{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:ZC67LYWDICHREVTNX6GHOWDPXI","short_pith_number":"pith:ZC67LYWD","canonical_record":{"source":{"id":"1503.07019","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2015-03-24T12:51:55Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"2f03a048fcb5f03f74f3825a65d9d2aeece4185d03fd431e5a7dc254e171bab9","abstract_canon_sha256":"392cd38e34d77ad001461bcd2c0815ddbeff611c59b2b5fabf4216f1db23ca7e"},"schema_version":"1.0"},"canonical_sha256":"c8bdf5e2c3408f12566dbf8c77586fba23a17d619e2e6d6842524e2138849576","source":{"kind":"arxiv","id":"1503.07019","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.07019","created_at":"2026-05-18T01:18:47Z"},{"alias_kind":"arxiv_version","alias_value":"1503.07019v3","created_at":"2026-05-18T01:18:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.07019","created_at":"2026-05-18T01:18:47Z"},{"alias_kind":"pith_short_12","alias_value":"ZC67LYWDICHR","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZC67LYWDICHREVTN","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZC67LYWD","created_at":"2026-05-18T12:29:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:ZC67LYWDICHREVTNX6GHOWDPXI","target":"record","payload":{"canonical_record":{"source":{"id":"1503.07019","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2015-03-24T12:51:55Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"2f03a048fcb5f03f74f3825a65d9d2aeece4185d03fd431e5a7dc254e171bab9","abstract_canon_sha256":"392cd38e34d77ad001461bcd2c0815ddbeff611c59b2b5fabf4216f1db23ca7e"},"schema_version":"1.0"},"canonical_sha256":"c8bdf5e2c3408f12566dbf8c77586fba23a17d619e2e6d6842524e2138849576","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:47.485619Z","signature_b64":"ByYgEc/V19xEshUBr85BSebcgBipeDcLF/2lVE+bvqs4BQ3ShUSHYerPeQxrCIMO/r0D3qS+mhvxpWwWh4oWAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c8bdf5e2c3408f12566dbf8c77586fba23a17d619e2e6d6842524e2138849576","last_reissued_at":"2026-05-18T01:18:47.484951Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:47.484951Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.07019","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:18:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rxMMUeM3wGMGffY5BVbaWrpd7qAZIGY2R6Bd6Ob4/6Y+Q/1SCOPzQMxWIazrTyaIVRMMtMJ/yzOEFmsaXzDLDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T22:42:30.778065Z"},"content_sha256":"4e1f4e794fb0a01d84837e0cdbf8b4e3295562b1b3c4847df3402dc8e9a65a35","schema_version":"1.0","event_id":"sha256:4e1f4e794fb0a01d84837e0cdbf8b4e3295562b1b3c4847df3402dc8e9a65a35"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:ZC67LYWDICHREVTNX6GHOWDPXI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Integrals of motion for one-dimensional Anderson localized systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"B. Sriram Shastry, Emil A. Yuzbashyan, Ranjan Modak, Subroto Mukerjee","submitted_at":"2015-03-24T12:51:55Z","abstract_excerpt":"Anderson localization is known to be inevitable in one dimension for generic disordered models. Since localization leads to Poissonian energy level statistics, we ask if localized systems possess \"additional\" integrals of motion as well, so as to enhance the analogy with quantum integrable systems. We answer this in the affirmative in the present work. We construct a set of nontrivial integrals of motion for Anderson localized models, in terms of the original creation and annihilation operators. These are found as a power series in the hopping parameter. The recently found Type-1 Hamiltonians,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.07019","kind":"arxiv","version":3},"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":"2026-05-18T01:18:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CxEUxjHsjJEoPStLIgrFfBeqKVNy67r38JkT1eWqLfKW+TYDvM/X2sWpwEbn2tbj0I5rjTgTg1y5LHQiYg/+DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T22:42:30.778835Z"},"content_sha256":"8c6cb68fe5a6fcdf3128d78a4c227d96ccf0fa61262d2f0129c097fa4fe41d3e","schema_version":"1.0","event_id":"sha256:8c6cb68fe5a6fcdf3128d78a4c227d96ccf0fa61262d2f0129c097fa4fe41d3e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZC67LYWDICHREVTNX6GHOWDPXI/bundle.json","state_url":"https://pith