{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:27ARVAIMUIFEKZ7HKDRPYXEPCR","short_pith_number":"pith:27ARVAIM","canonical_record":{"source":{"id":"1607.00933","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-07-04T15:33:06Z","cross_cats_sorted":[],"title_canon_sha256":"a4f2701d763d5b36c9d9a48b7f0cf1f1e5e698139ea86ad87feeb8992727a10c","abstract_canon_sha256":"c99f3c6bcf54f5c89e289e4256737679dcd3b48b0988f1ee7f850a90ebbf139e"},"schema_version":"1.0"},"canonical_sha256":"d7c11a810ca20a4567e750e2fc5c8f144aea041bb4d4297191bd2c88dbb29e2e","source":{"kind":"arxiv","id":"1607.00933","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.00933","created_at":"2026-05-18T01:11:34Z"},{"alias_kind":"arxiv_version","alias_value":"1607.00933v1","created_at":"2026-05-18T01:11:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.00933","created_at":"2026-05-18T01:11:34Z"},{"alias_kind":"pith_short_12","alias_value":"27ARVAIMUIFE","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"27ARVAIMUIFEKZ7H","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"27ARVAIM","created_at":"2026-05-18T12:29:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:27ARVAIMUIFEKZ7HKDRPYXEPCR","target":"record","payload":{"canonical_record":{"source":{"id":"1607.00933","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-07-04T15:33:06Z","cross_cats_sorted":[],"title_canon_sha256":"a4f2701d763d5b36c9d9a48b7f0cf1f1e5e698139ea86ad87feeb8992727a10c","abstract_canon_sha256":"c99f3c6bcf54f5c89e289e4256737679dcd3b48b0988f1ee7f850a90ebbf139e"},"schema_version":"1.0"},"canonical_sha256":"d7c11a810ca20a4567e750e2fc5c8f144aea041bb4d4297191bd2c88dbb29e2e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:34.026579Z","signature_b64":"/7PjDOykPx5Z6UY+n4aq3aRgc2iwMAiJmIMfsuBEYa/K7QggaTjc5rhze10QhDuUS+l4QrVXHH82x+vRaL2ZCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d7c11a810ca20a4567e750e2fc5c8f144aea041bb4d4297191bd2c88dbb29e2e","last_reissued_at":"2026-05-18T01:11:34.026203Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:34.026203Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1607.00933","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":"2026-05-18T01:11:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mPKU7lxaAYif18WGtGkMx5avMACkI/yoYNdLXDFPG//C+2JNWvKFSLpkUPqauhpMXoJkV6dW8Y19CXr64yWXBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:38:42.229506Z"},"content_sha256":"eebf90aea261d9dd530870645b9e041628ae485236449edcfff0d9d2d62edf48","schema_version":"1.0","event_id":"sha256:eebf90aea261d9dd530870645b9e041628ae485236449edcfff0d9d2d62edf48"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:27ARVAIMUIFEKZ7HKDRPYXEPCR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Degenerations of Hodge structure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"C. Robles","submitted_at":"2016-07-04T15:33:06Z","abstract_excerpt":"Two interesting questions in algebraic geometry are: (i) how can a smooth projective varieties degenerate? and (ii) given two such degenerations, when can we say that one is \"more singular/degenerate\" than the other? Schmid's Nilpotent Orbit Theorem yields Hodge-theoretic analogs of these questions, and the Hodge-theoretic answers in turn provide insight into the motivating algebro-geometric questions, sometimes with applications to the study of moduli. Recently the Hodge-theoretic questions have been completely answered. This is an expository survey of that work."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.00933","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":""},"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":"2026-05-18T01:11:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XLWPbOKxrWroBhtWfQ7pp3WogDOSum6fXmHphX7Ui3vKpphomXCmoavGq5kYASTOUiNlw63PPjAbuHBg6HoaDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:38:42.230278Z"},"content_sha256":"01b27a43310c797ff2441c8970b31182b8626793778dd102623f17b94eea039e","schema_version":"1.0","event_id":"sha256:01b27a43310c797ff2441c8970b31182b8626793778dd102623f17b94eea039e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/27ARVAIMUIFEKZ7HKDRPYXEPCR/bundle.json","state_url":"https://pith.science/pith/27ARVAIMUIFEKZ7HKDRPYXEPCR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/27ARVAIMUIFEKZ7HKDRPYXEPCR/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":"2026-05-31T12:38:42Z","links":{"resolver":"https://pith.science/pith/27ARVAIMUIFEKZ7HKDRPYXEPCR","bundle":"https://pith.science/pith/27ARVAIMUIFEKZ7HKDRPYXEPCR/bundle.json","state":"https://pith.science/pith/27ARVAIMUIFEKZ7HKDRPYXEPCR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/27ARVAIMUIFEKZ7HKDRPYXEPCR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:27ARVAIMUIFEKZ7HKDRPYXEPCR","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":"c99f3c6bcf54f5c89e289e4256737679dcd3b48b0988f1ee7f850a90ebbf139e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-07-04T15:33:06Z","title_canon_sha256":"a4f2701d763d5b36c9d9a48b7f0cf1f1e5e698139ea86ad87feeb8992727a10c"},"schema_version":"1.0","source":{"id":"1607.00933","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.00933","created_at":"2026-05-18T01:11:34Z"},{"alias_kind":"arxiv_version","alias_value":"1607.00933v1","created_at":"2026-05-18T01:11:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.00933","created_at":"2026-05-18T01:11:34Z"},{"alias_kind":"pith_short_12","alias_value":"27ARVAIMUIFE","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"27ARVAIMUIFEKZ7H","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"27ARVAIM","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:01b27a43310c797ff2441c8970b31182b8626793778dd102623f17b94eea039e","target":"graph","created_at":"2026-05-18T01:11:34Z","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":"Two interesting questions in algebraic geometry are: (i) how can a smooth projective varieties degenerate? and (ii) given two such degenerations, when can we say that one is \"more singular/degenerate\" than the other? Schmid's Nilpotent Orbit Theorem yields Hodge-theoretic analogs of these questions, and the Hodge-theoretic answers in turn provide insight into the motivating algebro-geometric questions, sometimes with applications to the study of moduli. Recently the Hodge-theoretic questions have been completely answered. This is an expository survey of that work.","authors_text":"C. Robles","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-07-04T15:33:06Z","title":"Degenerations of Hodge structure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.00933","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:eebf90aea261d9dd530870645b9e041628ae485236449edcfff0d9d2d62edf48","target":"record","created_at":"2026-05-18T01:11:34Z","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":"c99f3c6bcf54f5c89e289e4256737679dcd3b48b0988f1ee7f850a90ebbf139e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-07-04T15:33:06Z","title_canon_sha256":"a4f2701d763d5b36c9d9a48b7f0cf1f1e5e698139ea86ad87feeb8992727a10c"},"schema_version":"1.0","source":{"id":"1607.00933","kind":"arxiv","version":1}},"canonical_sha256":"d7c11a810ca20a4567e750e2fc5c8f144aea041bb4d4297191bd2c88dbb29e2e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d7c11a810ca20a4567e750e2fc5c8f144aea041bb4d4297191bd2c88dbb29e2e","first_computed_at":"2026-05-18T01:11:34.026203Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:34.026203Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/7PjDOykPx5Z6UY+n4aq3aRgc2iwMAiJmIMfsuBEYa/K7QggaTjc5rhze10QhDuUS+l4QrVXHH82x+vRaL2ZCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:34.026579Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.00933","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eebf90aea261d9dd530870645b9e041628ae485236449edcfff0d9d2d62edf48","sha256:01b27a43310c797ff2441c8970b31182b8626793778dd102623f17b94eea039e"],"state_sha256":"e78bf75023f5a355e97be0e6ae3c3007c743402d7899bb685b48694db5606a90"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hVP8NLQyQzhAEWkRv3GwwmZ+NqoPZsxBEsC2XbZ8doGosgyvlH71aLUg7nOo0C5QYH8xuq2RbBR8YTQQiT0eAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T12:38:42.234432Z","bundle_sha256":"456797fffced4954ff061a5ffc47a9c1947f5fb0b41a4dd0692f556c32134b76"}}