{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:C3EWZVDI4NMCEYVIYOMATMYKEE","short_pith_number":"pith:C3EWZVDI","canonical_record":{"source":{"id":"1410.2181","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-10-08T16:06:01Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"31eba22b0d245ce98887872a27735ff39354d8f659cd411adc165dce417ace1e","abstract_canon_sha256":"e8650ecf2aff5743951930f17f668e842ab77eecd2b6a524b0fc17cf1d6dc5f8"},"schema_version":"1.0"},"canonical_sha256":"16c96cd468e3582262a8c39809b30a212c540671dc00c9d3aa024a79598606cd","source":{"kind":"arxiv","id":"1410.2181","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.2181","created_at":"2026-05-18T02:40:48Z"},{"alias_kind":"arxiv_version","alias_value":"1410.2181v1","created_at":"2026-05-18T02:40:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.2181","created_at":"2026-05-18T02:40:48Z"},{"alias_kind":"pith_short_12","alias_value":"C3EWZVDI4NMC","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"C3EWZVDI4NMCEYVI","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"C3EWZVDI","created_at":"2026-05-18T12:28:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:C3EWZVDI4NMCEYVIYOMATMYKEE","target":"record","payload":{"canonical_record":{"source":{"id":"1410.2181","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-10-08T16:06:01Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"31eba22b0d245ce98887872a27735ff39354d8f659cd411adc165dce417ace1e","abstract_canon_sha256":"e8650ecf2aff5743951930f17f668e842ab77eecd2b6a524b0fc17cf1d6dc5f8"},"schema_version":"1.0"},"canonical_sha256":"16c96cd468e3582262a8c39809b30a212c540671dc00c9d3aa024a79598606cd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:40:48.032176Z","signature_b64":"bM7dzsDGU5CP33T8rW1E+d7VnE0SmiCNkFoOTWuYfRjq7d/F49eLXF0JJ2Lx6VtqTBM8fAPKcXPlsFnubhY5DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16c96cd468e3582262a8c39809b30a212c540671dc00c9d3aa024a79598606cd","last_reissued_at":"2026-05-18T02:40:48.031748Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:40:48.031748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1410.2181","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":"2026-05-18T02:40:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jQ0f4KglFTI6lyp615opnldxpMp4oZ5Ii7QCLjBKTc6bByLo0rV0uvGoQ146CAinGdRakksH3ppmvjjWWFkTBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T05:03:51.503567Z"},"content_sha256":"bfa48dcd96bfae9eeb2f8d5e7911227ac503b794e24bea2ba8496f553802be18","schema_version":"1.0","event_id":"sha256:bfa48dcd96bfae9eeb2f8d5e7911227ac503b794e24bea2ba8496f553802be18"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:C3EWZVDI4NMCEYVIYOMATMYKEE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-Commutative ternary Nambu-Poisson algebras and ternary Hom-Nambu-Poisson algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.RA","authors_text":"Abdenacer Makhlouf, Hanene Amri","submitted_at":"2014-10-08T16:06:01Z","abstract_excerpt":"The main purpose of this paper is to study non-commutative ternary Nambu-Poisson algebras and their Hom-type version. We provide construction results dealing with tensor product and direct sums of two (non-commutative) ternary (Hom-)Nambu-Poisson algebras. Moreover, we explore twisting principle of (non-commutative) ternary Nambu-Poisson algebras along with an algebra morphism that lead to construct (non-commutative) ternary Hom-Nambu-Poisson algebras. Furthermore, we provide examples and a 3-dimensional classification of non-commutative ternary Nambu-Poisson algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.2181","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":"2026-05-18T02:40:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U+757dpLKEpwvbvUqYAD4kfrbPyzkiKzrrS69G4sq5Wl5b3N/zFBXoDS6rGnaW/8j6q6We48n0NIuad6NGCNDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T05:03:51.503964Z"},"content_sha256":"70bed9f67b1b879e90f4ed2ab9a10d971e712a33957dde8edb002fb5aae68603","schema_version":"1.0","event_id":"sha256:70bed9f67b1b879e90f4ed2ab9a10d971e712a33957dde8edb002fb5aae68603"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C3EWZVDI4NMCEYVIYOMATMYKEE/bundle.json","state