{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:5R22NX27EPQX4HV3MEUYXI52VP","short_pith_number":"pith:5R22NX27","canonical_record":{"source":{"id":"1108.4127","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-08-20T16:55:05Z","cross_cats_sorted":[],"title_canon_sha256":"d2c7d851495c4ce71f1c37abe8b8d58c19c8352af457b70d4649566828512cc7","abstract_canon_sha256":"d3f736565ed2443a9d4fef554c9d9b6a62b0cd7a8a5cca9dd5a48fd05adc709b"},"schema_version":"1.0"},"canonical_sha256":"ec75a6df5f23e17e1ebb61298ba3baabeafc967eacfda3e09827597502e4630e","source":{"kind":"arxiv","id":"1108.4127","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.4127","created_at":"2026-05-18T04:14:56Z"},{"alias_kind":"arxiv_version","alias_value":"1108.4127v1","created_at":"2026-05-18T04:14:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.4127","created_at":"2026-05-18T04:14:56Z"},{"alias_kind":"pith_short_12","alias_value":"5R22NX27EPQX","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"5R22NX27EPQX4HV3","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"5R22NX27","created_at":"2026-05-18T12:26:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:5R22NX27EPQX4HV3MEUYXI52VP","target":"record","payload":{"canonical_record":{"source":{"id":"1108.4127","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-08-20T16:55:05Z","cross_cats_sorted":[],"title_canon_sha256":"d2c7d851495c4ce71f1c37abe8b8d58c19c8352af457b70d4649566828512cc7","abstract_canon_sha256":"d3f736565ed2443a9d4fef554c9d9b6a62b0cd7a8a5cca9dd5a48fd05adc709b"},"schema_version":"1.0"},"canonical_sha256":"ec75a6df5f23e17e1ebb61298ba3baabeafc967eacfda3e09827597502e4630e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:14:56.078194Z","signature_b64":"xRj/pmRh89Mt6V3w6uvqkI44EJs+Zzb4H31MDMhGvsXwh2Hmg864RtYgSsRKd0U2HReumTx1CigOrBP5alLmCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ec75a6df5f23e17e1ebb61298ba3baabeafc967eacfda3e09827597502e4630e","last_reissued_at":"2026-05-18T04:14:56.077788Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:14:56.077788Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1108.4127","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":"2026-05-18T04:14:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u7vq5w85Ap4BGw7jx7Qht7hffVrX7R0b6tQJZqNu6nJuYwpHeIeOiCOiXH6LoIFCEy79l72kP7zELl7cCejyCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T22:18:09.912744Z"},"content_sha256":"ea910adc3e8d4fe6360695d169ba770e8860d29315121d8b17be272afe95faf2","schema_version":"1.0","event_id":"sha256:ea910adc3e8d4fe6360695d169ba770e8860d29315121d8b17be272afe95faf2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:5R22NX27EPQX4HV3MEUYXI52VP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gluing locally symmetric manifolds: asphericity and rigidity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"T. Tam Nguyen Phan","submitted_at":"2011-08-20T16:55:05Z","abstract_excerpt":"We use the reflection group trick to glue manifolds with corners that are Borel-Serre compactifications of locally symmetric spaces of noncompact type and obtain aspherical manifolds. We call these \\emph{piecewise locally symmetric} manifolds. This class of spaces provide new examples of aspherical manifolds whose fundamental groups have the structure of a complex of groups. These manifolds typically do not admit a locally $\\CAT(0)$ metric. We prove that any self homotopy equivalence of such manifolds is homotopic to a homeomorphism. We compute the group of self homotopy equivalences of such a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.4127","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":"2026-05-18T04:14:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3RILsJL7LPJT5SK5EgEtRPQpm/O8K+hx46IVhDhXl7/oEpmwXjuFUecDMdyyDbJ2EkDCuxZfzqrBQ9P353Y6DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T22:18:09.913080Z"},"content_sha256":"bcf6fa8ffcf9e350038e7480558f37ab7c543715522ac20f2a02b78c6b13cc7f","schema_version":"1.0","event_id":"sha256:bcf6fa8ffcf9e350038e7480558f37ab7c543715522ac20f2a02b78c6b13cc7f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5R22NX27EPQX4HV3MEUYXI52VP/bundle.json","state_url