{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:OLJVWFNQYZU3MHCX5ONNEJNN7Q","short_pith_number":"pith:OLJVWFNQ","canonical_record":{"source":{"id":"2003.00149","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2020-02-29T01:30:21Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"60e0e126028b89c082f3aa05743d576e1497e42ff4783ac59477e84efc390ec3","abstract_canon_sha256":"3aa6b48313221867416f571787edabd0ee5b414ce4126dc5a77c4b5745e0e826"},"schema_version":"1.0"},"canonical_sha256":"72d35b15b0c669b61c57eb9ad225adfc2bcecac2900a0d098432be5be89f0333","source":{"kind":"arxiv","id":"2003.00149","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2003.00149","created_at":"2026-07-05T03:33:37Z"},{"alias_kind":"arxiv_version","alias_value":"2003.00149v4","created_at":"2026-07-05T03:33:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.00149","created_at":"2026-07-05T03:33:37Z"},{"alias_kind":"pith_short_12","alias_value":"OLJVWFNQYZU3","created_at":"2026-07-05T03:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"OLJVWFNQYZU3MHCX","created_at":"2026-07-05T03:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"OLJVWFNQ","created_at":"2026-07-05T03:33:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:OLJVWFNQYZU3MHCX5ONNEJNN7Q","target":"record","payload":{"canonical_record":{"source":{"id":"2003.00149","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2020-02-29T01:30:21Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"60e0e126028b89c082f3aa05743d576e1497e42ff4783ac59477e84efc390ec3","abstract_canon_sha256":"3aa6b48313221867416f571787edabd0ee5b414ce4126dc5a77c4b5745e0e826"},"schema_version":"1.0"},"canonical_sha256":"72d35b15b0c669b61c57eb9ad225adfc2bcecac2900a0d098432be5be89f0333","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:33:37.230601Z","signature_b64":"VNBDnAUQKEO/qn2dqtZx7m2uiqXVmuWao1gbefOf2z8n4uopMJtrxk8a4DbpB8caVlCMdpODxeh2sE+RO9MtDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"72d35b15b0c669b61c57eb9ad225adfc2bcecac2900a0d098432be5be89f0333","last_reissued_at":"2026-07-05T03:33:37.230165Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:33:37.230165Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2003.00149","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T03:33:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Efj7r0jf3MmTofg/lQHYFalJV+/sNWiUUb8TbcLZC+H6gvXszTyZXxTpT6Gmug/0rnr2eeM8gxUd2KL6B8IbCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-28T04:02:33.374219Z"},"content_sha256":"818f22ba5778196daac590bea6d44669b3b261413998bbf117f0fb4e17e4e7c4","schema_version":"1.0","event_id":"sha256:818f22ba5778196daac590bea6d44669b3b261413998bbf117f0fb4e17e4e7c4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:OLJVWFNQYZU3MHCX5ONNEJNN7Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Anderson localisation in two dimensions: insights from Localisation Landscape Theory, exact diagonalisation, and time-dependent simulations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.quant-gas","authors_text":"Dylan J. Brown, Maarten D. Hoogerland, Sophie S. Shamailov, Thomas A. Haase","submitted_at":"2020-02-29T01:30:21Z","abstract_excerpt":"Motivated by experimental progress in cold atomic systems, we use and advance Localisation Landscape Theory (LLT), to examine two-dimensional systems with point-like random scatterers. We begin by showing that exact eigenstates cannot be efficiently used to extract the localisation length. We then provide a comprehensive review of known LLT, and confirm that the Hamiltonian with the effective potential of LLT has very similar low energy eigenstates to that with the physical potential. Next, we use LLT to compute the localisation length for very low-energy, maximally localised eigenstates and t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.00149","kind":"arxiv","version":4},"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/2003.00149/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":"2026-07-05T03:33:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jR6wiB8RYN1LFtpQ55UuRMD3A8h+tWRQjkv+9oyEc1cE03e5RW3jQl3sCfGB34ZYVEEBJzezfZNOXpj7Cq8vBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-28T04:02:33.374622Z"},"content_sha256":"17dcf0d86be5ab5ecdeeedb74e501498a133d202b1b92c97122e6650c3117687","schema_version":"1.0","event_id":"sha256:17dcf0d86be5ab5ecdeeedb74e501498a133d202b1b92c97122e6650c3117687"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OLJVWFNQYZU3MHCX5ONNEJNN7Q/bundle.json","state_url":"https://pith