{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:2RW23M6B72YGHUA5LTIN7SIHJD","short_pith_number":"pith:2RW23M6B","canonical_record":{"source":{"id":"1407.8104","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-07-30T15:50:39Z","cross_cats_sorted":[],"title_canon_sha256":"b7557c7c713ecd1ed5633c7cb15c4304e8b61a2854e23bfe1335d065da480ffa","abstract_canon_sha256":"e9688186e452dbe72027ab85b0497c27a7792feb5f4b82119c14180d6a717bf1"},"schema_version":"1.0"},"canonical_sha256":"d46dadb3c1feb063d01d5cd0dfc90748da4af5f0c46fea075c596378f5678c8e","source":{"kind":"arxiv","id":"1407.8104","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.8104","created_at":"2026-05-18T01:26:25Z"},{"alias_kind":"arxiv_version","alias_value":"1407.8104v1","created_at":"2026-05-18T01:26:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.8104","created_at":"2026-05-18T01:26:25Z"},{"alias_kind":"pith_short_12","alias_value":"2RW23M6B72YG","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"2RW23M6B72YGHUA5","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"2RW23M6B","created_at":"2026-05-18T12:28:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:2RW23M6B72YGHUA5LTIN7SIHJD","target":"record","payload":{"canonical_record":{"source":{"id":"1407.8104","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-07-30T15:50:39Z","cross_cats_sorted":[],"title_canon_sha256":"b7557c7c713ecd1ed5633c7cb15c4304e8b61a2854e23bfe1335d065da480ffa","abstract_canon_sha256":"e9688186e452dbe72027ab85b0497c27a7792feb5f4b82119c14180d6a717bf1"},"schema_version":"1.0"},"canonical_sha256":"d46dadb3c1feb063d01d5cd0dfc90748da4af5f0c46fea075c596378f5678c8e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:26:25.613200Z","signature_b64":"fgI7Y9oPYzB4qq+01SIUOQI1QevdNgm4jxmgjNZ6xR3ni1YFqubzSVz57qmsXHxCarDum5CcX0/dySWbcyCbAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d46dadb3c1feb063d01d5cd0dfc90748da4af5f0c46fea075c596378f5678c8e","last_reissued_at":"2026-05-18T01:26:25.612670Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:26:25.612670Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.8104","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":"2026-05-18T01:26:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ens68TrCbFyltlip+uidqxKVZawFc83trXx7BnQg8OzIZ+bscwkcq/EIFHiW4JXBCL3FmZDNR0P35fISoEopDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T23:04:50.168821Z"},"content_sha256":"ae153664556ff6fd7973cdb23b486eb783bbe1cdde11ee2b475d577c6f412a06","schema_version":"1.0","event_id":"sha256:ae153664556ff6fd7973cdb23b486eb783bbe1cdde11ee2b475d577c6f412a06"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:2RW23M6B72YGHUA5LTIN7SIHJD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Semi-Fredholm Band-Dominated Operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Markus Seidel","submitted_at":"2014-07-30T15:50:39Z","abstract_excerpt":"In this paper we study the semi-Fredholm property of band-dominated operators $A$ and prove that it already implies the Fredholmness of $A$ in all cases where this is not disqualified by obvious reasons. Moreover, this observation is applied to show that the Fredholmness of a band-dominated operator already follows from the surjectivity of all its limit operators."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.8104","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":"2026-05-18T01:26:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gv6tSLl6i4Ns3LJCsPfz7ETBcM4FW2C+OZiy48SZqA7EJz3MGUAQpxgsWlda4+wThNxMWVXRo5XsdrRHAyqGAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T23:04:50.169513Z"},"content_sha256":"c48c2ef826c7388ef6cde670103edac327685f974b33666b9c0f532a5249d0d0","schema_version":"1.0","event_id":"sha256:c48c2ef826c7388ef6cde670103edac327685f974b33666b9c0f532a5249d0d0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2RW23M6B72YGHUA5LTIN7SIHJD/bundle.json","state_url