{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:GLGFRS7RMU6UHALPTOWMZ7IG3V","short_pith_number":"pith:GLGFRS7R","canonical_record":{"source":{"id":"1101.1860","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-01-10T16:08:58Z","cross_cats_sorted":[],"title_canon_sha256":"0675b5f816f9e765e6e42863121916f3a4438d85cdf91a29735e77a053e05037","abstract_canon_sha256":"7243cd6bb447cfbfc58fae661ed5b9b4b6f33d3b684f5e76dc1e097d3de4c475"},"schema_version":"1.0"},"canonical_sha256":"32cc58cbf1653d43816f9bacccfd06dd4e35bb6aaf58f8e43e8b8a1799147a5c","source":{"kind":"arxiv","id":"1101.1860","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.1860","created_at":"2026-05-18T04:18:34Z"},{"alias_kind":"arxiv_version","alias_value":"1101.1860v2","created_at":"2026-05-18T04:18:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.1860","created_at":"2026-05-18T04:18:34Z"},{"alias_kind":"pith_short_12","alias_value":"GLGFRS7RMU6U","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"GLGFRS7RMU6UHALP","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"GLGFRS7R","created_at":"2026-05-18T12:26:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:GLGFRS7RMU6UHALPTOWMZ7IG3V","target":"record","payload":{"canonical_record":{"source":{"id":"1101.1860","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-01-10T16:08:58Z","cross_cats_sorted":[],"title_canon_sha256":"0675b5f816f9e765e6e42863121916f3a4438d85cdf91a29735e77a053e05037","abstract_canon_sha256":"7243cd6bb447cfbfc58fae661ed5b9b4b6f33d3b684f5e76dc1e097d3de4c475"},"schema_version":"1.0"},"canonical_sha256":"32cc58cbf1653d43816f9bacccfd06dd4e35bb6aaf58f8e43e8b8a1799147a5c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:18:34.574535Z","signature_b64":"S/vdIBAdraA467kdCuPEuFwpe+wEaclUFQLSsMuXpswnFzL9osE7cWfoYu7rrtzJw+yNoPtpeJQJEj4JW+IgDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"32cc58cbf1653d43816f9bacccfd06dd4e35bb6aaf58f8e43e8b8a1799147a5c","last_reissued_at":"2026-05-18T04:18:34.574044Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:18:34.574044Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1101.1860","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:18:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1is7F7HRh2S6YTbNz9C18EdNhUl2QlxeKHYuJSZ2UC+imgvbdTa6OPYX0k007U1F9kle9d06vsw6V+fy473mCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T03:39:01.180854Z"},"content_sha256":"83de7e88e97ceea9bfdc6aca771c24a522275febd634df369989315db4f61558","schema_version":"1.0","event_id":"sha256:83de7e88e97ceea9bfdc6aca771c24a522275febd634df369989315db4f61558"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:GLGFRS7RMU6UHALPTOWMZ7IG3V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"L2 d-bar cohomology groups of some singular complex spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Nils Ovrelid, Sophia Vassiliadou","submitted_at":"2011-01-10T16:08:58Z","abstract_excerpt":"Let X be a pure n-dimensional (n>1) complex analytic set in C^N with an isolated singularity at 0. In this paper we express the L2-(0,q)-d-bar-cohomology groups for all q with 0<q<n+1, of a sufficiently small deleted neighborhood of the singular point, in terms of resolution data. We also obtain identifications of the L2-(0,q)-d-bar-cohomology groups of the smooth points of X in terms of resolution data, when X is either compact or an open relatively compact complex analytic subset of a reduced complex space with finitely many isolated singularities."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.1860","kind":"arxiv","version":2},"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":"2026-05-18T04:18:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DfmHx4kknRYV3R44dN62g34MxIZ4yT8YSP71pt8Sdy15u/ji/x1V5ZIOAVZ7SJUMNaVRI9Pxmw61DmbUeF5LAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T03:39:01.181209Z"},"content_sha256":"f3c93816476afae375be910887ae53fc83990311d19216901b8cb7da5999f079","schema_version":"1.0","event_id":"sha256:f3c93816476afae375be910887ae53fc83990311d19216901b8cb7da5999f079"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GLGFRS7RMU6UHALPTOWMZ7IG3V/bundle.json","state_url":"https://pith