{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:MINLKNTNC4GH5X3YEFBXUM4TFN","short_pith_number":"pith:MINLKNTN","schema_version":"1.0","canonical_sha256":"621ab5366d170c7edf7821437a33932b6854de746bc35ad5fd1bf83c26ddf2cb","source":{"kind":"arxiv","id":"2605.30558","version":1},"attestation_state":"computed","paper":{"title":"BV pushforward as a quasi-isomorphism","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th","math.AT","math.MP","math.QA"],"primary_cat":"math-ph","authors_text":"Alberto S. Cattaneo, Pavel Mnev","submitted_at":"2026-05-28T20:45:15Z","abstract_excerpt":"Given a BV theory on a space of fields split into two subspaces (\"infrared\" and \"ultraviolet\"), one has the BV pushforward map $P_*$, sending observables to observables of the effective theory on the infrared space. This note proves that $P_*$ is a quasi-isomorphism of BV complexes, by realizing it as a part of a strong deformation retraction constructed using the homological perturbation lemma. Two proofs are given: (i) comparing Feynman diagrams for $P_*$ with \"cable diagrams\" arising from homological perturbation theory and (ii) using topological quantum mechanics. This construction gives a"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2605.30558","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2026-05-28T20:45:15Z","cross_cats_sorted":["hep-th","math.AT","math.MP","math.QA"],"title_canon_sha256":"ec419f85e5c6ebfe3660720b647ea13b5a8338d64912075417d7cd40d24dee60","abstract_canon_sha256":"97eb1220300798c698f4f24ecc9b98c9eac78403c391ee4a45caa9083be318ca"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-01T01:03:01.041414Z","signature_b64":"D+nN3A4wEdn74zRThtwO8u9+cJna8+K4XhXm8PlSm4edN/tQXUb8nW7j+fddIOZDpW9WkAROoqYGueTTA+WSCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"621ab5366d170c7edf7821437a33932b6854de746bc35ad5fd1bf83c26ddf2cb","last_reissued_at":"2026-06-01T01:03:01.040668Z","signature_status":"signed_v1","first_computed_at":"2026-06-01T01:03:01.040668Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"BV pushforward as a quasi-isomorphism","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th","math.AT","math.MP","math.QA"],"primary_cat":"math-ph","authors_text":"Alberto S. Cattaneo, Pavel Mnev","submitted_at":"2026-05-28T20:45:15Z","abstract_excerpt":"Given a BV theory on a space of fields split into two subspaces (\"infrared\" and \"ultraviolet\"), one has the BV pushforward map $P_*$, sending observables to observables of the effective theory on the infrared space. This note proves that $P_*$ is a quasi-isomorphism of BV complexes, by realizing it as a part of a strong deformation retraction constructed using the homological perturbation lemma. Two proofs are given: (i) comparing Feynman diagrams for $P_*$ with \"cable diagrams\" arising from homological perturbation theory and (ii) using topological quantum mechanics. This construction gives a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.30558","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/2605.30558/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2605.30558","created_at":"2026-06-01T01:03:01.040788+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.30558v1","created_at":"2026-06-01T01:03:01.040788+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.30558","created_at":"2026-06-01T01:03:01.040788+00:00"},{"alias_kind":"pith_short_12","alias_value":"MINLKNTNC4GH","created_at":"2026-06-01T01:03:01.040788+00:00"},{"alias_kind":"pith_short_16","alias_value":"MINLKNTNC4GH5X3Y","created_at":"2026-06-01T01:03:01.040788+00:00"},{"alias_kind":"pith_short_8","alias_value":"MINLKNTN","created_at":"2026-06-01T01:03:01.040788+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MINLKNTNC4GH5X3YEFBXUM4TFN","json":"https://pith.science/pith/MINLKNTNC4GH5X3YEFBXUM4TFN.json","graph_json":"https://pith.science/api/pith-number/MINLKNTNC4GH5X3YEFBXUM4TFN/graph.json","events_json":"https://pith.science/api/pith-number/MINLKNTNC4GH5X3YEFBXUM4TFN/events.json","paper":"https://pith.science/paper/MINLKNTN"},"agent_actions":{"view_html":"https://pith.science/pith/MINLKNTNC4GH5X3YEFBXUM4TFN","download_json":"https://pith.science/pith/MINLKNTNC4GH5X3YEFBXUM4TFN.json","view_paper":"https://pith.science/paper/MINLKNTN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.30558&json=true","fetch_graph":"https://pith.science/api/pith-number/MINLKNTNC4GH5X3YEFBXUM4TFN/graph.json","fetch_events":"https://pith.science/api/pith-number/MINLKNTNC4GH5X3YEFBXUM4TFN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MINLKNTNC4GH5X3YEFBXUM4TFN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MINLKNTNC4GH5X3YEFBXUM4TFN/action/storage_attestation","attest_author":"https://pith.science/pith/MINLKNTNC4GH5X3YEFBXUM4TFN/action/author_attestation","sign_citation":"https://pith.science/pith/MINLKNTNC4GH5X3YEFBXUM4TFN/action/citation_signature","submit_replication":"https://pith.science/pith/MINLKNTNC4GH5X3YEFBXUM4TFN/action/replication_record"}},"created_at":"2026-06-01T01:03:01.040788+00:00","updated_at":"2026-06-01T01:03:01.040788+00:00"}