{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:BMAII72VURU2WMZLWJDU6UYGHM","short_pith_number":"pith:BMAII72V","canonical_record":{"source":{"id":"0706.2721","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.QA","submitted_at":"2007-06-19T06:45:32Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"fb82c79fd528c2e8fcfcf4712df19d1208760f2d61cad9881b69a94e4ae07c27","abstract_canon_sha256":"9ba51ea0eaea1c71aafd90683f37534ade3f31023f86d9e05d1af8770ed007a4"},"schema_version":"1.0"},"canonical_sha256":"0b00847f55a469ab332bb2474f53063b3ab6cd8db4708c45d13c03688207c9c6","source":{"kind":"arxiv","id":"0706.2721","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0706.2721","created_at":"2026-07-04T15:02:18Z"},{"alias_kind":"arxiv_version","alias_value":"0706.2721v1","created_at":"2026-07-04T15:02:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0706.2721","created_at":"2026-07-04T15:02:18Z"},{"alias_kind":"pith_short_12","alias_value":"BMAII72VURU2","created_at":"2026-07-04T15:02:18Z"},{"alias_kind":"pith_short_16","alias_value":"BMAII72VURU2WMZL","created_at":"2026-07-04T15:02:18Z"},{"alias_kind":"pith_short_8","alias_value":"BMAII72V","created_at":"2026-07-04T15:02:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:BMAII72VURU2WMZLWJDU6UYGHM","target":"record","payload":{"canonical_record":{"source":{"id":"0706.2721","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.QA","submitted_at":"2007-06-19T06:45:32Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"fb82c79fd528c2e8fcfcf4712df19d1208760f2d61cad9881b69a94e4ae07c27","abstract_canon_sha256":"9ba51ea0eaea1c71aafd90683f37534ade3f31023f86d9e05d1af8770ed007a4"},"schema_version":"1.0"},"canonical_sha256":"0b00847f55a469ab332bb2474f53063b3ab6cd8db4708c45d13c03688207c9c6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:02:18.893770Z","signature_b64":"vOyKuLi8/2EfdYD8vPkwAc8a5UWgdyIWDQ6I4CQjpksdLyjXaZmY5pPyS34DjV4j9vTGATlyvqjetuMEWcGTAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0b00847f55a469ab332bb2474f53063b3ab6cd8db4708c45d13c03688207c9c6","last_reissued_at":"2026-07-04T15:02:18.893358Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:02:18.893358Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0706.2721","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":"2026-07-04T15:02:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p9f3RkySfWwqrSSq7saQKXG6A4bYD1xLvzQIx/sx17+zCWYmk78MnBA0h3PGKTYf6KUYiTgvJKEm/ggscJAuAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T07:45:58.410100Z"},"content_sha256":"3a6f4fef4bf3f25f38dcd474b1efbc00c76217f45fdf69287909c8048cc63828","schema_version":"1.0","event_id":"sha256:3a6f4fef4bf3f25f38dcd474b1efbc00c76217f45fdf69287909c8048cc63828"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:BMAII72VURU2WMZLWJDU6UYGHM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Associative algebras related to conformal algebras","license":"","headline":"","cross_cats":["math.RA"],"primary_cat":"math.QA","authors_text":"Pavel Kolesnikov","submitted_at":"2007-06-19T06:45:32Z","abstract_excerpt":"In this note, we introduce a class of algebras that are in some sense related to conformal algebras. This class (called TC-algebras) includes Weyl algebras and some of their (associative and Lie) subalgebras. By a conformal algebra we generally mean what is known as $H$-pseudo-algebra over the polynomial Hopf algebra $H=\\Bbbk[T_1,..., T_n]$. Some recent results in structure theory of conformal algebras are applied to get a description of TC-algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0706.2721","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0706.2721/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T15:02:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m36rLn/skZ4juw4m+GPOjaxdwCB1hYp3UIpCHXjJEmcKVlGn7TLIo9+3TvOgIR1xx4trCWdKeyvKjfXkt5R5AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T07:45:58.410485Z"},"content_sha256":"c8ac087ded748e7759ef1da34b2852c60d011d52ff89820ce59f6a0076d2bb30","schema_version":"1.0","event_id":"sha256:c8ac087ded748e7759ef1da34b2852c60d011d52ff89820ce59f6a0076d2bb30"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BMAII72VURU2WMZLWJDU6UYGHM/bundle.json","state_url":"https://pith.science/pith/BMAII72VURU2WMZLWJDU6UYGHM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BMAII72VURU2WMZLWJDU6UYGHM/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":"2026-07-05T07:45:58Z","links":{"resolver":"https://pith.science/pith/BMAII72VURU2WMZLWJDU6UYGHM","bundle":"https://pith.science/pith/BMAII72VURU2WMZLWJDU6UYGHM/bundle.json","state":"https://pith.science/pith/BMAII72VURU2WMZLWJDU6UYGHM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BMAII72VURU2WMZLWJDU6UYGHM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:BMAII72VURU2WMZLWJDU6UYGHM","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":"9ba51ea0eaea1c71aafd90683f37534ade3f31023f86d9e05d1af8770ed007a4","cross_cats_sorted":["math.RA"],"license":"","primary_cat":"math.QA","submitted_at":"2007-06-19T06:45:32Z","title_canon_sha256":"fb82c79fd528c2e8fcfcf4712df19d1208760f2d61cad9881b69a94e4ae07c27"},"schema_version":"1.0","source":{"id":"0706.2721","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0706.2721","created_at":"2026-07-04T15:02:18Z"},{"alias_kind":"arxiv_version","alias_value":"0706.2721v1","created_at":"2026-07-04T15:02:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0706.2721","created_at":"2026-07-04T15:02:18Z"},{"alias_kind":"pith_short_12","alias_value":"BMAII72VURU2","created_at":"2026-07-04T15:02:18Z"},{"alias_kind":"pith_short_16","alias_value":"BMAII72VURU2WMZL","created_at":"2026-07-04T15:02:18Z"},{"alias_kind":"pith_short_8","alias_value":"BMAII72V","created_at":"2026-07-04T15:02:18Z"}],"graph_snapshots":[{"event_id":"sha256:c8ac087ded748e7759ef1da34b2852c60d011d52ff89820ce59f6a0076d2bb30","target":"graph","created_at":"2026-07-04T15:02:18Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0706.2721/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this note, we introduce a class of algebras that are in some sense related to conformal algebras. This class (called TC-algebras) includes Weyl algebras and some of their (associative and Lie) subalgebras. By a conformal algebra we generally mean what is known as $H$-pseudo-algebra over the polynomial Hopf algebra $H=\\Bbbk[T_1,..., T_n]$. Some recent results in structure theory of conformal algebras are applied to get a description of TC-algebras.","authors_text":"Pavel Kolesnikov","cross_cats":["math.RA"],"headline":"","license":"","primary_cat":"math.QA","submitted_at":"2007-06-19T06:45:32Z","title":"Associative algebras related to conformal algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0706.2721","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":"sha256:3a6f4fef4bf3f25f38dcd474b1efbc00c76217f45fdf69287909c8048cc63828","target":"record","created_at":"2026-07-04T15:02:18Z","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":"9ba51ea0eaea1c71aafd90683f37534ade3f31023f86d9e05d1af8770ed007a4","cross_cats_sorted":["math.RA"],"license":"","primary_cat":"math.QA","submitted_at":"2007-06-19T06:45:32Z","title_canon_sha256":"fb82c79fd528c2e8fcfcf4712df19d1208760f2d61cad9881b69a94e4ae07c27"},"schema_version":"1.0","source":{"id":"0706.2721","kind":"arxiv","version":1}},"canonical_sha256":"0b00847f55a469ab332bb2474f53063b3ab6cd8db4708c45d13c03688207c9c6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0b00847f55a469ab332bb2474f53063b3ab6cd8db4708c45d13c03688207c9c6","first_computed_at":"2026-07-04T15:02:18.893358Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:02:18.893358Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vOyKuLi8/2EfdYD8vPkwAc8a5UWgdyIWDQ6I4CQjpksdLyjXaZmY5pPyS34DjV4j9vTGATlyvqjetuMEWcGTAw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:02:18.893770Z","signed_message":"canonical_sha256_bytes"},"source_id":"0706.2721","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3a6f4fef4bf3f25f38dcd474b1efbc00c76217f45fdf69287909c8048cc63828","sha256:c8ac087ded748e7759ef1da34b2852c60d011d52ff89820ce59f6a0076d2bb30"],"state_sha256":"ddfffbd678f822b09625d3b935e29eff66adb7b293d4e91a3139ea36f59c41ae"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MCLoHwv/Z8dSgr8LX83CyRcjH3YE6Vk7UQLRJ5hMVNMsJVJdSyO0HEgd+wM6aWzV2HC8g9lFhuSGRzUo0n8QAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T07:45:58.412476Z","bundle_sha256":"ce8a1047a45bb4e7fcd386319038b8d297b2d14355e73edc925d21903e9461b8"}}