{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:PT5YPLJZF2KDX7AMSJN67N5CIT","short_pith_number":"pith:PT5YPLJZ","canonical_record":{"source":{"id":"1707.07132","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-07-22T09:54:39Z","cross_cats_sorted":[],"title_canon_sha256":"8466f825434f57b11ca35eb2271ec643c8652f98700cf04851d3226d75911bca","abstract_canon_sha256":"47283474b6516a054fb08bee948f7f52b02050a9649c6a8bd0ab91a4cb9bf01e"},"schema_version":"1.0"},"canonical_sha256":"7cfb87ad392e943bfc0c925befb7a244dabd082b00367742be6d7ee8697c912e","source":{"kind":"arxiv","id":"1707.07132","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.07132","created_at":"2026-05-18T00:39:25Z"},{"alias_kind":"arxiv_version","alias_value":"1707.07132v2","created_at":"2026-05-18T00:39:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.07132","created_at":"2026-05-18T00:39:25Z"},{"alias_kind":"pith_short_12","alias_value":"PT5YPLJZF2KD","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"PT5YPLJZF2KDX7AM","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"PT5YPLJZ","created_at":"2026-05-18T12:31:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:PT5YPLJZF2KDX7AMSJN67N5CIT","target":"record","payload":{"canonical_record":{"source":{"id":"1707.07132","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-07-22T09:54:39Z","cross_cats_sorted":[],"title_canon_sha256":"8466f825434f57b11ca35eb2271ec643c8652f98700cf04851d3226d75911bca","abstract_canon_sha256":"47283474b6516a054fb08bee948f7f52b02050a9649c6a8bd0ab91a4cb9bf01e"},"schema_version":"1.0"},"canonical_sha256":"7cfb87ad392e943bfc0c925befb7a244dabd082b00367742be6d7ee8697c912e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:25.322173Z","signature_b64":"ajOGRkB9Atmj1nsghuyzmFpa/NQ1jEP0q0v5JcvFkafBzmWluuwOLJ7aMSytB/ZG5ikyc7ncdukJdBC/cSRDAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7cfb87ad392e943bfc0c925befb7a244dabd082b00367742be6d7ee8697c912e","last_reissued_at":"2026-05-18T00:39:25.321496Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:25.321496Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.07132","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":"2026-05-18T00:39:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mR8XEfb9KU5xIaK0bh0RyHjzkMQn/JNZrKao9koDnDklQkV2eILB9kRjm5ktb+NN3N9J6iEhxazXeup9sEO2CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T16:00:09.354329Z"},"content_sha256":"207f2fb44c582e08a70fd482d85aaca0ed3443bac180dc9db5a292014b60f526","schema_version":"1.0","event_id":"sha256:207f2fb44c582e08a70fd482d85aaca0ed3443bac180dc9db5a292014b60f526"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:PT5YPLJZF2KDX7AMSJN67N5CIT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mean curvature flow solitons in the presence of conformal vector fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Jorge H. de Lira, Luis Al\\'ias, Marco Rigoli","submitted_at":"2017-07-22T09:54:39Z","abstract_excerpt":"The aim of this paper is to introduce a notion of mean curvature flow soliton general enough to encompass target spaces of constant sectional curvature, Riemannian products or, in increasing generality, warped product spaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.07132","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":""},"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":"2026-05-18T00:39:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5y+XX3ZqvM8JqkGUUY1dddffYc5LPwUyFHd0yCwY0mdHhUa8l5e7iNC42d1RZUoKAGaZDpMM2nxBvAMrg8VaDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T16:00:09.354676Z"},"content_sha256":"d1591cf9fe4d89766e95e86f5a7e902a67bcad81198d32a88f280a9f7407f898","schema_version":"1.0","event_id":"sha256:d1591cf9fe4d89766e95e86f5a7e902a67bcad81198d32a88f280a9f7407f898"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PT5YPLJZF2KDX7AMSJN67N5CIT/bundle.json","state_url":"https://pith.science/pith/PT5YPLJZF2KDX7AMSJN67N5CIT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PT5YPLJZF2KDX7AMSJN67N5CIT/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":"2026-06-22T16:00:09Z","links":{"resolver":"https://pith.science/pith/PT5YPLJZF2KDX7AMSJN67N5CIT","bundle":"https://pith.science/pith/PT5YPLJZF2KDX7AMSJN67N5CIT/bundle.json","state":"https://pith.science/pith/PT5YPLJZF2KDX7AMSJN67N5CIT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PT5YPLJZF2KDX7AMSJN67N5CIT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:PT5YPLJZF2KDX7AMSJN67N5CIT","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":"47283474b6516a054fb08bee948f7f52b02050a9649c6a8bd0ab91a4cb9bf01e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-07-22T09:54:39Z","title_canon_sha256":"8466f825434f57b11ca35eb2271ec643c8652f98700cf04851d3226d75911bca"},"schema_version":"1.0","source":{"id":"1707.07132","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.07132","created_at":"2026-05-18T00:39:25Z"},{"alias_kind":"arxiv_version","alias_value":"1707.07132v2","created_at":"2026-05-18T00:39:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.07132","created_at":"2026-05-18T00:39:25Z"},{"alias_kind":"pith_short_12","alias_value":"PT5YPLJZF2KD","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"PT5YPLJZF2KDX7AM","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"PT5YPLJZ","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:d1591cf9fe4d89766e95e86f5a7e902a67bcad81198d32a88f280a9f7407f898","target":"graph","created_at":"2026-05-18T00:39:25Z","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 aim of this paper is to introduce a notion of mean curvature flow soliton general enough to encompass target spaces of constant sectional curvature, Riemannian products or, in increasing generality, warped product spaces.","authors_text":"Jorge H. de Lira, Luis Al\\'ias, Marco Rigoli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-07-22T09:54:39Z","title":"Mean curvature flow solitons in the presence of conformal vector fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.07132","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":"sha256:207f2fb44c582e08a70fd482d85aaca0ed3443bac180dc9db5a292014b60f526","target":"record","created_at":"2026-05-18T00:39:25Z","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":"47283474b6516a054fb08bee948f7f52b02050a9649c6a8bd0ab91a4cb9bf01e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-07-22T09:54:39Z","title_canon_sha256":"8466f825434f57b11ca35eb2271ec643c8652f98700cf04851d3226d75911bca"},"schema_version":"1.0","source":{"id":"1707.07132","kind":"arxiv","version":2}},"canonical_sha256":"7cfb87ad392e943bfc0c925befb7a244dabd082b00367742be6d7ee8697c912e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7cfb87ad392e943bfc0c925befb7a244dabd082b00367742be6d7ee8697c912e","first_computed_at":"2026-05-18T00:39:25.321496Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:39:25.321496Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ajOGRkB9Atmj1nsghuyzmFpa/NQ1jEP0q0v5JcvFkafBzmWluuwOLJ7aMSytB/ZG5ikyc7ncdukJdBC/cSRDAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:39:25.322173Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.07132","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:207f2fb44c582e08a70fd482d85aaca0ed3443bac180dc9db5a292014b60f526","sha256:d1591cf9fe4d89766e95e86f5a7e902a67bcad81198d32a88f280a9f7407f898"],"state_sha256":"c5445831ff0c97a022c2178693ed13749518d882a4eea63187bc83086fad8917"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dOSkKtWVyxYZwBS8r2WlXvjmNJePI1Okzom79tmp1uWTTV18E/oAsqdJZT36e5LD4zZZd4fcoJRc96e2MdRpAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T16:00:09.356579Z","bundle_sha256":"0d9a2d7c1528bb5bbc8c180918a7626e3c23ffdb404e1bfa7228f96616e7e5ec"}}