{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:S6FF3NZIVFMP2MY2WWYITVOW74","short_pith_number":"pith:S6FF3NZI","schema_version":"1.0","canonical_sha256":"978a5db728a958fd331ab5b089d5d6ff088c83de0fcdaf03b6e67e6d56c362cc","source":{"kind":"arxiv","id":"2507.00244","version":1},"attestation_state":"computed","paper":{"title":"The Algebraic Structure of Morphosyntax","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"cs.CL","authors_text":"Isabella Senturia, Matilde Marcolli","submitted_at":"2025-06-30T20:26:32Z","abstract_excerpt":"Within the context of the mathematical formulation of Merge and the Strong Minimalist Thesis, we present a mathematical model of the morphology-syntax interface. In this setting, morphology has compositional properties responsible for word formation, organized into a magma of morphological trees. However, unlike syntax, we do not have movement within morphology. A coproduct decomposition exists, but it requires extending the set of morphological trees beyond those which are generated solely by the magma, to a larger set of possible morphological inputs to syntactic trees. These participate in "},"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":"2507.00244","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CL","submitted_at":"2025-06-30T20:26:32Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"d93678795afa4ddc8b73bf12133aeb5a2edc401a11702efa930f3f27fafc9ab3","abstract_canon_sha256":"2ebbc74bda9189a75dfe0a8cf2529c758fa5f0459fe6cc625c37bdaddcd390f0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:30:04.994614Z","signature_b64":"yQ+vMXOEPe5Q6tQi0PAvKk5Fk8R5m+8Q1XNARnMoFdWAUD+4AXh9ZzpuDgGM50bEH0EL+XDnB6v61UaAAjUMCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"978a5db728a958fd331ab5b089d5d6ff088c83de0fcdaf03b6e67e6d56c362cc","last_reissued_at":"2026-07-05T11:30:04.994141Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:30:04.994141Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Algebraic Structure of Morphosyntax","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"cs.CL","authors_text":"Isabella Senturia, Matilde Marcolli","submitted_at":"2025-06-30T20:26:32Z","abstract_excerpt":"Within the context of the mathematical formulation of Merge and the Strong Minimalist Thesis, we present a mathematical model of the morphology-syntax interface. In this setting, morphology has compositional properties responsible for word formation, organized into a magma of morphological trees. However, unlike syntax, we do not have movement within morphology. A coproduct decomposition exists, but it requires extending the set of morphological trees beyond those which are generated solely by the magma, to a larger set of possible morphological inputs to syntactic trees. These participate in "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.00244","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/2507.00244/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":"2507.00244","created_at":"2026-07-05T11:30:04.994196+00:00"},{"alias_kind":"arxiv_version","alias_value":"2507.00244v1","created_at":"2026-07-05T11:30:04.994196+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.00244","created_at":"2026-07-05T11:30:04.994196+00:00"},{"alias_kind":"pith_short_12","alias_value":"S6FF3NZIVFMP","created_at":"2026-07-05T11:30:04.994196+00:00"},{"alias_kind":"pith_short_16","alias_value":"S6FF3NZIVFMP2MY2","created_at":"2026-07-05T11:30:04.994196+00:00"},{"alias_kind":"pith_short_8","alias_value":"S6FF3NZI","created_at":"2026-07-05T11:30:04.994196+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/S6FF3NZIVFMP2MY2WWYITVOW74","json":"https://pith.science/pith/S6FF3NZIVFMP2MY2WWYITVOW74.json","graph_json":"https://pith.science/api/pith-number/S6FF3NZIVFMP2MY2WWYITVOW74/graph.json","events_json":"https://pith.science/api/pith-number/S6FF3NZIVFMP2MY2WWYITVOW74/events.json","paper":"https://pith.science/paper/S6FF3NZI"},"agent_actions":{"view_html":"https://pith.science/pith/S6FF3NZIVFMP2MY2WWYITVOW74","download_json":"https://pith.science/pith/S6FF3NZIVFMP2MY2WWYITVOW74.json","view_paper":"https://pith.science/paper/S6FF3NZI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2507.00244&json=true","fetch_graph":"https://pith.science/api/pith-number/S6FF3NZIVFMP2MY2WWYITVOW74/graph.json","fetch_events":"https://pith.science/api/pith-number/S6FF3NZIVFMP2MY2WWYITVOW74/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/S6FF3NZIVFMP2MY2WWYITVOW74/action/timestamp_anchor","attest_storage":"https://pith.science/pith/S6FF3NZIVFMP2MY2WWYITVOW74/action/storage_attestation","attest_author":"https://pith.science/pith/S6FF3NZIVFMP2MY2WWYITVOW74/action/author_attestation","sign_citation":"https://pith.science/pith/S6FF3NZIVFMP2MY2WWYITVOW74/action/citation_signature","submit_replication":"https://pith.science/pith/S6FF3NZIVFMP2MY2WWYITVOW74/action/replication_record"}},"created_at":"2026-07-05T11:30:04.994196+00:00","updated_at":"2026-07-05T11:30:04.994196+00:00"}