{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:XTBSDU4NUFLDXVB5P5RJXZPTXX","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":"e1f49c1c4e7f41524c4b06f008582e8b90104e5e2d47f956c7267e36a63c64b9","cross_cats_sorted":["math.CV","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-11-09T17:16:09Z","title_canon_sha256":"ddbe7bfcc12e3352bd5cf322e6f8ee984a4d3e57c9ae58da3d702165a036c9d4"},"schema_version":"1.0","source":{"id":"1611.03017","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.03017","created_at":"2026-05-18T00:01:16Z"},{"alias_kind":"arxiv_version","alias_value":"1611.03017v1","created_at":"2026-05-18T00:01:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.03017","created_at":"2026-05-18T00:01:16Z"},{"alias_kind":"pith_short_12","alias_value":"XTBSDU4NUFLD","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XTBSDU4NUFLDXVB5","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XTBSDU4N","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:70ed13a3e5e46134c436dc33aa75227929e466d105988ee9b2d9305b51110a3b","target":"graph","created_at":"2026-05-18T00:01:16Z","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":"We consider degenerations of complex projective Calabi--Yau varieties and study the singularities of $L^2$, Quillen and BCOV metrics on Hodge and determinant bundles. The dominant and subdominant terms in the expansions of the metrics close to non-smooth fibers are shown to be related to well-known topological invariants of singularities, such as limit Hodge structures, vanishing cycles and log-canonical thresholds. We also describe corresponding invariants for more general degenerating families in the case of the Quillen metric.","authors_text":"Christophe Mourougane, Dennis Eriksson, Gerard Freixas i Montplet","cross_cats":["math.CV","math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-11-09T17:16:09Z","title":"Singularities of metrics on Hodge bundles and their topological invariants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.03017","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":"sha256:64dbc3a6f290217b1522e7c5376494a4168a5a1f3cf46ccc5435a82d5a749a55","target":"record","created_at":"2026-05-18T00:01:16Z","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":"e1f49c1c4e7f41524c4b06f008582e8b90104e5e2d47f956c7267e36a63c64b9","cross_cats_sorted":["math.CV","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-11-09T17:16:09Z","title_canon_sha256":"ddbe7bfcc12e3352bd5cf322e6f8ee984a4d3e57c9ae58da3d702165a036c9d4"},"schema_version":"1.0","source":{"id":"1611.03017","kind":"arxiv","version":1}},"canonical_sha256":"bcc321d38da1563bd43d7f629be5f3bde75dc5ef5e22a50443be10cfd03905f3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bcc321d38da1563bd43d7f629be5f3bde75dc5ef5e22a50443be10cfd03905f3","first_computed_at":"2026-05-18T00:01:16.666872Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:01:16.666872Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GrosQPcxwCZYNjE07TBKZtJfZoRFkTPdhrmdFQHbDT3wt9drfphfnlfjw3AB12cDOSctBNwErqeuQ2Oybl/8Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:01:16.667561Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.03017","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:64dbc3a6f290217b1522e7c5376494a4168a5a1f3cf46ccc5435a82d5a749a55","sha256:70ed13a3e5e46134c436dc33aa75227929e466d105988ee9b2d9305b51110a3b"],"state_sha256":"9d9a88629ad3dbff5f143a8f7c6dd9d618b5fb450cd3059c731d0bcd846cfccc"}