{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:RTGNPGIQSCYLR7LWGXXQ34CKDE","short_pith_number":"pith:RTGNPGIQ","canonical_record":{"source":{"id":"2606.02387","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2026-06-01T15:35:21Z","cross_cats_sorted":[],"title_canon_sha256":"727ee3fb4e57da24bfbc1956fe8f5c71fe016c14d2397d04fa898b10db587ef0","abstract_canon_sha256":"00de1538be9dfd96860273218459ddac34955f74474addbf5d78be5dff759e8e"},"schema_version":"1.0"},"canonical_sha256":"8cccd7991090b0b8fd7635ef0df04a191619338cfacca416c27e4aacab7f283d","source":{"kind":"arxiv","id":"2606.02387","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.02387","created_at":"2026-06-02T03:04:57Z"},{"alias_kind":"arxiv_version","alias_value":"2606.02387v1","created_at":"2026-06-02T03:04:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.02387","created_at":"2026-06-02T03:04:57Z"},{"alias_kind":"pith_short_12","alias_value":"RTGNPGIQSCYL","created_at":"2026-06-02T03:04:57Z"},{"alias_kind":"pith_short_16","alias_value":"RTGNPGIQSCYLR7LW","created_at":"2026-06-02T03:04:57Z"},{"alias_kind":"pith_short_8","alias_value":"RTGNPGIQ","created_at":"2026-06-02T03:04:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:RTGNPGIQSCYLR7LWGXXQ34CKDE","target":"record","payload":{"canonical_record":{"source":{"id":"2606.02387","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2026-06-01T15:35:21Z","cross_cats_sorted":[],"title_canon_sha256":"727ee3fb4e57da24bfbc1956fe8f5c71fe016c14d2397d04fa898b10db587ef0","abstract_canon_sha256":"00de1538be9dfd96860273218459ddac34955f74474addbf5d78be5dff759e8e"},"schema_version":"1.0"},"canonical_sha256":"8cccd7991090b0b8fd7635ef0df04a191619338cfacca416c27e4aacab7f283d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-02T03:04:57.806214Z","signature_b64":"lfYoAg0wF9TS2EuZBuNGzfMq8+i+fpjETElQjINECRG4NLq/A6VmuDpM8FivVGy2Ve/DXyDDxrMfYUG3F6XsDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8cccd7991090b0b8fd7635ef0df04a191619338cfacca416c27e4aacab7f283d","last_reissued_at":"2026-06-02T03:04:57.805793Z","signature_status":"signed_v1","first_computed_at":"2026-06-02T03:04:57.805793Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.02387","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":"2026-06-02T03:04:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y2cg9IOSwvAeY0fTwgg852FeaMYYWsgJ+F6vfrOKi9sM3LnN2CUp5akdvr5SICKR4J9KGI942nyfsKoSNVSdDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T08:57:17.928697Z"},"content_sha256":"e035049226a3252f533222e8a0f84579ba3852b1405a9d61d27d5bedace61e9a","schema_version":"1.0","event_id":"sha256:e035049226a3252f533222e8a0f84579ba3852b1405a9d61d27d5bedace61e9a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:RTGNPGIQSCYLR7LWGXXQ34CKDE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Equilibrium Semantics and Strong Equivalence for Higher-Order Logic Programs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Angelos Charalambidis, Babis Kostopoulos, Giannos Chatziagapis, Panos Rondogiannis","submitted_at":"2026-06-01T15:35:21Z","abstract_excerpt":"One of the most significant achievements of equilibrium logic was the characterization of strong equivalence, a property crucial for program transformation and optimization in Answer Set Programming (ASP). While ASP has recently been extended to a higher-order setting to enhance its expressive power, the lack of a comparable purely logical foundation has made verifying strong equivalence for higher-order programs or even proving the correctness of simple program transformations, a difficult challenge. This paper addresses this gap by developing a logical semantics for higher-order ASP by exten"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.02387","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/2606.02387/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":"2026-06-02T03:04:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vd2/FiSmqmo80rElMvHiMGEhcaJ+o4MGZMQSPYjUQB0FUnWmTA54dme185u58FDUSK6ErDIyeYulai72ll14Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T08:57:17.929072Z"},"content_sha256":"ed0df74c77a72e185ad084a97bedaf82333d8aaae18b0627bebff434766d577f","schema_version":"1.0","event_id":"sha256:ed0df74c77a72e185ad084a97bedaf82333d8aaae18b0627bebff434766d577f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RTGNPGIQSCYLR7LWGXXQ34CKDE/bundle.json","state_url":"https://