{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:H2XLKGD34GTFICNOBH34PCFATX","short_pith_number":"pith:H2XLKGD3","schema_version":"1.0","canonical_sha256":"3eaeb5187be1a65409ae09f7c788a09df31b08ff366ac9d85a5b1cb1a9ac4b0e","source":{"kind":"arxiv","id":"1504.01983","version":1},"attestation_state":"computed","paper":{"title":"Degenerations of Abelian Differentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.GT"],"primary_cat":"math.AG","authors_text":"Dawei Chen","submitted_at":"2015-04-08T14:30:19Z","abstract_excerpt":"Consider degenerations of Abelian differentials with prescribed number and multiplicity of zeros and poles. Motivated by the theory of limit linear series, we define twisted canonical divisors on pointed nodal curves to study degenerate differentials, give dimension bounds for their moduli spaces, and establish smoothability criteria. As applications, we show that the spin parity of holomorphic and meromorphic differentials extends to distinguish twisted canonical divisors in the locus of stable pointed curves of pseudocompact type. We also justify whether zeros and poles on general curves in "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1504.01983","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-04-08T14:30:19Z","cross_cats_sorted":["math.DS","math.GT"],"title_canon_sha256":"0c905832250c4bebaa03b1da03d61ed489a482f5305da9265498f9c472e03cc9","abstract_canon_sha256":"a5fcfef579b2b28bf2bb906f26011dd492ab3fad8be787cbb296dbd7b22a4b36"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:19:17.605928Z","signature_b64":"EHMObDBx+nQ6JGa97B4FTKkjSuWSKcw2HUH5ASQ19YJN5aEcVgDtpyjaX8NlaBiNvnM9/UMuFpNFI0zGv15FAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3eaeb5187be1a65409ae09f7c788a09df31b08ff366ac9d85a5b1cb1a9ac4b0e","last_reissued_at":"2026-05-18T02:19:17.605452Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:19:17.605452Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Degenerations of Abelian Differentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.GT"],"primary_cat":"math.AG","authors_text":"Dawei Chen","submitted_at":"2015-04-08T14:30:19Z","abstract_excerpt":"Consider degenerations of Abelian differentials with prescribed number and multiplicity of zeros and poles. Motivated by the theory of limit linear series, we define twisted canonical divisors on pointed nodal curves to study degenerate differentials, give dimension bounds for their moduli spaces, and establish smoothability criteria. As applications, we show that the spin parity of holomorphic and meromorphic differentials extends to distinguish twisted canonical divisors in the locus of stable pointed curves of pseudocompact type. We also justify whether zeros and poles on general curves in "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.01983","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1504.01983","created_at":"2026-05-18T02:19:17.605521+00:00"},{"alias_kind":"arxiv_version","alias_value":"1504.01983v1","created_at":"2026-05-18T02:19:17.605521+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.01983","created_at":"2026-05-18T02:19:17.605521+00:00"},{"alias_kind":"pith_short_12","alias_value":"H2XLKGD34GTF","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_16","alias_value":"H2XLKGD34GTFICNO","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_8","alias_value":"H2XLKGD3","created_at":"2026-05-18T12:29:22.688609+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/H2XLKGD34GTFICNOBH34PCFATX","json":"https://pith.science/pith/H2XLKGD34GTFICNOBH34PCFATX.json","graph_json":"https://pith.science/api/pith-number/H2XLKGD34GTFICNOBH34PCFATX/graph.json","events_json":"https://pith.science/api/pith-number/H2XLKGD34GTFICNOBH34PCFATX/events.json","paper":"https://pith.science/paper/H2XLKGD3"},"agent_actions":{"view_html":"https://pith.science/pith/H2XLKGD34GTFICNOBH34PCFATX","download_json":"https://pith.science/pith/H2XLKGD34GTFICNOBH34PCFATX.json","view_paper":"https://pith.science/paper/H2XLKGD3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1504.01983&json=true","fetch_graph":"https://pith.science/api/pith-number/H2XLKGD34GTFICNOBH34PCFATX/graph.json","fetch_events":"https://pith.science/api/pith-number/H2XLKGD34GTFICNOBH34PCFATX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/H2XLKGD34GTFICNOBH34PCFATX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/H2XLKGD34GTFICNOBH34PCFATX/action/storage_attestation","attest_author":"https://pith.science/pith/H2XLKGD34GTFICNOBH34PCFATX/action/author_attestation","sign_citation":"https://pith.science/pith/H2XLKGD34GTFICNOBH34PCFATX/action/citation_signature","submit_replication":"https://pith.science/pith/H2XLKGD34GTFICNOBH34PCFATX/action/replication_record"}},"created_at":"2026-05-18T02:19:17.605521+00:00","updated_at":"2026-05-18T02:19:17.605521+00:00"}