{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:YK6LAQ4E2OHYPFWS24SMEMPMUA","short_pith_number":"pith:YK6LAQ4E","schema_version":"1.0","canonical_sha256":"c2bcb04384d38f8796d2d724c231eca0252a239caf0a025660880229b4a982dd","source":{"kind":"arxiv","id":"1609.05042","version":3},"attestation_state":"computed","paper":{"title":"An Analytic Method for $S$-Expansion involving Resonance and Reduction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"D. M. Pe\\~nafiel, F. Lingua, L. Ravera, M. C. Ipinza","submitted_at":"2016-09-16T13:24:25Z","abstract_excerpt":"In this paper we describe an analytic method able to give the multiplication table(s) of the set(s) involved in an $S$-expansion process (with either resonance or $0_S$-resonant-reduction) for reaching a target Lie (super)algebra from a starting one, after having properly chosen the partitions over subspaces of the considered (super)algebras. This analytic method gives us a simple set of expressions to find the partitions over the set(s) involved in the process. Then, we use the information coming from both the initial (super)algebra and the target one for reaching the multiplication table(s) "},"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":"1609.05042","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-09-16T13:24:25Z","cross_cats_sorted":[],"title_canon_sha256":"c55d614bc231b06626d0835f61a00570048f3f492c44fb8370e686e1d94dbf72","abstract_canon_sha256":"dab18dff906e15cf5db07267be2ae5ef233034f342d0fade0445c7c15c88c46a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:58:03.788773Z","signature_b64":"YfnfY0NZNYjavNEOhrA8t9fevpiVjAviAHejA5f/Y006xV4Bg28CGvQyBx/atkVBOuZpVtx77A63+rz+p8cCDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c2bcb04384d38f8796d2d724c231eca0252a239caf0a025660880229b4a982dd","last_reissued_at":"2026-05-18T00:58:03.788185Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:58:03.788185Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An Analytic Method for $S$-Expansion involving Resonance and Reduction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"D. M. Pe\\~nafiel, F. Lingua, L. Ravera, M. C. Ipinza","submitted_at":"2016-09-16T13:24:25Z","abstract_excerpt":"In this paper we describe an analytic method able to give the multiplication table(s) of the set(s) involved in an $S$-expansion process (with either resonance or $0_S$-resonant-reduction) for reaching a target Lie (super)algebra from a starting one, after having properly chosen the partitions over subspaces of the considered (super)algebras. This analytic method gives us a simple set of expressions to find the partitions over the set(s) involved in the process. Then, we use the information coming from both the initial (super)algebra and the target one for reaching the multiplication table(s) "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.05042","kind":"arxiv","version":3},"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":"1609.05042","created_at":"2026-05-18T00:58:03.788277+00:00"},{"alias_kind":"arxiv_version","alias_value":"1609.05042v3","created_at":"2026-05-18T00:58:03.788277+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.05042","created_at":"2026-05-18T00:58:03.788277+00:00"},{"alias_kind":"pith_short_12","alias_value":"YK6LAQ4E2OHY","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_16","alias_value":"YK6LAQ4E2OHYPFWS","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_8","alias_value":"YK6LAQ4E","created_at":"2026-05-18T12:30:53.716459+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/YK6LAQ4E2OHYPFWS24SMEMPMUA","json":"https://pith.science/pith/YK6LAQ4E2OHYPFWS24SMEMPMUA.json","graph_json":"https://pith.science/api/pith-number/YK6LAQ4E2OHYPFWS24SMEMPMUA/graph.json","events_json":"https://pith.science/api/pith-number/YK6LAQ4E2OHYPFWS24SMEMPMUA/events.json","paper":"https://pith.science/paper/YK6LAQ4E"},"agent_actions":{"view_html":"https://pith.science/pith/YK6LAQ4E2OHYPFWS24SMEMPMUA","download_json":"https://pith.science/pith/YK6LAQ4E2OHYPFWS24SMEMPMUA.json","view_paper":"https://pith.science/paper/YK6LAQ4E","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1609.05042&json=true","fetch_graph":"https://pith.science/api/pith-number/YK6LAQ4E2OHYPFWS24SMEMPMUA/graph.json","fetch_events":"https://pith.science/api/pith-number/YK6LAQ4E2OHYPFWS24SMEMPMUA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YK6LAQ4E2OHYPFWS24SMEMPMUA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YK6LAQ4E2OHYPFWS24SMEMPMUA/action/storage_attestation","attest_author":"https://pith.science/pith/YK6LAQ4E2OHYPFWS24SMEMPMUA/action/author_attestation","sign_citation":"https://pith.science/pith/YK6LAQ4E2OHYPFWS24SMEMPMUA/action/citation_signature","submit_replication":"https://pith.science/pith/YK6LAQ4E2OHYPFWS24SMEMPMUA/action/replication_record"}},"created_at":"2026-05-18T00:58:03.788277+00:00","updated_at":"2026-05-18T00:58:03.788277+00:00"}