{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1995:P66F63BBSJ7V72RK24T6PEFHAP","short_pith_number":"pith:P66F63BB","canonical_record":{"source":{"id":"cond-mat/9509091","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"1995-09-15T09:01:06Z","cross_cats_sorted":[],"title_canon_sha256":"04335abda874622bf320eb9c2f7f3ee5cdc16650d7383b0e30c528706876b651","abstract_canon_sha256":"33ae40fa22611f55efedf071de207644071e0c321e5b9b145d854f55d89e1da4"},"schema_version":"1.0"},"canonical_sha256":"7fbc5f6c21927f5fea2ad727e790a703ee53118318d212a3ec9d7b1596c58854","source":{"kind":"arxiv","id":"cond-mat/9509091","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9509091","created_at":"2026-05-18T01:39:34Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9509091v1","created_at":"2026-05-18T01:39:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9509091","created_at":"2026-05-18T01:39:34Z"},{"alias_kind":"pith_short_12","alias_value":"P66F63BBSJ7V","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"P66F63BBSJ7V72RK","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"P66F63BB","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1995:P66F63BBSJ7V72RK24T6PEFHAP","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/9509091","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"1995-09-15T09:01:06Z","cross_cats_sorted":[],"title_canon_sha256":"04335abda874622bf320eb9c2f7f3ee5cdc16650d7383b0e30c528706876b651","abstract_canon_sha256":"33ae40fa22611f55efedf071de207644071e0c321e5b9b145d854f55d89e1da4"},"schema_version":"1.0"},"canonical_sha256":"7fbc5f6c21927f5fea2ad727e790a703ee53118318d212a3ec9d7b1596c58854","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:34.892255Z","signature_b64":"AvtS0OOB3qxHM951RXjg04IlNvG3Ur2ln3r1XMfekijVHhpQKevJ4Rq4aGcfmx2PnEkCpVwmr01iVLGyYJhyAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7fbc5f6c21927f5fea2ad727e790a703ee53118318d212a3ec9d7b1596c58854","last_reissued_at":"2026-05-18T01:39:34.891640Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:34.891640Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/9509091","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":"2026-05-18T01:39:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DC3VGV2GE00c1yoD9qpH7h7QUfvLarBWfNCXGLMOTizTOtF73a6LKzv9BAd1MfmcK33fq13agLF6pYEs2KslCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T03:57:20.166723Z"},"content_sha256":"a8e6dde1a54d27c6a4eb1f44b6bf8351b252bf973d68835454720aa58601c256","schema_version":"1.0","event_id":"sha256:a8e6dde1a54d27c6a4eb1f44b6bf8351b252bf973d68835454720aa58601c256"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1995:P66F63BBSJ7V72RK24T6PEFHAP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Degeneracy of Landau Level and Quantum Group SL_q(2)","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"Guang-Hong Chen, Le-Man Kuang, Mo-Lin Ge","submitted_at":"1995-09-15T09:01:06Z","abstract_excerpt":"We show that there is a kind of quantum group symmetry $ sl_{q}(2) $ in the usual Landau problem and it is this quantum group symmetry that governs the degeneracy of Landau levels. We find that under the periodic boundary condition, the degree of degeneracy of Landau levels is finite, and it just equals the dimension of the irreducible cyclic representation of the quantum group $ sl_{q}(2) $."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9509091","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":"2026-05-18T01:39:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W2pvCR1sro4cRXL/vauAq9UvKkfuGBXVdVZKXib3qU/r47uzSIApDPY0RX4pN9T3YvTxH4CpZMNpePW/msGOAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T03:57:20.167462Z"},"content_sha256":"366acea2fb2b2dd26457e0156bee9d3733a32447aad19427bb298fa03a692b1a","schema_version":"1.0","event_id":"sha256:366acea2fb2b2dd26457e0156bee9d3733a32447aad19427bb298fa03a692b1a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P66F63BBSJ7V72RK24T6PEFHAP/bundle.json","state_url":"https://pith.science/pith/P