{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:577KG7NKGQ2AH2RJNYLIL734MW","short_pith_number":"pith:577KG7NK","canonical_record":{"source":{"id":"1609.06509","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-09-21T11:48:32Z","cross_cats_sorted":[],"title_canon_sha256":"4fcdd2abb1f3afe2877c10a305672e679527627241c8fda51596e3ff75e2c112","abstract_canon_sha256":"9f401b123b2be4e1753180945315b1a0add3587bd66375ac3abb7a0b2627ac17"},"schema_version":"1.0"},"canonical_sha256":"effea37daa343403ea296e1685ff7c65a0b8e6610cb5e0a3ed67ca07616d2644","source":{"kind":"arxiv","id":"1609.06509","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.06509","created_at":"2026-05-18T01:04:08Z"},{"alias_kind":"arxiv_version","alias_value":"1609.06509v1","created_at":"2026-05-18T01:04:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.06509","created_at":"2026-05-18T01:04:08Z"},{"alias_kind":"pith_short_12","alias_value":"577KG7NKGQ2A","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"577KG7NKGQ2AH2RJ","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"577KG7NK","created_at":"2026-05-18T12:29:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:577KG7NKGQ2AH2RJNYLIL734MW","target":"record","payload":{"canonical_record":{"source":{"id":"1609.06509","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-09-21T11:48:32Z","cross_cats_sorted":[],"title_canon_sha256":"4fcdd2abb1f3afe2877c10a305672e679527627241c8fda51596e3ff75e2c112","abstract_canon_sha256":"9f401b123b2be4e1753180945315b1a0add3587bd66375ac3abb7a0b2627ac17"},"schema_version":"1.0"},"canonical_sha256":"effea37daa343403ea296e1685ff7c65a0b8e6610cb5e0a3ed67ca07616d2644","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:08.070671Z","signature_b64":"RMMSaUTCXWwhGcuCiFHzI5RiEOhPe5FJXcjsQHwBkSDNvmRaHovT2R6xg0PXI0nGJN9ahUi2NGQz18Abbai0Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"effea37daa343403ea296e1685ff7c65a0b8e6610cb5e0a3ed67ca07616d2644","last_reissued_at":"2026-05-18T01:04:08.070010Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:08.070010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.06509","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":"2026-05-18T01:04:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rS9qHF3UmgJWCrLjO22YH9O5EjV9Nto1zwWhpN4O3unLKYNdme+xQltfGXtu1yoDaT5gETEkN8xxb6ImJv4xCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T23:36:52.495763Z"},"content_sha256":"4ccfc03ab7ad34b895176f37244119478b1a7a42ba16dff46025266f6b9fc4a9","schema_version":"1.0","event_id":"sha256:4ccfc03ab7ad34b895176f37244119478b1a7a42ba16dff46025266f6b9fc4a9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:577KG7NKGQ2AH2RJNYLIL734MW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An Indecomposable and unconditionally saturated Banach space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"A. Manoussakis, Spiros A. Argyros","submitted_at":"2016-09-21T11:48:32Z","abstract_excerpt":"We construct an indecomposable reflexive Banach space $X_{ius}$ such that every infinite dimensional closed subspace contains an unconditional basic sequence. We also show that every operator $T\\in \\mathcal{B}(X_{ius})$ is of the form $\\lambda I+S$ with $S$ a strictly singular operator."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.06509","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":"2026-05-18T01:04:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"buXS1AjIfap4kIjRmYW7IA+w+DCjR92wIFIYV781FI8XZ//rp2gn7uKUIF5k700MpffI6lkQwKZIfK3RO6txAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T23:36:52.496513Z"},"content_sha256":"9ebe198fc2213c239fc9ff40ef128a67a44ffd89ad0eb3d8604bbdf1df3fe977","schema_version":"1.0","event_id":"sha256:9ebe198fc2213c239fc9ff40ef128a67a44ffd89ad0eb3d8604bbdf1df3fe977"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/577KG7NKGQ2AH2RJNYLIL734MW/bundle.json","state_url":"https