{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:72XDJ3FA6T4NC4C4FXMT4LLTE7","short_pith_number":"pith:72XDJ3FA","canonical_record":{"source":{"id":"nlin/0106036","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nlin.CD","submitted_at":"2001-06-25T09:12:00Z","cross_cats_sorted":["cond-mat","nucl-th","quant-ph"],"title_canon_sha256":"7001661ce2f02d1abd23d388fc3370cb58213de63871b1f17d3d42cbb453dcb9","abstract_canon_sha256":"c7cd1d075c870df8f139eefc7544590cab93d954623d6f17d7e4efb2d5b3cafa"},"schema_version":"1.0"},"canonical_sha256":"feae34eca0f4f8d1705c2dd93e2d7327e37f15c13174b9003658758126f908fa","source":{"kind":"arxiv","id":"nlin/0106036","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0106036","created_at":"2026-05-18T02:46:22Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0106036v1","created_at":"2026-05-18T02:46:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0106036","created_at":"2026-05-18T02:46:22Z"},{"alias_kind":"pith_short_12","alias_value":"72XDJ3FA6T4N","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"72XDJ3FA6T4NC4C4","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"72XDJ3FA","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:72XDJ3FA6T4NC4C4FXMT4LLTE7","target":"record","payload":{"canonical_record":{"source":{"id":"nlin/0106036","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nlin.CD","submitted_at":"2001-06-25T09:12:00Z","cross_cats_sorted":["cond-mat","nucl-th","quant-ph"],"title_canon_sha256":"7001661ce2f02d1abd23d388fc3370cb58213de63871b1f17d3d42cbb453dcb9","abstract_canon_sha256":"c7cd1d075c870df8f139eefc7544590cab93d954623d6f17d7e4efb2d5b3cafa"},"schema_version":"1.0"},"canonical_sha256":"feae34eca0f4f8d1705c2dd93e2d7327e37f15c13174b9003658758126f908fa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:46:22.975484Z","signature_b64":"4FVGT8xfEJ8EoyB8/CevPy7TiD2sZdBDaI2m6k+JS6KjdCVHu0WP/P2rHOw5iVqdSxNjHnRRLqcmD/c8Y1muDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"feae34eca0f4f8d1705c2dd93e2d7327e37f15c13174b9003658758126f908fa","last_reissued_at":"2026-05-18T02:46:22.975024Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:46:22.975024Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"nlin/0106036","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":"2026-05-18T02:46:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"42OIZkjfv97pwcWciBm1DdiGTcGCBiFBF+BTWsso9K5CbcMDlq2EaLkwUzncHU5kEKvqGE9nnGVCo/Ig0tWkDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T11:26:46.148679Z"},"content_sha256":"076550ba2898e84330d30f497314d696cad6f3389b693b1fbc7d605315778d56","schema_version":"1.0","event_id":"sha256:076550ba2898e84330d30f497314d696cad6f3389b693b1fbc7d605315778d56"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:72XDJ3FA6T4NC4C4FXMT4LLTE7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A semiquantal approach to finite systems of interacting particles","license":"","headline":"","cross_cats":["cond-mat","nucl-th","quant-ph"],"primary_cat":"nlin.CD","authors_text":"F.Borgonovi, F.M.Izrailev, G.Casati, G.Celardo","submitted_at":"2001-06-25T09:12:00Z","abstract_excerpt":"A novel approach is suggested for the statistical description of quantum systems of interacting particles. The key point of this approach is that a typical eigenstate in the energy representation (shape of eigenstates, SE) has a well defined classical analog which can be easily obtained from the classical equations of motion. Therefore, the occupation numbers for single-particle states can be represented as a convolution of the classical SE with the quantum occupation number operator for non-interacting particles. The latter takes into account the wavefunctions symmetry and depends on the unpe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0106036","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":""},"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":"2026-05-18T02:46:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qlWHMu5nYu6+dU8A/UmfqTWclaK7AFb+j4HCryfOI0LnKQ8VEr+KlUeIOcGXgmHKmhXGOV73ZszOW6MZpC/yBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T11:26:46.149232Z"},"content_sha256":"ab006ee40ad614cc649da1392be7817db2d8a253d1d49f113580907a59cbc4b0","schema_version":"1.0","event_id":"sha256:ab006ee40ad614cc649da1392be7817db2d8a253d1d49f113580907a59cbc4b0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/72XDJ3FA6T4NC4C4FXMT4LLTE7/bundle.json","state