{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:77247JA32WZGP3GIMBO7F3YA42","short_pith_number":"pith:77247JA3","canonical_record":{"source":{"id":"1807.11813","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2018-07-31T13:40:56Z","cross_cats_sorted":[],"title_canon_sha256":"3253a7485645eeb2f04ba3e830f78f6151a01131120c14881fd942f6f7248057","abstract_canon_sha256":"a97dfaa7f4941065032d85074e269f7986aaf964f7aea00a33e0884981e9d656"},"schema_version":"1.0"},"canonical_sha256":"fff5cfa41bd5b267ecc8605df2ef00e69dd98dee62da2b0c3ab8d8b86712444a","source":{"kind":"arxiv","id":"1807.11813","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.11813","created_at":"2026-05-18T00:09:21Z"},{"alias_kind":"arxiv_version","alias_value":"1807.11813v1","created_at":"2026-05-18T00:09:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.11813","created_at":"2026-05-18T00:09:21Z"},{"alias_kind":"pith_short_12","alias_value":"77247JA32WZG","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"77247JA32WZGP3GI","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"77247JA3","created_at":"2026-05-18T12:32:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:77247JA32WZGP3GIMBO7F3YA42","target":"record","payload":{"canonical_record":{"source":{"id":"1807.11813","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2018-07-31T13:40:56Z","cross_cats_sorted":[],"title_canon_sha256":"3253a7485645eeb2f04ba3e830f78f6151a01131120c14881fd942f6f7248057","abstract_canon_sha256":"a97dfaa7f4941065032d85074e269f7986aaf964f7aea00a33e0884981e9d656"},"schema_version":"1.0"},"canonical_sha256":"fff5cfa41bd5b267ecc8605df2ef00e69dd98dee62da2b0c3ab8d8b86712444a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:09:21.020952Z","signature_b64":"giUpiGhKdL32jiZTC+crONq1VZ/INm8uiuzJf9unbR48Rm5YjPigMif/Fyfa5CpVGnJbymocWbcbTjxEYCcSAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fff5cfa41bd5b267ecc8605df2ef00e69dd98dee62da2b0c3ab8d8b86712444a","last_reissued_at":"2026-05-18T00:09:21.020304Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:09:21.020304Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.11813","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":"2026-05-18T00:09:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BK4QcLfge/tm2YmnByAeSmTCA0v4o1miCNl22wzRbRVLs1hfktnpq2in2yj27IgiT64DHyNgbxcXBxscSjb1BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T20:42:54.215281Z"},"content_sha256":"945e33cf5f6ee6c51dac04ce18641dadf0e52bf8f96196fa8467d504585f68cf","schema_version":"1.0","event_id":"sha256:945e33cf5f6ee6c51dac04ce18641dadf0e52bf8f96196fa8467d504585f68cf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:77247JA32WZGP3GIMBO7F3YA42","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Dixmier-Moeglin equivalence, Morita equivalence, and homeomorphism of spectra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Daniel Yee, Jason Bell, Xingting Wang","submitted_at":"2018-07-31T13:40:56Z","abstract_excerpt":"Let $k$ be a field and let $R$ be a left noetherian $k$-algebra. The algebra $R$ satisfies the Dixmier-Moeglin equivalence if the annihilators of irreducible representations are precisely those prime ideals that are locally closed in the ${\\rm Spec}(R)$ and if, moreover, these prime ideals are precisely those whose extended centres are algebraic extensions of the base field. We show that if $R$ and $S$ are two left noetherian $k$-algebras with ${\\rm dim}_k(R), {\\rm dim}_k(S)<|k|$ then if $R$ and $S$ have homeomorphic spectra then $R$ satisfies the Dixmier-Moeglin equivalence if and only if $S$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.11813","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":"2026-05-18T00:09:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RjNlB5W6EdRXHeIDHo5SSnp87K1/gR7vmjoZAAMxwoPqPHqK5VF92MM8yBJz+YJGHbtFWFG/E0C9PGHt8yOTCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T20:42:54.215644Z"},"content_sha256":"6a4f823ae4bd1a5c9a05655961cda75c00061fabaf5772c33962870692790046","schema_version":"1.0","event_id":"sha256:6a4f823ae4bd1a5c9a05655961cda75c00061fabaf5772c33962870692790046"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/77247JA32WZGP3GIMBO7F3YA42/bundle.json","state_url":"https://pith.science/pith/77247