{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:DA7FAGJW7VA5XKPD4YN2CZDBNY","short_pith_number":"pith:DA7FAGJW","canonical_record":{"source":{"id":"1305.5820","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.LO","submitted_at":"2013-05-24T18:27:52Z","cross_cats_sorted":["math.LO"],"title_canon_sha256":"cc731f0b8410cd7d6d80d9272cbe6bd1745de92f0bbb0539dcc20182b0b8eba1","abstract_canon_sha256":"929482ec4c297130e79425cbe23352a49bbf9b87a50cc43ae512633fbd8f3df6"},"schema_version":"1.0"},"canonical_sha256":"183e501936fd41dba9e3e61ba164616e229b553bcb9bff7b444eee9fe413530c","source":{"kind":"arxiv","id":"1305.5820","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.5820","created_at":"2026-05-18T03:24:54Z"},{"alias_kind":"arxiv_version","alias_value":"1305.5820v1","created_at":"2026-05-18T03:24:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.5820","created_at":"2026-05-18T03:24:54Z"},{"alias_kind":"pith_short_12","alias_value":"DA7FAGJW7VA5","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"DA7FAGJW7VA5XKPD","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"DA7FAGJW","created_at":"2026-05-18T12:27:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:DA7FAGJW7VA5XKPD4YN2CZDBNY","target":"record","payload":{"canonical_record":{"source":{"id":"1305.5820","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.LO","submitted_at":"2013-05-24T18:27:52Z","cross_cats_sorted":["math.LO"],"title_canon_sha256":"cc731f0b8410cd7d6d80d9272cbe6bd1745de92f0bbb0539dcc20182b0b8eba1","abstract_canon_sha256":"929482ec4c297130e79425cbe23352a49bbf9b87a50cc43ae512633fbd8f3df6"},"schema_version":"1.0"},"canonical_sha256":"183e501936fd41dba9e3e61ba164616e229b553bcb9bff7b444eee9fe413530c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:24:54.734194Z","signature_b64":"nl5dAQBjGEQQl63CXPpXdCt0FGtxIuYnlFf07NQDG2C5mjyDD0vnVp4hAR52AAsx/G/zskvvxUKb0f54gB/7BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"183e501936fd41dba9e3e61ba164616e229b553bcb9bff7b444eee9fe413530c","last_reissued_at":"2026-05-18T03:24:54.733555Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:24:54.733555Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.5820","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:24:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9JFaKKlLUkOUctjXPKeBM9PZBT7IVqsehXhpn4oWeXS9Beqjgc1ZcQNqDCfMaEW2dIH4Z3pT5/kJGnuzk0t9CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T16:41:22.878137Z"},"content_sha256":"fc17d4e4414859bde365a452cf9a1746cacbc4b1829e8bfddbe27a23c5f3097d","schema_version":"1.0","event_id":"sha256:fc17d4e4414859bde365a452cf9a1746cacbc4b1829e8bfddbe27a23c5f3097d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:DA7FAGJW7VA5XKPD4YN2CZDBNY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Model Theoretic Characterisations of Description Logics","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["math.LO"],"primary_cat":"cs.LO","authors_text":"Robert Piro","submitted_at":"2013-05-24T18:27:52Z","abstract_excerpt":"This thesis studies the model theoretic properties of the Description Logics (DLs) ALC, ALCI, ALCQ, as well as ALCO, ALCQO, ALCQIO and EL.\n  TBoxes of ALC, ALCI and ALCQ are characterised as fragments of FO which are invariant under global bisimulation and disjoint unions. The logics ALCO, ALCQO and ALCQIO, which incorporate individuals, are characterised w.r.t. to the class K of all interpretations which interpret individuals as singleton sets. The characterisations for TBoxes of ALCO and ALCQO both require additionally that an FO-sentence is, under certain circumstances, preserved under forw"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.5820","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:24:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cN7Sx85FBEMTu949I/guGKE9z7UGWttLKPqO8ln84TwEXdp/kLdq+64d/8XWepW1rMkPcgK8NhpDzebhpWc9BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T16:41:22.878763Z"},"content_sha256":"c87b43e1ce2e472a36adfcc0e54ecf85b8e1cfba59a25d8f4060364c6a936bf2","schema_version":"1.0","event_id":"sha256:c87b43e1ce2e472a36adfcc0e54ecf85b8e1cfba59a25d8f4060364c6a936bf2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DA7FAGJW7VA5XKPD4YN2CZDBNY/bundle.json","state_url":"https://pith.science/pith