{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:ZOWE62FPJUB3VSBUCUS22RNX25","short_pith_number":"pith:ZOWE62FP","canonical_record":{"source":{"id":"1702.05611","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2017-02-18T13:29:01Z","cross_cats_sorted":[],"title_canon_sha256":"b6f7f64235f5c9cd80116f3d76d6383084b37e680892ac55b1ab6680cecb3bbc","abstract_canon_sha256":"e620b72c362bf1370164fe757a530d79f0ba6c70cd0416718b4cd0f1a95683cf"},"schema_version":"1.0"},"canonical_sha256":"cbac4f68af4d03bac8341525ad45b7d77b837ead13ee0ced04f0397cafd99f3a","source":{"kind":"arxiv","id":"1702.05611","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.05611","created_at":"2026-05-18T00:50:30Z"},{"alias_kind":"arxiv_version","alias_value":"1702.05611v1","created_at":"2026-05-18T00:50:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.05611","created_at":"2026-05-18T00:50:30Z"},{"alias_kind":"pith_short_12","alias_value":"ZOWE62FPJUB3","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZOWE62FPJUB3VSBU","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZOWE62FP","created_at":"2026-05-18T12:31:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:ZOWE62FPJUB3VSBUCUS22RNX25","target":"record","payload":{"canonical_record":{"source":{"id":"1702.05611","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2017-02-18T13:29:01Z","cross_cats_sorted":[],"title_canon_sha256":"b6f7f64235f5c9cd80116f3d76d6383084b37e680892ac55b1ab6680cecb3bbc","abstract_canon_sha256":"e620b72c362bf1370164fe757a530d79f0ba6c70cd0416718b4cd0f1a95683cf"},"schema_version":"1.0"},"canonical_sha256":"cbac4f68af4d03bac8341525ad45b7d77b837ead13ee0ced04f0397cafd99f3a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:30.262868Z","signature_b64":"Jdip3dt/ZjYTxzca0ZatPJWyTDfdbevwgja5aZDEvoCX6oBmwKMF9/IV9UoB3RjrdJMPqVR+jKKRxi1zZwc/Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cbac4f68af4d03bac8341525ad45b7d77b837ead13ee0ced04f0397cafd99f3a","last_reissued_at":"2026-05-18T00:50:30.262299Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:30.262299Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.05611","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":"2026-05-18T00:50:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dHaVG+ihrt4S27YNdqVYm99b4CwAx4XofHEh3ARF6G+0bGr/345DA84JcaTIAQFuYlcb32fjkmtqrJN9SIzIAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T16:32:49.180294Z"},"content_sha256":"1184f789c4ba1b0f76dbef4ea816c7c5d6014fbf404a8ee50e650aec8fba6694","schema_version":"1.0","event_id":"sha256:1184f789c4ba1b0f76dbef4ea816c7c5d6014fbf404a8ee50e650aec8fba6694"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:ZOWE62FPJUB3VSBUCUS22RNX25","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stability of Fredholm property for regular operators on Hilbert $C^*$-modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Marzieh Forough","submitted_at":"2017-02-18T13:29:01Z","abstract_excerpt":"We study the stability of Fredholm property for regular operators on Hilbert $C^*$-modules under some certain perturbations. We treat this problem when perturbing operators are (relatively) bounded or relatively compact. We also consider the perturbations of regular Fredholm operators in terms of the gap metric. In particular, we prove that the space of all regular Fredholm operators on a Hilbert $C^*$-module $E$ is open in the space of all regular operators on $E$ with respect to the gap metric. As an application, we construct some continuous paths of selfadjoint regular Fredholm operators wi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.05611","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":"2026-05-18T00:50:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QDacKEkINA4JMTm1V0rBrezLKgz3Xb1eYAfdFXDhzCkcg7aAkbKfX+9M8IQHLlXSQtQbzcHOeJwa98aaSAmuAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T16:32:49.180986Z"},"content_sha256":"5e029b2c7d7be1237e7df3ae4409a75041c8c78152ee96c215b5e997b4cef0db","schema_version":"1.0","event_id":"sha256:5e029b2c7d7be1237e7df3ae4409a75041c8c78152ee96c215b5e997b4cef0db"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZOWE62FPJUB3VSBUCUS22RNX25/bundle.json","state_url":"https://