{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:LDN5Y4NARQOWH2IDLZ2LAY2HDK","short_pith_number":"pith:LDN5Y4NA","canonical_record":{"source":{"id":"1601.07827","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2016-01-28T16:47:12Z","cross_cats_sorted":[],"title_canon_sha256":"bc7ab95721d656a53f41cc91712d3fb4cad7aad90259113ce33df164a7769d94","abstract_canon_sha256":"410e4624fd907a9d90e15931b064efb51010d277d6413ed5fd4eb7b8f7a2de0a"},"schema_version":"1.0"},"canonical_sha256":"58dbdc71a08c1d63e9035e74b063471a9bcbc0748c8c5ae99e80f19d7c7ea239","source":{"kind":"arxiv","id":"1601.07827","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.07827","created_at":"2026-05-18T01:21:42Z"},{"alias_kind":"arxiv_version","alias_value":"1601.07827v1","created_at":"2026-05-18T01:21:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.07827","created_at":"2026-05-18T01:21:42Z"},{"alias_kind":"pith_short_12","alias_value":"LDN5Y4NARQOW","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LDN5Y4NARQOWH2ID","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LDN5Y4NA","created_at":"2026-05-18T12:30:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:LDN5Y4NARQOWH2IDLZ2LAY2HDK","target":"record","payload":{"canonical_record":{"source":{"id":"1601.07827","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2016-01-28T16:47:12Z","cross_cats_sorted":[],"title_canon_sha256":"bc7ab95721d656a53f41cc91712d3fb4cad7aad90259113ce33df164a7769d94","abstract_canon_sha256":"410e4624fd907a9d90e15931b064efb51010d277d6413ed5fd4eb7b8f7a2de0a"},"schema_version":"1.0"},"canonical_sha256":"58dbdc71a08c1d63e9035e74b063471a9bcbc0748c8c5ae99e80f19d7c7ea239","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:42.178158Z","signature_b64":"FoeBSxBHDCf8Gkhv2c8hukxrx2btURsUh3SrTnv2xpq5ST8+XWe69Y+/XMo8a4wVmgc2Gjf6blp1ALhk3PseAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"58dbdc71a08c1d63e9035e74b063471a9bcbc0748c8c5ae99e80f19d7c7ea239","last_reissued_at":"2026-05-18T01:21:42.177737Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:42.177737Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.07827","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":"2026-05-18T01:21:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0R9Z4eraZGlvcePr5uuIZrX2CNX12Rr8lLxpzI4RxLXZ562dXHoAl8iDq/I+wCX4nXlrv+tV9iudCsb+LcnPAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T06:37:40.279408Z"},"content_sha256":"e63262cbf191044e8e13028b5a05f7120ec6b48c643ca6b06a94406f06407aae","schema_version":"1.0","event_id":"sha256:e63262cbf191044e8e13028b5a05f7120ec6b48c643ca6b06a94406f06407aae"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:LDN5Y4NARQOWH2IDLZ2LAY2HDK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A non-abelian Hom-Leibniz tensor product and applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"E. Khmaladze, J. M. Casas, N. Pacheco Rego","submitted_at":"2016-01-28T16:47:12Z","abstract_excerpt":"The notion of non-abelian Hom-Leibniz tensor product is introduced and some properties are established. This tensor product is used in the description of the universal ($\\alpha$-)central extensions of Hom-Leibniz algebras. We also give its application to the Hochschild homology of Hom-associative algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.07827","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":"2026-05-18T01:21:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Sel6NMVrJqVOHjYiHZ6/ssPPGdXaK5vHFKbpJTQG7ZlP+7vN/lP2bSWaBujj0cWMynXw/1ue54iE6BMAk9gkAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T06:37:40.279745Z"},"content_sha256":"fa63ebbb0e30cad314c08b867c788cdd9b86606dee2ffc7170e7d628c8748bb5","schema_version":"1.0","event_id":"sha256:fa63ebbb0e30cad314c08b867c788cdd9b86606dee2ffc7170e7d628c8748bb5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LDN5Y4NARQOWH2IDLZ2LAY2HDK/bundle.json","state_url":"https