{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:ZOOUTL6ZJ3D55AMT76HEQSMF2S","short_pith_number":"pith:ZOOUTL6Z","canonical_record":{"source":{"id":"2506.04241","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-05-28T12:00:37Z","cross_cats_sorted":[],"title_canon_sha256":"dcd8a166f8a0aab27b18c9235448a5dc87cd26747f119e9c828b9a9e0bd6907a","abstract_canon_sha256":"b6f359156a2cbcd748d3e6843ecec9ee414a7bb97242f3f2c6e34637f63c831a"},"schema_version":"1.0"},"canonical_sha256":"cb9d49afd94ec7de8193ff8e484985d499e40103f49982d3afb533ef4af06c14","source":{"kind":"arxiv","id":"2506.04241","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.04241","created_at":"2026-07-05T11:16:10Z"},{"alias_kind":"arxiv_version","alias_value":"2506.04241v1","created_at":"2026-07-05T11:16:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.04241","created_at":"2026-07-05T11:16:10Z"},{"alias_kind":"pith_short_12","alias_value":"ZOOUTL6ZJ3D5","created_at":"2026-07-05T11:16:10Z"},{"alias_kind":"pith_short_16","alias_value":"ZOOUTL6ZJ3D55AMT","created_at":"2026-07-05T11:16:10Z"},{"alias_kind":"pith_short_8","alias_value":"ZOOUTL6Z","created_at":"2026-07-05T11:16:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:ZOOUTL6ZJ3D55AMT76HEQSMF2S","target":"record","payload":{"canonical_record":{"source":{"id":"2506.04241","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-05-28T12:00:37Z","cross_cats_sorted":[],"title_canon_sha256":"dcd8a166f8a0aab27b18c9235448a5dc87cd26747f119e9c828b9a9e0bd6907a","abstract_canon_sha256":"b6f359156a2cbcd748d3e6843ecec9ee414a7bb97242f3f2c6e34637f63c831a"},"schema_version":"1.0"},"canonical_sha256":"cb9d49afd94ec7de8193ff8e484985d499e40103f49982d3afb533ef4af06c14","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:16:10.909298Z","signature_b64":"15ZsBHUfc395qR9Yvck67NLu5uBj7cKglVi4MZn/ngRkGsU/fNshFpQEI/UyvqLlyTu/uAnJnmYse0+pHerUAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cb9d49afd94ec7de8193ff8e484985d499e40103f49982d3afb533ef4af06c14","last_reissued_at":"2026-07-05T11:16:10.907849Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:16:10.907849Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.04241","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":"2026-07-05T11:16:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ceUZQS0rV5hlTeIPr+UZF97+spLrmscee2Yzn3We0iEozKpxYykXI2SUFkNnBrwo4xBmrMnnfIBIxyKZIs9qDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T23:51:58.668628Z"},"content_sha256":"24fa8944fabe827746e61b238b68ce120dc3a6a31c9504b132b654c72ff32b7b","schema_version":"1.0","event_id":"sha256:24fa8944fabe827746e61b238b68ce120dc3a6a31c9504b132b654c72ff32b7b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:ZOOUTL6ZJ3D55AMT76HEQSMF2S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Improving Out-of-Distribution Detection with Markov Logic Networks","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.LG","authors_text":"Frank Ortmeier, Konstantin Kirchheim","submitted_at":"2025-05-28T12:00:37Z","abstract_excerpt":"Out-of-distribution (OOD) detection is essential for ensuring the reliability of deep learning models operating in open-world scenarios. Current OOD detectors mainly rely on statistical models to identify unusual patterns in the latent representations of a deep neural network. This work proposes to augment existing OOD detectors with probabilistic reasoning, utilizing Markov logic networks (MLNs). MLNs connect first-order logic with probabilistic reasoning to assign probabilities to inputs based on weighted logical constraints defined over human-understandable concepts, which offers improved e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.04241","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/2506.04241/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:16:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uMGpGvc1CEddl5+WE5fKnsdT1EM5dIYfiSCPGFPrvwVEQjGvx9FOZ8EJ+bvNU0bDSz4vvnvyB3z7GwLCaepnAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T23:51:58.669106Z"},"content_sha256":"557b92a8d8283cfffc9e3070d8acc8cf469bb12903469ce46d34e2107a599172","schema_version":"1.0","event_id":"sha256:557b92a8d8283cfffc9e3070d8acc8cf469bb12903469ce46d34e2107a599172"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZOOUTL6ZJ3D55AMT76HEQSMF2S/bundle.json","state_url":"https://