{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:AP7HVVOEGF2UFFG74UTL7LLNEC","short_pith_number":"pith:AP7HVVOE","canonical_record":{"source":{"id":"1903.09577","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-03-22T16:06:48Z","cross_cats_sorted":[],"title_canon_sha256":"1c96680deef480a2db4607605fda356e49715f2c27b0d0f70b8f18adeaa36272","abstract_canon_sha256":"066a21c04a04ee6c642c5e03dff5764dde3bc5cbd8a13037223265844192537c"},"schema_version":"1.0"},"canonical_sha256":"03fe7ad5c431754294dfe526bfad6d2097f2b7514fd7bd736347ac4cc50cd4e8","source":{"kind":"arxiv","id":"1903.09577","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.09577","created_at":"2026-05-17T23:50:39Z"},{"alias_kind":"arxiv_version","alias_value":"1903.09577v1","created_at":"2026-05-17T23:50:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.09577","created_at":"2026-05-17T23:50:39Z"},{"alias_kind":"pith_short_12","alias_value":"AP7HVVOEGF2U","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"AP7HVVOEGF2UFFG7","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"AP7HVVOE","created_at":"2026-05-18T12:33:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:AP7HVVOEGF2UFFG74UTL7LLNEC","target":"record","payload":{"canonical_record":{"source":{"id":"1903.09577","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-03-22T16:06:48Z","cross_cats_sorted":[],"title_canon_sha256":"1c96680deef480a2db4607605fda356e49715f2c27b0d0f70b8f18adeaa36272","abstract_canon_sha256":"066a21c04a04ee6c642c5e03dff5764dde3bc5cbd8a13037223265844192537c"},"schema_version":"1.0"},"canonical_sha256":"03fe7ad5c431754294dfe526bfad6d2097f2b7514fd7bd736347ac4cc50cd4e8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:50:39.228372Z","signature_b64":"kaUfpfoMj46lkNVSeVjVpGbNvH6L13Aq2ywdXkv9agvKI4eskYNc4WBekRGkRDmgbgjpJGPmH8+m7Apz0cpSBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"03fe7ad5c431754294dfe526bfad6d2097f2b7514fd7bd736347ac4cc50cd4e8","last_reissued_at":"2026-05-17T23:50:39.227813Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:50:39.227813Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1903.09577","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":"2026-05-17T23:50:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lpsfyQdq7VzZBYTpTKtbxsN1UMl0ui53bC7ixrUqJGZsu0szS/es1XzSgyE/lDp4uDa4cegFkK0B+PtYr9vUDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T19:03:58.905099Z"},"content_sha256":"406ba3c627e1c062ee588a716046cbc44fa8b31e3e159705e97432d5761bed42","schema_version":"1.0","event_id":"sha256:406ba3c627e1c062ee588a716046cbc44fa8b31e3e159705e97432d5761bed42"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:AP7HVVOEGF2UFFG74UTL7LLNEC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Characterization of mixed n-Jordan homomorphisms and pseudo n-Jordan homomorphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Abasalt Bodaghi, Abbas Zivari-Kazempour, Masoumeh Neghabi","submitted_at":"2019-03-22T16:06:48Z","abstract_excerpt":"In this article, a new notion of $n$-Jordan homomorphism namely the mixed $n$-Jordan homomorphism is introduced. It is proved that how a mixed $(n+1)$-Jordan homomorphism can be a mixed $n$-Jordan homomorphism and vice versa. By means of some examples, it is shown that the mixed $n$-Jordan homomorphisma are different from the $n$-Jordan homomorphisms and the pseudo $n$-Jordan homomorphisms. As a consequence, it shown that every mixed Jordan homomorphism from Banach algebra $\\mathcal{A}$ into commutative semisimple Banach algebra $\\mathcal{B}$ is automatically continuous. Under some mild condit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.09577","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":"2026-05-17T23:50:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KZz0lCVRsstOCG+0q7oZcybT4E8TxyouZs1ySnejVPqwcdDb6kJDLz3bIJ7ul9Utgd4HNH9w02BQCKS49zSPBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T19:03:58.905723Z"},"content_sha256":"4bcaa3650acef2c500e6601aaeb2a92867fac9d99a34fc3aef23f94290c1272a","schema_version":"1.0","event_id":"sha256:4bcaa3650acef2c500e6601aaeb2a92867fac9d99a34fc3aef23f94290c1272a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AP7HVVOEGF2UFFG74UTL7LLNEC/bundle.json","state