{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:VOBDCXXC6QKS6CKNWIFQREI4YO","short_pith_number":"pith:VOBDCXXC","canonical_record":{"source":{"id":"1107.5636","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2011-07-28T07:07:30Z","cross_cats_sorted":[],"title_canon_sha256":"74a877310f6f001f575826c0c60fa71889cdc213050605b11f8306ac2c7847be","abstract_canon_sha256":"0ba4cd49b5aefacad75c73fbf936ab9bca084c734377a24dbd31000008df8575"},"schema_version":"1.0"},"canonical_sha256":"ab82315ee2f4152f094db20b08911cc3aad82eefcd93ef14470922bc42c9dc12","source":{"kind":"arxiv","id":"1107.5636","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.5636","created_at":"2026-05-18T03:49:11Z"},{"alias_kind":"arxiv_version","alias_value":"1107.5636v1","created_at":"2026-05-18T03:49:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.5636","created_at":"2026-05-18T03:49:11Z"},{"alias_kind":"pith_short_12","alias_value":"VOBDCXXC6QKS","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"VOBDCXXC6QKS6CKN","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"VOBDCXXC","created_at":"2026-05-18T12:26:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:VOBDCXXC6QKS6CKNWIFQREI4YO","target":"record","payload":{"canonical_record":{"source":{"id":"1107.5636","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2011-07-28T07:07:30Z","cross_cats_sorted":[],"title_canon_sha256":"74a877310f6f001f575826c0c60fa71889cdc213050605b11f8306ac2c7847be","abstract_canon_sha256":"0ba4cd49b5aefacad75c73fbf936ab9bca084c734377a24dbd31000008df8575"},"schema_version":"1.0"},"canonical_sha256":"ab82315ee2f4152f094db20b08911cc3aad82eefcd93ef14470922bc42c9dc12","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:49:11.969499Z","signature_b64":"xfUoHpCWc4RTmyQKB+xZ2QsRPptkRRk4G1jkeldmiCs/JjwRkLHPmKC5eESQ5mkujGKUFOiJ9N7odpIiteuPAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ab82315ee2f4152f094db20b08911cc3aad82eefcd93ef14470922bc42c9dc12","last_reissued_at":"2026-05-18T03:49:11.968812Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:49:11.968812Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.5636","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":"2026-05-18T03:49:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dtLvhBGvTkebWRBeid120UesO4oCO7HwJ2mKQ1e8BWBzpifmpRzS91+8qVbMWrK/mlzayIU53QmGftOZ1MGECQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T12:05:20.768347Z"},"content_sha256":"090d7e96aeeebf7f07ad70fb616e40aedd5376dcf969f22d6b2015e6642291b8","schema_version":"1.0","event_id":"sha256:090d7e96aeeebf7f07ad70fb616e40aedd5376dcf969f22d6b2015e6642291b8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:VOBDCXXC6QKS6CKNWIFQREI4YO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two-dimensional Noncommutative atom Gas with Anandan interaction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"Kang Li, Xiaomin Yu","submitted_at":"2011-07-28T07:07:30Z","abstract_excerpt":"Landau like quantization of the Anandan system in a special electromagnetic field is studied. Unlike the cases of the AC system and the HMW system, the torques of the system on the magnetic dipole and the electric dipole don't vanish. By constructing Heisenberg algebra, the Landau analog levels and eigenstates on commutative space, NC space and NC phase space are obtained respectively. By using the coherent state method, some statistical properties of such free atom gas are studied and the expressions of some thermodynamic quantities related to revolution direction are obtained. Two particular"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.5636","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":"2026-05-18T03:49:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cXVjkk/Tlv82KmCX0w7Yg3m4hu6xFKl1xAKEyjxigJbx/3ll+xjQu7mPY1SIuCKs9ABQwK/qwy4gTmGDqR5YAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T12:05:20.769038Z"},"content_sha256":"6e12a99ff88a2e9f1fc7410cabe79643a0a78b1a128714e244c9d909091c6ae4","schema_version":"1.0","event_id":"sha256:6e12a99ff88a2e9f1fc7410cabe79643a0a78b1a128714e244c9d909091c6ae4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VOBDCXXC6QKS6CKNWIFQREI4YO/bundle.json","state_url":"https://