{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:4IMDQWOBLF6KW2LR2TH2GJHUT6","short_pith_number":"pith:4IMDQWOB","canonical_record":{"source":{"id":"2505.11087","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2025-05-16T10:21:15Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"40302e59446f1e02de7e0bc75923d7841e662d41ac7e13548236a9afd208b9a5","abstract_canon_sha256":"84371d9ad870b9f95a13b4ef57ce823ddfe5de0f6f660b03524616fa184cd6cf"},"schema_version":"1.0"},"canonical_sha256":"e2183859c1597cab6971d4cfa324f49f94d1f02ca2e5da63431e2a06e404bf88","source":{"kind":"arxiv","id":"2505.11087","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.11087","created_at":"2026-07-05T11:04:10Z"},{"alias_kind":"arxiv_version","alias_value":"2505.11087v1","created_at":"2026-07-05T11:04:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.11087","created_at":"2026-07-05T11:04:10Z"},{"alias_kind":"pith_short_12","alias_value":"4IMDQWOBLF6K","created_at":"2026-07-05T11:04:10Z"},{"alias_kind":"pith_short_16","alias_value":"4IMDQWOBLF6KW2LR","created_at":"2026-07-05T11:04:10Z"},{"alias_kind":"pith_short_8","alias_value":"4IMDQWOB","created_at":"2026-07-05T11:04:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:4IMDQWOBLF6KW2LR2TH2GJHUT6","target":"record","payload":{"canonical_record":{"source":{"id":"2505.11087","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2025-05-16T10:21:15Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"40302e59446f1e02de7e0bc75923d7841e662d41ac7e13548236a9afd208b9a5","abstract_canon_sha256":"84371d9ad870b9f95a13b4ef57ce823ddfe5de0f6f660b03524616fa184cd6cf"},"schema_version":"1.0"},"canonical_sha256":"e2183859c1597cab6971d4cfa324f49f94d1f02ca2e5da63431e2a06e404bf88","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:04:10.533422Z","signature_b64":"Dpv07CjEX158qaNCR7FcRF3g0BY+nl6Em5SCSG9jqPKCzOOQEvYU6avmVNxRVAbEXV/GvgjSMuzDYRn3Mo6QAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e2183859c1597cab6971d4cfa324f49f94d1f02ca2e5da63431e2a06e404bf88","last_reissued_at":"2026-07-05T11:04:10.532960Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:04:10.532960Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.11087","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":"2026-07-05T11:04:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lSBAruCFRB91v9rmzK6J61A0ClD6oRSLGbF/IyL6yvEt24OSyCvAzWuC4Gyi6PS//UrlWWMWcHD+Wo61q52oBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T10:28:33.341247Z"},"content_sha256":"96e56e644ff92a71e532077583edd474c831b449eba4819595c49351b98c21d5","schema_version":"1.0","event_id":"sha256:96e56e644ff92a71e532077583edd474c831b449eba4819595c49351b98c21d5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:4IMDQWOBLF6KW2LR2TH2GJHUT6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Degeneration of Calabi-Yau metrics and canonical basis","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.DG","authors_text":"Yang Li","submitted_at":"2025-05-16T10:21:15Z","abstract_excerpt":"For polarised degenerations of Calabi-Yau manifolds whose essential skeleton has dimension $1\\leq m\\leq n$, we show that the $C^0$ potential theoretic limit of the Calabi-Yau metrics agrees with the non-archimedean Calabi-Yau metric on the Berkovich analytification. Moreover, this limit data can be encoded into the unique minimiser of the Kontorovich functional of an optimal transport problem, under some algebro-geometric assumptions on the existence of a canonical basis of sections for tensor powers of the polarisation line bundle."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.11087","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/2505.11087/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":"2026-07-05T11:04:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MZrCK4+5zbjiSxIFkguU70+ZurMv1JSr9GgSgG/ZHpxVTAJbfkmUwCB1bFuf81CRn3gnEEMQgL3UrBSqCXITDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T10:28:33.341809Z"},"content_sha256":"5257eb2bf1f91ba59a6aefd7523450ecae81de677ea6c8342ac2f81f62512b47","schema_version":"1.0","event_id":"sha256:5257eb2bf1f91ba59a6aefd7523450ecae81de677ea6c8342ac2f81f62512b47"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4IMDQWOBLF6KW2LR2TH2GJHUT6/bundle.json","state_url":"https://pith.science/pith/4IMDQWOBLF6KW2