{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:KWNMSGJBPEZQITAQCDQ2SGAV2X","short_pith_number":"pith:KWNMSGJB","canonical_record":{"source":{"id":"1105.2008","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2011-05-10T18:06:47Z","cross_cats_sorted":["math-ph","math.AG","math.AT","math.MP","math.QA"],"title_canon_sha256":"f6a045f37817e9e6a07efc7746a98c0342505ff58e5270eb77180ad486779eec","abstract_canon_sha256":"b163961e8249f1cfc857917a7eea5f06c7e1d21c21e83aae08b414c1624f9be1"},"schema_version":"1.0"},"canonical_sha256":"559ac919217933044c1010e1a91815d5e5f6af53ef966b0d2397e731859244de","source":{"kind":"arxiv","id":"1105.2008","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.2008","created_at":"2026-05-18T04:18:45Z"},{"alias_kind":"arxiv_version","alias_value":"1105.2008v2","created_at":"2026-05-18T04:18:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.2008","created_at":"2026-05-18T04:18:45Z"},{"alias_kind":"pith_short_12","alias_value":"KWNMSGJBPEZQ","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"KWNMSGJBPEZQITAQ","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"KWNMSGJB","created_at":"2026-05-18T12:26:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:KWNMSGJBPEZQITAQCDQ2SGAV2X","target":"record","payload":{"canonical_record":{"source":{"id":"1105.2008","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2011-05-10T18:06:47Z","cross_cats_sorted":["math-ph","math.AG","math.AT","math.MP","math.QA"],"title_canon_sha256":"f6a045f37817e9e6a07efc7746a98c0342505ff58e5270eb77180ad486779eec","abstract_canon_sha256":"b163961e8249f1cfc857917a7eea5f06c7e1d21c21e83aae08b414c1624f9be1"},"schema_version":"1.0"},"canonical_sha256":"559ac919217933044c1010e1a91815d5e5f6af53ef966b0d2397e731859244de","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:18:45.978265Z","signature_b64":"4NCR4p5DAVnMdbDZ4bdBLOVHr0xQv54JBZl/8VsDN7RGMvxZ6uFG407GEGIs+V7m1F8quLYHsrDxInQlc0giCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"559ac919217933044c1010e1a91815d5e5f6af53ef966b0d2397e731859244de","last_reissued_at":"2026-05-18T04:18:45.977654Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:18:45.977654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1105.2008","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:18:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q4l76bzsMhjYGBqqmbmjiHxQOiMBq26C8hjd/7Dsp0/7sKJVWsB8fwk80lN5Xcefsq2g9kT7GJnHdgFhvcF1CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T10:05:06.343447Z"},"content_sha256":"4e68438e387559f928729aa797bcbcf8063a6ec1c239154142835d17f8ba58c7","schema_version":"1.0","event_id":"sha256:4e68438e387559f928729aa797bcbcf8063a6ec1c239154142835d17f8ba58c7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:KWNMSGJBPEZQITAQCDQ2SGAV2X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The minimal model for the Batalin-Vilkovisky operad","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AG","math.AT","math.MP","math.QA"],"primary_cat":"math.KT","authors_text":"Bruno Vallette, Gabriel C. Drummond-Cole","submitted_at":"2011-05-10T18:06:47Z","abstract_excerpt":"The purpose of this paper is to explain and to generalize, in a homotopical way, the result of Barannikov-Kontsevich and Manin which states that the underlying homology groups of some Batalin-Vilkovisky algebras carry a Frobenius manifold structure. To this extent, we first make the minimal model for the operad encoding BV-algebras explicit. Then we prove a homotopy transfer theorem for the associated notion of homotopy BV-algebra. The final result provides an extension of the action of the homology of the Deligne-Mumford-Knudsen moduli space of genus 0 curves on the homology of some BV-algebr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.2008","kind":"arxiv","version":2},"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":"2026-05-18T04:18:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GMD9dvNTO13js1NJVWZJfsB/fpK0fqoJDGO9wAhHfq6K5fzv7WGSDgz87iI/2/9T9oiYcPNDAl0JZ00VIBhsAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T10:05:06.344025Z"},"content_sha256":"1587dba5b300a38eb15a2c3e82254e6c9084cceb99df60216ceb4662db7795a3","schema_version":"1.0","event_id":"sha256:1587dba5b300a38eb15a2c3e82254e6c9084cceb99df60216ceb4662db7795a3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KWNMSGJBPEZQITAQCDQ2SGAV2X/bundle.json","state_url":"https