pith.science/pith/ZOOUTL6ZJ3D55AMT76HEQSMF2S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZOOUTL6ZJ3D55AMT76HEQSMF2S/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":"2026-08-07T23:51:58Z","links":{"resolver":"https://pith.science/pith/ZOOUTL6ZJ3D55AMT76HEQSMF2S","bundle":"https://pith.science/pith/ZOOUTL6ZJ3D55AMT76HEQSMF2S/bundle.json","state":"https://pith.science/pith/ZOOUTL6ZJ3D55AMT76HEQSMF2S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZOOUTL6ZJ3D55AMT76HEQSMF2S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:ZOOUTL6ZJ3D55AMT76HEQSMF2S","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":"b6f359156a2cbcd748d3e6843ecec9ee414a7bb97242f3f2c6e34637f63c831a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-05-28T12:00:37Z","title_canon_sha256":"dcd8a166f8a0aab27b18c9235448a5dc87cd26747f119e9c828b9a9e0bd6907a"},"schema_version":"1.0","source":{"id":"2506.04241","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.04241","created_at":"2026-07-05T11:16:10Z"},{"alias_kind":"arxiv_version","alias_value":"2506.04241v1","created_at":"2026-07-05T11:16:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.04241","created_at":"2026-07-05T11:16:10Z"},{"alias_kind":"pith_short_12","alias_value":"ZOOUTL6ZJ3D5","created_at":"2026-07-05T11:16:10Z"},{"alias_kind":"pith_short_16","alias_value":"ZOOUTL6ZJ3D55AMT","created_at":"2026-07-05T11:16:10Z"},{"alias_kind":"pith_short_8","alias_value":"ZOOUTL6Z","created_at":"2026-07-05T11:16:10Z"}],"graph_snapshots":[{"event_id":"sha256:557b92a8d8283cfffc9e3070d8acc8cf469bb12903469ce46d34e2107a599172","target":"graph","created_at":"2026-07-05T11:16:10Z","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/2506.04241/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Out-of-distribution (OOD) detection is essential for ensuring the reliability of deep learning models operating in open-world scenarios. Current OOD detectors mainly rely on statistical models to identify unusual patterns in the latent representations of a deep neural network. This work proposes to augment existing OOD detectors with probabilistic reasoning, utilizing Markov logic networks (MLNs). MLNs connect first-order logic with probabilistic reasoning to assign probabilities to inputs based on weighted logical constraints defined over human-understandable concepts, which offers improved e","authors_text":"Frank Ortmeier, Konstantin Kirchheim","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-05-28T12:00:37Z","title":"Improving Out-of-Distribution Detection with Markov Logic Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.04241","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":"sha256:24fa8944fabe827746e61b238b68ce120dc3a6a31c9504b132b654c72ff32b7b","target":"record","created_at":"2026-07-05T11:16:10Z","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":"b6f359156a2cbcd748d3e6843ecec9ee414a7bb97242f3f2c6e34637f63c831a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-05-28T12:00:37Z","title_canon_sha256":"dcd8a166f8a0aab27b18c9235448a5dc87cd26747f119e9c828b9a9e0bd6907a"},"schema_version":"1.0","source":{"id":"2506.04241","kind":"arxiv","version":1}},"canonical_sha256":"cb9d49afd94ec7de8193ff8e484985d499e40103f49982d3afb533ef4af06c14","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cb9d49afd94ec7de8193ff8e484985d499e40103f49982d3afb533ef4af06c14","first_computed_at":"2026-07-05T11:16:10.907849Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:16:10.907849Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"15ZsBHUfc395qR9Yvck67NLu5uBj7cKglVi4MZn/ngRkGsU/fNshFpQEI/UyvqLlyTu/uAnJnmYse0+pHerUAA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:16:10.909298Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.04241","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:24fa8944fabe827746e61b238b68ce120dc3a6a31c9504b132b654c72ff32b7b","sha256:557b92a8d8283cfffc9e3070d8acc8cf469bb12903469ce46d34e2107a599172"],"state_sha256":"a6775ce76285b24cd9dbfcfef8ac41be8bded624111575a12d683189a5918721"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oKPVymgMMLtSMlb9GwLGDTxtpCftLltnSgDDQ+Vo3Cq3Qbro3Bbij8reigP5Tf0rkCm6GgZKC6YleGkq/OF4Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T23:51:58.673274Z","bundle_sha256":"0e4135b0fb042efdcbc1868a63ef0309d41793ec80006ca15445385a2ebf472e"}}