{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:YQJNLYWEOA6GTCRL2CXVFG5R56","short_pith_number":"pith:YQJNLYWE","canonical_record":{"source":{"id":"1701.07224","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-01-25T09:40:10Z","cross_cats_sorted":[],"title_canon_sha256":"9391ff31bb1692d1cd809a3ceefc316c834920fed671aada097a66cdb20307cd","abstract_canon_sha256":"0a1c020a15cba4c17dd8871fc55ec623de82755e01ad007bdcfb103956783037"},"schema_version":"1.0"},"canonical_sha256":"c412d5e2c4703c698a2bd0af529bb1ef8e359732e0ab01c8f48257bf77de76a1","source":{"kind":"arxiv","id":"1701.07224","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.07224","created_at":"2026-05-18T00:52:07Z"},{"alias_kind":"arxiv_version","alias_value":"1701.07224v1","created_at":"2026-05-18T00:52:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.07224","created_at":"2026-05-18T00:52:07Z"},{"alias_kind":"pith_short_12","alias_value":"YQJNLYWEOA6G","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"YQJNLYWEOA6GTCRL","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"YQJNLYWE","created_at":"2026-05-18T12:31:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:YQJNLYWEOA6GTCRL2CXVFG5R56","target":"record","payload":{"canonical_record":{"source":{"id":"1701.07224","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-01-25T09:40:10Z","cross_cats_sorted":[],"title_canon_sha256":"9391ff31bb1692d1cd809a3ceefc316c834920fed671aada097a66cdb20307cd","abstract_canon_sha256":"0a1c020a15cba4c17dd8871fc55ec623de82755e01ad007bdcfb103956783037"},"schema_version":"1.0"},"canonical_sha256":"c412d5e2c4703c698a2bd0af529bb1ef8e359732e0ab01c8f48257bf77de76a1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:07.128603Z","signature_b64":"IssOfe3ndxbuqXe7bXEETJMhHDB5k1gL8Pop8lm02W18RGtf39ktfNyDtvcoEmxh5ZZBepv4xmNwJ4hWyN9KCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c412d5e2c4703c698a2bd0af529bb1ef8e359732e0ab01c8f48257bf77de76a1","last_reissued_at":"2026-05-18T00:52:07.128016Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:07.128016Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.07224","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":"2026-05-18T00:52:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iG5iBxWoXzFRxrhKKtuJkNr/Cu3gylEvz0g1SNacaNUZKebvG5wLoHTdl2QTxZ336aFxI8DozAAvmlvisXl6Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T01:18:41.495372Z"},"content_sha256":"8b3c9e34dd93e7bccc06ac463022fd70231773ae5a7d1c515e31d33b1b11fbc7","schema_version":"1.0","event_id":"sha256:8b3c9e34dd93e7bccc06ac463022fd70231773ae5a7d1c515e31d33b1b11fbc7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:YQJNLYWEOA6GTCRL2CXVFG5R56","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Degeneration of differentials and moduli of nodal curves on $K3$ surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"A.L. Knutsen, C. Ciliberto, C. Galati, F. Flamini","submitted_at":"2017-01-25T09:40:10Z","abstract_excerpt":"We consider, under suitable assumptions, the following situation: $\\mathcal B$ is a component of the moduli space of polarized surfaces and $\\mathcal V_{m,\\delta}$ is the universal Severi variety over $\\mathcal B$ parametrizing pairs $(S,C)$, with $(S,H)\\in \\mathcal B$ and $C\\in |mH|$ irreducible with exactly $\\delta$ nodes as singularities. The moduli map $\\mathcal V\\to \\mathcal M_g$ of an irreducible component $\\mathcal V$ of $\\mathcal V_{m,\\delta}$ is generically of maximal rank if and only if certain cohomology vanishings hold. Assuming there are suitable semistable degenerations of the su"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.07224","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":"2026-05-18T00:52:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"csORhvW3tpfiOjGWe2ePHmOYyTGP50g2fFqAZuo+kxqMUt+Q+HUmONvw8jXwaZ4Hifgdqbpo8k0E/+GzBdcnBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T01:18:41.495747Z"},"content_sha256":"a1185f135b5a1fa82697068010a5b26c8a326af42ab61c051834aa3a32d8c346","schema_version":"1.0","event_id":"sha256:a1185f135b5a1fa82697068010a5b26c8a326af42ab61c051834aa3a32d8c346"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YQJNLYWEOA6GTCRL2CXVFG5R56/bundle.json","state_url":