{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:LGMVSAPHQ673CXVEKYFXGBAD66","short_pith_number":"pith:LGMVSAPH","schema_version":"1.0","canonical_sha256":"59995901e787bfb15ea4560b730403f7b6d756fbf129a6fdc41c2349102ea2a9","source":{"kind":"arxiv","id":"1812.07298","version":2},"attestation_state":"computed","paper":{"title":"Hodge ideal and spectrum of weighted homogeneous isolated singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"In-Kyun Kim, Seung-Jo Jung, Youngho Yoon","submitted_at":"2018-12-18T11:12:09Z","abstract_excerpt":"This note provides a connection between the Hodge spectrum and the Hodge ideals recently developed by Musta\\c{t}\\v{a}--Popa in the case of weighted homogeneous isolated singularities."},"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":"1812.07298","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-12-18T11:12:09Z","cross_cats_sorted":[],"title_canon_sha256":"f913a6199752ce0804fb81a547f6d5519468fbccb78bfa7b60381a7d22bfe2fa","abstract_canon_sha256":"f780634d5f645dd65720ca87d1cb4308bfb842f52713b6b59ea186a1cc9b7db4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:57:30.514636Z","signature_b64":"C0mL9887Lg/pnYEOoregsX6UzK77l7DtM43IHun7p28kKqaZbrd7F/P8jKist1Kj+twyFTSfAbcZl8Y2p3FUCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"59995901e787bfb15ea4560b730403f7b6d756fbf129a6fdc41c2349102ea2a9","last_reissued_at":"2026-05-17T23:57:30.514100Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:57:30.514100Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hodge ideal and spectrum of weighted homogeneous isolated singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"In-Kyun Kim, Seung-Jo Jung, Youngho Yoon","submitted_at":"2018-12-18T11:12:09Z","abstract_excerpt":"This note provides a connection between the Hodge spectrum and the Hodge ideals recently developed by Musta\\c{t}\\v{a}--Popa in the case of weighted homogeneous isolated singularities."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.07298","kind":"arxiv","version":2},"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":"1812.07298","created_at":"2026-05-17T23:57:30.514159+00:00"},{"alias_kind":"arxiv_version","alias_value":"1812.07298v2","created_at":"2026-05-17T23:57:30.514159+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.07298","created_at":"2026-05-17T23:57:30.514159+00:00"},{"alias_kind":"pith_short_12","alias_value":"LGMVSAPHQ673","created_at":"2026-05-18T12:32:37.024351+00:00"},{"alias_kind":"pith_short_16","alias_value":"LGMVSAPHQ673CXVE","created_at":"2026-05-18T12:32:37.024351+00:00"},{"alias_kind":"pith_short_8","alias_value":"LGMVSAPH","created_at":"2026-05-18T12:32:37.024351+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2411.17601","citing_title":"Tjurina spectrum and graded symmetry of missing spectral numbers","ref_index":17,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/LGMVSAPHQ673CXVEKYFXGBAD66","json":"https://pith.science/pith/LGMVSAPHQ673CXVEKYFXGBAD66.json","graph_json":"https://pith.science/api/pith-number/LGMVSAPHQ673CXVEKYFXGBAD66/graph.json","events_json":"https://pith.science/api/pith-number/LGMVSAPHQ673CXVEKYFXGBAD66/events.json","paper":"https://pith.science/paper/LGMVSAPH"},"agent_actions":{"view_html":"https://pith.science/pith/LGMVSAPHQ673CXVEKYFXGBAD66","download_json":"https://pith.science/pith/LGMVSAPHQ673CXVEKYFXGBAD66.json","view_paper":"https://pith.science/paper/LGMVSAPH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1812.07298&json=true","fetch_graph":"https://pith.science/api/pith-number/LGMVSAPHQ673CXVEKYFXGBAD66/graph.json","fetch_events":"https://pith.science/api/pith-number/LGMVSAPHQ673CXVEKYFXGBAD66/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LGMVSAPHQ673CXVEKYFXGBAD66/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LGMVSAPHQ673CXVEKYFXGBAD66/action/storage_attestation","attest_author":"https://pith.science/pith/LGMVSAPHQ673CXVEKYFXGBAD66/action/author_attestation","sign_citation":"https://pith.science/pith/LGMVSAPHQ673CXVEKYFXGBAD66/action/citation_signature","submit_replication":"https://pith.science/pith/LGMVSAPHQ673CXVEKYFXGBAD66/action/replication_record"}},"created_at":"2026-05-17T23:57:30.514159+00:00","updated_at":"2026-05-17T23:57:30.514159+00:00"}