{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:W54OBTDPQZ5KYNPA7TFQOS4PTH","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":"f1d626318088ed5c6d446f683616dae7c4949aafbe723a29ac6422adc1f98579","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-08-14T15:58:44Z","title_canon_sha256":"f58ef6c31f9e2674656020921628687fc59c7d0b79e0b156621dafaba072fe77"},"schema_version":"1.0","source":{"id":"1508.03553","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.03553","created_at":"2026-05-18T00:45:08Z"},{"alias_kind":"arxiv_version","alias_value":"1508.03553v3","created_at":"2026-05-18T00:45:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.03553","created_at":"2026-05-18T00:45:08Z"},{"alias_kind":"pith_short_12","alias_value":"W54OBTDPQZ5K","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"W54OBTDPQZ5KYNPA","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"W54OBTDP","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:3e29b442c92f3d86bfe7fa3878ad106c132bc0030041ba9f528aa71b35971744","target":"graph","created_at":"2026-05-18T00:45:08Z","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 prove that the space of complete, finite volume, pinched negatively curved Riemannian metrics on a smooth high-dimensional manifold is either empty or it is highly non-connected, provided their behavior at infinity is similar.","authors_text":"Mauricio Bustamante","cross_cats":["math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-08-14T15:58:44Z","title":"On the topology of the space of pinched negatively curved metrics with finite volume and identical ends"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.03553","kind":"arxiv","version":3},"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:ee5c8748749bb8519054ba9c066f8b573f0902ce125c38e1cbd19842fb677007","target":"record","created_at":"2026-05-18T00:45:08Z","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":"f1d626318088ed5c6d446f683616dae7c4949aafbe723a29ac6422adc1f98579","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-08-14T15:58:44Z","title_canon_sha256":"f58ef6c31f9e2674656020921628687fc59c7d0b79e0b156621dafaba072fe77"},"schema_version":"1.0","source":{"id":"1508.03553","kind":"arxiv","version":3}},"canonical_sha256":"b778e0cc6f867aac35e0fccb074b8f99d0f40a4bd4230a6614ec45dd39ac1130","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b778e0cc6f867aac35e0fccb074b8f99d0f40a4bd4230a6614ec45dd39ac1130","first_computed_at":"2026-05-18T00:45:08.657307Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:08.657307Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lD8nYhwLAhx7x4CVWDj4P/6pC1ieKwms+4m0L9MiZ3nknwf1DhYnBFtbtMWBU3vTWINQtq3QlkAKZuL1nicUDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:08.657837Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.03553","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee5c8748749bb8519054ba9c066f8b573f0902ce125c38e1cbd19842fb677007","sha256:3e29b442c92f3d86bfe7fa3878ad106c132bc0030041ba9f528aa71b35971744"],"state_sha256":"77b278a3b153941ed66fb1c9e4606d13e8f427e2a7461a7441f3f8abbd56d695"}