/DA7FAGJW7VA5XKPD4YN2CZDBNY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DA7FAGJW7VA5XKPD4YN2CZDBNY/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-07T16:41:22Z","links":{"resolver":"https://pith.science/pith/DA7FAGJW7VA5XKPD4YN2CZDBNY","bundle":"https://pith.science/pith/DA7FAGJW7VA5XKPD4YN2CZDBNY/bundle.json","state":"https://pith.science/pith/DA7FAGJW7VA5XKPD4YN2CZDBNY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DA7FAGJW7VA5XKPD4YN2CZDBNY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:DA7FAGJW7VA5XKPD4YN2CZDBNY","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"929482ec4c297130e79425cbe23352a49bbf9b87a50cc43ae512633fbd8f3df6","cross_cats_sorted":["math.LO"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.LO","submitted_at":"2013-05-24T18:27:52Z","title_canon_sha256":"cc731f0b8410cd7d6d80d9272cbe6bd1745de92f0bbb0539dcc20182b0b8eba1"},"schema_version":"1.0","source":{"id":"1305.5820","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.5820","created_at":"2026-05-18T03:24:54Z"},{"alias_kind":"arxiv_version","alias_value":"1305.5820v1","created_at":"2026-05-18T03:24:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.5820","created_at":"2026-05-18T03:24:54Z"},{"alias_kind":"pith_short_12","alias_value":"DA7FAGJW7VA5","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"DA7FAGJW7VA5XKPD","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"DA7FAGJW","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:c87b43e1ce2e472a36adfcc0e54ecf85b8e1cfba59a25d8f4060364c6a936bf2","target":"graph","created_at":"2026-05-18T03:24:54Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"This thesis studies the model theoretic properties of the Description Logics (DLs) ALC, ALCI, ALCQ, as well as ALCO, ALCQO, ALCQIO and EL.\n  TBoxes of ALC, ALCI and ALCQ are characterised as fragments of FO which are invariant under global bisimulation and disjoint unions. The logics ALCO, ALCQO and ALCQIO, which incorporate individuals, are characterised w.r.t. to the class K of all interpretations which interpret individuals as singleton sets. The characterisations for TBoxes of ALCO and ALCQO both require additionally that an FO-sentence is, under certain circumstances, preserved under forw","authors_text":"Robert Piro","cross_cats":["math.LO"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.LO","submitted_at":"2013-05-24T18:27:52Z","title":"Model Theoretic Characterisations of Description Logics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.5820","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:fc17d4e4414859bde365a452cf9a1746cacbc4b1829e8bfddbe27a23c5f3097d","target":"record","created_at":"2026-05-18T03:24:54Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"929482ec4c297130e79425cbe23352a49bbf9b87a50cc43ae512633fbd8f3df6","cross_cats_sorted":["math.LO"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.LO","submitted_at":"2013-05-24T18:27:52Z","title_canon_sha256":"cc731f0b8410cd7d6d80d9272cbe6bd1745de92f0bbb0539dcc20182b0b8eba1"},"schema_version":"1.0","source":{"id":"1305.5820","kind":"arxiv","version":1}},"canonical_sha256":"183e501936fd41dba9e3e61ba164616e229b553bcb9bff7b444eee9fe413530c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"183e501936fd41dba9e3e61ba164616e229b553bcb9bff7b444eee9fe413530c","first_computed_at":"2026-05-18T03:24:54.733555Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:24:54.733555Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nl5dAQBjGEQQl63CXPpXdCt0FGtxIuYnlFf07NQDG2C5mjyDD0vnVp4hAR52AAsx/G/zskvvxUKb0f54gB/7BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:24:54.734194Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.5820","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fc17d4e4414859bde365a452cf9a1746cacbc4b1829e8bfddbe27a23c5f3097d","sha256:c87b43e1ce2e472a36adfcc0e54ecf85b8e1cfba59a25d8f4060364c6a936bf2"],"state_sha256":"746666e74d5fe93c53099780450e0af056f7fc52db7525b46f1e8ec759290612"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1R5zp+MEVackOTtDJ+F/Hqzg5URW7Qqvq4z8gQOQFvmH63Ft4WK/WHXHVEfQYSmQAoyz/EYn3OZlHJqH++URCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T16:41:22.882055Z","bundle_sha256":"54df4e025db62f4270549cc6e005b9ed900efb8f617bc4268cffa5e3ac5cb377"}}