.science/pith/OLJVWFNQYZU3MHCX5ONNEJNN7Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OLJVWFNQYZU3MHCX5ONNEJNN7Q/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":"2026-07-28T04:02:33Z","links":{"resolver":"https://pith.science/pith/OLJVWFNQYZU3MHCX5ONNEJNN7Q","bundle":"https://pith.science/pith/OLJVWFNQYZU3MHCX5ONNEJNN7Q/bundle.json","state":"https://pith.science/pith/OLJVWFNQYZU3MHCX5ONNEJNN7Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OLJVWFNQYZU3MHCX5ONNEJNN7Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:OLJVWFNQYZU3MHCX5ONNEJNN7Q","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":"3aa6b48313221867416f571787edabd0ee5b414ce4126dc5a77c4b5745e0e826","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2020-02-29T01:30:21Z","title_canon_sha256":"60e0e126028b89c082f3aa05743d576e1497e42ff4783ac59477e84efc390ec3"},"schema_version":"1.0","source":{"id":"2003.00149","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2003.00149","created_at":"2026-07-05T03:33:37Z"},{"alias_kind":"arxiv_version","alias_value":"2003.00149v4","created_at":"2026-07-05T03:33:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.00149","created_at":"2026-07-05T03:33:37Z"},{"alias_kind":"pith_short_12","alias_value":"OLJVWFNQYZU3","created_at":"2026-07-05T03:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"OLJVWFNQYZU3MHCX","created_at":"2026-07-05T03:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"OLJVWFNQ","created_at":"2026-07-05T03:33:37Z"}],"graph_snapshots":[{"event_id":"sha256:17dcf0d86be5ab5ecdeeedb74e501498a133d202b1b92c97122e6650c3117687","target":"graph","created_at":"2026-07-05T03:33:37Z","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/2003.00149/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Motivated by experimental progress in cold atomic systems, we use and advance Localisation Landscape Theory (LLT), to examine two-dimensional systems with point-like random scatterers. We begin by showing that exact eigenstates cannot be efficiently used to extract the localisation length. We then provide a comprehensive review of known LLT, and confirm that the Hamiltonian with the effective potential of LLT has very similar low energy eigenstates to that with the physical potential. Next, we use LLT to compute the localisation length for very low-energy, maximally localised eigenstates and t","authors_text":"Dylan J. Brown, Maarten D. Hoogerland, Sophie S. Shamailov, Thomas A. Haase","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2020-02-29T01:30:21Z","title":"Anderson localisation in two dimensions: insights from Localisation Landscape Theory, exact diagonalisation, and time-dependent simulations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.00149","kind":"arxiv","version":4},"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":"sha256:818f22ba5778196daac590bea6d44669b3b261413998bbf117f0fb4e17e4e7c4","target":"record","created_at":"2026-07-05T03:33:37Z","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":"3aa6b48313221867416f571787edabd0ee5b414ce4126dc5a77c4b5745e0e826","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2020-02-29T01:30:21Z","title_canon_sha256":"60e0e126028b89c082f3aa05743d576e1497e42ff4783ac59477e84efc390ec3"},"schema_version":"1.0","source":{"id":"2003.00149","kind":"arxiv","version":4}},"canonical_sha256":"72d35b15b0c669b61c57eb9ad225adfc2bcecac2900a0d098432be5be89f0333","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"72d35b15b0c669b61c57eb9ad225adfc2bcecac2900a0d098432be5be89f0333","first_computed_at":"2026-07-05T03:33:37.230165Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:33:37.230165Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VNBDnAUQKEO/qn2dqtZx7m2uiqXVmuWao1gbefOf2z8n4uopMJtrxk8a4DbpB8caVlCMdpODxeh2sE+RO9MtDg==","signature_status":"signed_v1","signed_at":"2026-07-05T03:33:37.230601Z","signed_message":"canonical_sha256_bytes"},"source_id":"2003.00149","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:818f22ba5778196daac590bea6d44669b3b261413998bbf117f0fb4e17e4e7c4","sha256:17dcf0d86be5ab5ecdeeedb74e501498a133d202b1b92c97122e6650c3117687"],"state_sha256":"d71d3d93f6b33cce5bcd890feb9d3c6d257ce355dec0eadbab4d246dc4da0350"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wfwTseyKYAHRoiJINJ2YknL012oO+dwdaDyQnyC4uEW0Jul8V0rnudybZh3eI/FUTj8H3RrvZnwXnPmba4VXDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-28T04:02:33.377156Z","bundle_sha256":"ea110325a8eb0e484ee00e2ab078be60bbb57928750e784c4b037792c5f00c0d"}}