"}}