{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:7JUGBBYYU6XT6LDYDJ77U5YDMM","short_pith_number":"pith:7JUGBBYY","canonical_record":{"source":{"id":"2005.01110","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2020-05-03T15:05:49Z","cross_cats_sorted":["math-ph","math.CT","math.MP"],"title_canon_sha256":"a80179cc49db531d338a5e7582a09f542fd6328f965c6d94c8d57d023a529852","abstract_canon_sha256":"7198336e6c611371688fc1909915c3d08dd6f23ed21abd925dbee16ebaf9591e"},"schema_version":"1.0"},"canonical_sha256":"fa68608718a7af3f2c781a7ffa7703630e4b286593d7ba290899bf865900b8f6","source":{"kind":"arxiv","id":"2005.01110","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2005.01110","created_at":"2026-07-05T01:00:04Z"},{"alias_kind":"arxiv_version","alias_value":"2005.01110v1","created_at":"2026-07-05T01:00:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2005.01110","created_at":"2026-07-05T01:00:04Z"},{"alias_kind":"pith_short_12","alias_value":"7JUGBBYYU6XT","created_at":"2026-07-05T01:00:04Z"},{"alias_kind":"pith_short_16","alias_value":"7JUGBBYYU6XT6LDY","created_at":"2026-07-05T01:00:04Z"},{"alias_kind":"pith_short_8","alias_value":"7JUGBBYY","created_at":"2026-07-05T01:00:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:7JUGBBYYU6XT6LDYDJ77U5YDMM","target":"record","payload":{"canonical_record":{"source":{"id":"2005.01110","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2020-05-03T15:05:49Z","cross_cats_sorted":["math-ph","math.CT","math.MP"],"title_canon_sha256":"a80179cc49db531d338a5e7582a09f542fd6328f965c6d94c8d57d023a529852","abstract_canon_sha256":"7198336e6c611371688fc1909915c3d08dd6f23ed21abd925dbee16ebaf9591e"},"schema_version":"1.0"},"canonical_sha256":"fa68608718a7af3f2c781a7ffa7703630e4b286593d7ba290899bf865900b8f6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:00:04.428687Z","signature_b64":"5ssb4eHBqGdr8tm2FUs6ikryIohgCCBIOU2mNO/FJ2RxvA7Zu+Y68JwipbPg4pPvgyEX8AD/ZjZl7mSeS0FSAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fa68608718a7af3f2c781a7ffa7703630e4b286593d7ba290899bf865900b8f6","last_reissued_at":"2026-07-05T01:00:04.428161Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:00:04.428161Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2005.01110","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":"2026-07-05T01:00:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KQb5e/rHYVkActbFoh8cR0pa/Y2szU6If860m/5zVQPVUOhY6ua8iadNnCy3f19sFD/FQn7TZNWUYb2uiAjxBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T11:50:42.963801Z"},"content_sha256":"d99f77c709f8d65b785cb1c650e142e7f57374c7021cb40b66b95f2a0974e91c","schema_version":"1.0","event_id":"sha256:d99f77c709f8d65b785cb1c650e142e7f57374c7021cb40b66b95f2a0974e91c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:7JUGBBYYU6XT6LDYDJ77U5YDMM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Transposed Poisson algebras, Novikov-Poisson algebras and 3-Lie algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.CT","math.MP"],"primary_cat":"math.QA","authors_text":"C. Bai, L. Guo, R. Bai, Y. Wu","submitted_at":"2020-05-03T15:05:49Z","abstract_excerpt":"We introduce a dual notion of the Poisson algebra by exchanging the roles of the two binary operations in the Leibniz rule defining the Poisson algebra. We show that the transposed Poisson algebra thus defined not only shares common properties of the Poisson algebra, including the closure under taking tensor products and the Koszul self-duality as an operad, but also admits a rich class of identities. More significantly, a transposed Poisson algebra naturally arises from a Novikov-Poisson algebra by taking the commutator Lie algebra of the Novikov algebra. Consequently, the classic constructio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2005.01110","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2005.01110/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T01:00:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0q2kWxb2tnaWyJraNfxxI2F6aL+PBpLh9Qq7VxHPouSet5LAPT+6edfjbyzopJWdWA2Rcp9UE+hbasn3z5bNAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T11:50:42.964179Z"},"content_sha256":"3ceb48395227750a827839c0da2823ae911863e6eb6859e96859b90d0b12722e","schema_version":"1.0","event_id":"sha256:3ceb48395227750a827839c0da2823ae911863e6eb6859e96859b90d0b12722e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7JUGBBYYU6XT6LDYDJ77U5YDMM/bundle.json","state_url":"https://pith.science