{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:MSEIJDKAZDZ5RMRSQ5NP4M6TXT","short_pith_number":"pith:MSEIJDKA","canonical_record":{"source":{"id":"2212.11267","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2022-12-21T18:57:43Z","cross_cats_sorted":["math-ph","math.AG","math.MP"],"title_canon_sha256":"b4d7e5e897ede9ad0eab74e626dedd89463d6f247511f50be2459b8527913d9e","abstract_canon_sha256":"75228e9fe123468acc727423478936334d3127526dda2190bad09dfecdd25631"},"schema_version":"1.0"},"canonical_sha256":"6488848d40c8f3d8b232875afe33d3bcd53d367fdb81f7b8fa430e0c8626700d","source":{"kind":"arxiv","id":"2212.11267","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.11267","created_at":"2026-07-05T05:44:27Z"},{"alias_kind":"arxiv_version","alias_value":"2212.11267v2","created_at":"2026-07-05T05:44:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.11267","created_at":"2026-07-05T05:44:27Z"},{"alias_kind":"pith_short_12","alias_value":"MSEIJDKAZDZ5","created_at":"2026-07-05T05:44:27Z"},{"alias_kind":"pith_short_16","alias_value":"MSEIJDKAZDZ5RMRS","created_at":"2026-07-05T05:44:27Z"},{"alias_kind":"pith_short_8","alias_value":"MSEIJDKA","created_at":"2026-07-05T05:44:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:MSEIJDKAZDZ5RMRSQ5NP4M6TXT","target":"record","payload":{"canonical_record":{"source":{"id":"2212.11267","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2022-12-21T18:57:43Z","cross_cats_sorted":["math-ph","math.AG","math.MP"],"title_canon_sha256":"b4d7e5e897ede9ad0eab74e626dedd89463d6f247511f50be2459b8527913d9e","abstract_canon_sha256":"75228e9fe123468acc727423478936334d3127526dda2190bad09dfecdd25631"},"schema_version":"1.0"},"canonical_sha256":"6488848d40c8f3d8b232875afe33d3bcd53d367fdb81f7b8fa430e0c8626700d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:44:27.258264Z","signature_b64":"rvPvVrSQ9W1ktawXwt0IxRmSXkyS5g0/coUk1fF5FwYqoYZ/Z0232aXgzOmLIZvMoMzqi+9Z3ViPqb/3xuqrAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6488848d40c8f3d8b232875afe33d3bcd53d367fdb81f7b8fa430e0c8626700d","last_reissued_at":"2026-07-05T05:44:27.257902Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:44:27.257902Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2212.11267","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":"2026-07-05T05:44:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oTBNUsgM5vc9ESY3KTHQP4Tz1hcxiVxWB/91YTWyX4EyUuLYbxBt1vJWwo8nn6PWhCbwzIaF9MtHAnLpbVE2AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T08:44:50.519196Z"},"content_sha256":"28de7a029bc03428ed8e2181cfb1693e4c100cbeb1bca65377e54b33b9188585","schema_version":"1.0","event_id":"sha256:28de7a029bc03428ed8e2181cfb1693e4c100cbeb1bca65377e54b33b9188585"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:MSEIJDKAZDZ5RMRSQ5NP4M6TXT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ricci-flat manifolds of generalized ALG asymptotics","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.AG","math.MP"],"primary_cat":"math.DG","authors_text":"Yuanqi Wang","submitted_at":"2022-12-21T18:57:43Z","abstract_excerpt":"In complex dimensions $\\geq 3$, we provide a geometric existence for generalized ALG complete non-compact Ricci flat K\\\"ahler manifolds with Schwartz decay i.e. metric decay in any polynomial rate to an ALG model $\\mathbb{C}\\times Y$ modulo finite cyclic group action, where $Y$ is Calabi-Yau.\n  Consequently, for any $K3$ surface with a purely non-symplectic automorphism $\\sigma$ of finite order, a K\\\"ahler crepant resolution of the orbifold $\\frac{\\mathbb{C} \\times K3}{\\langle \\sigma \\rangle}$ admits ALG Ricci-flat K\\\"ahler metrics with Schwartz decay. It is known that K\\\"ahler crepant resolut"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.11267","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2212.11267/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":"2026-07-05T05:44:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xz/ysUTtWWoep7Ewhb2M2viBlsHgnSmm4Cctjxl74Hiqe2EFpsc1tPnvGU4JRY0SoEXcVb/pym82Yf4Kq850Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T08:44:50.519722Z"},"content_sha256":"4c27842e8503b2763cc0d9839d18c90c8447a433418dd716642897eb7673059e","schema_version":"1.0","event_id":"sha256:4c27842e8503b2763cc0d9839d18c90c8447a433418dd716642897eb7673059e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MSEIJDKAZDZ5RMRSQ5NP4M6TXT/bundle.json","state_url":"https://pith.science/pith/MSEIJDKAZDZ5RMRSQ5NP4M6TXT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MSEIJDKAZDZ5RMRSQ5NP4M6TXT/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":"2026-08-10T08:44:50Z","links":{"resolver":"https://pith.science/pith/MSEIJDKAZDZ5RMRSQ5NP4M6TXT","bundle":"https://pith.science/pith/MSEIJDKAZDZ5RMRSQ5NP4M6TXT/bundle.json","state":"https://pith.science/pith/MSEIJDKAZDZ5RMRSQ5NP4M6TXT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MSEIJDKAZDZ5RMRSQ5NP4M6TXT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:MSEIJDKAZDZ5RMRSQ5NP4M6TXT","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":"75228e9fe123468acc727423478936334d3127526dda2190bad09dfecdd25631","cross_cats_sorted":["math-ph","math.AG","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2022-12-21T18:57:43Z","title_canon_sha256":"b4d7e5e897ede9ad0eab74e626dedd89463d6f247511f50be2459b8527913d9e"},"schema_version":"1.0","source":{"id":"2212.11267","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.11267","created_at":"2026-07-05T05:44:27Z"},{"alias_kind":"arxiv_version","alias_value":"2212.11267v2","created_at":"2026-07-05T05:44:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.11267","created_at":"2026-07-05T05:44:27Z"},{"alias_kind":"pith_short_12","alias_value":"MSEIJDKAZDZ5","created_at":"2026-07-05T05:44:27Z"},{"alias_kind":"pith_short_16","alias_value":"MSEIJDKAZDZ5RMRS","created_at":"2026-07-05T05:44:27Z"},{"alias_kind":"pith_short_8","alias_value":"MSEIJDKA","created_at":"2026-07-05T05:44:27Z"}],"graph_snapshots":[{"event_id":"sha256:4c27842e8503b2763cc0d9839d18c90c8447a433418dd716642897eb7673059e","target":"graph","created_at":"2026-07-05T05:44:27Z","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/2212.11267/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In complex dimensions $\\geq 3$, we provide a geometric existence for generalized ALG complete non-compact Ricci flat K\\\"ahler manifolds with Schwartz decay i.e. metric decay in any polynomial rate to an ALG model $\\mathbb{C}\\times Y$ modulo finite cyclic group action, where $Y$ is Calabi-Yau.\n  Consequently, for any $K3$ surface with a purely non-symplectic automorphism $\\sigma$ of finite order, a K\\\"ahler crepant resolution of the orbifold $\\frac{\\mathbb{C} \\times K3}{\\langle \\sigma \\rangle}$ admits ALG Ricci-flat K\\\"ahler metrics with Schwartz decay. It is known that K\\\"ahler crepant resolut","authors_text":"Yuanqi Wang","cross_cats":["math-ph","math.AG","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2022-12-21T18:57:43Z","title":"Ricci-flat manifolds of generalized ALG asymptotics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.11267","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":"sha256:28de7a029bc03428ed8e2181cfb1693e4c100cbeb1bca65377e54b33b9188585","target":"record","created_at":"2026-07-05T05:44:27Z","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":"75228e9fe123468acc727423478936334d3127526dda2190bad09dfecdd25631","cross_cats_sorted":["math-ph","math.AG","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2022-12-21T18:57:43Z","title_canon_sha256":"b4d7e5e897ede9ad0eab74e626dedd89463d6f247511f50be2459b8527913d9e"},"schema_version":"1.0","source":{"id":"2212.11267","kind":"arxiv","version":2}},"canonical_sha256":"6488848d40c8f3d8b232875afe33d3bcd53d367fdb81f7b8fa430e0c8626700d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6488848d40c8f3d8b232875afe33d3bcd53d367fdb81f7b8fa430e0c8626700d","first_computed_at":"2026-07-05T05:44:27.257902Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:44:27.257902Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rvPvVrSQ9W1ktawXwt0IxRmSXkyS5g0/coUk1fF5FwYqoYZ/Z0232aXgzOmLIZvMoMzqi+9Z3ViPqb/3xuqrAA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:44:27.258264Z","signed_message":"canonical_sha256_bytes"},"source_id":"2212.11267","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:28de7a029bc03428ed8e2181cfb1693e4c100cbeb1bca65377e54b33b9188585","sha256:4c27842e8503b2763cc0d9839d18c90c8447a433418dd716642897eb7673059e"],"state_sha256":"5d3211d8c98a150daa2643dbb0de2bf79f709fce6a8864035a26d7452e57b86a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YxLbvL3Ay6Fkz9vj4+zNsZu4oBaPSKlZ1ZX4SgvdcGIjNLQaE+tDPkuDoLfJ18leLKlv19mdzupH1aGKnT+hAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T08:44:50.524574Z","bundle_sha256":"e0d2d1324be012a03cf5815eb41ded45f018c11437ad394bcfc44f990ed01b26"}}