.science/pith/ZC67LYWDICHREVTNX6GHOWDPXI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZC67LYWDICHREVTNX6GHOWDPXI/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":"2026-06-11T22:42:30Z","links":{"resolver":"https://pith.science/pith/ZC67LYWDICHREVTNX6GHOWDPXI","bundle":"https://pith.science/pith/ZC67LYWDICHREVTNX6GHOWDPXI/bundle.json","state":"https://pith.science/pith/ZC67LYWDICHREVTNX6GHOWDPXI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZC67LYWDICHREVTNX6GHOWDPXI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ZC67LYWDICHREVTNX6GHOWDPXI","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":"392cd38e34d77ad001461bcd2c0815ddbeff611c59b2b5fabf4216f1db23ca7e","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2015-03-24T12:51:55Z","title_canon_sha256":"2f03a048fcb5f03f74f3825a65d9d2aeece4185d03fd431e5a7dc254e171bab9"},"schema_version":"1.0","source":{"id":"1503.07019","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.07019","created_at":"2026-05-18T01:18:47Z"},{"alias_kind":"arxiv_version","alias_value":"1503.07019v3","created_at":"2026-05-18T01:18:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.07019","created_at":"2026-05-18T01:18:47Z"},{"alias_kind":"pith_short_12","alias_value":"ZC67LYWDICHR","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZC67LYWDICHREVTN","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZC67LYWD","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:8c6cb68fe5a6fcdf3128d78a4c227d96ccf0fa61262d2f0129c097fa4fe41d3e","target":"graph","created_at":"2026-05-18T01:18:47Z","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":"Anderson localization is known to be inevitable in one dimension for generic disordered models. Since localization leads to Poissonian energy level statistics, we ask if localized systems possess \"additional\" integrals of motion as well, so as to enhance the analogy with quantum integrable systems. We answer this in the affirmative in the present work. We construct a set of nontrivial integrals of motion for Anderson localized models, in terms of the original creation and annihilation operators. These are found as a power series in the hopping parameter. The recently found Type-1 Hamiltonians,","authors_text":"B. Sriram Shastry, Emil A. Yuzbashyan, Ranjan Modak, Subroto Mukerjee","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2015-03-24T12:51:55Z","title":"Integrals of motion for one-dimensional Anderson localized systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.07019","kind":"arxiv","version":3},"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":"sha256:4e1f4e794fb0a01d84837e0cdbf8b4e3295562b1b3c4847df3402dc8e9a65a35","target":"record","created_at":"2026-05-18T01:18:47Z","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":"392cd38e34d77ad001461bcd2c0815ddbeff611c59b2b5fabf4216f1db23ca7e","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2015-03-24T12:51:55Z","title_canon_sha256":"2f03a048fcb5f03f74f3825a65d9d2aeece4185d03fd431e5a7dc254e171bab9"},"schema_version":"1.0","source":{"id":"1503.07019","kind":"arxiv","version":3}},"canonical_sha256":"c8bdf5e2c3408f12566dbf8c77586fba23a17d619e2e6d6842524e2138849576","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c8bdf5e2c3408f12566dbf8c77586fba23a17d619e2e6d6842524e2138849576","first_computed_at":"2026-05-18T01:18:47.484951Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:47.484951Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ByYgEc/V19xEshUBr85BSebcgBipeDcLF/2lVE+bvqs4BQ3ShUSHYerPeQxrCIMO/r0D3qS+mhvxpWwWh4oWAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:47.485619Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.07019","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4e1f4e794fb0a01d84837e0cdbf8b4e3295562b1b3c4847df3402dc8e9a65a35","sha256:8c6cb68fe5a6fcdf3128d78a4c227d96ccf0fa61262d2f0129c097fa4fe41d3e"],"state_sha256":"feca430114eb47b983f7fbefdd27050fe22c8ac96379e644ed31326c72365605"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rmL28v+gnNqHni4OPYMTpnbE7+JWhtB8zu1N+tt3bZ4KdkZWi3YZQz498CP2J4kOdh+FLEXI2LtPT62yv+nfBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T22:42:30.782945Z","bundle_sha256":"35be7bc2e774a3e52b32a6ccaf53320ca592053fecf5c31275a356ef57052cec"}}