{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:O7NATEV7BA2VVAP7JBEXHCGIGW","short_pith_number":"pith:O7NATEV7","canonical_record":{"source":{"id":"1806.10106","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-06-26T16:49:40Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"f9e1175624dcc2478081cf924381c5594430dbbe0a31a32f77e7f7a7c2805602","abstract_canon_sha256":"083c8f24442254721870a01c71afa5728f010c9b91df5adb5fc044c2c7647480"},"schema_version":"1.0"},"canonical_sha256":"77da0992bf08355a81ff48497388c835a80a00d8ccca3889102b1a80e0032bfb","source":{"kind":"arxiv","id":"1806.10106","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.10106","created_at":"2026-05-18T00:07:49Z"},{"alias_kind":"arxiv_version","alias_value":"1806.10106v2","created_at":"2026-05-18T00:07:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.10106","created_at":"2026-05-18T00:07:49Z"},{"alias_kind":"pith_short_12","alias_value":"O7NATEV7BA2V","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"O7NATEV7BA2VVAP7","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"O7NATEV7","created_at":"2026-05-18T12:32:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:O7NATEV7BA2VVAP7JBEXHCGIGW","target":"record","payload":{"canonical_record":{"source":{"id":"1806.10106","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-06-26T16:49:40Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"f9e1175624dcc2478081cf924381c5594430dbbe0a31a32f77e7f7a7c2805602","abstract_canon_sha256":"083c8f24442254721870a01c71afa5728f010c9b91df5adb5fc044c2c7647480"},"schema_version":"1.0"},"canonical_sha256":"77da0992bf08355a81ff48497388c835a80a00d8ccca3889102b1a80e0032bfb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:07:49.184875Z","signature_b64":"cPTCMloP8ACrvKcLrtjTfVCr6i5gN9FN81k9MnHjrgHNp7YEz0fQf8fvYt489AIqO0t9hlZLF6gOWgBXr/dZDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"77da0992bf08355a81ff48497388c835a80a00d8ccca3889102b1a80e0032bfb","last_reissued_at":"2026-05-18T00:07:49.184142Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:07:49.184142Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1806.10106","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:07:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"imGT+wKSf8lABL+E0eTxxqSD4TuHbwYiXRjISChTNFgfhA09GSPZ4fggVIYvWsxbNFl6XYkCTRL3LOeY1q3xCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T21:23:28.331049Z"},"content_sha256":"240f805944e3821ec85828846e44a4a46072fc366512b40f68a677fa79b5ec3a","schema_version":"1.0","event_id":"sha256:240f805944e3821ec85828846e44a4a46072fc366512b40f68a677fa79b5ec3a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:O7NATEV7BA2VVAP7JBEXHCGIGW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The origin of holomorphic states in Landau levels from non-commutative geometry, and a new formula for their overlaps on the torus","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.str-el","authors_text":"F. D. M. Haldane","submitted_at":"2018-06-26T16:49:40Z","abstract_excerpt":"Holomorphic functions that characterize states in a two-dimensional Landau level been central to key developments such as the Laughlin state. Their origin has historically been attributed to a special property of \"Schr\\\"odinger wavefunctions\" of states in the \"lowest Landau level\". It is shown here that they instead arise in any Landau level as a generic mathematical property of the Heisenberg description of the non-commutative geometry of guiding centers. When quasiperiodic boundary conditions are applied to compactify the system on a torus, a new formula for the overlap between holomorphic s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.10106","kind":"arxiv","version":2},"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":"2026-05-18T00:07:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sm4xlbe54MFiNneRRmZ7p/bqaEfQIjt8rxUnsbhupORqxIrN38BP6ahxaq7i+RPe7y5qvg9qpHJRawEEJEQ1CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T21:23:28.331400Z"},"content_sha256":"033f10c45f0b71d6438adee23b96c2f9d2c3e6a808924efd714cd0782bac9bbb","schema_version":"1.0","event_id":"sha256:033f10c45f0b71d6438adee23b96c2f9d2c3e6a808924efd714cd0782bac9bbb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/O7NATEV7BA2VVAP7JBEXHCGIGW/bundle.json","state_url