{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:J5SRVRWP34MNFQXLZSHZODCVRY","short_pith_number":"pith:J5SRVRWP","schema_version":"1.0","canonical_sha256":"4f651ac6cfdf18d2c2ebcc8f970c558e014fc7a23fdf0eba6de2ec2aac0d3c86","source":{"kind":"arxiv","id":"2607.13073","version":1},"attestation_state":"computed","paper":{"title":"Probabilistic Extension of Neuro-Symbolic AGI Robots based on Belnap's Typed Intensional FOL","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.AI","authors_text":"Zoran Majkic","submitted_at":"2026-07-12T15:54:58Z","abstract_excerpt":"Neuro-symbolic AI based on $IFOL_B$ is a way to combine neural learning and symbolic reasoning to overcome limitations of purely neural systems (like lack of interpretability and logical structure) with formal logical machinery for self-reference. In this paper we expand the cognitive power of $IFOL_B$ by using the probability computation for the currently unknown sentences, based on Nilsson's probability structure for the $IFOL_B$. We introduce the global symmetry transformation that preserves the current knowledge database and logical deduction, and the local one used for real-time decisions"},"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":"2607.13073","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2026-07-12T15:54:58Z","cross_cats_sorted":[],"title_canon_sha256":"c5b7f64f0dabeb37f0338f85aee20d86dae2cae698670c437d0e35fb47b82b28","abstract_canon_sha256":"33fa9a68021631606a93019dc0eb6078b9c31ce914d5e102378a397205c9425f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-16T00:21:54.530988Z","signature_b64":"5p+j8V2ISjThlUv53g4DiBr2gkhjJiOKY6DjqtW1SqAOdTf2O/veQ9eI60neq0F85yK24fC6pUSCg7NCEmvJAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4f651ac6cfdf18d2c2ebcc8f970c558e014fc7a23fdf0eba6de2ec2aac0d3c86","last_reissued_at":"2026-07-16T00:21:54.530117Z","signature_status":"signed_v1","first_computed_at":"2026-07-16T00:21:54.530117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Probabilistic Extension of Neuro-Symbolic AGI Robots based on Belnap's Typed Intensional FOL","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.AI","authors_text":"Zoran Majkic","submitted_at":"2026-07-12T15:54:58Z","abstract_excerpt":"Neuro-symbolic AI based on $IFOL_B$ is a way to combine neural learning and symbolic reasoning to overcome limitations of purely neural systems (like lack of interpretability and logical structure) with formal logical machinery for self-reference. In this paper we expand the cognitive power of $IFOL_B$ by using the probability computation for the currently unknown sentences, based on Nilsson's probability structure for the $IFOL_B$. We introduce the global symmetry transformation that preserves the current knowledge database and logical deduction, and the local one used for real-time decisions"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.13073","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/2607.13073/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":"2607.13073","created_at":"2026-07-16T00:21:54.530583+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.13073v1","created_at":"2026-07-16T00:21:54.530583+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.13073","created_at":"2026-07-16T00:21:54.530583+00:00"},{"alias_kind":"pith_short_12","alias_value":"J5SRVRWP34MN","created_at":"2026-07-16T00:21:54.530583+00:00"},{"alias_kind":"pith_short_16","alias_value":"J5SRVRWP34MNFQXL","created_at":"2026-07-16T00:21:54.530583+00:00"},{"alias_kind":"pith_short_8","alias_value":"J5SRVRWP","created_at":"2026-07-16T00:21:54.530583+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/J5SRVRWP34MNFQXLZSHZODCVRY","json":"https://pith.science/pith/J5SRVRWP34MNFQXLZSHZODCVRY.json","graph_json":"https://pith.science/api/pith-number/J5SRVRWP34MNFQXLZSHZODCVRY/graph.json","events_json":"https://pith.science/api/pith-number/J5SRVRWP34MNFQXLZSHZODCVRY/events.json","paper":"https://pith.science/paper/J5SRVRWP"},"agent_actions":{"view_html":"https://pith.science/pith/J5SRVRWP34MNFQXLZSHZODCVRY","download_json":"https://pith.science/pith/J5SRVRWP34MNFQXLZSHZODCVRY.json","view_paper":"https://pith.science/paper/J5SRVRWP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.13073&json=true","fetch_graph":"https://pith.science/api/pith-number/J5SRVRWP34MNFQXLZSHZODCVRY/graph.json","fetch_events":"https://pith.science/api/pith-number/J5SRVRWP34MNFQXLZSHZODCVRY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/J5SRVRWP34MNFQXLZSHZODCVRY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/J5SRVRWP34MNFQXLZSHZODCVRY/action/storage_attestation","attest_author":"https://pith.science/pith/J5SRVRWP34MNFQXLZSHZODCVRY/action/author_attestation","sign_citation":"https://pith.science/pith/J5SRVRWP34MNFQXLZSHZODCVRY/action/citation_signature","submit_replication":"https://pith.science/pith/J5SRVRWP34MNFQXLZSHZODCVRY/action/replication_record"}},"created_at":"2026-07-16T00:21:54.530583+00:00","updated_at":"2026-07-16T00:21:54.530583+00:00"}