{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:7B7IAU7P33QCJOR46PZNPIWBGI","short_pith_number":"pith:7B7IAU7P","canonical_record":{"source":{"id":"1110.2518","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2011-10-11T22:04:10Z","cross_cats_sorted":[],"title_canon_sha256":"4cfe63f50344c838d4bc7ae4cdcac4ea44ef2c42c8297c342f306bf3d8a70da8","abstract_canon_sha256":"b75c91115ea513d7b05f2e564f7d0b4196c9bfa5d679c66cc86f6a6d0d455d7c"},"schema_version":"1.0"},"canonical_sha256":"f87e8053efdee024ba3cf3f2d7a2c132099e30567fcfaaebac9d8dba41ca5335","source":{"kind":"arxiv","id":"1110.2518","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.2518","created_at":"2026-05-18T03:38:14Z"},{"alias_kind":"arxiv_version","alias_value":"1110.2518v3","created_at":"2026-05-18T03:38:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.2518","created_at":"2026-05-18T03:38:14Z"},{"alias_kind":"pith_short_12","alias_value":"7B7IAU7P33QC","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"7B7IAU7P33QCJOR4","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"7B7IAU7P","created_at":"2026-05-18T12:26:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:7B7IAU7P33QCJOR46PZNPIWBGI","target":"record","payload":{"canonical_record":{"source":{"id":"1110.2518","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2011-10-11T22:04:10Z","cross_cats_sorted":[],"title_canon_sha256":"4cfe63f50344c838d4bc7ae4cdcac4ea44ef2c42c8297c342f306bf3d8a70da8","abstract_canon_sha256":"b75c91115ea513d7b05f2e564f7d0b4196c9bfa5d679c66cc86f6a6d0d455d7c"},"schema_version":"1.0"},"canonical_sha256":"f87e8053efdee024ba3cf3f2d7a2c132099e30567fcfaaebac9d8dba41ca5335","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:38:14.409677Z","signature_b64":"SDpWa13wQ42plmOqLwPjzGjwgD6PlfRjpT/7iRdAC2Lnl2aJn7CJ3N68Z1ymizWMoGu4+gw+kmuRR5yrUvZXAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f87e8053efdee024ba3cf3f2d7a2c132099e30567fcfaaebac9d8dba41ca5335","last_reissued_at":"2026-05-18T03:38:14.409027Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:38:14.409027Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.2518","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:38:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9RZHcpLxNhwTw8443PD7E9cs17+ZOmvLUEO+RseubHCmTAZvpfZIldhVvTV+j1AEBH8wRod0BYOTHpQOY2tEBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T05:09:02.972887Z"},"content_sha256":"8fb87d2ba98116e254128a81bed8dfef4108787cdd83c10f81fd5381b975aaca","schema_version":"1.0","event_id":"sha256:8fb87d2ba98116e254128a81bed8dfef4108787cdd83c10f81fd5381b975aaca"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:7B7IAU7P33QCJOR46PZNPIWBGI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On cohomology of the Higson compactification of hyperbolic spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Alexander Dranishnikov, Thanos Gentimis","submitted_at":"2011-10-11T22:04:10Z","abstract_excerpt":"We show that in dimensions $>1$ the cohomology groups of the Higson compactification of the hyperbolic space $\\H^n$ with respect to the $C_0$ coarse structure are trivial.\n  Also we prove that the cohomology groups of the Higson compactification of $\\H^n$ for the bounded coarse structure are trivial in all even dimensions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.2518","kind":"arxiv","version":3},"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":"2026-05-18T03:38:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ggfzd3uyUbp+tfQIBEoCpTafAAgf4Cwg17ukyLt8IUzdXHsaLISwxGAMoshpUkqvSMr2u6AUdQ689YCabmmvDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T05:09:02.973519Z"},"content_sha256":"cb84b6aa1c333ba604e4624b01f55824e2f902c9161a8e0b668e77f640068168","schema_version":"1.0","event_id":"sha256:cb84b6aa1c333ba604e4624b01f55824e2f902c9161a8e0b668e77f640068168"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7B7IAU7P33QCJOR46PZNPIWBGI/bundle.json","state_url