":"https://pith.science/pith/O7NATEV7BA2VVAP7JBEXHCGIGW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/O7NATEV7BA2VVAP7JBEXHCGIGW/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":"2026-08-11T21:23:28Z","links":{"resolver":"https://pith.science/pith/O7NATEV7BA2VVAP7JBEXHCGIGW","bundle":"https://pith.science/pith/O7NATEV7BA2VVAP7JBEXHCGIGW/bundle.json","state":"https://pith.science/pith/O7NATEV7BA2VVAP7JBEXHCGIGW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/O7NATEV7BA2VVAP7JBEXHCGIGW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:O7NATEV7BA2VVAP7JBEXHCGIGW","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":"083c8f24442254721870a01c71afa5728f010c9b91df5adb5fc044c2c7647480","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-06-26T16:49:40Z","title_canon_sha256":"f9e1175624dcc2478081cf924381c5594430dbbe0a31a32f77e7f7a7c2805602"},"schema_version":"1.0","source":{"id":"1806.10106","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.10106","created_at":"2026-05-18T00:07:49Z"},{"alias_kind":"arxiv_version","alias_value":"1806.10106v2","created_at":"2026-05-18T00:07:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.10106","created_at":"2026-05-18T00:07:49Z"},{"alias_kind":"pith_short_12","alias_value":"O7NATEV7BA2V","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"O7NATEV7BA2VVAP7","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"O7NATEV7","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:033f10c45f0b71d6438adee23b96c2f9d2c3e6a808924efd714cd0782bac9bbb","target":"graph","created_at":"2026-05-18T00:07:49Z","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":"Holomorphic functions that characterize states in a two-dimensional Landau level been central to key developments such as the Laughlin state. Their origin has historically been attributed to a special property of \"Schr\\\"odinger wavefunctions\" of states in the \"lowest Landau level\". It is shown here that they instead arise in any Landau level as a generic mathematical property of the Heisenberg description of the non-commutative geometry of guiding centers. When quasiperiodic boundary conditions are applied to compactify the system on a torus, a new formula for the overlap between holomorphic s","authors_text":"F. D. M. Haldane","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-06-26T16:49:40Z","title":"The origin of holomorphic states in Landau levels from non-commutative geometry, and a new formula for their overlaps on the torus"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.10106","kind":"arxiv","version":2},"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":"sha256:240f805944e3821ec85828846e44a4a46072fc366512b40f68a677fa79b5ec3a","target":"record","created_at":"2026-05-18T00:07:49Z","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":"083c8f24442254721870a01c71afa5728f010c9b91df5adb5fc044c2c7647480","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-06-26T16:49:40Z","title_canon_sha256":"f9e1175624dcc2478081cf924381c5594430dbbe0a31a32f77e7f7a7c2805602"},"schema_version":"1.0","source":{"id":"1806.10106","kind":"arxiv","version":2}},"canonical_sha256":"77da0992bf08355a81ff48497388c835a80a00d8ccca3889102b1a80e0032bfb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"77da0992bf08355a81ff48497388c835a80a00d8ccca3889102b1a80e0032bfb","first_computed_at":"2026-05-18T00:07:49.184142Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:07:49.184142Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cPTCMloP8ACrvKcLrtjTfVCr6i5gN9FN81k9MnHjrgHNp7YEz0fQf8fvYt489AIqO0t9hlZLF6gOWgBXr/dZDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:07:49.184875Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.10106","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:240f805944e3821ec85828846e44a4a46072fc366512b40f68a677fa79b5ec3a","sha256:033f10c45f0b71d6438adee23b96c2f9d2c3e6a808924efd714cd0782bac9bbb"],"state_sha256":"94f2fb8fe9440adc090aca5ccf2ba470b080107829087bb0f4d2af6e0c4de5e1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MwjmioYxQevp/6bkfPdP2HyAHoBPozH5T/l4wEkjrlUfpbuSq30QNYvatvspUihAJFjc3Nd2xWTqGrw8J84BBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T21:23:28.358940Z","bundle_sha256":"7fad90acf140937a766fdbe213d72824a8ac3416dc676aadb5163afa043d15be"}}