{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:DVU4NYPJIP3HECIHRFTBJXSEY4","short_pith_number":"pith:DVU4NYPJ","schema_version":"1.0","canonical_sha256":"1d69c6e1e943f6720907896614de44c715513b871a8f0b6aca5930a3118b6c50","source":{"kind":"arxiv","id":"2504.21756","version":1},"attestation_state":"computed","paper":{"title":"Ends of the strata of differentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.DS"],"primary_cat":"math.GT","authors_text":"Benjamin Dozier, MyeongJae Lee, Samuel Grushevsky","submitted_at":"2025-04-30T15:54:50Z","abstract_excerpt":"We enumerate the ends of each stratum of meromorphic 1-forms on Riemann surfaces with prescribed multiplicities of zeroes and poles. Our proof uses degeneration techniques based on the construction by Bainbridge-Chen-Gendron-Grushevsky-Moeller of the moduli space of multi-scale differentials, together with recent classification of connected components of generalized strata by Lee-Wong. In particular, from these results we quickly deduce the theorem for holomorphic 1-forms, originally proved by Boissy."},"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":"2504.21756","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2025-04-30T15:54:50Z","cross_cats_sorted":["math.AG","math.DS"],"title_canon_sha256":"2b7b16fbbcc800c8e7eace87996e87916abfa332ebfacac338d6b7225b465e0d","abstract_canon_sha256":"140833a8e3371f6c51a702cd288495acf398b37fe78e88ab129700e020d85cb7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:56:29.220014Z","signature_b64":"IBV6jmWCORBS3saZZyxhEDx5IPWLM88ErCOsMvOVc1k12+BAffIPAADWFU61W+FMsZanjrdXOPdbuooLTopfAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1d69c6e1e943f6720907896614de44c715513b871a8f0b6aca5930a3118b6c50","last_reissued_at":"2026-07-05T10:56:29.219574Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:56:29.219574Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ends of the strata of differentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.DS"],"primary_cat":"math.GT","authors_text":"Benjamin Dozier, MyeongJae Lee, Samuel Grushevsky","submitted_at":"2025-04-30T15:54:50Z","abstract_excerpt":"We enumerate the ends of each stratum of meromorphic 1-forms on Riemann surfaces with prescribed multiplicities of zeroes and poles. Our proof uses degeneration techniques based on the construction by Bainbridge-Chen-Gendron-Grushevsky-Moeller of the moduli space of multi-scale differentials, together with recent classification of connected components of generalized strata by Lee-Wong. In particular, from these results we quickly deduce the theorem for holomorphic 1-forms, originally proved by Boissy."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.21756","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/2504.21756/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2504.21756","created_at":"2026-07-05T10:56:29.219630+00:00"},{"alias_kind":"arxiv_version","alias_value":"2504.21756v1","created_at":"2026-07-05T10:56:29.219630+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.21756","created_at":"2026-07-05T10:56:29.219630+00:00"},{"alias_kind":"pith_short_12","alias_value":"DVU4NYPJIP3H","created_at":"2026-07-05T10:56:29.219630+00:00"},{"alias_kind":"pith_short_16","alias_value":"DVU4NYPJIP3HECIH","created_at":"2026-07-05T10:56:29.219630+00:00"},{"alias_kind":"pith_short_8","alias_value":"DVU4NYPJ","created_at":"2026-07-05T10:56:29.219630+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/DVU4NYPJIP3HECIHRFTBJXSEY4","json":"https://pith.science/pith/DVU4NYPJIP3HECIHRFTBJXSEY4.json","graph_json":"https://pith.science/api/pith-number/DVU4NYPJIP3HECIHRFTBJXSEY4/graph.json","events_json":"https://pith.science/api/pith-number/DVU4NYPJIP3HECIHRFTBJXSEY4/events.json","paper":"https://pith.science/paper/DVU4NYPJ"},"agent_actions":{"view_html":"https://pith.science/pith/DVU4NYPJIP3HECIHRFTBJXSEY4","download_json":"https://pith.science/pith/DVU4NYPJIP3HECIHRFTBJXSEY4.json","view_paper":"https://pith.science/paper/DVU4NYPJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2504.21756&json=true","fetch_graph":"https://pith.science/api/pith-number/DVU4NYPJIP3HECIHRFTBJXSEY4/graph.json","fetch_events":"https://pith.science/api/pith-number/DVU4NYPJIP3HECIHRFTBJXSEY4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DVU4NYPJIP3HECIHRFTBJXSEY4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DVU4NYPJIP3HECIHRFTBJXSEY4/action/storage_attestation","attest_author":"https://pith.science/pith/DVU4NYPJIP3HECIHRFTBJXSEY4/action/author_attestation","sign_citation":"https://pith.science/pith/DVU4NYPJIP3HECIHRFTBJXSEY4/action/citation_signature","submit_replication":"https://pith.science/pith/DVU4NYPJIP3HECIHRFTBJXSEY4/action/replication_record"}},"created_at":"2026-07-05T10:56:29.219630+00:00","updated_at":"2026-07-05T10:56:29.219630+00:00"}