{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:TZFQXCGVJPIT7ECNJG3NYP5TT4","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":"b6a064341cf18ee8db6985a4e5fa40470bdf6492ca19897acd0b255ae3b2782f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-07-14T14:01:54Z","title_canon_sha256":"0b662963fb2aeedb4ad8eeea96d6287f3f791a4b99f105b4724060eb33033eb0"},"schema_version":"1.0","source":{"id":"1107.2829","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.2829","created_at":"2026-05-18T00:01:01Z"},{"alias_kind":"arxiv_version","alias_value":"1107.2829v2","created_at":"2026-05-18T00:01:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.2829","created_at":"2026-05-18T00:01:01Z"},{"alias_kind":"pith_short_12","alias_value":"TZFQXCGVJPIT","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"TZFQXCGVJPIT7ECN","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"TZFQXCGV","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:5b67edf4f14e8adc6a8ef311e166bb23357b8302b507bbcee78c950722b47918","target":"graph","created_at":"2026-05-18T00:01:01Z","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":"We study the geometry of complete generic Ricci solitons with the aid of some geometric-analytical tools extending techniques of the usual Riemannian setting.","authors_text":"Marco Rigoli, Michele Rimoldi, Paolo Mastrolia","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-07-14T14:01:54Z","title":"Some geometric analysis on generic Ricci solitons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.2829","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:e08f27d9d6ad8723880b67887db78b7fea75a7982a2ef238d3aeea20d1c26689","target":"record","created_at":"2026-05-18T00:01:01Z","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":"b6a064341cf18ee8db6985a4e5fa40470bdf6492ca19897acd0b255ae3b2782f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-07-14T14:01:54Z","title_canon_sha256":"0b662963fb2aeedb4ad8eeea96d6287f3f791a4b99f105b4724060eb33033eb0"},"schema_version":"1.0","source":{"id":"1107.2829","kind":"arxiv","version":2}},"canonical_sha256":"9e4b0b88d54bd13f904d49b6dc3fb39f2e18d54c89c796d73f82def1184a4c32","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9e4b0b88d54bd13f904d49b6dc3fb39f2e18d54c89c796d73f82def1184a4c32","first_computed_at":"2026-05-18T00:01:01.094096Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:01:01.094096Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3vMmWKHdl68k9a4cxxz6i/a+oKnAQrc3fm+3zQe2GpPNtFxvc7Zj1g6Xp4dypN91IYnlHy12wk/KUWdi38QtAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:01:01.094655Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.2829","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e08f27d9d6ad8723880b67887db78b7fea75a7982a2ef238d3aeea20d1c26689","sha256:5b67edf4f14e8adc6a8ef311e166bb23357b8302b507bbcee78c950722b47918"],"state_sha256":"bcebf6e28e91974e03d1bf520d31afd9de047acbc8816db9307aac3aa7d816dc"}