"https://pith.science/pith/YQJNLYWEOA6GTCRL2CXVFG5R56/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YQJNLYWEOA6GTCRL2CXVFG5R56/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":"2026-06-26T01:18:41Z","links":{"resolver":"https://pith.science/pith/YQJNLYWEOA6GTCRL2CXVFG5R56","bundle":"https://pith.science/pith/YQJNLYWEOA6GTCRL2CXVFG5R56/bundle.json","state":"https://pith.science/pith/YQJNLYWEOA6GTCRL2CXVFG5R56/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YQJNLYWEOA6GTCRL2CXVFG5R56/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:YQJNLYWEOA6GTCRL2CXVFG5R56","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":"0a1c020a15cba4c17dd8871fc55ec623de82755e01ad007bdcfb103956783037","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-01-25T09:40:10Z","title_canon_sha256":"9391ff31bb1692d1cd809a3ceefc316c834920fed671aada097a66cdb20307cd"},"schema_version":"1.0","source":{"id":"1701.07224","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.07224","created_at":"2026-05-18T00:52:07Z"},{"alias_kind":"arxiv_version","alias_value":"1701.07224v1","created_at":"2026-05-18T00:52:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.07224","created_at":"2026-05-18T00:52:07Z"},{"alias_kind":"pith_short_12","alias_value":"YQJNLYWEOA6G","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"YQJNLYWEOA6GTCRL","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"YQJNLYWE","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:a1185f135b5a1fa82697068010a5b26c8a326af42ab61c051834aa3a32d8c346","target":"graph","created_at":"2026-05-18T00:52:07Z","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, under suitable assumptions, the following situation: $\\mathcal B$ is a component of the moduli space of polarized surfaces and $\\mathcal V_{m,\\delta}$ is the universal Severi variety over $\\mathcal B$ parametrizing pairs $(S,C)$, with $(S,H)\\in \\mathcal B$ and $C\\in |mH|$ irreducible with exactly $\\delta$ nodes as singularities. The moduli map $\\mathcal V\\to \\mathcal M_g$ of an irreducible component $\\mathcal V$ of $\\mathcal V_{m,\\delta}$ is generically of maximal rank if and only if certain cohomology vanishings hold. Assuming there are suitable semistable degenerations of the su","authors_text":"A.L. Knutsen, C. Ciliberto, C. Galati, F. Flamini","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-01-25T09:40:10Z","title":"Degeneration of differentials and moduli of nodal curves on $K3$ surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.07224","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":"sha256:8b3c9e34dd93e7bccc06ac463022fd70231773ae5a7d1c515e31d33b1b11fbc7","target":"record","created_at":"2026-05-18T00:52:07Z","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":"0a1c020a15cba4c17dd8871fc55ec623de82755e01ad007bdcfb103956783037","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-01-25T09:40:10Z","title_canon_sha256":"9391ff31bb1692d1cd809a3ceefc316c834920fed671aada097a66cdb20307cd"},"schema_version":"1.0","source":{"id":"1701.07224","kind":"arxiv","version":1}},"canonical_sha256":"c412d5e2c4703c698a2bd0af529bb1ef8e359732e0ab01c8f48257bf77de76a1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c412d5e2c4703c698a2bd0af529bb1ef8e359732e0ab01c8f48257bf77de76a1","first_computed_at":"2026-05-18T00:52:07.128016Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:07.128016Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IssOfe3ndxbuqXe7bXEETJMhHDB5k1gL8Pop8lm02W18RGtf39ktfNyDtvcoEmxh5ZZBepv4xmNwJ4hWyN9KCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:07.128603Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.07224","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8b3c9e34dd93e7bccc06ac463022fd70231773ae5a7d1c515e31d33b1b11fbc7","sha256:a1185f135b5a1fa82697068010a5b26c8a326af42ab61c051834aa3a32d8c346"],"state_sha256":"419057b087e303025d1882e79364d7d5344f168a42125b13a1e8bc5638bfb1b1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fwMfa0r1/1HHJfDhhKprknMRnp/MO9jN1zW7ppDjNwPpleEtj8ISZm9Iv3pKxDDLK3TFWjbzSjqamMbkn6fECA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T01:18:41.497740Z","bundle_sha256":"425d71b7c6d8d3596c73f0c066aa46064bd824218f0a1dc5a01cef694a63944e"}}