JA32WZGP3GIMBO7F3YA42/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/77247JA32WZGP3GIMBO7F3YA42/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":"2026-06-01T20:42:54Z","links":{"resolver":"https://pith.science/pith/77247JA32WZGP3GIMBO7F3YA42","bundle":"https://pith.science/pith/77247JA32WZGP3GIMBO7F3YA42/bundle.json","state":"https://pith.science/pith/77247JA32WZGP3GIMBO7F3YA42/state.json","well_known_bundle":"https://pith.science/.well-known/pith/77247JA32WZGP3GIMBO7F3YA42/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:77247JA32WZGP3GIMBO7F3YA42","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":"a97dfaa7f4941065032d85074e269f7986aaf964f7aea00a33e0884981e9d656","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2018-07-31T13:40:56Z","title_canon_sha256":"3253a7485645eeb2f04ba3e830f78f6151a01131120c14881fd942f6f7248057"},"schema_version":"1.0","source":{"id":"1807.11813","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.11813","created_at":"2026-05-18T00:09:21Z"},{"alias_kind":"arxiv_version","alias_value":"1807.11813v1","created_at":"2026-05-18T00:09:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.11813","created_at":"2026-05-18T00:09:21Z"},{"alias_kind":"pith_short_12","alias_value":"77247JA32WZG","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"77247JA32WZGP3GI","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"77247JA3","created_at":"2026-05-18T12:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:6a4f823ae4bd1a5c9a05655961cda75c00061fabaf5772c33962870692790046","target":"graph","created_at":"2026-05-18T00:09:21Z","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":"Let $k$ be a field and let $R$ be a left noetherian $k$-algebra. The algebra $R$ satisfies the Dixmier-Moeglin equivalence if the annihilators of irreducible representations are precisely those prime ideals that are locally closed in the ${\\rm Spec}(R)$ and if, moreover, these prime ideals are precisely those whose extended centres are algebraic extensions of the base field. We show that if $R$ and $S$ are two left noetherian $k$-algebras with ${\\rm dim}_k(R), {\\rm dim}_k(S)<|k|$ then if $R$ and $S$ have homeomorphic spectra then $R$ satisfies the Dixmier-Moeglin equivalence if and only if $S$","authors_text":"Daniel Yee, Jason Bell, Xingting Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2018-07-31T13:40:56Z","title":"The Dixmier-Moeglin equivalence, Morita equivalence, and homeomorphism of spectra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.11813","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":"sha256:945e33cf5f6ee6c51dac04ce18641dadf0e52bf8f96196fa8467d504585f68cf","target":"record","created_at":"2026-05-18T00:09:21Z","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":"a97dfaa7f4941065032d85074e269f7986aaf964f7aea00a33e0884981e9d656","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2018-07-31T13:40:56Z","title_canon_sha256":"3253a7485645eeb2f04ba3e830f78f6151a01131120c14881fd942f6f7248057"},"schema_version":"1.0","source":{"id":"1807.11813","kind":"arxiv","version":1}},"canonical_sha256":"fff5cfa41bd5b267ecc8605df2ef00e69dd98dee62da2b0c3ab8d8b86712444a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fff5cfa41bd5b267ecc8605df2ef00e69dd98dee62da2b0c3ab8d8b86712444a","first_computed_at":"2026-05-18T00:09:21.020304Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:09:21.020304Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"giUpiGhKdL32jiZTC+crONq1VZ/INm8uiuzJf9unbR48Rm5YjPigMif/Fyfa5CpVGnJbymocWbcbTjxEYCcSAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:09:21.020952Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.11813","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:945e33cf5f6ee6c51dac04ce18641dadf0e52bf8f96196fa8467d504585f68cf","sha256:6a4f823ae4bd1a5c9a05655961cda75c00061fabaf5772c33962870692790046"],"state_sha256":"75cc48ef1b8a52e2240d1612c5380369a732934708c59033758bd8723d82cb20"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QMMzbpYKbOqz5Bq/1KCiFCp6C3Pac178T6dSnKZgK2EAD0lo5wyIHvobS5q5sFBNSDFEZDOgt/oqx7VwGVJyBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T20:42:54.217547Z","bundle_sha256":"9ef162fcf77b45f1d3d5d21a5373263087b9cba4baf6031310d181bdd0b1d697"}}