":"https://pith.science/pith/7B7IAU7P33QCJOR46PZNPIWBGI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7B7IAU7P33QCJOR46PZNPIWBGI/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":"2026-05-31T05:09:02Z","links":{"resolver":"https://pith.science/pith/7B7IAU7P33QCJOR46PZNPIWBGI","bundle":"https://pith.science/pith/7B7IAU7P33QCJOR46PZNPIWBGI/bundle.json","state":"https://pith.science/pith/7B7IAU7P33QCJOR46PZNPIWBGI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7B7IAU7P33QCJOR46PZNPIWBGI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:7B7IAU7P33QCJOR46PZNPIWBGI","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":"b75c91115ea513d7b05f2e564f7d0b4196c9bfa5d679c66cc86f6a6d0d455d7c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2011-10-11T22:04:10Z","title_canon_sha256":"4cfe63f50344c838d4bc7ae4cdcac4ea44ef2c42c8297c342f306bf3d8a70da8"},"schema_version":"1.0","source":{"id":"1110.2518","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.2518","created_at":"2026-05-18T03:38:14Z"},{"alias_kind":"arxiv_version","alias_value":"1110.2518v3","created_at":"2026-05-18T03:38:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.2518","created_at":"2026-05-18T03:38:14Z"},{"alias_kind":"pith_short_12","alias_value":"7B7IAU7P33QC","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"7B7IAU7P33QCJOR4","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"7B7IAU7P","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:cb84b6aa1c333ba604e4624b01f55824e2f902c9161a8e0b668e77f640068168","target":"graph","created_at":"2026-05-18T03:38:14Z","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 show that in dimensions $>1$ the cohomology groups of the Higson compactification of the hyperbolic space $\\H^n$ with respect to the $C_0$ coarse structure are trivial.\n  Also we prove that the cohomology groups of the Higson compactification of $\\H^n$ for the bounded coarse structure are trivial in all even dimensions.","authors_text":"Alexander Dranishnikov, Thanos Gentimis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2011-10-11T22:04:10Z","title":"On cohomology of the Higson compactification of hyperbolic spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.2518","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":"sha256:8fb87d2ba98116e254128a81bed8dfef4108787cdd83c10f81fd5381b975aaca","target":"record","created_at":"2026-05-18T03:38:14Z","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":"b75c91115ea513d7b05f2e564f7d0b4196c9bfa5d679c66cc86f6a6d0d455d7c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2011-10-11T22:04:10Z","title_canon_sha256":"4cfe63f50344c838d4bc7ae4cdcac4ea44ef2c42c8297c342f306bf3d8a70da8"},"schema_version":"1.0","source":{"id":"1110.2518","kind":"arxiv","version":3}},"canonical_sha256":"f87e8053efdee024ba3cf3f2d7a2c132099e30567fcfaaebac9d8dba41ca5335","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f87e8053efdee024ba3cf3f2d7a2c132099e30567fcfaaebac9d8dba41ca5335","first_computed_at":"2026-05-18T03:38:14.409027Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:38:14.409027Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SDpWa13wQ42plmOqLwPjzGjwgD6PlfRjpT/7iRdAC2Lnl2aJn7CJ3N68Z1ymizWMoGu4+gw+kmuRR5yrUvZXAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:38:14.409677Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.2518","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8fb87d2ba98116e254128a81bed8dfef4108787cdd83c10f81fd5381b975aaca","sha256:cb84b6aa1c333ba604e4624b01f55824e2f902c9161a8e0b668e77f640068168"],"state_sha256":"f7663521ef2322416c759f20d5412b5e1ef1a1f231c5de4159a782625039ce56"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HLDewzR4XLtWexX8MD41jWt7F12r3OG+ay+TJ9adytt6X+4RoewhkwSgACofqPdtofZEbcvmLp1K2YsWN+hTCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T05:09:02.977279Z","bundle_sha256":"97dfe72e764c2606aa4628094fe4a363defd9f62dbd9e0757bcfe36c71c4a177"}}