{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:73K65VMW5U3B2WHBQKFYTNVU4C","short_pith_number":"pith:73K65VMW","canonical_record":{"source":{"id":"1501.06142","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-01-25T11:28:46Z","cross_cats_sorted":[],"title_canon_sha256":"93f36dff2666b7c19af5cb99af8a682e648e97d295465611a6a254578444eeb0","abstract_canon_sha256":"0b4b42af0f4cf6482d2c957c23995ae392d5fa203629e6700958c42376b0fe60"},"schema_version":"1.0"},"canonical_sha256":"fed5eed596ed361d58e1828b89b6b4e0a0031b436ab3854e707741c6da4335ee","source":{"kind":"arxiv","id":"1501.06142","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.06142","created_at":"2026-05-18T00:50:23Z"},{"alias_kind":"arxiv_version","alias_value":"1501.06142v1","created_at":"2026-05-18T00:50:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.06142","created_at":"2026-05-18T00:50:23Z"},{"alias_kind":"pith_short_12","alias_value":"73K65VMW5U3B","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"73K65VMW5U3B2WHB","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"73K65VMW","created_at":"2026-05-18T12:29:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:73K65VMW5U3B2WHBQKFYTNVU4C","target":"record","payload":{"canonical_record":{"source":{"id":"1501.06142","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-01-25T11:28:46Z","cross_cats_sorted":[],"title_canon_sha256":"93f36dff2666b7c19af5cb99af8a682e648e97d295465611a6a254578444eeb0","abstract_canon_sha256":"0b4b42af0f4cf6482d2c957c23995ae392d5fa203629e6700958c42376b0fe60"},"schema_version":"1.0"},"canonical_sha256":"fed5eed596ed361d58e1828b89b6b4e0a0031b436ab3854e707741c6da4335ee","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:23.293057Z","signature_b64":"B/wa2KOfEOGeKltWsb2rziFMk6G9d2y5yIkUKyM2n5jyzHUtmtC4th837Qtmzx+ZKOT2JjQodjqmhjFWk9y/Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fed5eed596ed361d58e1828b89b6b4e0a0031b436ab3854e707741c6da4335ee","last_reissued_at":"2026-05-18T00:50:23.292212Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:23.292212Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.06142","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":"2026-05-18T00:50:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N1vYdyw6v459JALVOWytcay0SDFX7uxStewaUY9RFP+zrP5NnGaOEwcvkIFohYAw34WeKFBCeGO+aq4c4mgLBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T17:11:33.699394Z"},"content_sha256":"f8ec4fdf2ecbf142d8ea94e950675cc13efa69718f3c8043c78e9dcfabf0267e","schema_version":"1.0","event_id":"sha256:f8ec4fdf2ecbf142d8ea94e950675cc13efa69718f3c8043c78e9dcfabf0267e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:73K65VMW5U3B2WHBQKFYTNVU4C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Unification on subvarieties of pseudocomplemented distributive lattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Leonardo Manuel Cabrer","submitted_at":"2015-01-25T11:28:46Z","abstract_excerpt":"In this paper subvarieties of pseudocomplemented distributive lattices are classified by their unification type. We determine the unification type of every particular unification problem in each subvariety of pseudocomplemented distributive lattices."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.06142","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":"2026-05-18T00:50:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0fu135FCBDZsuAffJ/2HqiaNTMepoSUooJcz1oQf4EDPX40GG1pKJmGmy0iOVezv2596dKaTD5AUZJO0GnS3Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T17:11:33.700033Z"},"content_sha256":"89ce67a6186173a3a74caeaa6a25d7abffa4bfc2004cf4aa7518e84901b3467b","schema_version":"1.0","event_id":"sha256:89ce67a6186173a3a74caeaa6a25d7abffa4bfc2004cf4aa7518e84901b3467b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/73K65VMW5U3B2WHBQKFYTNVU4C/bundle.json","state_url":"https://pith.science/pith/73K65VMW5U3B2WHBQKFYTNVU4C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/73K65VMW5U3B2WHBQKFYTNVU4C/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":"2026-06-08T17:11:33Z","links":{"resolver":"https://pith.science/pith/73K65VMW5U3B2WHBQKFYTNVU4C","bundle":"https://pith.science/pith/73K65VMW5U3B2WHBQKFYTNVU4C/bundle.json","state":"https://pith.science/pith/73K65VMW5U3B2WHBQKFYTNVU4C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/73K65VMW5U3B2WHBQKFYTNVU4C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:73K65VMW5U3B2WHBQKFYTNVU4C","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":"0b4b42af0f4cf6482d2c957c23995ae392d5fa203629e6700958c42376b0fe60","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-01-25T11:28:46Z","title_canon_sha256":"93f36dff2666b7c19af5cb99af8a682e648e97d295465611a6a254578444eeb0"},"schema_version":"1.0","source":{"id":"1501.06142","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.06142","created_at":"2026-05-18T00:50:23Z"},{"alias_kind":"arxiv_version","alias_value":"1501.06142v1","created_at":"2026-05-18T00:50:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.06142","created_at":"2026-05-18T00:50:23Z"},{"alias_kind":"pith_short_12","alias_value":"73K65VMW5U3B","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"73K65VMW5U3B2WHB","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"73K65VMW","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:89ce67a6186173a3a74caeaa6a25d7abffa4bfc2004cf4aa7518e84901b3467b","target":"graph","created_at":"2026-05-18T00:50:23Z","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":"In this paper subvarieties of pseudocomplemented distributive lattices are classified by their unification type. We determine the unification type of every particular unification problem in each subvariety of pseudocomplemented distributive lattices.","authors_text":"Leonardo Manuel Cabrer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-01-25T11:28:46Z","title":"Unification on subvarieties of pseudocomplemented distributive lattices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.06142","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:f8ec4fdf2ecbf142d8ea94e950675cc13efa69718f3c8043c78e9dcfabf0267e","target":"record","created_at":"2026-05-18T00:50:23Z","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":"0b4b42af0f4cf6482d2c957c23995ae392d5fa203629e6700958c42376b0fe60","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-01-25T11:28:46Z","title_canon_sha256":"93f36dff2666b7c19af5cb99af8a682e648e97d295465611a6a254578444eeb0"},"schema_version":"1.0","source":{"id":"1501.06142","kind":"arxiv","version":1}},"canonical_sha256":"fed5eed596ed361d58e1828b89b6b4e0a0031b436ab3854e707741c6da4335ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fed5eed596ed361d58e1828b89b6b4e0a0031b436ab3854e707741c6da4335ee","first_computed_at":"2026-05-18T00:50:23.292212Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:23.292212Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"B/wa2KOfEOGeKltWsb2rziFMk6G9d2y5yIkUKyM2n5jyzHUtmtC4th837Qtmzx+ZKOT2JjQodjqmhjFWk9y/Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:23.293057Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.06142","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f8ec4fdf2ecbf142d8ea94e950675cc13efa69718f3c8043c78e9dcfabf0267e","sha256:89ce67a6186173a3a74caeaa6a25d7abffa4bfc2004cf4aa7518e84901b3467b"],"state_sha256":"03bd9c22b2a803cd5812186799c35c2141bcc40d7439a28f1c7e620a74812bf1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d5nUDOmVAqm9gzLvyhXGHJNK2dvZ9LUqKSorv3sgS1SRUP7FkNnpY8nkU4HcSGS3nGPP4FhVbjQArSUjHqgUBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T17:11:33.703957Z","bundle_sha256":"313f43c566b0120371df56cb37f82b6ccb40df997170a604a570316e7abb7740"}}