{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:LU2UUKCNK4B35BKRXHCEBQMVKI","short_pith_number":"pith:LU2UUKCN","canonical_record":{"source":{"id":"1204.2495","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-04-11T16:50:39Z","cross_cats_sorted":[],"title_canon_sha256":"473dcf3448a6f1bb42367bb04848e35f675752c1ccdc0465941644e70a43e6cc","abstract_canon_sha256":"e359b02c339fee4dc4cf3fcde59f5342af1faf217e82620d3f2559154e8d1387"},"schema_version":"1.0"},"canonical_sha256":"5d354a284d5703be8551b9c440c195521e161e6b25706609797ea15309b9e77c","source":{"kind":"arxiv","id":"1204.2495","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.2495","created_at":"2026-05-18T02:21:16Z"},{"alias_kind":"arxiv_version","alias_value":"1204.2495v3","created_at":"2026-05-18T02:21:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.2495","created_at":"2026-05-18T02:21:16Z"},{"alias_kind":"pith_short_12","alias_value":"LU2UUKCNK4B3","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LU2UUKCNK4B35BKR","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LU2UUKCN","created_at":"2026-05-18T12:27:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:LU2UUKCNK4B35BKRXHCEBQMVKI","target":"record","payload":{"canonical_record":{"source":{"id":"1204.2495","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-04-11T16:50:39Z","cross_cats_sorted":[],"title_canon_sha256":"473dcf3448a6f1bb42367bb04848e35f675752c1ccdc0465941644e70a43e6cc","abstract_canon_sha256":"e359b02c339fee4dc4cf3fcde59f5342af1faf217e82620d3f2559154e8d1387"},"schema_version":"1.0"},"canonical_sha256":"5d354a284d5703be8551b9c440c195521e161e6b25706609797ea15309b9e77c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:21:16.381354Z","signature_b64":"ixS5p33E/q0eCI+JK6yK1lEr6jUHrCPXHCbqyG7cBqSY8ByGZVLVL3l4UxfTCLJ6U99Iavg9E3XVx2GASK7CBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5d354a284d5703be8551b9c440c195521e161e6b25706609797ea15309b9e77c","last_reissued_at":"2026-05-18T02:21:16.380716Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:21:16.380716Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.2495","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:21:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sd71B8FWfWMIjSGfgraTz5tnsM2AqJfn+Yx6e09l2axbo4lFHFFxSowDFKLUqGZvjz/CVad4kYBKwyPoorkqDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T21:38:08.066307Z"},"content_sha256":"a700d6d13f45082b9baa3c794a906ce019b0cb474956f9f480ee3bc7d869ba39","schema_version":"1.0","event_id":"sha256:a700d6d13f45082b9baa3c794a906ce019b0cb474956f9f480ee3bc7d869ba39"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:LU2UUKCNK4B35BKRXHCEBQMVKI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Satisfiability for two-variable logic with two successor relations on finite linear orders","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Diego Figueira","submitted_at":"2012-04-11T16:50:39Z","abstract_excerpt":"We study the finitary satisfiability problem for first order logic with two variables and two binary relations, corresponding to the induced successor relations of two finite linear orders. We show that the problem is decidable in NEXPTIME."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.2495","kind":"arxiv","version":3},"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":"2026-05-18T02:21:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m0FL1Ez63RAhWZ/Dwt99/1JCoTxRfXvUop+mx8NO/B/h9x6SsocDMI03s2H6PbKlP02sUkyHQHs1oqkE835IDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T21:38:08.066660Z"},"content_sha256":"8c22fb9c1d9383f589c2ef61a96bf3c4e491209137d24c351d47956778cd9100","schema_version":"1.0","event_id":"sha256:8c22fb9c1d9383f589c2ef61a96bf3c4e491209137d24c351d47956778cd9100"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LU2UUKCNK4B35BKRXHCEBQMVKI/bundle.json","state_url":"https://pith.science/pith/LU2UUKCNK4B35BKRXHCEBQMVKI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LU2UUKCNK4B35BKRXHCEBQMVKI/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":"2026-05-31T21:38:08Z","links":{"resolver":"https://pith.science/pith/LU2UUKCNK4B35BKRXHCEBQMVKI","bundle":"https://pith.science/pith/LU2UUKCNK4B35BKRXHCEBQMVKI/bundle.json","state":"https://pith.science/pith/LU2UUKCNK4B35BKRXHCEBQMVKI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LU2UUKCNK4B35BKRXHCEBQMVKI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:LU2UUKCNK4B35BKRXHCEBQMVKI","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":"e359b02c339fee4dc4cf3fcde59f5342af1faf217e82620d3f2559154e8d1387","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-04-11T16:50:39Z","title_canon_sha256":"473dcf3448a6f1bb42367bb04848e35f675752c1ccdc0465941644e70a43e6cc"},"schema_version":"1.0","source":{"id":"1204.2495","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.2495","created_at":"2026-05-18T02:21:16Z"},{"alias_kind":"arxiv_version","alias_value":"1204.2495v3","created_at":"2026-05-18T02:21:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.2495","created_at":"2026-05-18T02:21:16Z"},{"alias_kind":"pith_short_12","alias_value":"LU2UUKCNK4B3","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LU2UUKCNK4B35BKR","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LU2UUKCN","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:8c22fb9c1d9383f589c2ef61a96bf3c4e491209137d24c351d47956778cd9100","target":"graph","created_at":"2026-05-18T02:21:16Z","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":"We study the finitary satisfiability problem for first order logic with two variables and two binary relations, corresponding to the induced successor relations of two finite linear orders. We show that the problem is decidable in NEXPTIME.","authors_text":"Diego Figueira","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-04-11T16:50:39Z","title":"Satisfiability for two-variable logic with two successor relations on finite linear orders"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.2495","kind":"arxiv","version":3},"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:a700d6d13f45082b9baa3c794a906ce019b0cb474956f9f480ee3bc7d869ba39","target":"record","created_at":"2026-05-18T02:21:16Z","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":"e359b02c339fee4dc4cf3fcde59f5342af1faf217e82620d3f2559154e8d1387","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-04-11T16:50:39Z","title_canon_sha256":"473dcf3448a6f1bb42367bb04848e35f675752c1ccdc0465941644e70a43e6cc"},"schema_version":"1.0","source":{"id":"1204.2495","kind":"arxiv","version":3}},"canonical_sha256":"5d354a284d5703be8551b9c440c195521e161e6b25706609797ea15309b9e77c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d354a284d5703be8551b9c440c195521e161e6b25706609797ea15309b9e77c","first_computed_at":"2026-05-18T02:21:16.380716Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:21:16.380716Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ixS5p33E/q0eCI+JK6yK1lEr6jUHrCPXHCbqyG7cBqSY8ByGZVLVL3l4UxfTCLJ6U99Iavg9E3XVx2GASK7CBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:21:16.381354Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.2495","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a700d6d13f45082b9baa3c794a906ce019b0cb474956f9f480ee3bc7d869ba39","sha256:8c22fb9c1d9383f589c2ef61a96bf3c4e491209137d24c351d47956778cd9100"],"state_sha256":"05e5e1c2cff55050c0dadebb420c2703d543235064f931810844594283a870bb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9wklNvCBpPZcPG1MwPK+XMAZqiJ/1UueGRqaTD9HNo9vqKgjS1fnRnXv4eN4q1Qg55EN4jTaZz0jjGJuujFADw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T21:38:08.068833Z","bundle_sha256":"b8f9f136bfabdc254fb19391f4c80bc680db0cd23843f8a65f89e33dc4b4fe3f"}}