.science/pith/GLGFRS7RMU6UHALPTOWMZ7IG3V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GLGFRS7RMU6UHALPTOWMZ7IG3V/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":"2026-06-01T03:39:01Z","links":{"resolver":"https://pith.science/pith/GLGFRS7RMU6UHALPTOWMZ7IG3V","bundle":"https://pith.science/pith/GLGFRS7RMU6UHALPTOWMZ7IG3V/bundle.json","state":"https://pith.science/pith/GLGFRS7RMU6UHALPTOWMZ7IG3V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GLGFRS7RMU6UHALPTOWMZ7IG3V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:GLGFRS7RMU6UHALPTOWMZ7IG3V","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":"7243cd6bb447cfbfc58fae661ed5b9b4b6f33d3b684f5e76dc1e097d3de4c475","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-01-10T16:08:58Z","title_canon_sha256":"0675b5f816f9e765e6e42863121916f3a4438d85cdf91a29735e77a053e05037"},"schema_version":"1.0","source":{"id":"1101.1860","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.1860","created_at":"2026-05-18T04:18:34Z"},{"alias_kind":"arxiv_version","alias_value":"1101.1860v2","created_at":"2026-05-18T04:18:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.1860","created_at":"2026-05-18T04:18:34Z"},{"alias_kind":"pith_short_12","alias_value":"GLGFRS7RMU6U","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"GLGFRS7RMU6UHALP","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"GLGFRS7R","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:f3c93816476afae375be910887ae53fc83990311d19216901b8cb7da5999f079","target":"graph","created_at":"2026-05-18T04:18:34Z","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":"Let X be a pure n-dimensional (n>1) complex analytic set in C^N with an isolated singularity at 0. In this paper we express the L2-(0,q)-d-bar-cohomology groups for all q with 0<q<n+1, of a sufficiently small deleted neighborhood of the singular point, in terms of resolution data. We also obtain identifications of the L2-(0,q)-d-bar-cohomology groups of the smooth points of X in terms of resolution data, when X is either compact or an open relatively compact complex analytic subset of a reduced complex space with finitely many isolated singularities.","authors_text":"Nils Ovrelid, Sophia Vassiliadou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-01-10T16:08:58Z","title":"L2 d-bar cohomology groups of some singular complex spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.1860","kind":"arxiv","version":2},"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":"sha256:83de7e88e97ceea9bfdc6aca771c24a522275febd634df369989315db4f61558","target":"record","created_at":"2026-05-18T04:18:34Z","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":"7243cd6bb447cfbfc58fae661ed5b9b4b6f33d3b684f5e76dc1e097d3de4c475","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-01-10T16:08:58Z","title_canon_sha256":"0675b5f816f9e765e6e42863121916f3a4438d85cdf91a29735e77a053e05037"},"schema_version":"1.0","source":{"id":"1101.1860","kind":"arxiv","version":2}},"canonical_sha256":"32cc58cbf1653d43816f9bacccfd06dd4e35bb6aaf58f8e43e8b8a1799147a5c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"32cc58cbf1653d43816f9bacccfd06dd4e35bb6aaf58f8e43e8b8a1799147a5c","first_computed_at":"2026-05-18T04:18:34.574044Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:18:34.574044Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"S/vdIBAdraA467kdCuPEuFwpe+wEaclUFQLSsMuXpswnFzL9osE7cWfoYu7rrtzJw+yNoPtpeJQJEj4JW+IgDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:18:34.574535Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.1860","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:83de7e88e97ceea9bfdc6aca771c24a522275febd634df369989315db4f61558","sha256:f3c93816476afae375be910887ae53fc83990311d19216901b8cb7da5999f079"],"state_sha256":"de474f878c3e9453613f32ec7d19ff517cf7c225bdb0ef0ec1339c7d8ca37f91"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wDVNLtXh6AtmhAJhIabPuRCiZHAhFIWbFNmLQXzcWAGyWH4KDieMqfgItMxrWNqTCbZKmpRabjM4i+7cIaS+DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T03:39:01.183300Z","bundle_sha256":"b05ca12708bc37d3e94703b14a2c1eaea90959e89f97842293f228e8c9a8db86"}}