66F63BBSJ7V72RK24T6PEFHAP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P66F63BBSJ7V72RK24T6PEFHAP/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":"2026-06-11T03:57:20Z","links":{"resolver":"https://pith.science/pith/P66F63BBSJ7V72RK24T6PEFHAP","bundle":"https://pith.science/pith/P66F63BBSJ7V72RK24T6PEFHAP/bundle.json","state":"https://pith.science/pith/P66F63BBSJ7V72RK24T6PEFHAP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P66F63BBSJ7V72RK24T6PEFHAP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:P66F63BBSJ7V72RK24T6PEFHAP","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":"33ae40fa22611f55efedf071de207644071e0c321e5b9b145d854f55d89e1da4","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"1995-09-15T09:01:06Z","title_canon_sha256":"04335abda874622bf320eb9c2f7f3ee5cdc16650d7383b0e30c528706876b651"},"schema_version":"1.0","source":{"id":"cond-mat/9509091","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9509091","created_at":"2026-05-18T01:39:34Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9509091v1","created_at":"2026-05-18T01:39:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9509091","created_at":"2026-05-18T01:39:34Z"},{"alias_kind":"pith_short_12","alias_value":"P66F63BBSJ7V","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"P66F63BBSJ7V72RK","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"P66F63BB","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:366acea2fb2b2dd26457e0156bee9d3733a32447aad19427bb298fa03a692b1a","target":"graph","created_at":"2026-05-18T01:39:34Z","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":"We show that there is a kind of quantum group symmetry $ sl_{q}(2) $ in the usual Landau problem and it is this quantum group symmetry that governs the degeneracy of Landau levels. We find that under the periodic boundary condition, the degree of degeneracy of Landau levels is finite, and it just equals the dimension of the irreducible cyclic representation of the quantum group $ sl_{q}(2) $.","authors_text":"Guang-Hong Chen, Le-Man Kuang, Mo-Lin Ge","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat","submitted_at":"1995-09-15T09:01:06Z","title":"Degeneracy of Landau Level and Quantum Group SL_q(2)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9509091","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:a8e6dde1a54d27c6a4eb1f44b6bf8351b252bf973d68835454720aa58601c256","target":"record","created_at":"2026-05-18T01:39:34Z","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":"33ae40fa22611f55efedf071de207644071e0c321e5b9b145d854f55d89e1da4","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"1995-09-15T09:01:06Z","title_canon_sha256":"04335abda874622bf320eb9c2f7f3ee5cdc16650d7383b0e30c528706876b651"},"schema_version":"1.0","source":{"id":"cond-mat/9509091","kind":"arxiv","version":1}},"canonical_sha256":"7fbc5f6c21927f5fea2ad727e790a703ee53118318d212a3ec9d7b1596c58854","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7fbc5f6c21927f5fea2ad727e790a703ee53118318d212a3ec9d7b1596c58854","first_computed_at":"2026-05-18T01:39:34.891640Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:34.891640Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AvtS0OOB3qxHM951RXjg04IlNvG3Ur2ln3r1XMfekijVHhpQKevJ4Rq4aGcfmx2PnEkCpVwmr01iVLGyYJhyAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:34.892255Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9509091","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a8e6dde1a54d27c6a4eb1f44b6bf8351b252bf973d68835454720aa58601c256","sha256:366acea2fb2b2dd26457e0156bee9d3733a32447aad19427bb298fa03a692b1a"],"state_sha256":"c19d3ecdbe44cd17cd07d2988646fd01bf3f0e747122ec8a96495b399569a9ab"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gJZqL+T88RScQuCxAowOkITxFPWeGLWd66uFrJYRSE4hkvrKCxxyisWQAGDA5NY4G6YIypC1rsKisi6JpeBxDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T03:57:20.171431Z","bundle_sha256":"1a4016b5ead1dea395e037fe51d64e64f24ce64a417e08465017093b9b81f9a3"}}