{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:XE44SC6UIRQF4WRH6MVKO6D74D","short_pith_number":"pith:XE44SC6U","canonical_record":{"source":{"id":"0707.4335","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2007-07-30T05:02:12Z","cross_cats_sorted":[],"title_canon_sha256":"341ee61c78c8666b048808f1cda337fb91e8758705f91cce0c69b60df70c8c86","abstract_canon_sha256":"490f4bd34c533ff093c702d91057bb0a93df6bcb5eb101b116b42891765d8a8b"},"schema_version":"1.0"},"canonical_sha256":"b939c90bd444605e5a27f32aa7787fe0d2761087d75046821d1874b08b874dc9","source":{"kind":"arxiv","id":"0707.4335","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0707.4335","created_at":"2026-07-04T15:09:28Z"},{"alias_kind":"arxiv_version","alias_value":"0707.4335v1","created_at":"2026-07-04T15:09:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0707.4335","created_at":"2026-07-04T15:09:28Z"},{"alias_kind":"pith_short_12","alias_value":"XE44SC6UIRQF","created_at":"2026-07-04T15:09:28Z"},{"alias_kind":"pith_short_16","alias_value":"XE44SC6UIRQF4WRH","created_at":"2026-07-04T15:09:28Z"},{"alias_kind":"pith_short_8","alias_value":"XE44SC6U","created_at":"2026-07-04T15:09:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:XE44SC6UIRQF4WRH6MVKO6D74D","target":"record","payload":{"canonical_record":{"source":{"id":"0707.4335","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2007-07-30T05:02:12Z","cross_cats_sorted":[],"title_canon_sha256":"341ee61c78c8666b048808f1cda337fb91e8758705f91cce0c69b60df70c8c86","abstract_canon_sha256":"490f4bd34c533ff093c702d91057bb0a93df6bcb5eb101b116b42891765d8a8b"},"schema_version":"1.0"},"canonical_sha256":"b939c90bd444605e5a27f32aa7787fe0d2761087d75046821d1874b08b874dc9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:09:28.213585Z","signature_b64":"pW6k8kfkPlyvl4H6kb14+yuSoE7Wv5OrTBKs6ycQhMrjZwGveL2cU1vE5ONkfx5rUg+T4fByvsWdHUTsh/VyBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b939c90bd444605e5a27f32aa7787fe0d2761087d75046821d1874b08b874dc9","last_reissued_at":"2026-07-04T15:09:28.213188Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:09:28.213188Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0707.4335","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:09:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PnkdkofKYzPBle1Hs2V2a7jXTLLQNDnSIGYf+uznAdxt5e0Fvge4husgLOsUYO+0yuEOHPYdNf70MseLOAZDDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T14:00:47.119566Z"},"content_sha256":"31f4df347450c4f9f7b95dfa9526f3a153b64ac8e5c572e5e77082b664b6738e","schema_version":"1.0","event_id":"sha256:31f4df347450c4f9f7b95dfa9526f3a153b64ac8e5c572e5e77082b664b6738e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:XE44SC6UIRQF4WRH6MVKO6D74D","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Strongly-correlated multi-particle transport in one-dimension through a quantum impurity: an outline of exact and complete solutions","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Jung-Tsung Shen, Shanhui Fan","submitted_at":"2007-07-30T05:02:12Z","abstract_excerpt":"We consider the transport properties of multiple-particle quantum states in a class of one-dimensional systems with a single quantum impurity. In these systems, the local interaction at the quantum impurity induces strong and non-trivial correlations between the multi-particles. We outline an exact theoretical approach, based upon real-space equations of motion and the Bethe ansatz, that allows one to construct the full scattering matrix (S-matrix) for these systems. In particular, we emphasize the need for completeness check upon the eigenstates of the S-matrix, when these states obtained fro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0707.4335","kind":"arxiv","version":1},"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/0707.4335/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":"2026-07-04T15:09:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vyzdtfw4Zwl04Fc/2DR7lUcueWBn4uURDjvRZylPdrs5arQR5tgyo7PmYI7nwKoiHcXsZh9Q0gxSAWCT/227BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T14:00:47.120079Z"},"content_sha256":"8872aac5c2c8f64a79e5c0de0b0c0710361c2bd9126e472e9625a90d9867cb40","schema_version":"1.0","event_id":"sha256:8872aac5c2c8f64a79e5c0de0b0c0710361c2bd9126e472e9625a90d9867cb40"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XE44SC6UIRQF4WRH6MVKO6D74D/bundle.json","state_url":"https://pith.science/pith