{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:3Z2ETCFEQBFXGEWQQAOJRGIRYO","short_pith_number":"pith:3Z2ETCFE","canonical_record":{"source":{"id":"1403.3663","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-03-14T18:25:04Z","cross_cats_sorted":[],"title_canon_sha256":"116311385325023dd9df4ca7a574668557300dde62089be41646259b8ecf52cf","abstract_canon_sha256":"1033dd4ab83d09e4dbbb9b36c45b89f6a13f612b8880b6cbd26dc80da3ab29b3"},"schema_version":"1.0"},"canonical_sha256":"de744988a4804b7312d0801c989911c3b4c78ff5e7a3796c07840b9421457374","source":{"kind":"arxiv","id":"1403.3663","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.3663","created_at":"2026-05-18T02:56:19Z"},{"alias_kind":"arxiv_version","alias_value":"1403.3663v1","created_at":"2026-05-18T02:56:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.3663","created_at":"2026-05-18T02:56:19Z"},{"alias_kind":"pith_short_12","alias_value":"3Z2ETCFEQBFX","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3Z2ETCFEQBFXGEWQ","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3Z2ETCFE","created_at":"2026-05-18T12:28:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:3Z2ETCFEQBFXGEWQQAOJRGIRYO","target":"record","payload":{"canonical_record":{"source":{"id":"1403.3663","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-03-14T18:25:04Z","cross_cats_sorted":[],"title_canon_sha256":"116311385325023dd9df4ca7a574668557300dde62089be41646259b8ecf52cf","abstract_canon_sha256":"1033dd4ab83d09e4dbbb9b36c45b89f6a13f612b8880b6cbd26dc80da3ab29b3"},"schema_version":"1.0"},"canonical_sha256":"de744988a4804b7312d0801c989911c3b4c78ff5e7a3796c07840b9421457374","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:56:19.750082Z","signature_b64":"Rk9KHWlGIP8QHEDE9sHrEyQ4utbZsk8skJQSjuR1sNAwWzCl6x+NfM3avKzBkZFlWieyphQD+hfmrZSIZmTZCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de744988a4804b7312d0801c989911c3b4c78ff5e7a3796c07840b9421457374","last_reissued_at":"2026-05-18T02:56:19.749474Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:56:19.749474Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.3663","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":"2026-05-18T02:56:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/dy2HriCB1dskAiIiw7S1UgFTSdP686xGUN/U3k3Xn7Bm8pUOmKnpYcbKvlwHxscHeD1YVn0vn31YQRWXbPzAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T23:18:02.487303Z"},"content_sha256":"0a4f167822eaaf60ec67d756b56d18b07e1dba37e33bdda96b7d358f61cbec2e","schema_version":"1.0","event_id":"sha256:0a4f167822eaaf60ec67d756b56d18b07e1dba37e33bdda96b7d358f61cbec2e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:3Z2ETCFEQBFXGEWQQAOJRGIRYO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Isolated spectral points and Koliha-Drazin invertible elements in quotient Banach algebras and homomorphism ranges","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Enrico Boasso","submitted_at":"2014-03-14T18:25:04Z","abstract_excerpt":"In this article poles, isolated spectral points, group, Drazin and Koliha-Drazin invertible elements in the context of quotient Banach algebras or in ranges of (not necessarily continuous) homomorphism between complex unital Banach algebras will be characterized using Fredholm and Riesz Banach algebra elements. Calkin algebras on Banach and Hilbert spaces will be also considered."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.3663","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":"2026-05-18T02:56:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+CgR6+KtCWgDAG6/zW9HbjqjHMqflDYI9ZDch04oVD0sRTsr1PHTaQE3GK+ICVB3Uuf+wZhFTviyeNZ5OqFwAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T23:18:02.487660Z"},"content_sha256":"546f43148348a260e08e7ef5735e357c380a9c4d112b754cf08a00f6f9f08e8c","schema_version":"1.0","event_id":"sha256:546f43148348a260e08e7ef5735e357c380a9c4d112b754cf08a00f6f9f08e8c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3Z2ETCFEQBFXGEWQQAOJRGIRYO/bundle.json","state_url":"https