{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:JDHGGY572TA5NJPFRXGFE66RDV","short_pith_number":"pith:JDHGGY57","canonical_record":{"source":{"id":"1005.3387","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-05-19T09:15:17Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"812f3b52f3ede2a7547097d3532ea2299533c5db9af117d349d3989b411c0ef1","abstract_canon_sha256":"4be75cb787606932e6228daa55429c8cf4771490462d4ee42f1f29ced4b4289e"},"schema_version":"1.0"},"canonical_sha256":"48ce6363bfd4c1d6a5e58dcc527bd11d74d789ec0850456f18e9b2bd47033017","source":{"kind":"arxiv","id":"1005.3387","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.3387","created_at":"2026-05-18T02:52:40Z"},{"alias_kind":"arxiv_version","alias_value":"1005.3387v4","created_at":"2026-05-18T02:52:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.3387","created_at":"2026-05-18T02:52:40Z"},{"alias_kind":"pith_short_12","alias_value":"JDHGGY572TA5","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"JDHGGY572TA5NJPF","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"JDHGGY57","created_at":"2026-05-18T12:26:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:JDHGGY572TA5NJPFRXGFE66RDV","target":"record","payload":{"canonical_record":{"source":{"id":"1005.3387","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-05-19T09:15:17Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"812f3b52f3ede2a7547097d3532ea2299533c5db9af117d349d3989b411c0ef1","abstract_canon_sha256":"4be75cb787606932e6228daa55429c8cf4771490462d4ee42f1f29ced4b4289e"},"schema_version":"1.0"},"canonical_sha256":"48ce6363bfd4c1d6a5e58dcc527bd11d74d789ec0850456f18e9b2bd47033017","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:52:40.203578Z","signature_b64":"YoFD2cruZXC+OtuUvLwestqltaJ2s7oYWF/4RWid1B9sa7I39EV4dzjmmUuaGOdCQT0+4HbKeedfr6CK8T6kDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"48ce6363bfd4c1d6a5e58dcc527bd11d74d789ec0850456f18e9b2bd47033017","last_reissued_at":"2026-05-18T02:52:40.203143Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:52:40.203143Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1005.3387","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":"2026-05-18T02:52:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TgEDcY7I5A2xWlXN3+YyWtxINfItYVDkT0cOIlkap6eJLBhV3BOgX5O9vG5DnBAqOEKR0gTZ/cxAcToMlpfGBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T02:24:01.409354Z"},"content_sha256":"fc7189f87db3681180b3f796998d261ab02cfd15cf6e96827c1b4b1ba85fc5ce","schema_version":"1.0","event_id":"sha256:fc7189f87db3681180b3f796998d261ab02cfd15cf6e96827c1b4b1ba85fc5ce"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:JDHGGY572TA5NJPFRXGFE66RDV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A remark on charge transfer processes in multi-particle systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Victor Chulaevsky","submitted_at":"2010-05-19T09:15:17Z","abstract_excerpt":"We assess the probability of resonances between sufficiently distant states in a combinatorial graph serving as the configuration space of an N-particle disordered quantum system. This includes the cases where the transition \"shuffles\" the particles in the configurations. In presence of a random external potential V, such pairs of configurations give rise to local (random) Hamiltonians which are strongly coupled, so that eigenvalue (or eigenfunction) correlator bounds are difficult to obtain. This difficulty, which occurs for three or more particles, results in eigenfunction decay bounds weake"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.3387","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":""},"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":"2026-05-18T02:52:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bu8bKLI8rKs8AV9EywY0G7g9hYJsj7SDO8Pj6LorxoZvYMxUpxOoSUWNfRIZ0dp90TqZSwR/5YRY/72HUyuQAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T02:24:01.409690Z"},"content_sha256":"fa7416ece9de29b9047d59fae4876a66e5a28dc4cd708e5e1ac1746c568f347d","schema_version":"1.0","event_id":"sha256:fa7416ece9de29b9047d59fae4876a66e5a28dc4cd708e5e1ac1746c568f347d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JDHGGY572TA5NJPFRXGFE66RDV/bundle.json","state_url":"https://pith.science/pith/JDHGGY572TA5NJPFRXGFE66RDV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JDHGGY572TA5NJPFRXGFE66RDV/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":"2026-06-27T02:24:01Z","links":{"resolver":"https://pith.science/pith/JDHGGY572TA5NJPFRXGFE66RDV","bundle":"https://pith.science/pith/JDHGGY572TA5NJPFRXGFE66RDV/bundle.json","state":"https://pith.science/pith/JDHGGY572TA5NJPFRXGFE66RDV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JDHGGY572TA5NJPFRXGFE66RDV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:JDHGGY572TA5NJPFRXGFE66RDV","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":"4be75cb787606932e6228daa55429c8cf4771490462d4ee42f1f29ced4b4289e","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-05-19T09:15:17Z","title_canon_sha256":"812f3b52f3ede2a7547097d3532ea2299533c5db9af117d349d3989b411c0ef1"},"schema_version":"1.0","source":{"id":"1005.3387","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.3387","created_at":"2026-05-18T02:52:40Z"},{"alias_kind":"arxiv_version","alias_value":"1005.3387v4","created_at":"2026-05-18T02:52:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.3387","created_at":"2026-05-18T02:52:40Z"},{"alias_kind":"pith_short_12","alias_value":"JDHGGY572TA5","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"JDHGGY572TA5NJPF","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"JDHGGY57","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:fa7416ece9de29b9047d59fae4876a66e5a28dc4cd708e5e1ac1746c568f347d","target":"graph","created_at":"2026-05-18T02:52:40Z","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 assess the probability of resonances between sufficiently distant states in a combinatorial graph serving as the configuration space of an N-particle disordered quantum system. This includes the cases where the transition \"shuffles\" the particles in the configurations. In presence of a random external potential V, such pairs of configurations give rise to local (random) Hamiltonians which are strongly coupled, so that eigenvalue (or eigenfunction) correlator bounds are difficult to obtain. This difficulty, which occurs for three or more particles, results in eigenfunction decay bounds weake","authors_text":"Victor Chulaevsky","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-05-19T09:15:17Z","title":"A remark on charge transfer processes in multi-particle systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.3387","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:fc7189f87db3681180b3f796998d261ab02cfd15cf6e96827c1b4b1ba85fc5ce","target":"record","created_at":"2026-05-18T02:52:40Z","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":"4be75cb787606932e6228daa55429c8cf4771490462d4ee42f1f29ced4b4289e","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-05-19T09:15:17Z","title_canon_sha256":"812f3b52f3ede2a7547097d3532ea2299533c5db9af117d349d3989b411c0ef1"},"schema_version":"1.0","source":{"id":"1005.3387","kind":"arxiv","version":4}},"canonical_sha256":"48ce6363bfd4c1d6a5e58dcc527bd11d74d789ec0850456f18e9b2bd47033017","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"48ce6363bfd4c1d6a5e58dcc527bd11d74d789ec0850456f18e9b2bd47033017","first_computed_at":"2026-05-18T02:52:40.203143Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:52:40.203143Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YoFD2cruZXC+OtuUvLwestqltaJ2s7oYWF/4RWid1B9sa7I39EV4dzjmmUuaGOdCQT0+4HbKeedfr6CK8T6kDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:52:40.203578Z","signed_message":"canonical_sha256_bytes"},"source_id":"1005.3387","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fc7189f87db3681180b3f796998d261ab02cfd15cf6e96827c1b4b1ba85fc5ce","sha256:fa7416ece9de29b9047d59fae4876a66e5a28dc4cd708e5e1ac1746c568f347d"],"state_sha256":"3a457e2d29570d9e107a3a03e07f5c5428a6863341c1ea40abaff2fe002fe631"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0fhQphAO5BTDiYVflY3ACv6kpaA359YrPiHOzl0C/C7IPIeG/lqsPr7V8nZLdD+xgFLFlvER2WGy9xj/rcbNCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T02:24:01.411471Z","bundle_sha256":"98361dc6e8478f2d8897ca16308412a047dbcc2a6db9a3a871069c0bb5c7c134"}}