{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:Q7MZNFD2XDOMKFUFSADBXNBG2D","short_pith_number":"pith:Q7MZNFD2","canonical_record":{"source":{"id":"1907.03193","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2019-07-06T21:47:35Z","cross_cats_sorted":[],"title_canon_sha256":"768cd7131f881c784bb577128fd53e72eb30603d69ff7bde8fe385fb2067de65","abstract_canon_sha256":"7098f19b1e7038e610d1d69a8e184c2f1fb316683f6ac38a103dd3f303cb3130"},"schema_version":"1.0"},"canonical_sha256":"87d996947ab8dcc5168590061bb426d0f83cde80fdd4498b46e652b40d1f947e","source":{"kind":"arxiv","id":"1907.03193","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.03193","created_at":"2026-07-05T01:13:23Z"},{"alias_kind":"arxiv_version","alias_value":"1907.03193v2","created_at":"2026-07-05T01:13:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.03193","created_at":"2026-07-05T01:13:23Z"},{"alias_kind":"pith_short_12","alias_value":"Q7MZNFD2XDOM","created_at":"2026-07-05T01:13:23Z"},{"alias_kind":"pith_short_16","alias_value":"Q7MZNFD2XDOMKFUF","created_at":"2026-07-05T01:13:23Z"},{"alias_kind":"pith_short_8","alias_value":"Q7MZNFD2","created_at":"2026-07-05T01:13:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:Q7MZNFD2XDOMKFUFSADBXNBG2D","target":"record","payload":{"canonical_record":{"source":{"id":"1907.03193","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2019-07-06T21:47:35Z","cross_cats_sorted":[],"title_canon_sha256":"768cd7131f881c784bb577128fd53e72eb30603d69ff7bde8fe385fb2067de65","abstract_canon_sha256":"7098f19b1e7038e610d1d69a8e184c2f1fb316683f6ac38a103dd3f303cb3130"},"schema_version":"1.0"},"canonical_sha256":"87d996947ab8dcc5168590061bb426d0f83cde80fdd4498b46e652b40d1f947e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:13:23.209833Z","signature_b64":"Rw5dFz90mEq8CxJs9jPK+uOIBPhv51U/0U+VfTxUq7nPgvpFcL0nb8lGsHzWLicK7fCqtEYq+G/gg4JkSFJ8Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"87d996947ab8dcc5168590061bb426d0f83cde80fdd4498b46e652b40d1f947e","last_reissued_at":"2026-07-05T01:13:23.209308Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:13:23.209308Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1907.03193","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":"2026-07-05T01:13:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rm3jooVeCltqmSWjBHauvLBiG2iIbbmPhxuZfP1j9YUB+vontEdGAVPt+s9BY8uexiDynJK86tIG16BAfPIeDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T14:08:03.747097Z"},"content_sha256":"54db4070f5c932e97294013dfb70a7af905023281ce538af9c58da95582a2664","schema_version":"1.0","event_id":"sha256:54db4070f5c932e97294013dfb70a7af905023281ce538af9c58da95582a2664"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:Q7MZNFD2XDOMKFUFSADBXNBG2D","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Anyons and Fractional Quantum Hall Effect in Fractal Dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Anne E. B. Nielsen, Biplab Pal, Sourav Manna, Wei Wang","submitted_at":"2019-07-06T21:47:35Z","abstract_excerpt":"The fractional quantum Hall effect is a paradigm of topological order and has been studied thoroughly in two dimensions. Here, we construct a new type of fractional quantum Hall system, which has the special property that it lives in fractal dimensions. We provide analytical wave functions and exact few-body parent Hamiltonians, and we show numerically for several different Hausdorff dimensions between 1 and 2 that the systems host anyons. We also find examples of fractional quantum Hall physics in fractals with Hausdorff dimension 1 and ln(4)/ln(5). Our results suggest that the local structur"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.03193","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1907.03193/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":"2026-07-05T01:13:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eKQZ6+Tu3vnQv4ZUfQCzttaODezTQjuwib8oJ6HmbeVGE4zlT84CYb3yU8qXg6LC4i6fFIMrPLiseikeIsEXCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T14:08:03.747737Z"},"content_sha256":"4666e18e6911dd711554a2c8ba0974a68aff441058d8fba21865ae4eb47ec857","schema_version":"1.0","event_id":"sha256:4666e18e6911dd711554a2c8ba0974a68aff441058d8fba21865ae4eb47ec857"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q7MZNFD2XDOMKFUFSADBXNBG2D/bundle.json","state_url":"https://pith.science