://pith.science/pith/3Z2ETCFEQBFXGEWQQAOJRGIRYO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3Z2ETCFEQBFXGEWQQAOJRGIRYO/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":"2026-06-20T23:18:02Z","links":{"resolver":"https://pith.science/pith/3Z2ETCFEQBFXGEWQQAOJRGIRYO","bundle":"https://pith.science/pith/3Z2ETCFEQBFXGEWQQAOJRGIRYO/bundle.json","state":"https://pith.science/pith/3Z2ETCFEQBFXGEWQQAOJRGIRYO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3Z2ETCFEQBFXGEWQQAOJRGIRYO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:3Z2ETCFEQBFXGEWQQAOJRGIRYO","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":"1033dd4ab83d09e4dbbb9b36c45b89f6a13f612b8880b6cbd26dc80da3ab29b3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-03-14T18:25:04Z","title_canon_sha256":"116311385325023dd9df4ca7a574668557300dde62089be41646259b8ecf52cf"},"schema_version":"1.0","source":{"id":"1403.3663","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.3663","created_at":"2026-05-18T02:56:19Z"},{"alias_kind":"arxiv_version","alias_value":"1403.3663v1","created_at":"2026-05-18T02:56:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.3663","created_at":"2026-05-18T02:56:19Z"},{"alias_kind":"pith_short_12","alias_value":"3Z2ETCFEQBFX","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3Z2ETCFEQBFXGEWQ","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3Z2ETCFE","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:546f43148348a260e08e7ef5735e357c380a9c4d112b754cf08a00f6f9f08e8c","target":"graph","created_at":"2026-05-18T02:56:19Z","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":"In this article poles, isolated spectral points, group, Drazin and Koliha-Drazin invertible elements in the context of quotient Banach algebras or in ranges of (not necessarily continuous) homomorphism between complex unital Banach algebras will be characterized using Fredholm and Riesz Banach algebra elements. Calkin algebras on Banach and Hilbert spaces will be also considered.","authors_text":"Enrico Boasso","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-03-14T18:25:04Z","title":"Isolated spectral points and Koliha-Drazin invertible elements in quotient Banach algebras and homomorphism ranges"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.3663","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":"sha256:0a4f167822eaaf60ec67d756b56d18b07e1dba37e33bdda96b7d358f61cbec2e","target":"record","created_at":"2026-05-18T02:56:19Z","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":"1033dd4ab83d09e4dbbb9b36c45b89f6a13f612b8880b6cbd26dc80da3ab29b3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-03-14T18:25:04Z","title_canon_sha256":"116311385325023dd9df4ca7a574668557300dde62089be41646259b8ecf52cf"},"schema_version":"1.0","source":{"id":"1403.3663","kind":"arxiv","version":1}},"canonical_sha256":"de744988a4804b7312d0801c989911c3b4c78ff5e7a3796c07840b9421457374","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"de744988a4804b7312d0801c989911c3b4c78ff5e7a3796c07840b9421457374","first_computed_at":"2026-05-18T02:56:19.749474Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:19.749474Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Rk9KHWlGIP8QHEDE9sHrEyQ4utbZsk8skJQSjuR1sNAwWzCl6x+NfM3avKzBkZFlWieyphQD+hfmrZSIZmTZCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:19.750082Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.3663","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0a4f167822eaaf60ec67d756b56d18b07e1dba37e33bdda96b7d358f61cbec2e","sha256:546f43148348a260e08e7ef5735e357c380a9c4d112b754cf08a00f6f9f08e8c"],"state_sha256":"9ddf6963bf7ea61591e1451c42b467ede987433525f1c8f8effe0549bfa42cda"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"40BlVxRR4PQb9hqfWwRCB8c+gaugR4Bdk82dgnAC/G1JGJpgZ6/ZBbQE08q3cm5YOO7A2N7YWO4VYT25w2teDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T23:18:02.489477Z","bundle_sha256":"482bb047131468693d0e174f99ea2a5c2c204ee30afb4f0e151c02a5876d44c1"}}