pith.science/pith/VOBDCXXC6QKS6CKNWIFQREI4YO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VOBDCXXC6QKS6CKNWIFQREI4YO/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":"2026-06-10T12:05:20Z","links":{"resolver":"https://pith.science/pith/VOBDCXXC6QKS6CKNWIFQREI4YO","bundle":"https://pith.science/pith/VOBDCXXC6QKS6CKNWIFQREI4YO/bundle.json","state":"https://pith.science/pith/VOBDCXXC6QKS6CKNWIFQREI4YO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VOBDCXXC6QKS6CKNWIFQREI4YO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:VOBDCXXC6QKS6CKNWIFQREI4YO","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":"0ba4cd49b5aefacad75c73fbf936ab9bca084c734377a24dbd31000008df8575","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2011-07-28T07:07:30Z","title_canon_sha256":"74a877310f6f001f575826c0c60fa71889cdc213050605b11f8306ac2c7847be"},"schema_version":"1.0","source":{"id":"1107.5636","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.5636","created_at":"2026-05-18T03:49:11Z"},{"alias_kind":"arxiv_version","alias_value":"1107.5636v1","created_at":"2026-05-18T03:49:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.5636","created_at":"2026-05-18T03:49:11Z"},{"alias_kind":"pith_short_12","alias_value":"VOBDCXXC6QKS","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"VOBDCXXC6QKS6CKN","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"VOBDCXXC","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:6e12a99ff88a2e9f1fc7410cabe79643a0a78b1a128714e244c9d909091c6ae4","target":"graph","created_at":"2026-05-18T03:49:11Z","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":"Landau like quantization of the Anandan system in a special electromagnetic field is studied. Unlike the cases of the AC system and the HMW system, the torques of the system on the magnetic dipole and the electric dipole don't vanish. By constructing Heisenberg algebra, the Landau analog levels and eigenstates on commutative space, NC space and NC phase space are obtained respectively. By using the coherent state method, some statistical properties of such free atom gas are studied and the expressions of some thermodynamic quantities related to revolution direction are obtained. Two particular","authors_text":"Kang Li, Xiaomin Yu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2011-07-28T07:07:30Z","title":"Two-dimensional Noncommutative atom Gas with Anandan interaction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.5636","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":"sha256:090d7e96aeeebf7f07ad70fb616e40aedd5376dcf969f22d6b2015e6642291b8","target":"record","created_at":"2026-05-18T03:49:11Z","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":"0ba4cd49b5aefacad75c73fbf936ab9bca084c734377a24dbd31000008df8575","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2011-07-28T07:07:30Z","title_canon_sha256":"74a877310f6f001f575826c0c60fa71889cdc213050605b11f8306ac2c7847be"},"schema_version":"1.0","source":{"id":"1107.5636","kind":"arxiv","version":1}},"canonical_sha256":"ab82315ee2f4152f094db20b08911cc3aad82eefcd93ef14470922bc42c9dc12","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ab82315ee2f4152f094db20b08911cc3aad82eefcd93ef14470922bc42c9dc12","first_computed_at":"2026-05-18T03:49:11.968812Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:49:11.968812Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xfUoHpCWc4RTmyQKB+xZ2QsRPptkRRk4G1jkeldmiCs/JjwRkLHPmKC5eESQ5mkujGKUFOiJ9N7odpIiteuPAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:49:11.969499Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.5636","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:090d7e96aeeebf7f07ad70fb616e40aedd5376dcf969f22d6b2015e6642291b8","sha256:6e12a99ff88a2e9f1fc7410cabe79643a0a78b1a128714e244c9d909091c6ae4"],"state_sha256":"93a5304efb73dc273abe64afb6fb67a74ccad284aa4d7ca70d60fada543408d0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BcLabdcHjrZd0zi9m7sAJTiP3btl65fM7P446cfrjjCTdxJoNtQ9MPncSfdvLHyPRq9toa2YibcskrP37GanBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T12:05:20.773055Z","bundle_sha256":"20dcb58622812d0f8f16f84f990f4041f9c24c23e4a80a519269d330443d4c85"}}