":"https://pith.science/pith/5R22NX27EPQX4HV3MEUYXI52VP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5R22NX27EPQX4HV3MEUYXI52VP/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":"2026-07-04T22:18:09Z","links":{"resolver":"https://pith.science/pith/5R22NX27EPQX4HV3MEUYXI52VP","bundle":"https://pith.science/pith/5R22NX27EPQX4HV3MEUYXI52VP/bundle.json","state":"https://pith.science/pith/5R22NX27EPQX4HV3MEUYXI52VP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5R22NX27EPQX4HV3MEUYXI52VP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:5R22NX27EPQX4HV3MEUYXI52VP","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":"d3f736565ed2443a9d4fef554c9d9b6a62b0cd7a8a5cca9dd5a48fd05adc709b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-08-20T16:55:05Z","title_canon_sha256":"d2c7d851495c4ce71f1c37abe8b8d58c19c8352af457b70d4649566828512cc7"},"schema_version":"1.0","source":{"id":"1108.4127","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.4127","created_at":"2026-05-18T04:14:56Z"},{"alias_kind":"arxiv_version","alias_value":"1108.4127v1","created_at":"2026-05-18T04:14:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.4127","created_at":"2026-05-18T04:14:56Z"},{"alias_kind":"pith_short_12","alias_value":"5R22NX27EPQX","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"5R22NX27EPQX4HV3","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"5R22NX27","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:bcf6fa8ffcf9e350038e7480558f37ab7c543715522ac20f2a02b78c6b13cc7f","target":"graph","created_at":"2026-05-18T04:14:56Z","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 use the reflection group trick to glue manifolds with corners that are Borel-Serre compactifications of locally symmetric spaces of noncompact type and obtain aspherical manifolds. We call these \\emph{piecewise locally symmetric} manifolds. This class of spaces provide new examples of aspherical manifolds whose fundamental groups have the structure of a complex of groups. These manifolds typically do not admit a locally $\\CAT(0)$ metric. We prove that any self homotopy equivalence of such manifolds is homotopic to a homeomorphism. We compute the group of self homotopy equivalences of such a","authors_text":"T. Tam Nguyen Phan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-08-20T16:55:05Z","title":"Gluing locally symmetric manifolds: asphericity and rigidity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.4127","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:ea910adc3e8d4fe6360695d169ba770e8860d29315121d8b17be272afe95faf2","target":"record","created_at":"2026-05-18T04:14:56Z","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":"d3f736565ed2443a9d4fef554c9d9b6a62b0cd7a8a5cca9dd5a48fd05adc709b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-08-20T16:55:05Z","title_canon_sha256":"d2c7d851495c4ce71f1c37abe8b8d58c19c8352af457b70d4649566828512cc7"},"schema_version":"1.0","source":{"id":"1108.4127","kind":"arxiv","version":1}},"canonical_sha256":"ec75a6df5f23e17e1ebb61298ba3baabeafc967eacfda3e09827597502e4630e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ec75a6df5f23e17e1ebb61298ba3baabeafc967eacfda3e09827597502e4630e","first_computed_at":"2026-05-18T04:14:56.077788Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:14:56.077788Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xRj/pmRh89Mt6V3w6uvqkI44EJs+Zzb4H31MDMhGvsXwh2Hmg864RtYgSsRKd0U2HReumTx1CigOrBP5alLmCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:14:56.078194Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.4127","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ea910adc3e8d4fe6360695d169ba770e8860d29315121d8b17be272afe95faf2","sha256:bcf6fa8ffcf9e350038e7480558f37ab7c543715522ac20f2a02b78c6b13cc7f"],"state_sha256":"fe05daa4603a87dc6c025b66762baa91acb03848945ad5c90cf88d1014cf7897"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nt5lNBX8O3L22RbEi9PpzmC/SE0s4X+ugKIU1dVf+jZayczOe6t0Gs9bpqz6wRHd/GrvCZSniscW25UGiUKzAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T22:18:09.914937Z","bundle_sha256":"22940489da134d156b56764091a7544ff947a3a6773e042e5967a8fe807adcad"}}