_url":"https://pith.science/pith/72XDJ3FA6T4NC4C4FXMT4LLTE7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/72XDJ3FA6T4NC4C4FXMT4LLTE7/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":"2026-05-31T11:26:46Z","links":{"resolver":"https://pith.science/pith/72XDJ3FA6T4NC4C4FXMT4LLTE7","bundle":"https://pith.science/pith/72XDJ3FA6T4NC4C4FXMT4LLTE7/bundle.json","state":"https://pith.science/pith/72XDJ3FA6T4NC4C4FXMT4LLTE7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/72XDJ3FA6T4NC4C4FXMT4LLTE7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:72XDJ3FA6T4NC4C4FXMT4LLTE7","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":"c7cd1d075c870df8f139eefc7544590cab93d954623d6f17d7e4efb2d5b3cafa","cross_cats_sorted":["cond-mat","nucl-th","quant-ph"],"license":"","primary_cat":"nlin.CD","submitted_at":"2001-06-25T09:12:00Z","title_canon_sha256":"7001661ce2f02d1abd23d388fc3370cb58213de63871b1f17d3d42cbb453dcb9"},"schema_version":"1.0","source":{"id":"nlin/0106036","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0106036","created_at":"2026-05-18T02:46:22Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0106036v1","created_at":"2026-05-18T02:46:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0106036","created_at":"2026-05-18T02:46:22Z"},{"alias_kind":"pith_short_12","alias_value":"72XDJ3FA6T4N","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"72XDJ3FA6T4NC4C4","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"72XDJ3FA","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:ab006ee40ad614cc649da1392be7817db2d8a253d1d49f113580907a59cbc4b0","target":"graph","created_at":"2026-05-18T02:46:22Z","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":"A novel approach is suggested for the statistical description of quantum systems of interacting particles. The key point of this approach is that a typical eigenstate in the energy representation (shape of eigenstates, SE) has a well defined classical analog which can be easily obtained from the classical equations of motion. Therefore, the occupation numbers for single-particle states can be represented as a convolution of the classical SE with the quantum occupation number operator for non-interacting particles. The latter takes into account the wavefunctions symmetry and depends on the unpe","authors_text":"F.Borgonovi, F.M.Izrailev, G.Casati, G.Celardo","cross_cats":["cond-mat","nucl-th","quant-ph"],"headline":"","license":"","primary_cat":"nlin.CD","submitted_at":"2001-06-25T09:12:00Z","title":"A semiquantal approach to finite systems of interacting particles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0106036","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":"sha256:076550ba2898e84330d30f497314d696cad6f3389b693b1fbc7d605315778d56","target":"record","created_at":"2026-05-18T02:46:22Z","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":"c7cd1d075c870df8f139eefc7544590cab93d954623d6f17d7e4efb2d5b3cafa","cross_cats_sorted":["cond-mat","nucl-th","quant-ph"],"license":"","primary_cat":"nlin.CD","submitted_at":"2001-06-25T09:12:00Z","title_canon_sha256":"7001661ce2f02d1abd23d388fc3370cb58213de63871b1f17d3d42cbb453dcb9"},"schema_version":"1.0","source":{"id":"nlin/0106036","kind":"arxiv","version":1}},"canonical_sha256":"feae34eca0f4f8d1705c2dd93e2d7327e37f15c13174b9003658758126f908fa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"feae34eca0f4f8d1705c2dd93e2d7327e37f15c13174b9003658758126f908fa","first_computed_at":"2026-05-18T02:46:22.975024Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:46:22.975024Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4FVGT8xfEJ8EoyB8/CevPy7TiD2sZdBDaI2m6k+JS6KjdCVHu0WP/P2rHOw5iVqdSxNjHnRRLqcmD/c8Y1muDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:46:22.975484Z","signed_message":"canonical_sha256_bytes"},"source_id":"nlin/0106036","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:076550ba2898e84330d30f497314d696cad6f3389b693b1fbc7d605315778d56","sha256:ab006ee40ad614cc649da1392be7817db2d8a253d1d49f113580907a59cbc4b0"],"state_sha256":"9ad19e86ed47aed17d67a55caeb9a20efba5bdcd44aac04e33e0007a1187146c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DG1hK+VQ9duoYtXSbefZc+1mxCvhNxoglnhikTTK8ijFuJ/vFk4qyRKMbFDCZ7YZIWj19xuKOxxkL4oaRq+CBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T11:26:46.152079Z","bundle_sha256":"ddcfab8b2ec1ec5b7326b46d02a4c2ae88163bd0005cbeaa60a1e90f0348fa1f"}}