{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:KBI7OVOYIBLQBIEETSQBV43PR5","short_pith_number":"pith:KBI7OVOY","canonical_record":{"source":{"id":"1810.04798","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-10-10T11:15:12Z","cross_cats_sorted":[],"title_canon_sha256":"6dde489fff1023cc6fe8327f59d829f5503d06cdfd2d876713dd04b14e02a025","abstract_canon_sha256":"bd3de6b72c688a585af01c376086f9480b8579caae3de3b1ccdf4162323f69ee"},"schema_version":"1.0"},"canonical_sha256":"5051f755d8405700a0849ca01af36f8f566994fb7b5548cc1b919aea9e252a8c","source":{"kind":"arxiv","id":"1810.04798","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.04798","created_at":"2026-05-18T00:03:35Z"},{"alias_kind":"arxiv_version","alias_value":"1810.04798v1","created_at":"2026-05-18T00:03:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.04798","created_at":"2026-05-18T00:03:35Z"},{"alias_kind":"pith_short_12","alias_value":"KBI7OVOYIBLQ","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"KBI7OVOYIBLQBIEE","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"KBI7OVOY","created_at":"2026-05-18T12:32:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:KBI7OVOYIBLQBIEETSQBV43PR5","target":"record","payload":{"canonical_record":{"source":{"id":"1810.04798","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-10-10T11:15:12Z","cross_cats_sorted":[],"title_canon_sha256":"6dde489fff1023cc6fe8327f59d829f5503d06cdfd2d876713dd04b14e02a025","abstract_canon_sha256":"bd3de6b72c688a585af01c376086f9480b8579caae3de3b1ccdf4162323f69ee"},"schema_version":"1.0"},"canonical_sha256":"5051f755d8405700a0849ca01af36f8f566994fb7b5548cc1b919aea9e252a8c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:03:35.823992Z","signature_b64":"rsBM3AGt2Oi7IYnq0gBE4+KR9gSBgmMtU7UpS1Gyp9WwDt3B7o5CYY8YobEgtIJwtyLdnGFQk3fSDzzXDK/vBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5051f755d8405700a0849ca01af36f8f566994fb7b5548cc1b919aea9e252a8c","last_reissued_at":"2026-05-18T00:03:35.823357Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:03:35.823357Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1810.04798","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":"2026-05-18T00:03:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B53mz1EH3a4VCGWKMV02GUx7kPfhpN93q+gex0i3O7V5/614b6p0OPRDIuhTlcATd/VBjuI/wC5t3A1/3G+5Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T02:45:25.362198Z"},"content_sha256":"bbed36a959c8b2434a1a6413fce9cb1a8b660d347e2f5ce1b9e8d1efd03cdbdf","schema_version":"1.0","event_id":"sha256:bbed36a959c8b2434a1a6413fce9cb1a8b660d347e2f5ce1b9e8d1efd03cdbdf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:KBI7OVOYIBLQBIEETSQBV43PR5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cyclic pairings and derived Poisson structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Ajay C. Ramadoss, Yining Zhang","submitted_at":"2018-10-10T11:15:12Z","abstract_excerpt":"There is a canonical derived Poisson structure on the universal enveloping algebra $\\mathcal{U}\\mathfrak{a}$ of a (DG) Lie algebra $\\mathfrak{a}$ that is Koszul dual to a cyclic cocommutative (DG) coalgebra. Interesting special cases of this derived Poisson structure include (an analog of) the Chas-Sullivan bracket on string topology. We study how certain derived character of $\\mathfrak{a}$ intertwine this derived Poisson structure with the induced Poisson structure on the representation homology of $\\mathfrak{a}$. In addition, we obtain an analog of one of our main results for associative alg"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.04798","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":"2026-05-18T00:03:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qxe9w9xRFIlLoM1FhRsiBb1wIwLKhQxkruZ76lFHoq67EhtM4EwUppiCU5UAJfPwQ9eQ9f4REv6BF/ZYHGNmDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T02:45:25.362546Z"},"content_sha256":"c3ade8e3335c9eb3d0867ba9355070f3536acaf0fada06d4fe07b393ee5d7291","schema_version":"1.0","event_id":"sha256:c3ade8e3335c9eb3d0867ba9355070f3536acaf0fada06d4fe07b393ee5d7291"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KBI7OVOYIBLQBIEETSQBV43PR5/bundle.json","state