{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:J2ILA7LHOBB22OL4EZ3SMKP3G2","short_pith_number":"pith:J2ILA7LH","canonical_record":{"source":{"id":"2605.22418","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AT","submitted_at":"2026-05-21T12:40:17Z","cross_cats_sorted":[],"title_canon_sha256":"b97f4d6ea8304da9bb03751e74308d8466b6eb577d3b4a03ac839bbaa8723a05","abstract_canon_sha256":"267084242cc947b9716ef3e3781c8c87cb985adef01bef607a92b5a4893b0fc2"},"schema_version":"1.0"},"canonical_sha256":"4e90b07d677043ad397c26772629fb3693b23efa2de90909ccbe17cfdc7c5d33","source":{"kind":"arxiv","id":"2605.22418","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.22418","created_at":"2026-05-22T01:04:42Z"},{"alias_kind":"arxiv_version","alias_value":"2605.22418v1","created_at":"2026-05-22T01:04:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.22418","created_at":"2026-05-22T01:04:42Z"},{"alias_kind":"pith_short_12","alias_value":"J2ILA7LHOBB2","created_at":"2026-05-22T01:04:42Z"},{"alias_kind":"pith_short_16","alias_value":"J2ILA7LHOBB22OL4","created_at":"2026-05-22T01:04:42Z"},{"alias_kind":"pith_short_8","alias_value":"J2ILA7LH","created_at":"2026-05-22T01:04:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:J2ILA7LHOBB22OL4EZ3SMKP3G2","target":"record","payload":{"canonical_record":{"source":{"id":"2605.22418","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AT","submitted_at":"2026-05-21T12:40:17Z","cross_cats_sorted":[],"title_canon_sha256":"b97f4d6ea8304da9bb03751e74308d8466b6eb577d3b4a03ac839bbaa8723a05","abstract_canon_sha256":"267084242cc947b9716ef3e3781c8c87cb985adef01bef607a92b5a4893b0fc2"},"schema_version":"1.0"},"canonical_sha256":"4e90b07d677043ad397c26772629fb3693b23efa2de90909ccbe17cfdc7c5d33","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-22T01:04:42.346516Z","signature_b64":"++wS1cH2iwaJhq+jwRxj9Ehnp1P0FJFbqJbGG4aXu0O5PtQOqrseuzpAsqV3RVFc5gmNwRGs820KBY3jMPEWAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4e90b07d677043ad397c26772629fb3693b23efa2de90909ccbe17cfdc7c5d33","last_reissued_at":"2026-05-22T01:04:42.345967Z","signature_status":"signed_v1","first_computed_at":"2026-05-22T01:04:42.345967Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.22418","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":"2026-05-22T01:04:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rfCuLFcTHuAxqx6u8rZfQbbrDi6R4aR6/EmlREzl/qScJP6bf8Bp+QZUphgidM9nSiuK9YKi/zNqsZagbA0kCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T18:14:47.398067Z"},"content_sha256":"e0bc839d59a57e0e7a73d0a6d6f169ba8a8ad6e331e1d28be1d0359421bd0a1f","schema_version":"1.0","event_id":"sha256:e0bc839d59a57e0e7a73d0a6d6f169ba8a8ad6e331e1d28be1d0359421bd0a1f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:J2ILA7LHOBB22OL4EZ3SMKP3G2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The inflation functor in pluripotential homological algebra","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Anna Sopena-Gilboy, Pedro Magalh\\~aes","submitted_at":"2026-05-21T12:40:17Z","abstract_excerpt":"We introduce a functor from cochain complexes to bicomplexes, called inflation functor, which sends quasi-isomorphisms to the class of pluripotential weak equivalences. We show this functor is part of a Quillen adjunction. Its right adjoint is a well-known construction in complex geometry, which gives a sheaf-theoretic presentation of Bott-Chern and Aeppli cohomologies. The inflation functor plays a key role in pluripotential Koszul duality theory for operads and allows us to construct the infinity-category of bicomplexes in the pluripotential sense."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.22418","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/2605.22418/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":"2026-05-22T01:04:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YDY+1Pv43xWv3T9z8l8OvonJu1NQiZpdrjdbxqo4xmGfpaFvQspNlZR5pPJ13oRRY0NDm6IjnsVlX5BiQUONAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T18:14:47.398828Z"},"content_sha256":"50b294319c0e6aa9e06fc7ffa918b05fab7a606fa0fb2a91eba4398230fc5398","schema_version":"1.0","event_id":"sha256:50b294319c0e6aa9e06fc7ffa918b05fab7a606fa0fb2a91eba4398230fc5398"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J2ILA7LHOBB22OL4EZ3SMKP3G2/bundle.json","state_url":"https://pith