{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:3DBHYQFX6QS7XM6W2SAIP3ONDC","short_pith_number":"pith:3DBHYQFX","canonical_record":{"source":{"id":"1509.03013","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-09-10T05:31:21Z","cross_cats_sorted":["cs.PL"],"title_canon_sha256":"7f1b0f2ca97c65fbe332fd4930ea5f16d47c3ee00d571027569b77dbccad246c","abstract_canon_sha256":"67d47b942b9047408001b7b37bb0cc25ccda74d3743f50f2f26ca6c7d7fd32e1"},"schema_version":"1.0"},"canonical_sha256":"d8c27c40b7f425fbb3d6d48087edcd188e0bb7a4663d32982ef1d0607ba5dff0","source":{"kind":"arxiv","id":"1509.03013","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.03013","created_at":"2026-05-18T01:33:25Z"},{"alias_kind":"arxiv_version","alias_value":"1509.03013v1","created_at":"2026-05-18T01:33:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.03013","created_at":"2026-05-18T01:33:25Z"},{"alias_kind":"pith_short_12","alias_value":"3DBHYQFX6QS7","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3DBHYQFX6QS7XM6W","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3DBHYQFX","created_at":"2026-05-18T12:29:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:3DBHYQFX6QS7XM6W2SAIP3ONDC","target":"record","payload":{"canonical_record":{"source":{"id":"1509.03013","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-09-10T05:31:21Z","cross_cats_sorted":["cs.PL"],"title_canon_sha256":"7f1b0f2ca97c65fbe332fd4930ea5f16d47c3ee00d571027569b77dbccad246c","abstract_canon_sha256":"67d47b942b9047408001b7b37bb0cc25ccda74d3743f50f2f26ca6c7d7fd32e1"},"schema_version":"1.0"},"canonical_sha256":"d8c27c40b7f425fbb3d6d48087edcd188e0bb7a4663d32982ef1d0607ba5dff0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:33:25.803125Z","signature_b64":"0HN82nsCEMrDkmqY0hK9EwPJ+SvLiFZAYqrc5NTfUAdZU84yBjiExPucnFQwr/ENSWksU3GcSqX6/CKJ617MDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d8c27c40b7f425fbb3d6d48087edcd188e0bb7a4663d32982ef1d0607ba5dff0","last_reissued_at":"2026-05-18T01:33:25.802469Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:33:25.802469Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.03013","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":"2026-05-18T01:33:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5rTSITheIk+CMOJGy9c9alAy+kI1AQQbmOxEfJY9lqx9WSMNdCC68BeQerZkU/e1vPHPwMgyOq9f/tOrxfrNCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T06:38:00.632782Z"},"content_sha256":"c44e871dd97ebc6dab258bf2f6bfd4766c6d5c9ec509d54a691ce0c7107ad1d8","schema_version":"1.0","event_id":"sha256:c44e871dd97ebc6dab258bf2f6bfd4766c6d5c9ec509d54a691ce0c7107ad1d8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:3DBHYQFX6QS7XM6W2SAIP3ONDC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Equivalence of two Fixed-Point Semantics for Definitional Higher-Order Logic Programs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.PL"],"primary_cat":"cs.LO","authors_text":"Angelos Charalambidis, Ioanna Symeonidou, Panos Rondogiannis","submitted_at":"2015-09-10T05:31:21Z","abstract_excerpt":"Two distinct research approaches have been proposed for assigning a purely extensional semantics to higher-order logic programming. The former approach uses classical domain theoretic tools while the latter builds on a fixed-point construction defined on a syntactic instantiation of the source program. The relationships between these two approaches had not been investigated until now. In this paper we demonstrate that for a very broad class of programs, namely the class of definitional programs introduced by W. W. Wadge, the two approaches coincide (with respect to ground atoms that involve sy"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.03013","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":"2026-05-18T01:33:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a0V4Wq9geZ12NXQdkvkAEoT/a4PmqP7fvJZwaxtJgxj16fKh7bx5v7NTRdYTzAT2ZiuK9CFsqovXPO+IUq4AAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T06:38:00.633131Z"},"content_sha256":"cfef4c541a988e68374ca69790c0b94880b9db7e0bb55b14ca1ca466d0eccd6b","schema_version":"1.0","event_id":"sha256:cfef4c541a988e68374ca69790c0b94880b9db7e0bb55b14ca1ca466d0eccd6b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3DBHYQFX6QS7XM6W2SAIP3ONDC/bundle.json","state_url":"https://pith