{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:THKVKXUCFSHVSJE4QYRZVLL2NS","short_pith_number":"pith:THKVKXUC","canonical_record":{"source":{"id":"1203.5374","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2012-03-24T00:36:28Z","cross_cats_sorted":[],"title_canon_sha256":"29792ae4cd60c549e80c1944469290ea98bd361fce10cbda140d38227599f0b9","abstract_canon_sha256":"aeccad068b99e140d1b548c118af68d7f46061fb1565c4c2f6ccfd2471660e5c"},"schema_version":"1.0"},"canonical_sha256":"99d5555e822c8f59249c86239aad7a6ca611a426f490301b98dedab9a6b306a0","source":{"kind":"arxiv","id":"1203.5374","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.5374","created_at":"2026-05-18T03:59:15Z"},{"alias_kind":"arxiv_version","alias_value":"1203.5374v1","created_at":"2026-05-18T03:59:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.5374","created_at":"2026-05-18T03:59:15Z"},{"alias_kind":"pith_short_12","alias_value":"THKVKXUCFSHV","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"THKVKXUCFSHVSJE4","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"THKVKXUC","created_at":"2026-05-18T12:27:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:THKVKXUCFSHVSJE4QYRZVLL2NS","target":"record","payload":{"canonical_record":{"source":{"id":"1203.5374","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2012-03-24T00:36:28Z","cross_cats_sorted":[],"title_canon_sha256":"29792ae4cd60c549e80c1944469290ea98bd361fce10cbda140d38227599f0b9","abstract_canon_sha256":"aeccad068b99e140d1b548c118af68d7f46061fb1565c4c2f6ccfd2471660e5c"},"schema_version":"1.0"},"canonical_sha256":"99d5555e822c8f59249c86239aad7a6ca611a426f490301b98dedab9a6b306a0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:59:15.221192Z","signature_b64":"pLH4baF/3VYePHt9YaQEfsLzHwgg8jIdY5ko477y7AY1F9FAAIbSGEK3C5G+oU0CHvItCF/bzqfCBmG+SzaxBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"99d5555e822c8f59249c86239aad7a6ca611a426f490301b98dedab9a6b306a0","last_reissued_at":"2026-05-18T03:59:15.220619Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:59:15.220619Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.5374","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":"2026-05-18T03:59:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JTVxTF3Omr6rlNeXOb7z+e6GWfSjz/1GAU+KBv1ctmalfO625Qrbsq3Ib0oWzRZE/DU36Atb/HQbS508258LAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T15:02:32.949874Z"},"content_sha256":"f14ebeeaa659edc5e67612276ed188e13d26a2b80d0614a1bc0cd12d5c152b7e","schema_version":"1.0","event_id":"sha256:f14ebeeaa659edc5e67612276ed188e13d26a2b80d0614a1bc0cd12d5c152b7e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:THKVKXUCFSHVSJE4QYRZVLL2NS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tense operators on m-symmetric algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Aldo V. Figallo, Carlos Gallardo, Gustavo Pelaitay","submitted_at":"2012-03-24T00:36:28Z","abstract_excerpt":"Here we initiate an investigation of the equational classes of m-symmetric algebras endowed with two tense operators. These varieties is a generalization of tense algebras. Our main interest is the duality theory for these classes of algebras. In order to do this, we require Urquart's duality for Ockham algebras and Goldblatt's duality for bounded distributive lattice with operations. The dualities enable us to describe the lattices of congruences on tense m-symmetric algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.5374","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":"2026-05-18T03:59:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oD0WTrh8EUI79xhq4pZ7k92oPpc/ukPcAfB8pgVSR+VLbnUvgrPkA3Dqli8h2APneZxky2lF9LNYgIZEHSczDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T15:02:32.950216Z"},"content_sha256":"db4d2813ff8112fd78d91521953304a1562a2cb721b844e3581a441b30ebd040","schema_version":"1.0","event_id":"sha256:db4d2813ff8112fd78d91521953304a1562a2cb721b844e3581a441b30ebd040"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/THKVKXUCFSHVSJE4QYRZVLL2NS/bundle.json","state_url":"https