.science/pith/J2ILA7LHOBB22OL4EZ3SMKP3G2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J2ILA7LHOBB22OL4EZ3SMKP3G2/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":"2026-05-24T18:14:47Z","links":{"resolver":"https://pith.science/pith/J2ILA7LHOBB22OL4EZ3SMKP3G2","bundle":"https://pith.science/pith/J2ILA7LHOBB22OL4EZ3SMKP3G2/bundle.json","state":"https://pith.science/pith/J2ILA7LHOBB22OL4EZ3SMKP3G2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J2ILA7LHOBB22OL4EZ3SMKP3G2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:J2ILA7LHOBB22OL4EZ3SMKP3G2","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":"267084242cc947b9716ef3e3781c8c87cb985adef01bef607a92b5a4893b0fc2","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AT","submitted_at":"2026-05-21T12:40:17Z","title_canon_sha256":"b97f4d6ea8304da9bb03751e74308d8466b6eb577d3b4a03ac839bbaa8723a05"},"schema_version":"1.0","source":{"id":"2605.22418","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.22418","created_at":"2026-05-22T01:04:42Z"},{"alias_kind":"arxiv_version","alias_value":"2605.22418v1","created_at":"2026-05-22T01:04:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.22418","created_at":"2026-05-22T01:04:42Z"},{"alias_kind":"pith_short_12","alias_value":"J2ILA7LHOBB2","created_at":"2026-05-22T01:04:42Z"},{"alias_kind":"pith_short_16","alias_value":"J2ILA7LHOBB22OL4","created_at":"2026-05-22T01:04:42Z"},{"alias_kind":"pith_short_8","alias_value":"J2ILA7LH","created_at":"2026-05-22T01:04:42Z"}],"graph_snapshots":[{"event_id":"sha256:50b294319c0e6aa9e06fc7ffa918b05fab7a606fa0fb2a91eba4398230fc5398","target":"graph","created_at":"2026-05-22T01:04:42Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2605.22418/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce a functor from cochain complexes to bicomplexes, called inflation functor, which sends quasi-isomorphisms to the class of pluripotential weak equivalences. We show this functor is part of a Quillen adjunction. Its right adjoint is a well-known construction in complex geometry, which gives a sheaf-theoretic presentation of Bott-Chern and Aeppli cohomologies. The inflation functor plays a key role in pluripotential Koszul duality theory for operads and allows us to construct the infinity-category of bicomplexes in the pluripotential sense.","authors_text":"Anna Sopena-Gilboy, Pedro Magalh\\~aes","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AT","submitted_at":"2026-05-21T12:40:17Z","title":"The inflation functor in pluripotential homological algebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.22418","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:e0bc839d59a57e0e7a73d0a6d6f169ba8a8ad6e331e1d28be1d0359421bd0a1f","target":"record","created_at":"2026-05-22T01:04:42Z","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":"267084242cc947b9716ef3e3781c8c87cb985adef01bef607a92b5a4893b0fc2","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AT","submitted_at":"2026-05-21T12:40:17Z","title_canon_sha256":"b97f4d6ea8304da9bb03751e74308d8466b6eb577d3b4a03ac839bbaa8723a05"},"schema_version":"1.0","source":{"id":"2605.22418","kind":"arxiv","version":1}},"canonical_sha256":"4e90b07d677043ad397c26772629fb3693b23efa2de90909ccbe17cfdc7c5d33","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4e90b07d677043ad397c26772629fb3693b23efa2de90909ccbe17cfdc7c5d33","first_computed_at":"2026-05-22T01:04:42.345967Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-22T01:04:42.345967Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"++wS1cH2iwaJhq+jwRxj9Ehnp1P0FJFbqJbGG4aXu0O5PtQOqrseuzpAsqV3RVFc5gmNwRGs820KBY3jMPEWAw==","signature_status":"signed_v1","signed_at":"2026-05-22T01:04:42.346516Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.22418","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e0bc839d59a57e0e7a73d0a6d6f169ba8a8ad6e331e1d28be1d0359421bd0a1f","sha256:50b294319c0e6aa9e06fc7ffa918b05fab7a606fa0fb2a91eba4398230fc5398"],"state_sha256":"f437d72ac10bacf9c21bcc9b3d230c78aa51c40883fdf42837f089e8258cf8ff"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5KT6OC7NSudDlapzx4P7oVHuidgyMB8v/XRpQv4MreKk30J5y/DmCuX4FSsX3oKR/bMqO6QsB8UUU5jMNxo4Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T18:14:47.402325Z","bundle_sha256":"0d7e7aeafe008a0894c4468f2ed4ee136ef393a67caf282eec1b222d997c4905"}}