{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:J5YOPNQVBZT4BUSJBJLPDZGFUT","short_pith_number":"pith:J5YOPNQV","canonical_record":{"source":{"id":"1405.3836","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-05-15T14:53:07Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"ee0f21b30a55bd6cd45ae0ba214e969cc294b9370fb10bacc41d7ec5d4e3798b","abstract_canon_sha256":"b4807952c7d60deda996b5ea5d4e13a49095644ba7b4f771a4bd862c9692a98a"},"schema_version":"1.0"},"canonical_sha256":"4f70e7b6150e67c0d2490a56f1e4c5a4c05c1d3f1e2543c14f3e9b6919b18c79","source":{"kind":"arxiv","id":"1405.3836","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.3836","created_at":"2026-05-18T02:51:49Z"},{"alias_kind":"arxiv_version","alias_value":"1405.3836v1","created_at":"2026-05-18T02:51:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.3836","created_at":"2026-05-18T02:51:49Z"},{"alias_kind":"pith_short_12","alias_value":"J5YOPNQVBZT4","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"J5YOPNQVBZT4BUSJ","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"J5YOPNQV","created_at":"2026-05-18T12:28:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:J5YOPNQVBZT4BUSJBJLPDZGFUT","target":"record","payload":{"canonical_record":{"source":{"id":"1405.3836","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-05-15T14:53:07Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"ee0f21b30a55bd6cd45ae0ba214e969cc294b9370fb10bacc41d7ec5d4e3798b","abstract_canon_sha256":"b4807952c7d60deda996b5ea5d4e13a49095644ba7b4f771a4bd862c9692a98a"},"schema_version":"1.0"},"canonical_sha256":"4f70e7b6150e67c0d2490a56f1e4c5a4c05c1d3f1e2543c14f3e9b6919b18c79","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:51:49.206330Z","signature_b64":"sf8sGTxVVY7yhGbB2gAxkwC5qhWSm1J6u1vjuKXgiu1xhjV+WdsOtRfztz8NON/T9fWhLQZL+kLJ1ZNZ1LNqCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4f70e7b6150e67c0d2490a56f1e4c5a4c05c1d3f1e2543c14f3e9b6919b18c79","last_reissued_at":"2026-05-18T02:51:49.205943Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:51:49.205943Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.3836","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":"2026-05-18T02:51:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s9r99i/zSkCm7hDsG2a+MC3XawrGLe/slWaqI46y96z7DbZvhQ+sx9atdyz6K8K9lD190jE/Ql93PfM+KWjBAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T02:33:40.899447Z"},"content_sha256":"347429b13d795abf779d77932046282d36dc22780373936647aa8c5420810943","schema_version":"1.0","event_id":"sha256:347429b13d795abf779d77932046282d36dc22780373936647aa8c5420810943"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:J5YOPNQVBZT4BUSJBJLPDZGFUT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"2-local triple homomorphisms on von Neumann algebras and JBW$^*$-triples","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.OA","authors_text":"Antonio M. Peralta, Francisco J. Fern\\'andez-Polo, Jorge J. Garc\\'es, Maria Burgos","submitted_at":"2014-05-15T14:53:07Z","abstract_excerpt":"We prove that every (not necessarily linear nor continuous) 2-local triple homomorphism from a JBW$^*$-triple into a JB$^*$-triple is linear and a triple homomorphism. Consequently, every 2-local triple homomorphism from a von Neumann algebra (respectively, from a JBW$^*$-algebra) into a C$^*$-algebra (respectively, into a JB$^*$-algebra) is linear and a triple homomorphism."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.3836","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":"2026-05-18T02:51:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cdEokFlSkTUwYvzEc5smvTG8WvzN76T/s+57tgT13GTKNrHiKU2+DRjke7w64cb64IqkGTewWpMnKkBebkG+BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T02:33:40.899790Z"},"content_sha256":"327d2cfd5aaf7709a192fea3647f96a95023c8b666cdc548670712e98cd7501c","schema_version":"1.0","event_id":"sha256:327d2cfd5aaf7709a192fea3647f96a95023c8b666cdc548670712e98cd7501c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J5YOPNQVBZT4BUSJBJLPDZGFUT/bundle.json","state_url