pith.science/pith/ZOWE62FPJUB3VSBUCUS22RNX25/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZOWE62FPJUB3VSBUCUS22RNX25/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":"2026-05-26T16:32:49Z","links":{"resolver":"https://pith.science/pith/ZOWE62FPJUB3VSBUCUS22RNX25","bundle":"https://pith.science/pith/ZOWE62FPJUB3VSBUCUS22RNX25/bundle.json","state":"https://pith.science/pith/ZOWE62FPJUB3VSBUCUS22RNX25/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZOWE62FPJUB3VSBUCUS22RNX25/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ZOWE62FPJUB3VSBUCUS22RNX25","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":"e620b72c362bf1370164fe757a530d79f0ba6c70cd0416718b4cd0f1a95683cf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2017-02-18T13:29:01Z","title_canon_sha256":"b6f7f64235f5c9cd80116f3d76d6383084b37e680892ac55b1ab6680cecb3bbc"},"schema_version":"1.0","source":{"id":"1702.05611","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.05611","created_at":"2026-05-18T00:50:30Z"},{"alias_kind":"arxiv_version","alias_value":"1702.05611v1","created_at":"2026-05-18T00:50:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.05611","created_at":"2026-05-18T00:50:30Z"},{"alias_kind":"pith_short_12","alias_value":"ZOWE62FPJUB3","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZOWE62FPJUB3VSBU","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZOWE62FP","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:5e029b2c7d7be1237e7df3ae4409a75041c8c78152ee96c215b5e997b4cef0db","target":"graph","created_at":"2026-05-18T00:50:30Z","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 study the stability of Fredholm property for regular operators on Hilbert $C^*$-modules under some certain perturbations. We treat this problem when perturbing operators are (relatively) bounded or relatively compact. We also consider the perturbations of regular Fredholm operators in terms of the gap metric. In particular, we prove that the space of all regular Fredholm operators on a Hilbert $C^*$-module $E$ is open in the space of all regular operators on $E$ with respect to the gap metric. As an application, we construct some continuous paths of selfadjoint regular Fredholm operators wi","authors_text":"Marzieh Forough","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2017-02-18T13:29:01Z","title":"Stability of Fredholm property for regular operators on Hilbert $C^*$-modules"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.05611","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":"sha256:1184f789c4ba1b0f76dbef4ea816c7c5d6014fbf404a8ee50e650aec8fba6694","target":"record","created_at":"2026-05-18T00:50:30Z","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":"e620b72c362bf1370164fe757a530d79f0ba6c70cd0416718b4cd0f1a95683cf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2017-02-18T13:29:01Z","title_canon_sha256":"b6f7f64235f5c9cd80116f3d76d6383084b37e680892ac55b1ab6680cecb3bbc"},"schema_version":"1.0","source":{"id":"1702.05611","kind":"arxiv","version":1}},"canonical_sha256":"cbac4f68af4d03bac8341525ad45b7d77b837ead13ee0ced04f0397cafd99f3a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cbac4f68af4d03bac8341525ad45b7d77b837ead13ee0ced04f0397cafd99f3a","first_computed_at":"2026-05-18T00:50:30.262299Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:30.262299Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Jdip3dt/ZjYTxzca0ZatPJWyTDfdbevwgja5aZDEvoCX6oBmwKMF9/IV9UoB3RjrdJMPqVR+jKKRxi1zZwc/Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:30.262868Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.05611","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1184f789c4ba1b0f76dbef4ea816c7c5d6014fbf404a8ee50e650aec8fba6694","sha256:5e029b2c7d7be1237e7df3ae4409a75041c8c78152ee96c215b5e997b4cef0db"],"state_sha256":"c67db5c88aad81d3cc83ee11e857fe7cb1de179b7988667c292991e565c24f69"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HJHbQuQ9QngPusJz1dkKAfgnbnkfsyq4CjCAH6X8xfxQaAfYZ409mxOTG4DPTiOVGwW2GmQy9yqkHmfwEGB8DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T16:32:49.184521Z","bundle_sha256":"f417f3ca41df16e16f8cb07a350b6e93966ab52f497b091fc2f8e0c3df598438"}}