_url":"https://pith.science/pith/AP7HVVOEGF2UFFG74UTL7LLNEC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AP7HVVOEGF2UFFG74UTL7LLNEC/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":"2026-05-26T19:03:58Z","links":{"resolver":"https://pith.science/pith/AP7HVVOEGF2UFFG74UTL7LLNEC","bundle":"https://pith.science/pith/AP7HVVOEGF2UFFG74UTL7LLNEC/bundle.json","state":"https://pith.science/pith/AP7HVVOEGF2UFFG74UTL7LLNEC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AP7HVVOEGF2UFFG74UTL7LLNEC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:AP7HVVOEGF2UFFG74UTL7LLNEC","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":"066a21c04a04ee6c642c5e03dff5764dde3bc5cbd8a13037223265844192537c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-03-22T16:06:48Z","title_canon_sha256":"1c96680deef480a2db4607605fda356e49715f2c27b0d0f70b8f18adeaa36272"},"schema_version":"1.0","source":{"id":"1903.09577","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.09577","created_at":"2026-05-17T23:50:39Z"},{"alias_kind":"arxiv_version","alias_value":"1903.09577v1","created_at":"2026-05-17T23:50:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.09577","created_at":"2026-05-17T23:50:39Z"},{"alias_kind":"pith_short_12","alias_value":"AP7HVVOEGF2U","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"AP7HVVOEGF2UFFG7","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"AP7HVVOE","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:4bcaa3650acef2c500e6601aaeb2a92867fac9d99a34fc3aef23f94290c1272a","target":"graph","created_at":"2026-05-17T23:50:39Z","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, a new notion of $n$-Jordan homomorphism namely the mixed $n$-Jordan homomorphism is introduced. It is proved that how a mixed $(n+1)$-Jordan homomorphism can be a mixed $n$-Jordan homomorphism and vice versa. By means of some examples, it is shown that the mixed $n$-Jordan homomorphisma are different from the $n$-Jordan homomorphisms and the pseudo $n$-Jordan homomorphisms. As a consequence, it shown that every mixed Jordan homomorphism from Banach algebra $\\mathcal{A}$ into commutative semisimple Banach algebra $\\mathcal{B}$ is automatically continuous. Under some mild condit","authors_text":"Abasalt Bodaghi, Abbas Zivari-Kazempour, Masoumeh Neghabi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-03-22T16:06:48Z","title":"Characterization of mixed n-Jordan homomorphisms and pseudo n-Jordan homomorphisms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.09577","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":"sha256:406ba3c627e1c062ee588a716046cbc44fa8b31e3e159705e97432d5761bed42","target":"record","created_at":"2026-05-17T23:50:39Z","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":"066a21c04a04ee6c642c5e03dff5764dde3bc5cbd8a13037223265844192537c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-03-22T16:06:48Z","title_canon_sha256":"1c96680deef480a2db4607605fda356e49715f2c27b0d0f70b8f18adeaa36272"},"schema_version":"1.0","source":{"id":"1903.09577","kind":"arxiv","version":1}},"canonical_sha256":"03fe7ad5c431754294dfe526bfad6d2097f2b7514fd7bd736347ac4cc50cd4e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"03fe7ad5c431754294dfe526bfad6d2097f2b7514fd7bd736347ac4cc50cd4e8","first_computed_at":"2026-05-17T23:50:39.227813Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:50:39.227813Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kaUfpfoMj46lkNVSeVjVpGbNvH6L13Aq2ywdXkv9agvKI4eskYNc4WBekRGkRDmgbgjpJGPmH8+m7Apz0cpSBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:50:39.228372Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.09577","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:406ba3c627e1c062ee588a716046cbc44fa8b31e3e159705e97432d5761bed42","sha256:4bcaa3650acef2c500e6601aaeb2a92867fac9d99a34fc3aef23f94290c1272a"],"state_sha256":"6c5c6b766bf628c64d3b10dfe2f5c76098cce2d0bfb5ce79ef2428306c238be1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Eec5/4A4VcC622hVwivQf0tFQ7YWVKEzVlg7GTwHKYToLVzp1oTyrnYejxbGzbXwkZfDk94I+rY58/jmKJuOAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T19:03:58.911110Z","bundle_sha256":"7b7ab9bd5f4176f08d422554ad6a42371945f978a17a4235d5b778f53d37c658"}}