{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:QCIQHXQ6XPO5VSQ5WGELDJV5MJ","short_pith_number":"pith:QCIQHXQ6","canonical_record":{"source":{"id":"1909.08042","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-09-17T19:22:58Z","cross_cats_sorted":["astro-ph.HE","cond-mat.quant-gas"],"title_canon_sha256":"5a973f374a1375a7520fe57fa169cac4ac4f371885314981c80e7be6b793d35d","abstract_canon_sha256":"751b662a7d1181c7df9f785de1edc46a605bdee84aca0a0de14fdd21a3e7c099"},"schema_version":"1.0"},"canonical_sha256":"809103de1ebbdddaca1db188b1a6bd62690a9101a8700376dfad37547d8a6ef6","source":{"kind":"arxiv","id":"1909.08042","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1909.08042","created_at":"2026-07-05T00:05:26Z"},{"alias_kind":"arxiv_version","alias_value":"1909.08042v1","created_at":"2026-07-05T00:05:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1909.08042","created_at":"2026-07-05T00:05:26Z"},{"alias_kind":"pith_short_12","alias_value":"QCIQHXQ6XPO5","created_at":"2026-07-05T00:05:26Z"},{"alias_kind":"pith_short_16","alias_value":"QCIQHXQ6XPO5VSQ5","created_at":"2026-07-05T00:05:26Z"},{"alias_kind":"pith_short_8","alias_value":"QCIQHXQ6","created_at":"2026-07-05T00:05:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:QCIQHXQ6XPO5VSQ5WGELDJV5MJ","target":"record","payload":{"canonical_record":{"source":{"id":"1909.08042","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-09-17T19:22:58Z","cross_cats_sorted":["astro-ph.HE","cond-mat.quant-gas"],"title_canon_sha256":"5a973f374a1375a7520fe57fa169cac4ac4f371885314981c80e7be6b793d35d","abstract_canon_sha256":"751b662a7d1181c7df9f785de1edc46a605bdee84aca0a0de14fdd21a3e7c099"},"schema_version":"1.0"},"canonical_sha256":"809103de1ebbdddaca1db188b1a6bd62690a9101a8700376dfad37547d8a6ef6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:05:26.509380Z","signature_b64":"bB8R0hR1oW0d5pjmemI+7HId2Wh0mnT+aqhtl87f8nxB5nuWuw76f8GCyfLqHb5Y6ADgS7eHBUXKZXlRHMswCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"809103de1ebbdddaca1db188b1a6bd62690a9101a8700376dfad37547d8a6ef6","last_reissued_at":"2026-07-05T00:05:26.508898Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:05:26.508898Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1909.08042","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":"2026-07-05T00:05:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/vhPvTh0XwhTHciXuv6PSIn8MnLk2w0O7jfRFNzmEEsNFu8xwumavyqeyEhLH6XZJ9eXaUmQZ3iGA5zhBaCiCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T20:45:17.564365Z"},"content_sha256":"ec6297ca4d6d4a67b89f9cce09a780c6c12c25da8ea1d60ee51d0514c8844e59","schema_version":"1.0","event_id":"sha256:ec6297ca4d6d4a67b89f9cce09a780c6c12c25da8ea1d60ee51d0514c8844e59"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:QCIQHXQ6XPO5VSQ5WGELDJV5MJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Notes on the Squashed Sphere Lowest Landau Level","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE","cond-mat.quant-gas"],"primary_cat":"hep-th","authors_text":"Jeff Murugan, Jonathan P. Shock, Ruach Pillay Slayen","submitted_at":"2019-09-17T19:22:58Z","abstract_excerpt":"In a recent article, we were motivated by the question of whether any of the remarkable condensed matter phenomena, such as the quantum Hall effect (QHE), the Integer quantum Hall effect (IQHE) etc., could potentially be observed in the extreme astrophysical environments of neutron stars. As a prequel to that work, and with the aim of understanding better the role of the geometry of the conducting surface on the structure of Landau levels, in this article we study the quantum dynamics of a quantum particle on a squashed sphere. More specifically, we study the dynamics of a single particle on a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1909.08042","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/1909.08042/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":"2026-07-05T00:05:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HS5t+WbZgGRwlt7zBgjoD07OMgh+HM5p+MCisWx27OcuBTSZLvmbgkGbfeZg5lB7Dd2NLtVDgnufursYEvLPAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T20:45:17.566024Z"},"content_sha256":"a3af766c66fc1b1883bff06e946dbc7f3aa1841a84b0731df1224d901eb3d37e","schema_version":"1.0","event_id":"sha256:a3af766c66fc1b1883bff06e946dbc7f3aa1841a84b0731df1224d901eb3d37e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QCIQHXQ6XPO5VSQ5WGELDJV5MJ/bundle.json","state_url":"https://pith.science/pith/QCIQHXQ6XPO5VSQ5WGELDJV5MJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QCIQHXQ6XPO5VSQ5WGELDJV5MJ/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":"2026-08-13T20:45:17Z","links":{"resolver":"https://pith.science/pith/QCIQHXQ6XPO5VSQ5WGELDJV5MJ","bundle":"https://pith.science/pith/QCIQHXQ6XPO5VSQ5WGELDJV5MJ/bundle.json","state":"https://pith.science/pith/QCIQHXQ6XPO5VSQ5WGELDJV5MJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QCIQHXQ6XPO5VSQ5WGELDJV5MJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:QCIQHXQ6XPO5VSQ5WGELDJV5MJ","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":"751b662a7d1181c7df9f785de1edc46a605bdee84aca0a0de14fdd21a3e7c099","cross_cats_sorted":["astro-ph.HE","cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-09-17T19:22:58Z","title_canon_sha256":"5a973f374a1375a7520fe57fa169cac4ac4f371885314981c80e7be6b793d35d"},"schema_version":"1.0","source":{"id":"1909.08042","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1909.08042","created_at":"2026-07-05T00:05:26Z"},{"alias_kind":"arxiv_version","alias_value":"1909.08042v1","created_at":"2026-07-05T00:05:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1909.08042","created_at":"2026-07-05T00:05:26Z"},{"alias_kind":"pith_short_12","alias_value":"QCIQHXQ6XPO5","created_at":"2026-07-05T00:05:26Z"},{"alias_kind":"pith_short_16","alias_value":"QCIQHXQ6XPO5VSQ5","created_at":"2026-07-05T00:05:26Z"},{"alias_kind":"pith_short_8","alias_value":"QCIQHXQ6","created_at":"2026-07-05T00:05:26Z"}],"graph_snapshots":[{"event_id":"sha256:a3af766c66fc1b1883bff06e946dbc7f3aa1841a84b0731df1224d901eb3d37e","target":"graph","created_at":"2026-07-05T00:05:26Z","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/1909.08042/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In a recent article, we were motivated by the question of whether any of the remarkable condensed matter phenomena, such as the quantum Hall effect (QHE), the Integer quantum Hall effect (IQHE) etc., could potentially be observed in the extreme astrophysical environments of neutron stars. As a prequel to that work, and with the aim of understanding better the role of the geometry of the conducting surface on the structure of Landau levels, in this article we study the quantum dynamics of a quantum particle on a squashed sphere. More specifically, we study the dynamics of a single particle on a","authors_text":"Jeff Murugan, Jonathan P. Shock, Ruach Pillay Slayen","cross_cats":["astro-ph.HE","cond-mat.quant-gas"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-09-17T19:22:58Z","title":"Notes on the Squashed Sphere Lowest Landau Level"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1909.08042","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:ec6297ca4d6d4a67b89f9cce09a780c6c12c25da8ea1d60ee51d0514c8844e59","target":"record","created_at":"2026-07-05T00:05:26Z","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":"751b662a7d1181c7df9f785de1edc46a605bdee84aca0a0de14fdd21a3e7c099","cross_cats_sorted":["astro-ph.HE","cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-09-17T19:22:58Z","title_canon_sha256":"5a973f374a1375a7520fe57fa169cac4ac4f371885314981c80e7be6b793d35d"},"schema_version":"1.0","source":{"id":"1909.08042","kind":"arxiv","version":1}},"canonical_sha256":"809103de1ebbdddaca1db188b1a6bd62690a9101a8700376dfad37547d8a6ef6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"809103de1ebbdddaca1db188b1a6bd62690a9101a8700376dfad37547d8a6ef6","first_computed_at":"2026-07-05T00:05:26.508898Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:05:26.508898Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bB8R0hR1oW0d5pjmemI+7HId2Wh0mnT+aqhtl87f8nxB5nuWuw76f8GCyfLqHb5Y6ADgS7eHBUXKZXlRHMswCA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:05:26.509380Z","signed_message":"canonical_sha256_bytes"},"source_id":"1909.08042","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec6297ca4d6d4a67b89f9cce09a780c6c12c25da8ea1d60ee51d0514c8844e59","sha256:a3af766c66fc1b1883bff06e946dbc7f3aa1841a84b0731df1224d901eb3d37e"],"state_sha256":"a415c3df77599acb7c6169cf845503355fdb6810dcabcea9ff822d2230ac1638"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P3V4ZTk66HEYhmbg5sf6Rehkk/IxDvF62MCmdJ+c0Gb5kM7Rm0Fnq3nyIYV7FdLR+C1wTdXj+D9ISnyouZy/BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T20:45:17.582659Z","bundle_sha256":"8034b421b339b044e4ce09157dd68447f3af96a9f9a63e3d8c75d3cd34433cc7"}}