://pith.science/pith/THKVKXUCFSHVSJE4QYRZVLL2NS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/THKVKXUCFSHVSJE4QYRZVLL2NS/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":"2026-07-01T15:02:32Z","links":{"resolver":"https://pith.science/pith/THKVKXUCFSHVSJE4QYRZVLL2NS","bundle":"https://pith.science/pith/THKVKXUCFSHVSJE4QYRZVLL2NS/bundle.json","state":"https://pith.science/pith/THKVKXUCFSHVSJE4QYRZVLL2NS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/THKVKXUCFSHVSJE4QYRZVLL2NS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:THKVKXUCFSHVSJE4QYRZVLL2NS","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":"aeccad068b99e140d1b548c118af68d7f46061fb1565c4c2f6ccfd2471660e5c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2012-03-24T00:36:28Z","title_canon_sha256":"29792ae4cd60c549e80c1944469290ea98bd361fce10cbda140d38227599f0b9"},"schema_version":"1.0","source":{"id":"1203.5374","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.5374","created_at":"2026-05-18T03:59:15Z"},{"alias_kind":"arxiv_version","alias_value":"1203.5374v1","created_at":"2026-05-18T03:59:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.5374","created_at":"2026-05-18T03:59:15Z"},{"alias_kind":"pith_short_12","alias_value":"THKVKXUCFSHV","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"THKVKXUCFSHVSJE4","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"THKVKXUC","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:db4d2813ff8112fd78d91521953304a1562a2cb721b844e3581a441b30ebd040","target":"graph","created_at":"2026-05-18T03:59:15Z","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":"Here we initiate an investigation of the equational classes of m-symmetric algebras endowed with two tense operators. These varieties is a generalization of tense algebras. Our main interest is the duality theory for these classes of algebras. In order to do this, we require Urquart's duality for Ockham algebras and Goldblatt's duality for bounded distributive lattice with operations. The dualities enable us to describe the lattices of congruences on tense m-symmetric algebras.","authors_text":"Aldo V. Figallo, Carlos Gallardo, Gustavo Pelaitay","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2012-03-24T00:36:28Z","title":"Tense operators on m-symmetric algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.5374","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:f14ebeeaa659edc5e67612276ed188e13d26a2b80d0614a1bc0cd12d5c152b7e","target":"record","created_at":"2026-05-18T03:59:15Z","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":"aeccad068b99e140d1b548c118af68d7f46061fb1565c4c2f6ccfd2471660e5c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2012-03-24T00:36:28Z","title_canon_sha256":"29792ae4cd60c549e80c1944469290ea98bd361fce10cbda140d38227599f0b9"},"schema_version":"1.0","source":{"id":"1203.5374","kind":"arxiv","version":1}},"canonical_sha256":"99d5555e822c8f59249c86239aad7a6ca611a426f490301b98dedab9a6b306a0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"99d5555e822c8f59249c86239aad7a6ca611a426f490301b98dedab9a6b306a0","first_computed_at":"2026-05-18T03:59:15.220619Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:59:15.220619Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pLH4baF/3VYePHt9YaQEfsLzHwgg8jIdY5ko477y7AY1F9FAAIbSGEK3C5G+oU0CHvItCF/bzqfCBmG+SzaxBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:59:15.221192Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.5374","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f14ebeeaa659edc5e67612276ed188e13d26a2b80d0614a1bc0cd12d5c152b7e","sha256:db4d2813ff8112fd78d91521953304a1562a2cb721b844e3581a441b30ebd040"],"state_sha256":"a91cccc1de11c63253b467ee17cab3ea7ab78d0a422b28f4cf93799c0b5519d7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CVO1r3eFHEbqKr9cFqxH3XliQ0vJFBJQQujXbCWof8tL4HRNdl3ZjUoHquMMxS3F+bCXXv4g59BRvc/Kcr2sCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T15:02:32.952134Z","bundle_sha256":"b0e2aad4a3ab7082f58d6f50c1944266a94219e3e554de4ed5e93cb66e877661"}}