{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:GUPCSHOCP6CPBBCT7QX2BFZ3DV","short_pith_number":"pith:GUPCSHOC","schema_version":"1.0","canonical_sha256":"351e291dc27f84f08453fc2fa0973b1d51974919272772c53763ee1e3316c1d5","source":{"kind":"arxiv","id":"1501.00445","version":1},"attestation_state":"computed","paper":{"title":"LND-Filtrations and Semi-Rigid Domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Bachar Alhajjar (IMB)","submitted_at":"2015-01-02T17:36:58Z","abstract_excerpt":"We investigate the filtration corresponding to the degree function induced by a non-zero locally nilpotent derivation and its associated graded algebra. We show that this kind of filtration, referred to as the LND-filtration, is the ideal candidate to study the structure of semi-rigid k-domains, that is, k-domains for which every non-zero locally nilpotent derivation gives rise to the same filtration. Indeed, the LND-filtration gives a very precise understanding of these structure, it is impeccable for the computation of the Makar-Limanov invariant, and it is an efficient tool to determine the"},"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":"1501.00445","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-01-02T17:36:58Z","cross_cats_sorted":[],"title_canon_sha256":"ed3cec0737aa4013512592d8264cfd559385ea816e6f741b27f4519c277cb26c","abstract_canon_sha256":"3258e08a8d006f6139559fc6116ce2267b36e1a33bf5ceee1b3fbea4a97fda64"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:30:09.165544Z","signature_b64":"km4FJWka36XbsWMkFsClm0l4k89m5VC7+j8l+c73KedEuiycjk0ds5O0qV7LEjPtbOtQZwwq2HMaQXLPCcsbCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"351e291dc27f84f08453fc2fa0973b1d51974919272772c53763ee1e3316c1d5","last_reissued_at":"2026-05-18T02:30:09.164894Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:30:09.164894Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"LND-Filtrations and Semi-Rigid Domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Bachar Alhajjar (IMB)","submitted_at":"2015-01-02T17:36:58Z","abstract_excerpt":"We investigate the filtration corresponding to the degree function induced by a non-zero locally nilpotent derivation and its associated graded algebra. We show that this kind of filtration, referred to as the LND-filtration, is the ideal candidate to study the structure of semi-rigid k-domains, that is, k-domains for which every non-zero locally nilpotent derivation gives rise to the same filtration. Indeed, the LND-filtration gives a very precise understanding of these structure, it is impeccable for the computation of the Makar-Limanov invariant, and it is an efficient tool to determine the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.00445","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":"1501.00445","created_at":"2026-05-18T02:30:09.164996+00:00"},{"alias_kind":"arxiv_version","alias_value":"1501.00445v1","created_at":"2026-05-18T02:30:09.164996+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.00445","created_at":"2026-05-18T02:30:09.164996+00:00"},{"alias_kind":"pith_short_12","alias_value":"GUPCSHOCP6CP","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_16","alias_value":"GUPCSHOCP6CPBBCT","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_8","alias_value":"GUPCSHOC","created_at":"2026-05-18T12:29:22.688609+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1906.11016","citing_title":"Rees algebras of additive group actions","ref_index":1,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GUPCSHOCP6CPBBCT7QX2BFZ3DV","json":"https://pith.science/pith/GUPCSHOCP6CPBBCT7QX2BFZ3DV.json","graph_json":"https://pith.science/api/pith-number/GUPCSHOCP6CPBBCT7QX2BFZ3DV/graph.json","events_json":"https://pith.science/api/pith-number/GUPCSHOCP6CPBBCT7QX2BFZ3DV/events.json","paper":"https://pith.science/paper/GUPCSHOC"},"agent_actions":{"view_html":"https://pith.science/pith/GUPCSHOCP6CPBBCT7QX2BFZ3DV","download_json":"https://pith.science/pith/GUPCSHOCP6CPBBCT7QX2BFZ3DV.json","view_paper":"https://pith.science/paper/GUPCSHOC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1501.00445&json=true","fetch_graph":"https://pith.science/api/pith-number/GUPCSHOCP6CPBBCT7QX2BFZ3DV/graph.json","fetch_events":"https://pith.science/api/pith-number/GUPCSHOCP6CPBBCT7QX2BFZ3DV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GUPCSHOCP6CPBBCT7QX2BFZ3DV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GUPCSHOCP6CPBBCT7QX2BFZ3DV/action/storage_attestation","attest_author":"https://pith.science/pith/GUPCSHOCP6CPBBCT7QX2BFZ3DV/action/author_attestation","sign_citation":"https://pith.science/pith/GUPCSHOCP6CPBBCT7QX2BFZ3DV/action/citation_signature","submit_replication":"https://pith.science/pith/GUPCSHOCP6CPBBCT7QX2BFZ3DV/action/replication_record"}},"created_at":"2026-05-18T02:30:09.164996+00:00","updated_at":"2026-05-18T02:30:09.164996+00:00"}