://pith.science/pith/LDN5Y4NARQOWH2IDLZ2LAY2HDK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LDN5Y4NARQOWH2IDLZ2LAY2HDK/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":"2026-06-29T06:37:40Z","links":{"resolver":"https://pith.science/pith/LDN5Y4NARQOWH2IDLZ2LAY2HDK","bundle":"https://pith.science/pith/LDN5Y4NARQOWH2IDLZ2LAY2HDK/bundle.json","state":"https://pith.science/pith/LDN5Y4NARQOWH2IDLZ2LAY2HDK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LDN5Y4NARQOWH2IDLZ2LAY2HDK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:LDN5Y4NARQOWH2IDLZ2LAY2HDK","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":"410e4624fd907a9d90e15931b064efb51010d277d6413ed5fd4eb7b8f7a2de0a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2016-01-28T16:47:12Z","title_canon_sha256":"bc7ab95721d656a53f41cc91712d3fb4cad7aad90259113ce33df164a7769d94"},"schema_version":"1.0","source":{"id":"1601.07827","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.07827","created_at":"2026-05-18T01:21:42Z"},{"alias_kind":"arxiv_version","alias_value":"1601.07827v1","created_at":"2026-05-18T01:21:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.07827","created_at":"2026-05-18T01:21:42Z"},{"alias_kind":"pith_short_12","alias_value":"LDN5Y4NARQOW","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LDN5Y4NARQOWH2ID","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LDN5Y4NA","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:fa63ebbb0e30cad314c08b867c788cdd9b86606dee2ffc7170e7d628c8748bb5","target":"graph","created_at":"2026-05-18T01:21:42Z","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 notion of non-abelian Hom-Leibniz tensor product is introduced and some properties are established. This tensor product is used in the description of the universal ($\\alpha$-)central extensions of Hom-Leibniz algebras. We also give its application to the Hochschild homology of Hom-associative algebras.","authors_text":"E. Khmaladze, J. M. Casas, N. Pacheco Rego","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2016-01-28T16:47:12Z","title":"A non-abelian Hom-Leibniz tensor product and applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.07827","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:e63262cbf191044e8e13028b5a05f7120ec6b48c643ca6b06a94406f06407aae","target":"record","created_at":"2026-05-18T01:21:42Z","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":"410e4624fd907a9d90e15931b064efb51010d277d6413ed5fd4eb7b8f7a2de0a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2016-01-28T16:47:12Z","title_canon_sha256":"bc7ab95721d656a53f41cc91712d3fb4cad7aad90259113ce33df164a7769d94"},"schema_version":"1.0","source":{"id":"1601.07827","kind":"arxiv","version":1}},"canonical_sha256":"58dbdc71a08c1d63e9035e74b063471a9bcbc0748c8c5ae99e80f19d7c7ea239","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"58dbdc71a08c1d63e9035e74b063471a9bcbc0748c8c5ae99e80f19d7c7ea239","first_computed_at":"2026-05-18T01:21:42.177737Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:42.177737Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FoeBSxBHDCf8Gkhv2c8hukxrx2btURsUh3SrTnv2xpq5ST8+XWe69Y+/XMo8a4wVmgc2Gjf6blp1ALhk3PseAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:42.178158Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.07827","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e63262cbf191044e8e13028b5a05f7120ec6b48c643ca6b06a94406f06407aae","sha256:fa63ebbb0e30cad314c08b867c788cdd9b86606dee2ffc7170e7d628c8748bb5"],"state_sha256":"aaeb714cc5fec2b6d9e73bd5283cb770f71bb62d34fede8f271ccf365a1d74df"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f1y6wuGFLYYJ0Pv5p8eTGSSz6X84tdUxusdbzhfBQS9yI0ytqc1QvHV5IRvGO2XlZPyuDcxOy2cTglfGpLuWBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T06:37:40.281525Z","bundle_sha256":"d9cfb9b178183fe62b4e2d7b9a709a52b8b33fd189a235e3b8028c5bad6dcdec"}}