://pith.science/pith/577KG7NKGQ2AH2RJNYLIL734MW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/577KG7NKGQ2AH2RJNYLIL734MW/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":"2026-05-28T23:36:52Z","links":{"resolver":"https://pith.science/pith/577KG7NKGQ2AH2RJNYLIL734MW","bundle":"https://pith.science/pith/577KG7NKGQ2AH2RJNYLIL734MW/bundle.json","state":"https://pith.science/pith/577KG7NKGQ2AH2RJNYLIL734MW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/577KG7NKGQ2AH2RJNYLIL734MW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:577KG7NKGQ2AH2RJNYLIL734MW","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":"9f401b123b2be4e1753180945315b1a0add3587bd66375ac3abb7a0b2627ac17","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-09-21T11:48:32Z","title_canon_sha256":"4fcdd2abb1f3afe2877c10a305672e679527627241c8fda51596e3ff75e2c112"},"schema_version":"1.0","source":{"id":"1609.06509","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.06509","created_at":"2026-05-18T01:04:08Z"},{"alias_kind":"arxiv_version","alias_value":"1609.06509v1","created_at":"2026-05-18T01:04:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.06509","created_at":"2026-05-18T01:04:08Z"},{"alias_kind":"pith_short_12","alias_value":"577KG7NKGQ2A","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"577KG7NKGQ2AH2RJ","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"577KG7NK","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:9ebe198fc2213c239fc9ff40ef128a67a44ffd89ad0eb3d8604bbdf1df3fe977","target":"graph","created_at":"2026-05-18T01:04:08Z","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 construct an indecomposable reflexive Banach space $X_{ius}$ such that every infinite dimensional closed subspace contains an unconditional basic sequence. We also show that every operator $T\\in \\mathcal{B}(X_{ius})$ is of the form $\\lambda I+S$ with $S$ a strictly singular operator.","authors_text":"A. Manoussakis, Spiros A. Argyros","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-09-21T11:48:32Z","title":"An Indecomposable and unconditionally saturated Banach space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.06509","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":"sha256:4ccfc03ab7ad34b895176f37244119478b1a7a42ba16dff46025266f6b9fc4a9","target":"record","created_at":"2026-05-18T01:04:08Z","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":"9f401b123b2be4e1753180945315b1a0add3587bd66375ac3abb7a0b2627ac17","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-09-21T11:48:32Z","title_canon_sha256":"4fcdd2abb1f3afe2877c10a305672e679527627241c8fda51596e3ff75e2c112"},"schema_version":"1.0","source":{"id":"1609.06509","kind":"arxiv","version":1}},"canonical_sha256":"effea37daa343403ea296e1685ff7c65a0b8e6610cb5e0a3ed67ca07616d2644","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"effea37daa343403ea296e1685ff7c65a0b8e6610cb5e0a3ed67ca07616d2644","first_computed_at":"2026-05-18T01:04:08.070010Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:08.070010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RMMSaUTCXWwhGcuCiFHzI5RiEOhPe5FJXcjsQHwBkSDNvmRaHovT2R6xg0PXI0nGJN9ahUi2NGQz18Abbai0Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:08.070671Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.06509","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ccfc03ab7ad34b895176f37244119478b1a7a42ba16dff46025266f6b9fc4a9","sha256:9ebe198fc2213c239fc9ff40ef128a67a44ffd89ad0eb3d8604bbdf1df3fe977"],"state_sha256":"2dad5c00283b34c6fdc67869272eb871e0a8c310a35b575cb170a564a2198f4b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RYuZJI8I76m+zv3Po57SQIn3crCyxoFicTMHZl8hZRbtEpyX0ILUdDLOqo3PZIkm7n5F3jCQ4D5EDKVhwN//Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T23:36:52.500256Z","bundle_sha256":"3cc6c155bce25f8b4b768259382d2bcb31ee07529a3a08546e1bac4abbc3b569"}}