{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:YVOW2Q3W3PJALJTVPFMZP5V3GI","short_pith_number":"pith:YVOW2Q3W","canonical_record":{"source":{"id":"2304.05001","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.RA","submitted_at":"2023-04-11T06:17:34Z","cross_cats_sorted":[],"title_canon_sha256":"c26c81f11af1405d89766200b09a72c3a310953edbdcd2c3c5579f3f254fe50e","abstract_canon_sha256":"ac411d25f6864f433d98783412a98f22b7c9be4006369732e1a0240430e26e71"},"schema_version":"1.0"},"canonical_sha256":"c55d6d4376dbd205a675795997f6bb32151548abf8b22d1e1d56352849cb1b77","source":{"kind":"arxiv","id":"2304.05001","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.05001","created_at":"2026-07-05T05:59:54Z"},{"alias_kind":"arxiv_version","alias_value":"2304.05001v1","created_at":"2026-07-05T05:59:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.05001","created_at":"2026-07-05T05:59:54Z"},{"alias_kind":"pith_short_12","alias_value":"YVOW2Q3W3PJA","created_at":"2026-07-05T05:59:54Z"},{"alias_kind":"pith_short_16","alias_value":"YVOW2Q3W3PJALJTV","created_at":"2026-07-05T05:59:54Z"},{"alias_kind":"pith_short_8","alias_value":"YVOW2Q3W","created_at":"2026-07-05T05:59:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:YVOW2Q3W3PJALJTVPFMZP5V3GI","target":"record","payload":{"canonical_record":{"source":{"id":"2304.05001","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.RA","submitted_at":"2023-04-11T06:17:34Z","cross_cats_sorted":[],"title_canon_sha256":"c26c81f11af1405d89766200b09a72c3a310953edbdcd2c3c5579f3f254fe50e","abstract_canon_sha256":"ac411d25f6864f433d98783412a98f22b7c9be4006369732e1a0240430e26e71"},"schema_version":"1.0"},"canonical_sha256":"c55d6d4376dbd205a675795997f6bb32151548abf8b22d1e1d56352849cb1b77","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:59:54.099259Z","signature_b64":"Bb4itSIw+GzMr21GrpYB5fQkppl932xkxGKKt6CGlsNFy3lj8eNCSGJp3SS5gOyHn8rhSczAphxp4fvzcsi3AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c55d6d4376dbd205a675795997f6bb32151548abf8b22d1e1d56352849cb1b77","last_reissued_at":"2026-07-05T05:59:54.098923Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:59:54.098923Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2304.05001","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":"2026-07-05T05:59:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1CoNuAHsT487uchMa1s3YfxHU4grJdbsmn9ycS49xTqDgzBUFx/mqgvN8fenMAeCpUid7+LkYhFKxLn1LeGjDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T15:49:26.055928Z"},"content_sha256":"7a67d77b1e7537c962b577917246d8c0a51ccd58d1a144b11fb6f16d73c471dc","schema_version":"1.0","event_id":"sha256:7a67d77b1e7537c962b577917246d8c0a51ccd58d1a144b11fb6f16d73c471dc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:YVOW2Q3W3PJALJTVPFMZP5V3GI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"One-dimensional central extensions and simplicities of a class of left-symmetric conformal algebras","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Yanyong Hong, Zhongyin Xu","submitted_at":"2023-04-11T06:17:34Z","abstract_excerpt":"In this paper, we introduce the definition of pre-Gel'fand-Dorfman algebra and present several constructions. Moreover, we show that a class of left-symmetric conformal algebras named quadratic left-symmetric conformal algebras are one to one correspondence with pre-Gel'fand-Dorfman algebras. Then we investigate the simplicities and central extensions of quadratic left-symmetric conformal algebras by a one-dimensional centre from the point of view of pre-Gel'fand-Dorfman algebras. We show that under some conditions, central extensions of quadratic left-symmetric conformal algebras by a one-dim"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.05001","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/2304.05001/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":"2026-07-05T05:59:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h+CO9+/5S8HNb1TOSOZwtfh/mCgKLk2xihBPMWBcfSBKST7WnvS5Lu9A99DZQ5qzdevPQQ3dc8370zxadKLdDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T15:49:26.057026Z"},"content_sha256":"baa1054da5e1100e912ebf6358eebdcc7fae429c4df2d1df907c3725afffa095","schema_version":"1.0","event_id":"sha256:baa1054da5e1100e912ebf6358eebdcc7fae429c4df2d1df907c3725afffa095"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YVOW2Q3W3PJALJTVPFMZP5V3GI/bundle.json","state_url":"https://pith.science/pith/YVOW2Q3W3PJALJTVPFMZP5V3GI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YVOW2Q3W3PJALJTVPFMZP5V3GI/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":"2026-08-06T15:49:26Z","links":{"resolver":"https://pith.science/pith/YVOW2Q3W3PJALJTVPFMZP5V3GI","bundle":"https://pith.science/pith/YVOW2Q3W3PJALJTVPFMZP5V3GI/bundle.json","state":"https://pith.science/pith/YVOW2Q3W3PJALJTVPFMZP5V3GI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YVOW2Q3W3PJALJTVPFMZP5V3GI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:YVOW2Q3W3PJALJTVPFMZP5V3GI","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":"ac411d25f6864f433d98783412a98f22b7c9be4006369732e1a0240430e26e71","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.RA","submitted_at":"2023-04-11T06:17:34Z","title_canon_sha256":"c26c81f11af1405d89766200b09a72c3a310953edbdcd2c3c5579f3f254fe50e"},"schema_version":"1.0","source":{"id":"2304.05001","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.05001","created_at":"2026-07-05T05:59:54Z"},{"alias_kind":"arxiv_version","alias_value":"2304.05001v1","created_at":"2026-07-05T05:59:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.05001","created_at":"2026-07-05T05:59:54Z"},{"alias_kind":"pith_short_12","alias_value":"YVOW2Q3W3PJA","created_at":"2026-07-05T05:59:54Z"},{"alias_kind":"pith_short_16","alias_value":"YVOW2Q3W3PJALJTV","created_at":"2026-07-05T05:59:54Z"},{"alias_kind":"pith_short_8","alias_value":"YVOW2Q3W","created_at":"2026-07-05T05:59:54Z"}],"graph_snapshots":[{"event_id":"sha256:baa1054da5e1100e912ebf6358eebdcc7fae429c4df2d1df907c3725afffa095","target":"graph","created_at":"2026-07-05T05:59:54Z","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/2304.05001/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we introduce the definition of pre-Gel'fand-Dorfman algebra and present several constructions. Moreover, we show that a class of left-symmetric conformal algebras named quadratic left-symmetric conformal algebras are one to one correspondence with pre-Gel'fand-Dorfman algebras. Then we investigate the simplicities and central extensions of quadratic left-symmetric conformal algebras by a one-dimensional centre from the point of view of pre-Gel'fand-Dorfman algebras. We show that under some conditions, central extensions of quadratic left-symmetric conformal algebras by a one-dim","authors_text":"Yanyong Hong, Zhongyin Xu","cross_cats":[],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.RA","submitted_at":"2023-04-11T06:17:34Z","title":"One-dimensional central extensions and simplicities of a class of left-symmetric conformal algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.05001","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":"sha256:7a67d77b1e7537c962b577917246d8c0a51ccd58d1a144b11fb6f16d73c471dc","target":"record","created_at":"2026-07-05T05:59:54Z","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":"ac411d25f6864f433d98783412a98f22b7c9be4006369732e1a0240430e26e71","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.RA","submitted_at":"2023-04-11T06:17:34Z","title_canon_sha256":"c26c81f11af1405d89766200b09a72c3a310953edbdcd2c3c5579f3f254fe50e"},"schema_version":"1.0","source":{"id":"2304.05001","kind":"arxiv","version":1}},"canonical_sha256":"c55d6d4376dbd205a675795997f6bb32151548abf8b22d1e1d56352849cb1b77","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c55d6d4376dbd205a675795997f6bb32151548abf8b22d1e1d56352849cb1b77","first_computed_at":"2026-07-05T05:59:54.098923Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:59:54.098923Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Bb4itSIw+GzMr21GrpYB5fQkppl932xkxGKKt6CGlsNFy3lj8eNCSGJp3SS5gOyHn8rhSczAphxp4fvzcsi3AA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:59:54.099259Z","signed_message":"canonical_sha256_bytes"},"source_id":"2304.05001","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7a67d77b1e7537c962b577917246d8c0a51ccd58d1a144b11fb6f16d73c471dc","sha256:baa1054da5e1100e912ebf6358eebdcc7fae429c4df2d1df907c3725afffa095"],"state_sha256":"dea13a57dc341fecd596b73b290517574002eb6af71be7ed3302018c4f13b5fa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ztn5pPrgbY6R0u7fUhkhLXN3az3DT8WS20IU5ff8RyHcDKXVZMszKCoRC+XzGcpX/hRh35Zp3F7FGY0cwnBADw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T15:49:26.063887Z","bundle_sha256":"dd221a46eb0e2d998c7ae73ed07dfd34bf2b58c73106eb78bf3935a12ac83ec0"}}