_url":"https://pith.science/pith/KBI7OVOYIBLQBIEETSQBV43PR5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KBI7OVOYIBLQBIEETSQBV43PR5/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":"2026-07-05T02:45:25Z","links":{"resolver":"https://pith.science/pith/KBI7OVOYIBLQBIEETSQBV43PR5","bundle":"https://pith.science/pith/KBI7OVOYIBLQBIEETSQBV43PR5/bundle.json","state":"https://pith.science/pith/KBI7OVOYIBLQBIEETSQBV43PR5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KBI7OVOYIBLQBIEETSQBV43PR5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:KBI7OVOYIBLQBIEETSQBV43PR5","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":"bd3de6b72c688a585af01c376086f9480b8579caae3de3b1ccdf4162323f69ee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-10-10T11:15:12Z","title_canon_sha256":"6dde489fff1023cc6fe8327f59d829f5503d06cdfd2d876713dd04b14e02a025"},"schema_version":"1.0","source":{"id":"1810.04798","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.04798","created_at":"2026-05-18T00:03:35Z"},{"alias_kind":"arxiv_version","alias_value":"1810.04798v1","created_at":"2026-05-18T00:03:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.04798","created_at":"2026-05-18T00:03:35Z"},{"alias_kind":"pith_short_12","alias_value":"KBI7OVOYIBLQ","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"KBI7OVOYIBLQBIEE","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"KBI7OVOY","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:c3ade8e3335c9eb3d0867ba9355070f3536acaf0fada06d4fe07b393ee5d7291","target":"graph","created_at":"2026-05-18T00:03:35Z","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":"There is a canonical derived Poisson structure on the universal enveloping algebra $\\mathcal{U}\\mathfrak{a}$ of a (DG) Lie algebra $\\mathfrak{a}$ that is Koszul dual to a cyclic cocommutative (DG) coalgebra. Interesting special cases of this derived Poisson structure include (an analog of) the Chas-Sullivan bracket on string topology. We study how certain derived character of $\\mathfrak{a}$ intertwine this derived Poisson structure with the induced Poisson structure on the representation homology of $\\mathfrak{a}$. In addition, we obtain an analog of one of our main results for associative alg","authors_text":"Ajay C. Ramadoss, Yining Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-10-10T11:15:12Z","title":"Cyclic pairings and derived Poisson structures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.04798","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:bbed36a959c8b2434a1a6413fce9cb1a8b660d347e2f5ce1b9e8d1efd03cdbdf","target":"record","created_at":"2026-05-18T00:03:35Z","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":"bd3de6b72c688a585af01c376086f9480b8579caae3de3b1ccdf4162323f69ee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-10-10T11:15:12Z","title_canon_sha256":"6dde489fff1023cc6fe8327f59d829f5503d06cdfd2d876713dd04b14e02a025"},"schema_version":"1.0","source":{"id":"1810.04798","kind":"arxiv","version":1}},"canonical_sha256":"5051f755d8405700a0849ca01af36f8f566994fb7b5548cc1b919aea9e252a8c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5051f755d8405700a0849ca01af36f8f566994fb7b5548cc1b919aea9e252a8c","first_computed_at":"2026-05-18T00:03:35.823357Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:35.823357Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rsBM3AGt2Oi7IYnq0gBE4+KR9gSBgmMtU7UpS1Gyp9WwDt3B7o5CYY8YobEgtIJwtyLdnGFQk3fSDzzXDK/vBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:35.823992Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.04798","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bbed36a959c8b2434a1a6413fce9cb1a8b660d347e2f5ce1b9e8d1efd03cdbdf","sha256:c3ade8e3335c9eb3d0867ba9355070f3536acaf0fada06d4fe07b393ee5d7291"],"state_sha256":"3bbfd8f69800a4ee97e247bc974919b6935e5ab5611a4f442ad35a6cca2425ae"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DgMIi3TCfYTZ2x6cNgsN+a4zEgBwvRLAT00XSvIi956yv4aALsQwADyUbbarxIoIze578pWum4/ZLD+CrwziCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T02:45:25.364465Z","bundle_sha256":"1d035dadc978b1004cc882177152d878e7404971d9c362d441523793242f54f1"}}