":"https://pith.science/pith/J5YOPNQVBZT4BUSJBJLPDZGFUT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J5YOPNQVBZT4BUSJBJLPDZGFUT/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":"2026-06-27T02:33:40Z","links":{"resolver":"https://pith.science/pith/J5YOPNQVBZT4BUSJBJLPDZGFUT","bundle":"https://pith.science/pith/J5YOPNQVBZT4BUSJBJLPDZGFUT/bundle.json","state":"https://pith.science/pith/J5YOPNQVBZT4BUSJBJLPDZGFUT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J5YOPNQVBZT4BUSJBJLPDZGFUT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:J5YOPNQVBZT4BUSJBJLPDZGFUT","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":"b4807952c7d60deda996b5ea5d4e13a49095644ba7b4f771a4bd862c9692a98a","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-05-15T14:53:07Z","title_canon_sha256":"ee0f21b30a55bd6cd45ae0ba214e969cc294b9370fb10bacc41d7ec5d4e3798b"},"schema_version":"1.0","source":{"id":"1405.3836","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.3836","created_at":"2026-05-18T02:51:49Z"},{"alias_kind":"arxiv_version","alias_value":"1405.3836v1","created_at":"2026-05-18T02:51:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.3836","created_at":"2026-05-18T02:51:49Z"},{"alias_kind":"pith_short_12","alias_value":"J5YOPNQVBZT4","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"J5YOPNQVBZT4BUSJ","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"J5YOPNQV","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:327d2cfd5aaf7709a192fea3647f96a95023c8b666cdc548670712e98cd7501c","target":"graph","created_at":"2026-05-18T02:51:49Z","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 prove that every (not necessarily linear nor continuous) 2-local triple homomorphism from a JBW$^*$-triple into a JB$^*$-triple is linear and a triple homomorphism. Consequently, every 2-local triple homomorphism from a von Neumann algebra (respectively, from a JBW$^*$-algebra) into a C$^*$-algebra (respectively, into a JB$^*$-algebra) is linear and a triple homomorphism.","authors_text":"Antonio M. Peralta, Francisco J. Fern\\'andez-Polo, Jorge J. Garc\\'es, Maria Burgos","cross_cats":["math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-05-15T14:53:07Z","title":"2-local triple homomorphisms on von Neumann algebras and JBW$^*$-triples"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.3836","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":"sha256:347429b13d795abf779d77932046282d36dc22780373936647aa8c5420810943","target":"record","created_at":"2026-05-18T02:51:49Z","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":"b4807952c7d60deda996b5ea5d4e13a49095644ba7b4f771a4bd862c9692a98a","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-05-15T14:53:07Z","title_canon_sha256":"ee0f21b30a55bd6cd45ae0ba214e969cc294b9370fb10bacc41d7ec5d4e3798b"},"schema_version":"1.0","source":{"id":"1405.3836","kind":"arxiv","version":1}},"canonical_sha256":"4f70e7b6150e67c0d2490a56f1e4c5a4c05c1d3f1e2543c14f3e9b6919b18c79","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4f70e7b6150e67c0d2490a56f1e4c5a4c05c1d3f1e2543c14f3e9b6919b18c79","first_computed_at":"2026-05-18T02:51:49.205943Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:51:49.205943Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sf8sGTxVVY7yhGbB2gAxkwC5qhWSm1J6u1vjuKXgiu1xhjV+WdsOtRfztz8NON/T9fWhLQZL+kLJ1ZNZ1LNqCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:51:49.206330Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.3836","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:347429b13d795abf779d77932046282d36dc22780373936647aa8c5420810943","sha256:327d2cfd5aaf7709a192fea3647f96a95023c8b666cdc548670712e98cd7501c"],"state_sha256":"1b2f8499666d251ee59511cf7ca92781526d89bf25a6dbbd5c943c442dedbe2a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K3YfMKJDu9KmGdc8yZBfvkgpMdphg4zxb3qBh2pH4VZYbPVbIlppBI9+EnIvSUCn0VAb8aOHZC0XpyVgdmKzDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T02:33:40.901720Z","bundle_sha256":"07e1de3740962aba97f201bb5b6cbb338b7921dc2a9584521df9866d86315023"}}