{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:IXPRGQLCURM6SABWH4FU6F7ICO","short_pith_number":"pith:IXPRGQLC","canonical_record":{"source":{"id":"1111.3619","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-11-15T19:43:42Z","cross_cats_sorted":[],"title_canon_sha256":"d4d941c6812fbcf2643e96142ac2e1e1d72213184407db15cb6dcf771ba19648","abstract_canon_sha256":"818e1fb31a38accf96a1577b8e2965c90698e22bed22bce9d7cfcd3ca8d556dd"},"schema_version":"1.0"},"canonical_sha256":"45df134162a459e900363f0b4f17e813807fef3ce247725690d7fbe19515c45e","source":{"kind":"arxiv","id":"1111.3619","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.3619","created_at":"2026-05-18T03:55:01Z"},{"alias_kind":"arxiv_version","alias_value":"1111.3619v2","created_at":"2026-05-18T03:55:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.3619","created_at":"2026-05-18T03:55:01Z"},{"alias_kind":"pith_short_12","alias_value":"IXPRGQLCURM6","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"IXPRGQLCURM6SABW","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"IXPRGQLC","created_at":"2026-05-18T12:26:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:IXPRGQLCURM6SABWH4FU6F7ICO","target":"record","payload":{"canonical_record":{"source":{"id":"1111.3619","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-11-15T19:43:42Z","cross_cats_sorted":[],"title_canon_sha256":"d4d941c6812fbcf2643e96142ac2e1e1d72213184407db15cb6dcf771ba19648","abstract_canon_sha256":"818e1fb31a38accf96a1577b8e2965c90698e22bed22bce9d7cfcd3ca8d556dd"},"schema_version":"1.0"},"canonical_sha256":"45df134162a459e900363f0b4f17e813807fef3ce247725690d7fbe19515c45e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:55:01.598141Z","signature_b64":"DY673KGgqX1bNDCiJWM6WdLBun3jPOrrYPJoN2mlvOAWXISIFpMzuMO0Qqfaer86I9iss6YDCZmkAB7ocBvpDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"45df134162a459e900363f0b4f17e813807fef3ce247725690d7fbe19515c45e","last_reissued_at":"2026-05-18T03:55:01.597349Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:55:01.597349Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.3619","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":"2026-05-18T03:55:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RDvIpf8Kbu/QCXBgGkoar/xN4MXkIcCR8OWjmX4YaBDfNX5/+SrmlpLYrarRHyNruM5yUQx+RuS1Iia9Fj8MCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T02:30:44.710132Z"},"content_sha256":"29f93482d4543eba609c4355ca38c1ea5eb1ee496f86d10c18a139e06ee2a35b","schema_version":"1.0","event_id":"sha256:29f93482d4543eba609c4355ca38c1ea5eb1ee496f86d10c18a139e06ee2a35b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:IXPRGQLCURM6SABWH4FU6F7ICO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Statistics of Resonances in a One-Dimensional Chain: a Weak Disorder Limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"Vinayak","submitted_at":"2011-11-15T19:43:42Z","abstract_excerpt":"We study statistics of resonances in a one-dimensional disordered chain coupled to an outer world simulated by a perfect lead. We consider a limiting case for weak disorder and derive some results which are new in these studies. The main focus of the present study is to describe statistics of the scattered complex energies. We derive compact analytic statistical results for long chains. A comparison of these results has been found to be in good agreement with numerical simulations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.3619","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":"2026-05-18T03:55:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lEJRjjiaEj8JSo3V9pKG6d5bzt5leyQZUP/S8De6BSxrScyY1JjbY1HcILeEKDn+gGlofbqgU22NyYV7rbfRDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T02:30:44.710483Z"},"content_sha256":"bf43d3a838442ccc98af9335bf6d315e61c35f44de119109c3f47ac0140d4c0a","schema_version":"1.0","event_id":"sha256:bf43d3a838442ccc98af9335bf6d315e61c35f44de119109c3f47ac0140d4c0a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IXPRGQLCURM6SABWH4FU6F7ICO/bundle.json","state_url":"https://