/pith/Q7MZNFD2XDOMKFUFSADBXNBG2D/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q7MZNFD2XDOMKFUFSADBXNBG2D/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":"2026-07-05T14:08:03Z","links":{"resolver":"https://pith.science/pith/Q7MZNFD2XDOMKFUFSADBXNBG2D","bundle":"https://pith.science/pith/Q7MZNFD2XDOMKFUFSADBXNBG2D/bundle.json","state":"https://pith.science/pith/Q7MZNFD2XDOMKFUFSADBXNBG2D/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q7MZNFD2XDOMKFUFSADBXNBG2D/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:Q7MZNFD2XDOMKFUFSADBXNBG2D","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":"7098f19b1e7038e610d1d69a8e184c2f1fb316683f6ac38a103dd3f303cb3130","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2019-07-06T21:47:35Z","title_canon_sha256":"768cd7131f881c784bb577128fd53e72eb30603d69ff7bde8fe385fb2067de65"},"schema_version":"1.0","source":{"id":"1907.03193","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.03193","created_at":"2026-07-05T01:13:23Z"},{"alias_kind":"arxiv_version","alias_value":"1907.03193v2","created_at":"2026-07-05T01:13:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.03193","created_at":"2026-07-05T01:13:23Z"},{"alias_kind":"pith_short_12","alias_value":"Q7MZNFD2XDOM","created_at":"2026-07-05T01:13:23Z"},{"alias_kind":"pith_short_16","alias_value":"Q7MZNFD2XDOMKFUF","created_at":"2026-07-05T01:13:23Z"},{"alias_kind":"pith_short_8","alias_value":"Q7MZNFD2","created_at":"2026-07-05T01:13:23Z"}],"graph_snapshots":[{"event_id":"sha256:4666e18e6911dd711554a2c8ba0974a68aff441058d8fba21865ae4eb47ec857","target":"graph","created_at":"2026-07-05T01:13:23Z","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/1907.03193/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The fractional quantum Hall effect is a paradigm of topological order and has been studied thoroughly in two dimensions. Here, we construct a new type of fractional quantum Hall system, which has the special property that it lives in fractal dimensions. We provide analytical wave functions and exact few-body parent Hamiltonians, and we show numerically for several different Hausdorff dimensions between 1 and 2 that the systems host anyons. We also find examples of fractional quantum Hall physics in fractals with Hausdorff dimension 1 and ln(4)/ln(5). Our results suggest that the local structur","authors_text":"Anne E. B. Nielsen, Biplab Pal, Sourav Manna, Wei Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2019-07-06T21:47:35Z","title":"Anyons and Fractional Quantum Hall Effect in Fractal Dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.03193","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":"sha256:54db4070f5c932e97294013dfb70a7af905023281ce538af9c58da95582a2664","target":"record","created_at":"2026-07-05T01:13:23Z","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":"7098f19b1e7038e610d1d69a8e184c2f1fb316683f6ac38a103dd3f303cb3130","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2019-07-06T21:47:35Z","title_canon_sha256":"768cd7131f881c784bb577128fd53e72eb30603d69ff7bde8fe385fb2067de65"},"schema_version":"1.0","source":{"id":"1907.03193","kind":"arxiv","version":2}},"canonical_sha256":"87d996947ab8dcc5168590061bb426d0f83cde80fdd4498b46e652b40d1f947e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"87d996947ab8dcc5168590061bb426d0f83cde80fdd4498b46e652b40d1f947e","first_computed_at":"2026-07-05T01:13:23.209308Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:13:23.209308Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Rw5dFz90mEq8CxJs9jPK+uOIBPhv51U/0U+VfTxUq7nPgvpFcL0nb8lGsHzWLicK7fCqtEYq+G/gg4JkSFJ8Dg==","signature_status":"signed_v1","signed_at":"2026-07-05T01:13:23.209833Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.03193","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:54db4070f5c932e97294013dfb70a7af905023281ce538af9c58da95582a2664","sha256:4666e18e6911dd711554a2c8ba0974a68aff441058d8fba21865ae4eb47ec857"],"state_sha256":"adc3b70290c529e251f28eaef78d925ae0c893e8662f33cd0467ce800c23170c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d+ADScghzbMQx2HydgdUEotlUJJSS8BeEhE9h4xj/gUd4ifEb3zi0/Mm9CJEruQ2ye1YWMvmswXf11tbX4kgAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T14:08:03.751213Z","bundle_sha256":"6832e8fe8b5fc03b2e87cedcbc759a5e11df5c33be8dfa0c250b12e072360aad"}}