/pith/7JUGBBYYU6XT6LDYDJ77U5YDMM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7JUGBBYYU6XT6LDYDJ77U5YDMM/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":"2026-07-05T11:50:42Z","links":{"resolver":"https://pith.science/pith/7JUGBBYYU6XT6LDYDJ77U5YDMM","bundle":"https://pith.science/pith/7JUGBBYYU6XT6LDYDJ77U5YDMM/bundle.json","state":"https://pith.science/pith/7JUGBBYYU6XT6LDYDJ77U5YDMM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7JUGBBYYU6XT6LDYDJ77U5YDMM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:7JUGBBYYU6XT6LDYDJ77U5YDMM","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":"7198336e6c611371688fc1909915c3d08dd6f23ed21abd925dbee16ebaf9591e","cross_cats_sorted":["math-ph","math.CT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2020-05-03T15:05:49Z","title_canon_sha256":"a80179cc49db531d338a5e7582a09f542fd6328f965c6d94c8d57d023a529852"},"schema_version":"1.0","source":{"id":"2005.01110","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2005.01110","created_at":"2026-07-05T01:00:04Z"},{"alias_kind":"arxiv_version","alias_value":"2005.01110v1","created_at":"2026-07-05T01:00:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2005.01110","created_at":"2026-07-05T01:00:04Z"},{"alias_kind":"pith_short_12","alias_value":"7JUGBBYYU6XT","created_at":"2026-07-05T01:00:04Z"},{"alias_kind":"pith_short_16","alias_value":"7JUGBBYYU6XT6LDY","created_at":"2026-07-05T01:00:04Z"},{"alias_kind":"pith_short_8","alias_value":"7JUGBBYY","created_at":"2026-07-05T01:00:04Z"}],"graph_snapshots":[{"event_id":"sha256:3ceb48395227750a827839c0da2823ae911863e6eb6859e96859b90d0b12722e","target":"graph","created_at":"2026-07-05T01:00:04Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2005.01110/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce a dual notion of the Poisson algebra by exchanging the roles of the two binary operations in the Leibniz rule defining the Poisson algebra. We show that the transposed Poisson algebra thus defined not only shares common properties of the Poisson algebra, including the closure under taking tensor products and the Koszul self-duality as an operad, but also admits a rich class of identities. More significantly, a transposed Poisson algebra naturally arises from a Novikov-Poisson algebra by taking the commutator Lie algebra of the Novikov algebra. Consequently, the classic constructio","authors_text":"C. Bai, L. Guo, R. Bai, Y. Wu","cross_cats":["math-ph","math.CT","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2020-05-03T15:05:49Z","title":"Transposed Poisson algebras, Novikov-Poisson algebras and 3-Lie algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2005.01110","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:d99f77c709f8d65b785cb1c650e142e7f57374c7021cb40b66b95f2a0974e91c","target":"record","created_at":"2026-07-05T01:00:04Z","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":"7198336e6c611371688fc1909915c3d08dd6f23ed21abd925dbee16ebaf9591e","cross_cats_sorted":["math-ph","math.CT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2020-05-03T15:05:49Z","title_canon_sha256":"a80179cc49db531d338a5e7582a09f542fd6328f965c6d94c8d57d023a529852"},"schema_version":"1.0","source":{"id":"2005.01110","kind":"arxiv","version":1}},"canonical_sha256":"fa68608718a7af3f2c781a7ffa7703630e4b286593d7ba290899bf865900b8f6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa68608718a7af3f2c781a7ffa7703630e4b286593d7ba290899bf865900b8f6","first_computed_at":"2026-07-05T01:00:04.428161Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:00:04.428161Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5ssb4eHBqGdr8tm2FUs6ikryIohgCCBIOU2mNO/FJ2RxvA7Zu+Y68JwipbPg4pPvgyEX8AD/ZjZl7mSeS0FSAg==","signature_status":"signed_v1","signed_at":"2026-07-05T01:00:04.428687Z","signed_message":"canonical_sha256_bytes"},"source_id":"2005.01110","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d99f77c709f8d65b785cb1c650e142e7f57374c7021cb40b66b95f2a0974e91c","sha256:3ceb48395227750a827839c0da2823ae911863e6eb6859e96859b90d0b12722e"],"state_sha256":"ce0fa3f9cf163d37430f297d75d14eeebeee5fcf8d66de076389cbc67da44929"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fbD78oTI0pmvnGEheWTImlIltrmKvieF6loNynTEvb96nQ/S4q7lpxAXQ+KqOJlHnz10CMJloJXEYncZXR2mCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T11:50:42.966122Z","bundle_sha256":"1341369c4429d6df3aa2713b8fab6262613846884b249d7de7dd1940c779c8ef"}}