pith.science/pith/RTGNPGIQSCYLR7LWGXXQ34CKDE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RTGNPGIQSCYLR7LWGXXQ34CKDE/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":"2026-06-23T08:57:17Z","links":{"resolver":"https://pith.science/pith/RTGNPGIQSCYLR7LWGXXQ34CKDE","bundle":"https://pith.science/pith/RTGNPGIQSCYLR7LWGXXQ34CKDE/bundle.json","state":"https://pith.science/pith/RTGNPGIQSCYLR7LWGXXQ34CKDE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RTGNPGIQSCYLR7LWGXXQ34CKDE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:RTGNPGIQSCYLR7LWGXXQ34CKDE","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":"00de1538be9dfd96860273218459ddac34955f74474addbf5d78be5dff759e8e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2026-06-01T15:35:21Z","title_canon_sha256":"727ee3fb4e57da24bfbc1956fe8f5c71fe016c14d2397d04fa898b10db587ef0"},"schema_version":"1.0","source":{"id":"2606.02387","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.02387","created_at":"2026-06-02T03:04:57Z"},{"alias_kind":"arxiv_version","alias_value":"2606.02387v1","created_at":"2026-06-02T03:04:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.02387","created_at":"2026-06-02T03:04:57Z"},{"alias_kind":"pith_short_12","alias_value":"RTGNPGIQSCYL","created_at":"2026-06-02T03:04:57Z"},{"alias_kind":"pith_short_16","alias_value":"RTGNPGIQSCYLR7LW","created_at":"2026-06-02T03:04:57Z"},{"alias_kind":"pith_short_8","alias_value":"RTGNPGIQ","created_at":"2026-06-02T03:04:57Z"}],"graph_snapshots":[{"event_id":"sha256:ed0df74c77a72e185ad084a97bedaf82333d8aaae18b0627bebff434766d577f","target":"graph","created_at":"2026-06-02T03:04:57Z","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/2606.02387/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"One of the most significant achievements of equilibrium logic was the characterization of strong equivalence, a property crucial for program transformation and optimization in Answer Set Programming (ASP). While ASP has recently been extended to a higher-order setting to enhance its expressive power, the lack of a comparable purely logical foundation has made verifying strong equivalence for higher-order programs or even proving the correctness of simple program transformations, a difficult challenge. This paper addresses this gap by developing a logical semantics for higher-order ASP by exten","authors_text":"Angelos Charalambidis, Babis Kostopoulos, Giannos Chatziagapis, Panos Rondogiannis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2026-06-01T15:35:21Z","title":"Equilibrium Semantics and Strong Equivalence for Higher-Order Logic Programs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.02387","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:e035049226a3252f533222e8a0f84579ba3852b1405a9d61d27d5bedace61e9a","target":"record","created_at":"2026-06-02T03:04:57Z","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":"00de1538be9dfd96860273218459ddac34955f74474addbf5d78be5dff759e8e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2026-06-01T15:35:21Z","title_canon_sha256":"727ee3fb4e57da24bfbc1956fe8f5c71fe016c14d2397d04fa898b10db587ef0"},"schema_version":"1.0","source":{"id":"2606.02387","kind":"arxiv","version":1}},"canonical_sha256":"8cccd7991090b0b8fd7635ef0df04a191619338cfacca416c27e4aacab7f283d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8cccd7991090b0b8fd7635ef0df04a191619338cfacca416c27e4aacab7f283d","first_computed_at":"2026-06-02T03:04:57.805793Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-02T03:04:57.805793Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lfYoAg0wF9TS2EuZBuNGzfMq8+i+fpjETElQjINECRG4NLq/A6VmuDpM8FivVGy2Ve/DXyDDxrMfYUG3F6XsDg==","signature_status":"signed_v1","signed_at":"2026-06-02T03:04:57.806214Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.02387","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e035049226a3252f533222e8a0f84579ba3852b1405a9d61d27d5bedace61e9a","sha256:ed0df74c77a72e185ad084a97bedaf82333d8aaae18b0627bebff434766d577f"],"state_sha256":"b43680c7c9954de4a9b6a6f56e6bb8f81bb9beaf814469b83d2fa5788ca4ac0d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sWi2qQ/Qa0PHymx4mXTCVUVersIwIOauu8U+NGka+xGl/FAWKVxXrTf6ffJqwPVQjWSqDIZKjF5I9LSm2iW5DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T08:57:17.931327Z","bundle_sha256":"f22bb6b4447c102618fae8ed09ac52f61e1378a802585151406e094f088c744a"}}