{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:GZFXNHO4CCLT5JJU6VKGO25AWL","short_pith_number":"pith:GZFXNHO4","canonical_record":{"source":{"id":"1510.04140","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-10-11T11:03:11Z","cross_cats_sorted":[],"title_canon_sha256":"08b926663941ba026ffc38e97e9e55999a906990913f02b39eec6e5aba2617b3","abstract_canon_sha256":"ed7d6493f9e5a0f4ac3678adeafa72f1e116d6443478bb55e378cdb3cd3c8d7c"},"schema_version":"1.0"},"canonical_sha256":"364b769ddc10973ea534f554676ba0b2c78658fe39a6fbf5de6bdb2a9d614803","source":{"kind":"arxiv","id":"1510.04140","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.04140","created_at":"2026-05-18T00:37:48Z"},{"alias_kind":"arxiv_version","alias_value":"1510.04140v1","created_at":"2026-05-18T00:37:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.04140","created_at":"2026-05-18T00:37:48Z"},{"alias_kind":"pith_short_12","alias_value":"GZFXNHO4CCLT","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"GZFXNHO4CCLT5JJU","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"GZFXNHO4","created_at":"2026-05-18T12:29:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:GZFXNHO4CCLT5JJU6VKGO25AWL","target":"record","payload":{"canonical_record":{"source":{"id":"1510.04140","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-10-11T11:03:11Z","cross_cats_sorted":[],"title_canon_sha256":"08b926663941ba026ffc38e97e9e55999a906990913f02b39eec6e5aba2617b3","abstract_canon_sha256":"ed7d6493f9e5a0f4ac3678adeafa72f1e116d6443478bb55e378cdb3cd3c8d7c"},"schema_version":"1.0"},"canonical_sha256":"364b769ddc10973ea534f554676ba0b2c78658fe39a6fbf5de6bdb2a9d614803","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:37:48.787428Z","signature_b64":"LgYAM/WJosbfIpStFW0GC/vx2wbwBwlhsxQ+3Fd6hamA8Ki9/vuAFbNvH00LR3IfXlV/DhpcDnibG6/tAWPhAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"364b769ddc10973ea534f554676ba0b2c78658fe39a6fbf5de6bdb2a9d614803","last_reissued_at":"2026-05-18T00:37:48.786931Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:37:48.786931Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.04140","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":"2026-05-18T00:37:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fDiBrQHpNJsZS6t/MIQoaSXQrx3rNoQ92S/fjq2gUQ1n3+ZjPw2J/9RkRJ2RXvWc1UOIGvjC1uw1p4XXqYJcBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T00:24:48.492754Z"},"content_sha256":"6e89026d24e94b9fa521a0029d8ce2dc9ca5db9f49278c270091deec61e1c3d8","schema_version":"1.0","event_id":"sha256:6e89026d24e94b9fa521a0029d8ce2dc9ca5db9f49278c270091deec61e1c3d8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:GZFXNHO4CCLT5JJU6VKGO25AWL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Smooth and PL-Rigidity Problems on Locally Symmetric Spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Ramesh Kasilingam","submitted_at":"2015-10-11T11:03:11Z","abstract_excerpt":"This is a survey on known results and open problems about Smooth and PL-Rigidity Problem for negatively curved locally symmetric spaces. We also review some developments about studying the basic topological properties of the space of negatively curved Riemannian metrics and the Teichmuller space of negatively curved metrics on a manifold."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.04140","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":""},"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":"2026-05-18T00:37:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dgljDtbUDZBStonNItNo7LF6uFVbDCzwoJH8KGB3gb0bPT90Ym09n37kAP1dhRy9J5jAzDSDYVIazRLxZy/lAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T00:24:48.493102Z"},"content_sha256":"6d692703c0a6a5b305ba22606667a957ac8fa769d586693006e8be7906fe0bcb","schema_version":"1.0","event_id":"sha256:6d692703c0a6a5b305ba22606667a957ac8fa769d586693006e8be7906fe0bcb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GZFXNHO4CCLT5JJU6VKGO25AWL/bundle.json","state_url":"https://pith.science/pith/GZFXNHO4CCLT5JJU6VKGO25AWL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GZFXNHO4CCLT5JJU6VKGO25AWL/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":"2026-06-03T00:24:48Z","links":{"resolver":"https://pith.science/pith/GZFXNHO4CCLT5JJU6VKGO25AWL","bundle":"https://pith.science/pith/GZFXNHO4CCLT5JJU6VKGO25AWL/bundle.json","state":"https://pith.science/pith/GZFXNHO4CCLT5JJU6VKGO25AWL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GZFXNHO4CCLT5JJU6VKGO25AWL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:GZFXNHO4CCLT5JJU6VKGO25AWL","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":"ed7d6493f9e5a0f4ac3678adeafa72f1e116d6443478bb55e378cdb3cd3c8d7c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-10-11T11:03:11Z","title_canon_sha256":"08b926663941ba026ffc38e97e9e55999a906990913f02b39eec6e5aba2617b3"},"schema_version":"1.0","source":{"id":"1510.04140","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.04140","created_at":"2026-05-18T00:37:48Z"},{"alias_kind":"arxiv_version","alias_value":"1510.04140v1","created_at":"2026-05-18T00:37:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.04140","created_at":"2026-05-18T00:37:48Z"},{"alias_kind":"pith_short_12","alias_value":"GZFXNHO4CCLT","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"GZFXNHO4CCLT5JJU","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"GZFXNHO4","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:6d692703c0a6a5b305ba22606667a957ac8fa769d586693006e8be7906fe0bcb","target":"graph","created_at":"2026-05-18T00:37:48Z","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":"This is a survey on known results and open problems about Smooth and PL-Rigidity Problem for negatively curved locally symmetric spaces. We also review some developments about studying the basic topological properties of the space of negatively curved Riemannian metrics and the Teichmuller space of negatively curved metrics on a manifold.","authors_text":"Ramesh Kasilingam","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-10-11T11:03:11Z","title":"Smooth and PL-Rigidity Problems on Locally Symmetric Spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.04140","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":"sha256:6e89026d24e94b9fa521a0029d8ce2dc9ca5db9f49278c270091deec61e1c3d8","target":"record","created_at":"2026-05-18T00:37:48Z","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":"ed7d6493f9e5a0f4ac3678adeafa72f1e116d6443478bb55e378cdb3cd3c8d7c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-10-11T11:03:11Z","title_canon_sha256":"08b926663941ba026ffc38e97e9e55999a906990913f02b39eec6e5aba2617b3"},"schema_version":"1.0","source":{"id":"1510.04140","kind":"arxiv","version":1}},"canonical_sha256":"364b769ddc10973ea534f554676ba0b2c78658fe39a6fbf5de6bdb2a9d614803","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"364b769ddc10973ea534f554676ba0b2c78658fe39a6fbf5de6bdb2a9d614803","first_computed_at":"2026-05-18T00:37:48.786931Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:48.786931Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LgYAM/WJosbfIpStFW0GC/vx2wbwBwlhsxQ+3Fd6hamA8Ki9/vuAFbNvH00LR3IfXlV/DhpcDnibG6/tAWPhAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:48.787428Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.04140","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6e89026d24e94b9fa521a0029d8ce2dc9ca5db9f49278c270091deec61e1c3d8","sha256:6d692703c0a6a5b305ba22606667a957ac8fa769d586693006e8be7906fe0bcb"],"state_sha256":"d98b781db91227576ba7325c5ca63e21f077c5d5446b8bdcd7080b8ca00597c6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qIDvDR7HOjdGGEzAb0xWJ/RqsztfOVEgQKpcjXXoj67aMvXP21zN8XRPsflzfNORlTsl/t5kGfCZALnujeWFBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T00:24:48.494996Z","bundle_sha256":"cd3c021ea571a0d5a908f33c18a4a4fee861c955ee025ebab9ef52ce7f7dee04"}}