_url":"https://pith.science/pith/C3EWZVDI4NMCEYVIYOMATMYKEE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C3EWZVDI4NMCEYVIYOMATMYKEE/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":"2026-06-02T05:03:51Z","links":{"resolver":"https://pith.science/pith/C3EWZVDI4NMCEYVIYOMATMYKEE","bundle":"https://pith.science/pith/C3EWZVDI4NMCEYVIYOMATMYKEE/bundle.json","state":"https://pith.science/pith/C3EWZVDI4NMCEYVIYOMATMYKEE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C3EWZVDI4NMCEYVIYOMATMYKEE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:C3EWZVDI4NMCEYVIYOMATMYKEE","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":"e8650ecf2aff5743951930f17f668e842ab77eecd2b6a524b0fc17cf1d6dc5f8","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-10-08T16:06:01Z","title_canon_sha256":"31eba22b0d245ce98887872a27735ff39354d8f659cd411adc165dce417ace1e"},"schema_version":"1.0","source":{"id":"1410.2181","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.2181","created_at":"2026-05-18T02:40:48Z"},{"alias_kind":"arxiv_version","alias_value":"1410.2181v1","created_at":"2026-05-18T02:40:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.2181","created_at":"2026-05-18T02:40:48Z"},{"alias_kind":"pith_short_12","alias_value":"C3EWZVDI4NMC","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"C3EWZVDI4NMCEYVI","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"C3EWZVDI","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:70bed9f67b1b879e90f4ed2ab9a10d971e712a33957dde8edb002fb5aae68603","target":"graph","created_at":"2026-05-18T02:40:48Z","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":"The main purpose of this paper is to study non-commutative ternary Nambu-Poisson algebras and their Hom-type version. We provide construction results dealing with tensor product and direct sums of two (non-commutative) ternary (Hom-)Nambu-Poisson algebras. Moreover, we explore twisting principle of (non-commutative) ternary Nambu-Poisson algebras along with an algebra morphism that lead to construct (non-commutative) ternary Hom-Nambu-Poisson algebras. Furthermore, we provide examples and a 3-dimensional classification of non-commutative ternary Nambu-Poisson algebras.","authors_text":"Abdenacer Makhlouf, Hanene Amri","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-10-08T16:06:01Z","title":"Non-Commutative ternary Nambu-Poisson algebras and ternary Hom-Nambu-Poisson algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.2181","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:bfa48dcd96bfae9eeb2f8d5e7911227ac503b794e24bea2ba8496f553802be18","target":"record","created_at":"2026-05-18T02:40:48Z","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":"e8650ecf2aff5743951930f17f668e842ab77eecd2b6a524b0fc17cf1d6dc5f8","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-10-08T16:06:01Z","title_canon_sha256":"31eba22b0d245ce98887872a27735ff39354d8f659cd411adc165dce417ace1e"},"schema_version":"1.0","source":{"id":"1410.2181","kind":"arxiv","version":1}},"canonical_sha256":"16c96cd468e3582262a8c39809b30a212c540671dc00c9d3aa024a79598606cd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16c96cd468e3582262a8c39809b30a212c540671dc00c9d3aa024a79598606cd","first_computed_at":"2026-05-18T02:40:48.031748Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:40:48.031748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bM7dzsDGU5CP33T8rW1E+d7VnE0SmiCNkFoOTWuYfRjq7d/F49eLXF0JJ2Lx6VtqTBM8fAPKcXPlsFnubhY5DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:40:48.032176Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.2181","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bfa48dcd96bfae9eeb2f8d5e7911227ac503b794e24bea2ba8496f553802be18","sha256:70bed9f67b1b879e90f4ed2ab9a10d971e712a33957dde8edb002fb5aae68603"],"state_sha256":"723df7def2e7c5094709179e6a800e59e839cb38cbf1bc368ee0f70354818cca"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HQvzlKuFcK4z4cI/w58reSpqX3i4HRC21/9gVYEn52LAQwb6AjwpSBS5VkmLk/wwiE59rFDc5bY60Xtgl6H+CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T05:03:51.505921Z","bundle_sha256":"a05f0e8378660fd3d3ddbf0c6cf4a2aa9f20793b7d7404e48e9ecb3cf4abb9a2"}}