.science/pith/3DBHYQFX6QS7XM6W2SAIP3ONDC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3DBHYQFX6QS7XM6W2SAIP3ONDC/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":"2026-06-23T06:38:00Z","links":{"resolver":"https://pith.science/pith/3DBHYQFX6QS7XM6W2SAIP3ONDC","bundle":"https://pith.science/pith/3DBHYQFX6QS7XM6W2SAIP3ONDC/bundle.json","state":"https://pith.science/pith/3DBHYQFX6QS7XM6W2SAIP3ONDC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3DBHYQFX6QS7XM6W2SAIP3ONDC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:3DBHYQFX6QS7XM6W2SAIP3ONDC","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":"67d47b942b9047408001b7b37bb0cc25ccda74d3743f50f2f26ca6c7d7fd32e1","cross_cats_sorted":["cs.PL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-09-10T05:31:21Z","title_canon_sha256":"7f1b0f2ca97c65fbe332fd4930ea5f16d47c3ee00d571027569b77dbccad246c"},"schema_version":"1.0","source":{"id":"1509.03013","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.03013","created_at":"2026-05-18T01:33:25Z"},{"alias_kind":"arxiv_version","alias_value":"1509.03013v1","created_at":"2026-05-18T01:33:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.03013","created_at":"2026-05-18T01:33:25Z"},{"alias_kind":"pith_short_12","alias_value":"3DBHYQFX6QS7","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3DBHYQFX6QS7XM6W","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3DBHYQFX","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:cfef4c541a988e68374ca69790c0b94880b9db7e0bb55b14ca1ca466d0eccd6b","target":"graph","created_at":"2026-05-18T01:33:25Z","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":"Two distinct research approaches have been proposed for assigning a purely extensional semantics to higher-order logic programming. The former approach uses classical domain theoretic tools while the latter builds on a fixed-point construction defined on a syntactic instantiation of the source program. The relationships between these two approaches had not been investigated until now. In this paper we demonstrate that for a very broad class of programs, namely the class of definitional programs introduced by W. W. Wadge, the two approaches coincide (with respect to ground atoms that involve sy","authors_text":"Angelos Charalambidis, Ioanna Symeonidou, Panos Rondogiannis","cross_cats":["cs.PL"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-09-10T05:31:21Z","title":"Equivalence of two Fixed-Point Semantics for Definitional Higher-Order Logic Programs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.03013","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:c44e871dd97ebc6dab258bf2f6bfd4766c6d5c9ec509d54a691ce0c7107ad1d8","target":"record","created_at":"2026-05-18T01:33:25Z","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":"67d47b942b9047408001b7b37bb0cc25ccda74d3743f50f2f26ca6c7d7fd32e1","cross_cats_sorted":["cs.PL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-09-10T05:31:21Z","title_canon_sha256":"7f1b0f2ca97c65fbe332fd4930ea5f16d47c3ee00d571027569b77dbccad246c"},"schema_version":"1.0","source":{"id":"1509.03013","kind":"arxiv","version":1}},"canonical_sha256":"d8c27c40b7f425fbb3d6d48087edcd188e0bb7a4663d32982ef1d0607ba5dff0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d8c27c40b7f425fbb3d6d48087edcd188e0bb7a4663d32982ef1d0607ba5dff0","first_computed_at":"2026-05-18T01:33:25.802469Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:33:25.802469Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0HN82nsCEMrDkmqY0hK9EwPJ+SvLiFZAYqrc5NTfUAdZU84yBjiExPucnFQwr/ENSWksU3GcSqX6/CKJ617MDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:33:25.803125Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.03013","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c44e871dd97ebc6dab258bf2f6bfd4766c6d5c9ec509d54a691ce0c7107ad1d8","sha256:cfef4c541a988e68374ca69790c0b94880b9db7e0bb55b14ca1ca466d0eccd6b"],"state_sha256":"1bf2fe4ef7316e0e69a9e9ecc3467bb6c7e20948c65d1a94e507adc2cf00662d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T6S0cNt2/hSBDs8+BIIMkE8uEdI/AxRgSCLH02XsbxHOh3pTSNcEeQlIojIfbMNWo0o+p1zaJptcwMpG0jsgBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T06:38:00.635147Z","bundle_sha256":"e7566f6bc741d3e2f0af0e1d3a528d48ffebf9f6f18f61beed6298b74c028c11"}}