{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:KD27HO3U5U6AVRDWYLYLBXRZAJ","short_pith_number":"pith:KD27HO3U","schema_version":"1.0","canonical_sha256":"50f5f3bb74ed3c0ac476c2f0b0de39024123d439dbc4c01b181d198a3edb55dc","source":{"kind":"arxiv","id":"1204.5093","version":1},"attestation_state":"computed","paper":{"title":"The Distributed Ontology Language (DOL): Ontology Integration and Interoperability Applied to Mathematical Formalization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Christoph Lange, Michael Gr\\\"uninger, Oliver Kutz, Till Mossakowski","submitted_at":"2012-04-23T16:05:43Z","abstract_excerpt":"The Distributed Ontology Language (DOL) is currently being standardized within the OntoIOp (Ontology Integration and Interoperability) activity of ISO/TC 37/SC 3. It aims at providing a unified framework for (1) ontologies formalized in heterogeneous logics, (2) modular ontologies, (3) links between ontologies, and (4) annotation of ontologies.\n  This paper focuses on an application of DOL's meta-theoretical features in mathematical formalization: validating relationships between ontological formalizations of mathematical concepts in COLORE (Common Logic Repository), which provide the foundati"},"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":"1204.5093","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-04-23T16:05:43Z","cross_cats_sorted":[],"title_canon_sha256":"66b8a29427c10369ed35d65a38ece00dc3d7f6cfcc9f1eab4c15c90a8ff225b6","abstract_canon_sha256":"e6df192cc49c873178d84ab2093b883fce59bb533be9bc85f8f3b6754fb7e978"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:57:14.786282Z","signature_b64":"dL/Ka7vxRd6FzxEwAj9JxiPBJ7qhvBZdyHWcL38KQzt0RkE95wlaUsZwxWjfib5YY/Nr+oWIstJ9U9ZL0iNjCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"50f5f3bb74ed3c0ac476c2f0b0de39024123d439dbc4c01b181d198a3edb55dc","last_reissued_at":"2026-05-18T03:57:14.785842Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:57:14.785842Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Distributed Ontology Language (DOL): Ontology Integration and Interoperability Applied to Mathematical Formalization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Christoph Lange, Michael Gr\\\"uninger, Oliver Kutz, Till Mossakowski","submitted_at":"2012-04-23T16:05:43Z","abstract_excerpt":"The Distributed Ontology Language (DOL) is currently being standardized within the OntoIOp (Ontology Integration and Interoperability) activity of ISO/TC 37/SC 3. It aims at providing a unified framework for (1) ontologies formalized in heterogeneous logics, (2) modular ontologies, (3) links between ontologies, and (4) annotation of ontologies.\n  This paper focuses on an application of DOL's meta-theoretical features in mathematical formalization: validating relationships between ontological formalizations of mathematical concepts in COLORE (Common Logic Repository), which provide the foundati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.5093","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":"1204.5093","created_at":"2026-05-18T03:57:14.785904+00:00"},{"alias_kind":"arxiv_version","alias_value":"1204.5093v1","created_at":"2026-05-18T03:57:14.785904+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.5093","created_at":"2026-05-18T03:57:14.785904+00:00"},{"alias_kind":"pith_short_12","alias_value":"KD27HO3U5U6A","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_16","alias_value":"KD27HO3U5U6AVRDW","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_8","alias_value":"KD27HO3U","created_at":"2026-05-18T12:27:11.947152+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/KD27HO3U5U6AVRDWYLYLBXRZAJ","json":"https://pith.science/pith/KD27HO3U5U6AVRDWYLYLBXRZAJ.json","graph_json":"https://pith.science/api/pith-number/KD27HO3U5U6AVRDWYLYLBXRZAJ/graph.json","events_json":"https://pith.science/api/pith-number/KD27HO3U5U6AVRDWYLYLBXRZAJ/events.json","paper":"https://pith.science/paper/KD27HO3U"},"agent_actions":{"view_html":"https://pith.science/pith/KD27HO3U5U6AVRDWYLYLBXRZAJ","download_json":"https://pith.science/pith/KD27HO3U5U6AVRDWYLYLBXRZAJ.json","view_paper":"https://pith.science/paper/KD27HO3U","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1204.5093&json=true","fetch_graph":"https://pith.science/api/pith-number/KD27HO3U5U6AVRDWYLYLBXRZAJ/graph.json","fetch_events":"https://pith.science/api/pith-number/KD27HO3U5U6AVRDWYLYLBXRZAJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KD27HO3U5U6AVRDWYLYLBXRZAJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KD27HO3U5U6AVRDWYLYLBXRZAJ/action/storage_attestation","attest_author":"https://pith.science/pith/KD27HO3U5U6AVRDWYLYLBXRZAJ/action/author_attestation","sign_citation":"https://pith.science/pith/KD27HO3U5U6AVRDWYLYLBXRZAJ/action/citation_signature","submit_replication":"https://pith.science/pith/KD27HO3U5U6AVRDWYLYLBXRZAJ/action/replication_record"}},"created_at":"2026-05-18T03:57:14.785904+00:00","updated_at":"2026-05-18T03:57:14.785904+00:00"}