{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:MPPG4MKIL66HY4P63HPPJKVKYG","short_pith_number":"pith:MPPG4MKI","schema_version":"1.0","canonical_sha256":"63de6e31485fbc7c71fed9def4aaaac18141bd294e43120a6d16c11da5d1b7c7","source":{"kind":"arxiv","id":"1206.0135","version":1},"attestation_state":"computed","paper":{"title":"On a Newton filtration for functions on a curve singularity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Sabir M. Gusein-Zade, Wolfgang Ebeling","submitted_at":"2012-06-01T09:56:04Z","abstract_excerpt":"In a previous paper, there was defined a multi-index filtration on the ring of functions on a hypersurface singularity corresponding to its Newton diagram generalizing (for a curve singularity) the divisorial one. Its Poincar\\'e series was computed for plane curve singularities non-degenerate with respect to their Newton diagrams. Here we use another technique to compute the Poincar\\'e series for plane curve singularities without the assumption that they are non-degenerate with respect to their Newton diagrams. We show that the Poincar\\'e series only depends on the Newton diagram and not on th"},"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":"1206.0135","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-06-01T09:56:04Z","cross_cats_sorted":[],"title_canon_sha256":"ead847c8d21833a76b2968cd9353e0a345257294aa53c113067281bc19b41932","abstract_canon_sha256":"d0ae08f3ef48a49decf7e63313f53883921f70342a08c645cb6a6b4416f61dc5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:54:27.026753Z","signature_b64":"is9jpIS2Zamohzbsm35zs7kJQ2YgynN/mAVJtgv9boDVjf9dDAFkNREhti4Cpsssxy/qCSDFaXRTQueX6gdmDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"63de6e31485fbc7c71fed9def4aaaac18141bd294e43120a6d16c11da5d1b7c7","last_reissued_at":"2026-05-18T03:54:27.026213Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:54:27.026213Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On a Newton filtration for functions on a curve singularity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Sabir M. Gusein-Zade, Wolfgang Ebeling","submitted_at":"2012-06-01T09:56:04Z","abstract_excerpt":"In a previous paper, there was defined a multi-index filtration on the ring of functions on a hypersurface singularity corresponding to its Newton diagram generalizing (for a curve singularity) the divisorial one. Its Poincar\\'e series was computed for plane curve singularities non-degenerate with respect to their Newton diagrams. Here we use another technique to compute the Poincar\\'e series for plane curve singularities without the assumption that they are non-degenerate with respect to their Newton diagrams. We show that the Poincar\\'e series only depends on the Newton diagram and not on th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.0135","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":"1206.0135","created_at":"2026-05-18T03:54:27.026292+00:00"},{"alias_kind":"arxiv_version","alias_value":"1206.0135v1","created_at":"2026-05-18T03:54:27.026292+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.0135","created_at":"2026-05-18T03:54:27.026292+00:00"},{"alias_kind":"pith_short_12","alias_value":"MPPG4MKIL66H","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_16","alias_value":"MPPG4MKIL66HY4P6","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_8","alias_value":"MPPG4MKI","created_at":"2026-05-18T12:27:14.488303+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/MPPG4MKIL66HY4P63HPPJKVKYG","json":"https://pith.science/pith/MPPG4MKIL66HY4P63HPPJKVKYG.json","graph_json":"https://pith.science/api/pith-number/MPPG4MKIL66HY4P63HPPJKVKYG/graph.json","events_json":"https://pith.science/api/pith-number/MPPG4MKIL66HY4P63HPPJKVKYG/events.json","paper":"https://pith.science/paper/MPPG4MKI"},"agent_actions":{"view_html":"https://pith.science/pith/MPPG4MKIL66HY4P63HPPJKVKYG","download_json":"https://pith.science/pith/MPPG4MKIL66HY4P63HPPJKVKYG.json","view_paper":"https://pith.science/paper/MPPG4MKI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1206.0135&json=true","fetch_graph":"https://pith.science/api/pith-number/MPPG4MKIL66HY4P63HPPJKVKYG/graph.json","fetch_events":"https://pith.science/api/pith-number/MPPG4MKIL66HY4P63HPPJKVKYG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MPPG4MKIL66HY4P63HPPJKVKYG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MPPG4MKIL66HY4P63HPPJKVKYG/action/storage_attestation","attest_author":"https://pith.science/pith/MPPG4MKIL66HY4P63HPPJKVKYG/action/author_attestation","sign_citation":"https://pith.science/pith/MPPG4MKIL66HY4P63HPPJKVKYG/action/citation_signature","submit_replication":"https://pith.science/pith/MPPG4MKIL66HY4P63HPPJKVKYG/action/replication_record"}},"created_at":"2026-05-18T03:54:27.026292+00:00","updated_at":"2026-05-18T03:54:27.026292+00:00"}