{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:EXBYLMWZZYUULGQ6L6XYFZHMZK","short_pith_number":"pith:EXBYLMWZ","canonical_record":{"source":{"id":"0711.4379","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.KT","submitted_at":"2007-11-27T22:44:33Z","cross_cats_sorted":["math.AP","math.OA"],"title_canon_sha256":"0a6ebf34ccff6dd65c32e237aeb72523cb059d92ebfadcef29133573a265c0b0","abstract_canon_sha256":"2945720c1da3695c303d0e106f397d13648c64b47e0abff2c5ad61bb986ca87c"},"schema_version":"1.0"},"canonical_sha256":"25c385b2d9ce29459a1e5faf82e4ecca83e736d4a0e9d127673502ede5b1d497","source":{"kind":"arxiv","id":"0711.4379","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0711.4379","created_at":"2026-05-18T04:09:35Z"},{"alias_kind":"arxiv_version","alias_value":"0711.4379v1","created_at":"2026-05-18T04:09:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0711.4379","created_at":"2026-05-18T04:09:35Z"},{"alias_kind":"pith_short_12","alias_value":"EXBYLMWZZYUU","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"EXBYLMWZZYUULGQ6","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"EXBYLMWZ","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:EXBYLMWZZYUULGQ6L6XYFZHMZK","target":"record","payload":{"canonical_record":{"source":{"id":"0711.4379","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.KT","submitted_at":"2007-11-27T22:44:33Z","cross_cats_sorted":["math.AP","math.OA"],"title_canon_sha256":"0a6ebf34ccff6dd65c32e237aeb72523cb059d92ebfadcef29133573a265c0b0","abstract_canon_sha256":"2945720c1da3695c303d0e106f397d13648c64b47e0abff2c5ad61bb986ca87c"},"schema_version":"1.0"},"canonical_sha256":"25c385b2d9ce29459a1e5faf82e4ecca83e736d4a0e9d127673502ede5b1d497","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:09:35.416300Z","signature_b64":"5Sl5mdTOv8EfyjmeADe9GyyNXdrsyjrIZvBbpPz8FAf8K7gMznrr4mLcSnRXN2Xtu9RXEoPQvLQ03D81DKEOBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"25c385b2d9ce29459a1e5faf82e4ecca83e736d4a0e9d127673502ede5b1d497","last_reissued_at":"2026-05-18T04:09:35.415806Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:09:35.415806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0711.4379","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":"2026-05-18T04:09:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6YIOJvQnHuYI570pa1aYZtuuRjlLZa4TlNt0PeDP9QmSKaL9oj9XPE2zOFBuIyYZzbn2eXvXIR4paIzvgms1BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T05:28:39.745011Z"},"content_sha256":"a2febbd8d51e32c958f115691ca5296be556253186c0f37ced7329d84b8e65d6","schema_version":"1.0","event_id":"sha256:a2febbd8d51e32c958f115691ca5296be556253186c0f37ced7329d84b8e65d6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:EXBYLMWZZYUULGQ6L6XYFZHMZK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Poincare isomorphism in K-theory on manifolds with edges","license":"","headline":"","cross_cats":["math.AP","math.OA"],"primary_cat":"math.KT","authors_text":"A.Yu. Savin, B.Yu. Sternin, V.E. Nazaikinskii","submitted_at":"2007-11-27T22:44:33Z","abstract_excerpt":"The aim of this paper is to construct the Poincare isomorphism in K-theory on manifolds with edges. We show that the Poincare isomorphism can naturally be constructed in the framework of noncommutative geometry. More precisely, to a manifold with edges we assign a noncommutative algebra and construct an isomorphism between the K-group of this algebra and the K-homology group of the manifold with edges viewed as a compact topological space."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0711.4379","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":"2026-05-18T04:09:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mRgC+3uKi+ravLW65b7Qthl3gnbfczcS1Xwtuh41gGOiycVs8LXwVIX5knit0u9N3bo3YJLBu+SAA36LYHRYBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T05:28:39.745793Z"},"content_sha256":"91e2d078d9557a9cdc6d4e61550f3b9ecb77b5ce8c83591ae6db7b3e1af0af95","schema_version":"1.0","event_id":"sha256:91e2d078d9557a9cdc6d4e61550f3b9ecb77b5ce8c83591ae6db7b3e1af0af95"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EXBYLMWZZYUULGQ6L6XYFZHMZK/bundle.json","state_url":"https://pith.science/pith