{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:J5SRVRWP34MNFQXLZSHZODCVRY","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":"33fa9a68021631606a93019dc0eb6078b9c31ce914d5e102378a397205c9425f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2026-07-12T15:54:58Z","title_canon_sha256":"c5b7f64f0dabeb37f0338f85aee20d86dae2cae698670c437d0e35fb47b82b28"},"schema_version":"1.0","source":{"id":"2607.13073","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.13073","created_at":"2026-07-16T00:21:54Z"},{"alias_kind":"arxiv_version","alias_value":"2607.13073v1","created_at":"2026-07-16T00:21:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.13073","created_at":"2026-07-16T00:21:54Z"},{"alias_kind":"pith_short_12","alias_value":"J5SRVRWP34MN","created_at":"2026-07-16T00:21:54Z"},{"alias_kind":"pith_short_16","alias_value":"J5SRVRWP34MNFQXL","created_at":"2026-07-16T00:21:54Z"},{"alias_kind":"pith_short_8","alias_value":"J5SRVRWP","created_at":"2026-07-16T00:21:54Z"}],"graph_snapshots":[{"event_id":"sha256:f003c77f6e246d5c88bc9c90644cd4b19844d69d91c5ed53e4d3f08af9153787","target":"graph","created_at":"2026-07-16T00:21:54Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2607.13073/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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","authors_text":"Zoran Majkic","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2026-07-12T15:54:58Z","title":"Probabilistic Extension of Neuro-Symbolic AGI Robots based on Belnap's Typed Intensional FOL"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.13073","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":"sha256:9675e5fbfc29fd7aaaf594cc7323a2b737bf350f8655a48506f73528842bfe1c","target":"record","created_at":"2026-07-16T00:21:54Z","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":"33fa9a68021631606a93019dc0eb6078b9c31ce914d5e102378a397205c9425f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2026-07-12T15:54:58Z","title_canon_sha256":"c5b7f64f0dabeb37f0338f85aee20d86dae2cae698670c437d0e35fb47b82b28"},"schema_version":"1.0","source":{"id":"2607.13073","kind":"arxiv","version":1}},"canonical_sha256":"4f651ac6cfdf18d2c2ebcc8f970c558e014fc7a23fdf0eba6de2ec2aac0d3c86","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4f651ac6cfdf18d2c2ebcc8f970c558e014fc7a23fdf0eba6de2ec2aac0d3c86","first_computed_at":"2026-07-16T00:21:54.530117Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-16T00:21:54.530117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5p+j8V2ISjThlUv53g4DiBr2gkhjJiOKY6DjqtW1SqAOdTf2O/veQ9eI60neq0F85yK24fC6pUSCg7NCEmvJAw==","signature_status":"signed_v1","signed_at":"2026-07-16T00:21:54.530988Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.13073","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9675e5fbfc29fd7aaaf594cc7323a2b737bf350f8655a48506f73528842bfe1c","sha256:f003c77f6e246d5c88bc9c90644cd4b19844d69d91c5ed53e4d3f08af9153787"],"state_sha256":"a44725631a4941a2c693ccd084d44ddca911b418c3b1403d6f6b3121f698cb36"}