":"https://pith.science/pith/2RW23M6B72YGHUA5LTIN7SIHJD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2RW23M6B72YGHUA5LTIN7SIHJD/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":"2026-06-11T23:04:50Z","links":{"resolver":"https://pith.science/pith/2RW23M6B72YGHUA5LTIN7SIHJD","bundle":"https://pith.science/pith/2RW23M6B72YGHUA5LTIN7SIHJD/bundle.json","state":"https://pith.science/pith/2RW23M6B72YGHUA5LTIN7SIHJD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2RW23M6B72YGHUA5LTIN7SIHJD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:2RW23M6B72YGHUA5LTIN7SIHJD","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":"e9688186e452dbe72027ab85b0497c27a7792feb5f4b82119c14180d6a717bf1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-07-30T15:50:39Z","title_canon_sha256":"b7557c7c713ecd1ed5633c7cb15c4304e8b61a2854e23bfe1335d065da480ffa"},"schema_version":"1.0","source":{"id":"1407.8104","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.8104","created_at":"2026-05-18T01:26:25Z"},{"alias_kind":"arxiv_version","alias_value":"1407.8104v1","created_at":"2026-05-18T01:26:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.8104","created_at":"2026-05-18T01:26:25Z"},{"alias_kind":"pith_short_12","alias_value":"2RW23M6B72YG","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"2RW23M6B72YGHUA5","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"2RW23M6B","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:c48c2ef826c7388ef6cde670103edac327685f974b33666b9c0f532a5249d0d0","target":"graph","created_at":"2026-05-18T01:26:25Z","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 paper we study the semi-Fredholm property of band-dominated operators $A$ and prove that it already implies the Fredholmness of $A$ in all cases where this is not disqualified by obvious reasons. Moreover, this observation is applied to show that the Fredholmness of a band-dominated operator already follows from the surjectivity of all its limit operators.","authors_text":"Markus Seidel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-07-30T15:50:39Z","title":"On Semi-Fredholm Band-Dominated Operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.8104","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:ae153664556ff6fd7973cdb23b486eb783bbe1cdde11ee2b475d577c6f412a06","target":"record","created_at":"2026-05-18T01:26:25Z","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":"e9688186e452dbe72027ab85b0497c27a7792feb5f4b82119c14180d6a717bf1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-07-30T15:50:39Z","title_canon_sha256":"b7557c7c713ecd1ed5633c7cb15c4304e8b61a2854e23bfe1335d065da480ffa"},"schema_version":"1.0","source":{"id":"1407.8104","kind":"arxiv","version":1}},"canonical_sha256":"d46dadb3c1feb063d01d5cd0dfc90748da4af5f0c46fea075c596378f5678c8e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d46dadb3c1feb063d01d5cd0dfc90748da4af5f0c46fea075c596378f5678c8e","first_computed_at":"2026-05-18T01:26:25.612670Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:26:25.612670Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fgI7Y9oPYzB4qq+01SIUOQI1QevdNgm4jxmgjNZ6xR3ni1YFqubzSVz57qmsXHxCarDum5CcX0/dySWbcyCbAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:26:25.613200Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.8104","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ae153664556ff6fd7973cdb23b486eb783bbe1cdde11ee2b475d577c6f412a06","sha256:c48c2ef826c7388ef6cde670103edac327685f974b33666b9c0f532a5249d0d0"],"state_sha256":"71c7b5a4fea33a3e7d35c25f987bf27eb3b1a9eb66f4e01f7e5d50adde62771d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CqXeaBIz/2Ak6mp478kl0ooTF5ruOSLw0YXbWLBkrYgcyPU9ppFPNNrCz7wXJZc6P1+bGoTZRxgOZSMm67eABQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T23:04:50.173479Z","bundle_sha256":"8bb3f81b1e874a6d4f154f656d4579a53df641580f5e5a6a3c428ddd1c69a18e"}}