{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:5OFZEBZOTOCTBSYQNGXOZ5BC7U","short_pith_number":"pith:5OFZEBZO","schema_version":"1.0","canonical_sha256":"eb8b92072e9b8530cb1069aeecf422fd0abf2bfcdf2f7b6ad6582e2d95fbe709","source":{"kind":"arxiv","id":"1609.07522","version":1},"attestation_state":"computed","paper":{"title":"Interpreting formulas of divisible lattice ordered abelian groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Marcus Tressl","submitted_at":"2016-09-23T21:24:58Z","abstract_excerpt":"We show that a large class of divisible abelian $\\ell$-groups (lattice ordered groups) of continuous functions is interpretable (in a certain sense) in the lattice of the zero sets of these functions. This has various applications to the model theory of these $\\ell$-groups, including decidability results."},"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":"1609.07522","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2016-09-23T21:24:58Z","cross_cats_sorted":[],"title_canon_sha256":"dd38442a3c4666489019c13c9fce745609aec59df0033b088aaae36803a1e395","abstract_canon_sha256":"a57266b65229722ae2d20f1785acb4095d9cc7003aae0ad2c48e14994dd0042e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:03:56.161206Z","signature_b64":"WXIf0S/ckEwRxuaM5+bud+PoM3gmDpuNNkLptnFU03yvaZcXFL7GJZEya0LDwSPXl50W/ek6kizk3sS2H38/Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb8b92072e9b8530cb1069aeecf422fd0abf2bfcdf2f7b6ad6582e2d95fbe709","last_reissued_at":"2026-05-18T01:03:56.160463Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:03:56.160463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Interpreting formulas of divisible lattice ordered abelian groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Marcus Tressl","submitted_at":"2016-09-23T21:24:58Z","abstract_excerpt":"We show that a large class of divisible abelian $\\ell$-groups (lattice ordered groups) of continuous functions is interpretable (in a certain sense) in the lattice of the zero sets of these functions. This has various applications to the model theory of these $\\ell$-groups, including decidability results."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.07522","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":"1609.07522","created_at":"2026-05-18T01:03:56.160597+00:00"},{"alias_kind":"arxiv_version","alias_value":"1609.07522v1","created_at":"2026-05-18T01:03:56.160597+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.07522","created_at":"2026-05-18T01:03:56.160597+00:00"},{"alias_kind":"pith_short_12","alias_value":"5OFZEBZOTOCT","created_at":"2026-05-18T12:30:01.593930+00:00"},{"alias_kind":"pith_short_16","alias_value":"5OFZEBZOTOCTBSYQ","created_at":"2026-05-18T12:30:01.593930+00:00"},{"alias_kind":"pith_short_8","alias_value":"5OFZEBZO","created_at":"2026-05-18T12:30:01.593930+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2603.09423","citing_title":"A Model Companion for Abelian Lattice-Ordered Groups with a Valuation","ref_index":16,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5OFZEBZOTOCTBSYQNGXOZ5BC7U","json":"https://pith.science/pith/5OFZEBZOTOCTBSYQNGXOZ5BC7U.json","graph_json":"https://pith.science/api/pith-number/5OFZEBZOTOCTBSYQNGXOZ5BC7U/graph.json","events_json":"https://pith.science/api/pith-number/5OFZEBZOTOCTBSYQNGXOZ5BC7U/events.json","paper":"https://pith.science/paper/5OFZEBZO"},"agent_actions":{"view_html":"https://pith.science/pith/5OFZEBZOTOCTBSYQNGXOZ5BC7U","download_json":"https://pith.science/pith/5OFZEBZOTOCTBSYQNGXOZ5BC7U.json","view_paper":"https://pith.science/paper/5OFZEBZO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1609.07522&json=true","fetch_graph":"https://pith.science/api/pith-number/5OFZEBZOTOCTBSYQNGXOZ5BC7U/graph.json","fetch_events":"https://pith.science/api/pith-number/5OFZEBZOTOCTBSYQNGXOZ5BC7U/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5OFZEBZOTOCTBSYQNGXOZ5BC7U/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5OFZEBZOTOCTBSYQNGXOZ5BC7U/action/storage_attestation","attest_author":"https://pith.science/pith/5OFZEBZOTOCTBSYQNGXOZ5BC7U/action/author_attestation","sign_citation":"https://pith.science/pith/5OFZEBZOTOCTBSYQNGXOZ5BC7U/action/citation_signature","submit_replication":"https://pith.science/pith/5OFZEBZOTOCTBSYQNGXOZ5BC7U/action/replication_record"}},"created_at":"2026-05-18T01:03:56.160597+00:00","updated_at":"2026-05-18T01:03:56.160597+00:00"}