pith.science/pith/IXPRGQLCURM6SABWH4FU6F7ICO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IXPRGQLCURM6SABWH4FU6F7ICO/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":"2026-06-27T02:30:44Z","links":{"resolver":"https://pith.science/pith/IXPRGQLCURM6SABWH4FU6F7ICO","bundle":"https://pith.science/pith/IXPRGQLCURM6SABWH4FU6F7ICO/bundle.json","state":"https://pith.science/pith/IXPRGQLCURM6SABWH4FU6F7ICO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IXPRGQLCURM6SABWH4FU6F7ICO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:IXPRGQLCURM6SABWH4FU6F7ICO","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":"818e1fb31a38accf96a1577b8e2965c90698e22bed22bce9d7cfcd3ca8d556dd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-11-15T19:43:42Z","title_canon_sha256":"d4d941c6812fbcf2643e96142ac2e1e1d72213184407db15cb6dcf771ba19648"},"schema_version":"1.0","source":{"id":"1111.3619","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.3619","created_at":"2026-05-18T03:55:01Z"},{"alias_kind":"arxiv_version","alias_value":"1111.3619v2","created_at":"2026-05-18T03:55:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.3619","created_at":"2026-05-18T03:55:01Z"},{"alias_kind":"pith_short_12","alias_value":"IXPRGQLCURM6","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"IXPRGQLCURM6SABW","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"IXPRGQLC","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:bf43d3a838442ccc98af9335bf6d315e61c35f44de119109c3f47ac0140d4c0a","target":"graph","created_at":"2026-05-18T03:55:01Z","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":"We study statistics of resonances in a one-dimensional disordered chain coupled to an outer world simulated by a perfect lead. We consider a limiting case for weak disorder and derive some results which are new in these studies. The main focus of the present study is to describe statistics of the scattered complex energies. We derive compact analytic statistical results for long chains. A comparison of these results has been found to be in good agreement with numerical simulations.","authors_text":"Vinayak","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-11-15T19:43:42Z","title":"Statistics of Resonances in a One-Dimensional Chain: a Weak Disorder Limit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.3619","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":"sha256:29f93482d4543eba609c4355ca38c1ea5eb1ee496f86d10c18a139e06ee2a35b","target":"record","created_at":"2026-05-18T03:55:01Z","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":"818e1fb31a38accf96a1577b8e2965c90698e22bed22bce9d7cfcd3ca8d556dd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-11-15T19:43:42Z","title_canon_sha256":"d4d941c6812fbcf2643e96142ac2e1e1d72213184407db15cb6dcf771ba19648"},"schema_version":"1.0","source":{"id":"1111.3619","kind":"arxiv","version":2}},"canonical_sha256":"45df134162a459e900363f0b4f17e813807fef3ce247725690d7fbe19515c45e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"45df134162a459e900363f0b4f17e813807fef3ce247725690d7fbe19515c45e","first_computed_at":"2026-05-18T03:55:01.597349Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:55:01.597349Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DY673KGgqX1bNDCiJWM6WdLBun3jPOrrYPJoN2mlvOAWXISIFpMzuMO0Qqfaer86I9iss6YDCZmkAB7ocBvpDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:55:01.598141Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.3619","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:29f93482d4543eba609c4355ca38c1ea5eb1ee496f86d10c18a139e06ee2a35b","sha256:bf43d3a838442ccc98af9335bf6d315e61c35f44de119109c3f47ac0140d4c0a"],"state_sha256":"5ab92a67737c7c8fe610f8a6e473d450c068494ba96f6dca68d9d87e0ecc4a38"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xfO2UFWRaPVtP3kYUDscyverJh11Fzat6gutXOmneAVEBPTReJIqHqPvGaFX74QENtAieEo353h+AJmxWZPECQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T02:30:44.712322Z","bundle_sha256":"cef6a3423432f966cd81f5c039c3af9520c68f95f3f478069e6f2863bf714770"}}