LR2TH2GJHUT6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4IMDQWOBLF6KW2LR2TH2GJHUT6/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":"2026-08-07T10:28:33Z","links":{"resolver":"https://pith.science/pith/4IMDQWOBLF6KW2LR2TH2GJHUT6","bundle":"https://pith.science/pith/4IMDQWOBLF6KW2LR2TH2GJHUT6/bundle.json","state":"https://pith.science/pith/4IMDQWOBLF6KW2LR2TH2GJHUT6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4IMDQWOBLF6KW2LR2TH2GJHUT6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:4IMDQWOBLF6KW2LR2TH2GJHUT6","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":"84371d9ad870b9f95a13b4ef57ce823ddfe5de0f6f660b03524616fa184cd6cf","cross_cats_sorted":["math.AG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2025-05-16T10:21:15Z","title_canon_sha256":"40302e59446f1e02de7e0bc75923d7841e662d41ac7e13548236a9afd208b9a5"},"schema_version":"1.0","source":{"id":"2505.11087","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.11087","created_at":"2026-07-05T11:04:10Z"},{"alias_kind":"arxiv_version","alias_value":"2505.11087v1","created_at":"2026-07-05T11:04:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.11087","created_at":"2026-07-05T11:04:10Z"},{"alias_kind":"pith_short_12","alias_value":"4IMDQWOBLF6K","created_at":"2026-07-05T11:04:10Z"},{"alias_kind":"pith_short_16","alias_value":"4IMDQWOBLF6KW2LR","created_at":"2026-07-05T11:04:10Z"},{"alias_kind":"pith_short_8","alias_value":"4IMDQWOB","created_at":"2026-07-05T11:04:10Z"}],"graph_snapshots":[{"event_id":"sha256:5257eb2bf1f91ba59a6aefd7523450ecae81de677ea6c8342ac2f81f62512b47","target":"graph","created_at":"2026-07-05T11:04:10Z","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/2505.11087/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For polarised degenerations of Calabi-Yau manifolds whose essential skeleton has dimension $1\\leq m\\leq n$, we show that the $C^0$ potential theoretic limit of the Calabi-Yau metrics agrees with the non-archimedean Calabi-Yau metric on the Berkovich analytification. Moreover, this limit data can be encoded into the unique minimiser of the Kontorovich functional of an optimal transport problem, under some algebro-geometric assumptions on the existence of a canonical basis of sections for tensor powers of the polarisation line bundle.","authors_text":"Yang Li","cross_cats":["math.AG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2025-05-16T10:21:15Z","title":"Degeneration of Calabi-Yau metrics and canonical basis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.11087","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":"sha256:96e56e644ff92a71e532077583edd474c831b449eba4819595c49351b98c21d5","target":"record","created_at":"2026-07-05T11:04:10Z","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":"84371d9ad870b9f95a13b4ef57ce823ddfe5de0f6f660b03524616fa184cd6cf","cross_cats_sorted":["math.AG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2025-05-16T10:21:15Z","title_canon_sha256":"40302e59446f1e02de7e0bc75923d7841e662d41ac7e13548236a9afd208b9a5"},"schema_version":"1.0","source":{"id":"2505.11087","kind":"arxiv","version":1}},"canonical_sha256":"e2183859c1597cab6971d4cfa324f49f94d1f02ca2e5da63431e2a06e404bf88","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e2183859c1597cab6971d4cfa324f49f94d1f02ca2e5da63431e2a06e404bf88","first_computed_at":"2026-07-05T11:04:10.532960Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:04:10.532960Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Dpv07CjEX158qaNCR7FcRF3g0BY+nl6Em5SCSG9jqPKCzOOQEvYU6avmVNxRVAbEXV/GvgjSMuzDYRn3Mo6QAA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:04:10.533422Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.11087","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:96e56e644ff92a71e532077583edd474c831b449eba4819595c49351b98c21d5","sha256:5257eb2bf1f91ba59a6aefd7523450ecae81de677ea6c8342ac2f81f62512b47"],"state_sha256":"4ab46eee049b4c7b699c537fccecbd96f9494c460665f0550c8781598d430811"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4AGY5d6u681jHbMO0iIWgZsqnOWVLcP8sddF2LU9rlyDbjnjDEc9UOXv0MwfjRMRqP9o2JI02wzNPj6KgmNrAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T10:28:33.347724Z","bundle_sha256":"f33e90192e1774e2363c2cb2d56de7bdb67f4aec5ecfa009e00b930cf08d4260"}}