://pith.science/pith/KWNMSGJBPEZQITAQCDQ2SGAV2X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KWNMSGJBPEZQITAQCDQ2SGAV2X/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":"2026-05-25T10:05:06Z","links":{"resolver":"https://pith.science/pith/KWNMSGJBPEZQITAQCDQ2SGAV2X","bundle":"https://pith.science/pith/KWNMSGJBPEZQITAQCDQ2SGAV2X/bundle.json","state":"https://pith.science/pith/KWNMSGJBPEZQITAQCDQ2SGAV2X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KWNMSGJBPEZQITAQCDQ2SGAV2X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:KWNMSGJBPEZQITAQCDQ2SGAV2X","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":"b163961e8249f1cfc857917a7eea5f06c7e1d21c21e83aae08b414c1624f9be1","cross_cats_sorted":["math-ph","math.AG","math.AT","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2011-05-10T18:06:47Z","title_canon_sha256":"f6a045f37817e9e6a07efc7746a98c0342505ff58e5270eb77180ad486779eec"},"schema_version":"1.0","source":{"id":"1105.2008","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.2008","created_at":"2026-05-18T04:18:45Z"},{"alias_kind":"arxiv_version","alias_value":"1105.2008v2","created_at":"2026-05-18T04:18:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.2008","created_at":"2026-05-18T04:18:45Z"},{"alias_kind":"pith_short_12","alias_value":"KWNMSGJBPEZQ","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"KWNMSGJBPEZQITAQ","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"KWNMSGJB","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:1587dba5b300a38eb15a2c3e82254e6c9084cceb99df60216ceb4662db7795a3","target":"graph","created_at":"2026-05-18T04:18:45Z","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 purpose of this paper is to explain and to generalize, in a homotopical way, the result of Barannikov-Kontsevich and Manin which states that the underlying homology groups of some Batalin-Vilkovisky algebras carry a Frobenius manifold structure. To this extent, we first make the minimal model for the operad encoding BV-algebras explicit. Then we prove a homotopy transfer theorem for the associated notion of homotopy BV-algebra. The final result provides an extension of the action of the homology of the Deligne-Mumford-Knudsen moduli space of genus 0 curves on the homology of some BV-algebr","authors_text":"Bruno Vallette, Gabriel C. Drummond-Cole","cross_cats":["math-ph","math.AG","math.AT","math.MP","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2011-05-10T18:06:47Z","title":"The minimal model for the Batalin-Vilkovisky operad"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.2008","kind":"arxiv","version":2},"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":"sha256:4e68438e387559f928729aa797bcbcf8063a6ec1c239154142835d17f8ba58c7","target":"record","created_at":"2026-05-18T04:18:45Z","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":"b163961e8249f1cfc857917a7eea5f06c7e1d21c21e83aae08b414c1624f9be1","cross_cats_sorted":["math-ph","math.AG","math.AT","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2011-05-10T18:06:47Z","title_canon_sha256":"f6a045f37817e9e6a07efc7746a98c0342505ff58e5270eb77180ad486779eec"},"schema_version":"1.0","source":{"id":"1105.2008","kind":"arxiv","version":2}},"canonical_sha256":"559ac919217933044c1010e1a91815d5e5f6af53ef966b0d2397e731859244de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"559ac919217933044c1010e1a91815d5e5f6af53ef966b0d2397e731859244de","first_computed_at":"2026-05-18T04:18:45.977654Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:18:45.977654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4NCR4p5DAVnMdbDZ4bdBLOVHr0xQv54JBZl/8VsDN7RGMvxZ6uFG407GEGIs+V7m1F8quLYHsrDxInQlc0giCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:18:45.978265Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.2008","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4e68438e387559f928729aa797bcbcf8063a6ec1c239154142835d17f8ba58c7","sha256:1587dba5b300a38eb15a2c3e82254e6c9084cceb99df60216ceb4662db7795a3"],"state_sha256":"c7c7fc97d1a4a2c672ff53e1e6a79357f0f5fa3ef166394e9fd0c83c6dbab064"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dJtdpxjYmk4XIsxEerbjyLvcP64PcTOF9XKfCdZEui4vsoZ+noEsT6yZN0CV6Of7mVQjz7ST3K6OGulaQqu7Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T10:05:06.347332Z","bundle_sha256":"bcd287c916309cf0357440c7b9a6effda3af102d348dd8bb0ff16b3b7d17d7de"}}