/EXBYLMWZZYUULGQ6L6XYFZHMZK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EXBYLMWZZYUULGQ6L6XYFZHMZK/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":"2026-05-31T05:28:39Z","links":{"resolver":"https://pith.science/pith/EXBYLMWZZYUULGQ6L6XYFZHMZK","bundle":"https://pith.science/pith/EXBYLMWZZYUULGQ6L6XYFZHMZK/bundle.json","state":"https://pith.science/pith/EXBYLMWZZYUULGQ6L6XYFZHMZK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EXBYLMWZZYUULGQ6L6XYFZHMZK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:EXBYLMWZZYUULGQ6L6XYFZHMZK","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":"2945720c1da3695c303d0e106f397d13648c64b47e0abff2c5ad61bb986ca87c","cross_cats_sorted":["math.AP","math.OA"],"license":"","primary_cat":"math.KT","submitted_at":"2007-11-27T22:44:33Z","title_canon_sha256":"0a6ebf34ccff6dd65c32e237aeb72523cb059d92ebfadcef29133573a265c0b0"},"schema_version":"1.0","source":{"id":"0711.4379","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0711.4379","created_at":"2026-05-18T04:09:35Z"},{"alias_kind":"arxiv_version","alias_value":"0711.4379v1","created_at":"2026-05-18T04:09:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0711.4379","created_at":"2026-05-18T04:09:35Z"},{"alias_kind":"pith_short_12","alias_value":"EXBYLMWZZYUU","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"EXBYLMWZZYUULGQ6","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"EXBYLMWZ","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:91e2d078d9557a9cdc6d4e61550f3b9ecb77b5ce8c83591ae6db7b3e1af0af95","target":"graph","created_at":"2026-05-18T04:09:35Z","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":"The aim of this paper is to construct the Poincare isomorphism in K-theory on manifolds with edges. We show that the Poincare isomorphism can naturally be constructed in the framework of noncommutative geometry. More precisely, to a manifold with edges we assign a noncommutative algebra and construct an isomorphism between the K-group of this algebra and the K-homology group of the manifold with edges viewed as a compact topological space.","authors_text":"A.Yu. Savin, B.Yu. Sternin, V.E. Nazaikinskii","cross_cats":["math.AP","math.OA"],"headline":"","license":"","primary_cat":"math.KT","submitted_at":"2007-11-27T22:44:33Z","title":"Poincare isomorphism in K-theory on manifolds with edges"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0711.4379","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:a2febbd8d51e32c958f115691ca5296be556253186c0f37ced7329d84b8e65d6","target":"record","created_at":"2026-05-18T04:09:35Z","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":"2945720c1da3695c303d0e106f397d13648c64b47e0abff2c5ad61bb986ca87c","cross_cats_sorted":["math.AP","math.OA"],"license":"","primary_cat":"math.KT","submitted_at":"2007-11-27T22:44:33Z","title_canon_sha256":"0a6ebf34ccff6dd65c32e237aeb72523cb059d92ebfadcef29133573a265c0b0"},"schema_version":"1.0","source":{"id":"0711.4379","kind":"arxiv","version":1}},"canonical_sha256":"25c385b2d9ce29459a1e5faf82e4ecca83e736d4a0e9d127673502ede5b1d497","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"25c385b2d9ce29459a1e5faf82e4ecca83e736d4a0e9d127673502ede5b1d497","first_computed_at":"2026-05-18T04:09:35.415806Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:09:35.415806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5Sl5mdTOv8EfyjmeADe9GyyNXdrsyjrIZvBbpPz8FAf8K7gMznrr4mLcSnRXN2Xtu9RXEoPQvLQ03D81DKEOBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:09:35.416300Z","signed_message":"canonical_sha256_bytes"},"source_id":"0711.4379","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a2febbd8d51e32c958f115691ca5296be556253186c0f37ced7329d84b8e65d6","sha256:91e2d078d9557a9cdc6d4e61550f3b9ecb77b5ce8c83591ae6db7b3e1af0af95"],"state_sha256":"8c6c6c17afa9bade8d0fb2a12dd2d7c579538d72fe0d50d1447aa3de00c792ce"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v/Xm9x2RWihLN1FaxUF/MKm22KfYEDLZH5ZPmMCnZ5T7Jb5CaTI//pT/9YaBhqFWICz5tbHUzTeQFZBvcjUZDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T05:28:39.749326Z","bundle_sha256":"2dbd692a52f2c3554d57c51dff84c5b0b99b61166ba2837333d38eb4980acca4"}}