/XE44SC6UIRQF4WRH6MVKO6D74D/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XE44SC6UIRQF4WRH6MVKO6D74D/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":"2026-08-08T14:00:47Z","links":{"resolver":"https://pith.science/pith/XE44SC6UIRQF4WRH6MVKO6D74D","bundle":"https://pith.science/pith/XE44SC6UIRQF4WRH6MVKO6D74D/bundle.json","state":"https://pith.science/pith/XE44SC6UIRQF4WRH6MVKO6D74D/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XE44SC6UIRQF4WRH6MVKO6D74D/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:XE44SC6UIRQF4WRH6MVKO6D74D","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":"490f4bd34c533ff093c702d91057bb0a93df6bcb5eb101b116b42891765d8a8b","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2007-07-30T05:02:12Z","title_canon_sha256":"341ee61c78c8666b048808f1cda337fb91e8758705f91cce0c69b60df70c8c86"},"schema_version":"1.0","source":{"id":"0707.4335","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0707.4335","created_at":"2026-07-04T15:09:28Z"},{"alias_kind":"arxiv_version","alias_value":"0707.4335v1","created_at":"2026-07-04T15:09:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0707.4335","created_at":"2026-07-04T15:09:28Z"},{"alias_kind":"pith_short_12","alias_value":"XE44SC6UIRQF","created_at":"2026-07-04T15:09:28Z"},{"alias_kind":"pith_short_16","alias_value":"XE44SC6UIRQF4WRH","created_at":"2026-07-04T15:09:28Z"},{"alias_kind":"pith_short_8","alias_value":"XE44SC6U","created_at":"2026-07-04T15:09:28Z"}],"graph_snapshots":[{"event_id":"sha256:8872aac5c2c8f64a79e5c0de0b0c0710361c2bd9126e472e9625a90d9867cb40","target":"graph","created_at":"2026-07-04T15:09:28Z","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/0707.4335/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the transport properties of multiple-particle quantum states in a class of one-dimensional systems with a single quantum impurity. In these systems, the local interaction at the quantum impurity induces strong and non-trivial correlations between the multi-particles. We outline an exact theoretical approach, based upon real-space equations of motion and the Bethe ansatz, that allows one to construct the full scattering matrix (S-matrix) for these systems. In particular, we emphasize the need for completeness check upon the eigenstates of the S-matrix, when these states obtained fro","authors_text":"Jung-Tsung Shen, Shanhui Fan","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2007-07-30T05:02:12Z","title":"Strongly-correlated multi-particle transport in one-dimension through a quantum impurity: an outline of exact and complete solutions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0707.4335","kind":"arxiv","version":1},"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":"sha256:31f4df347450c4f9f7b95dfa9526f3a153b64ac8e5c572e5e77082b664b6738e","target":"record","created_at":"2026-07-04T15:09:28Z","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":"490f4bd34c533ff093c702d91057bb0a93df6bcb5eb101b116b42891765d8a8b","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2007-07-30T05:02:12Z","title_canon_sha256":"341ee61c78c8666b048808f1cda337fb91e8758705f91cce0c69b60df70c8c86"},"schema_version":"1.0","source":{"id":"0707.4335","kind":"arxiv","version":1}},"canonical_sha256":"b939c90bd444605e5a27f32aa7787fe0d2761087d75046821d1874b08b874dc9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b939c90bd444605e5a27f32aa7787fe0d2761087d75046821d1874b08b874dc9","first_computed_at":"2026-07-04T15:09:28.213188Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:09:28.213188Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pW6k8kfkPlyvl4H6kb14+yuSoE7Wv5OrTBKs6ycQhMrjZwGveL2cU1vE5ONkfx5rUg+T4fByvsWdHUTsh/VyBw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:09:28.213585Z","signed_message":"canonical_sha256_bytes"},"source_id":"0707.4335","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:31f4df347450c4f9f7b95dfa9526f3a153b64ac8e5c572e5e77082b664b6738e","sha256:8872aac5c2c8f64a79e5c0de0b0c0710361c2bd9126e472e9625a90d9867cb40"],"state_sha256":"a557968429bf8d31fb03083d85c7e1ae2504dade8c46a11b5b671038ae1c0a50"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ffRQOMgFKdKWZuhSwPxYw/V4zR0UfQ6kGVVhrrqIySClWoHd0WZy870XVFqgk5KpQXsqnh8wnXECtF79vbSFBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T14:00:47.125757Z","bundle_sha256":"74d20eee079ea09246c66bda488f81b8c01e80389ba0cde81c350ee9ae1e1fc1"}}