{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:7HNG4J6P4CBU6BG4UOVWC3O7ZN","short_pith_number":"pith:7HNG4J6P","canonical_record":{"source":{"id":"0708.1207","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2007-08-09T03:28:31Z","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.str-el","hep-th","quant-ph"],"title_canon_sha256":"8b5d51fea7a596ecc9c87e12dd7432ca131fa40b0fbeef1ab590cc344fdb0ed7","abstract_canon_sha256":"ee408c62a9874fcf3eb36d5191b6a95729b4374bd88f6e401af2df7f67973c6a"},"schema_version":"1.0"},"canonical_sha256":"f9da6e27cfe0834f04dca3ab616ddfcb4422627a64d0a714f362cbc9d3b9cbd5","source":{"kind":"arxiv","id":"0708.1207","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0708.1207","created_at":"2026-05-18T01:05:14Z"},{"alias_kind":"arxiv_version","alias_value":"0708.1207v2","created_at":"2026-05-18T01:05:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0708.1207","created_at":"2026-05-18T01:05:14Z"},{"alias_kind":"pith_short_12","alias_value":"7HNG4J6P4CBU","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"7HNG4J6P4CBU6BG4","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"7HNG4J6P","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:7HNG4J6P4CBU6BG4UOVWC3O7ZN","target":"record","payload":{"canonical_record":{"source":{"id":"0708.1207","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2007-08-09T03:28:31Z","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.str-el","hep-th","quant-ph"],"title_canon_sha256":"8b5d51fea7a596ecc9c87e12dd7432ca131fa40b0fbeef1ab590cc344fdb0ed7","abstract_canon_sha256":"ee408c62a9874fcf3eb36d5191b6a95729b4374bd88f6e401af2df7f67973c6a"},"schema_version":"1.0"},"canonical_sha256":"f9da6e27cfe0834f04dca3ab616ddfcb4422627a64d0a714f362cbc9d3b9cbd5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:14.055498Z","signature_b64":"1ZxacP1+aWINP15UmrFgCu53uUyCE2X3UWFFQeaeHhcHfcjc6AvVrZ0PXk+A8GAqle+My82UjPVdBTwfBwc/Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f9da6e27cfe0834f04dca3ab616ddfcb4422627a64d0a714f362cbc9d3b9cbd5","last_reissued_at":"2026-05-18T01:05:14.054838Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:14.054838Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0708.1207","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":"2026-05-18T01:05:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LtujOhToM0KnS1mmln79Aws0R0T909HCrIDW/AZYo0LhfhoCAnCs0gt+cOzgWVTYP+acxv63ZmabpyyPHTLgDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T17:58:58.411129Z"},"content_sha256":"1dfc5d0d86a269ba8e7726f2468fcfef0dbd801995df8f1ea9cd9aa7af7a7b35","schema_version":"1.0","event_id":"sha256:1dfc5d0d86a269ba8e7726f2468fcfef0dbd801995df8f1ea9cd9aa7af7a7b35"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:7HNG4J6P4CBU6BG4UOVWC3O7ZN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entanglement Entropy in the Calogero-Sutherland Model","license":"","headline":"","cross_cats":["cond-mat.mes-hall","cond-mat.str-el","hep-th","quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Hosho Katsura, Yasuyuki Hatsuda","submitted_at":"2007-08-09T03:28:31Z","abstract_excerpt":"We investigate the entanglement entropy between two subsets of particles in the ground state of the Calogero-Sutherland model. By using the duality relations of the Jack symmetric polynomials, we obtain exact expressions for both the reduced density matrix and the entanglement entropy in the limit of an infinite number of particles traced out. From these results, we obtain an upper bound value of the entanglement entropy. This upper bound has a clear interpretation in terms of fractional exclusion statistics."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0708.1207","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":"2026-05-18T01:05:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qCsnuMYTlpAEfjUA2HV+K9kauaZuS6+ic57lfjp1jYdxyH96BvqPAY3inlmX0u6cOWYJMc4qon/Mi+iYSWTNAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T17:58:58.411855Z"},"content_sha256":"1a8681b5701ee867509cece24358f4ba25803bd9eed55f469150e873eaf93d73","schema_version":"1.0","event_id":"sha256:1a8681b5701ee867509cece24358f4ba25803bd9eed55f469150e873eaf93d73"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7HNG4J6P4CBU6BG4UOVWC3O7ZN/bundle.json","state_url":"https://pith.science/pith/7HNG4J6P4CBU6BG4UOVWC3O7ZN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7HNG4J6P4CBU6BG4UOVWC3O7ZN/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":"2026-05-30T17:58:58Z","links":{"resolver":"https://pith.science/pith/7HNG4J6P4CBU6BG4UOVWC3O7ZN","bundle":"https://pith.science/pith/7HNG4J6P4CBU6BG4UOVWC3O7ZN/bundle.json","state":"https://pith.science/pith/7HNG4J6P4CBU6BG4UOVWC3O7ZN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7HNG4J6P4CBU6BG4UOVWC3O7ZN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:7HNG4J6P4CBU6BG4UOVWC3O7ZN","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":"ee408c62a9874fcf3eb36d5191b6a95729b4374bd88f6e401af2df7f67973c6a","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.str-el","hep-th","quant-ph"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2007-08-09T03:28:31Z","title_canon_sha256":"8b5d51fea7a596ecc9c87e12dd7432ca131fa40b0fbeef1ab590cc344fdb0ed7"},"schema_version":"1.0","source":{"id":"0708.1207","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0708.1207","created_at":"2026-05-18T01:05:14Z"},{"alias_kind":"arxiv_version","alias_value":"0708.1207v2","created_at":"2026-05-18T01:05:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0708.1207","created_at":"2026-05-18T01:05:14Z"},{"alias_kind":"pith_short_12","alias_value":"7HNG4J6P4CBU","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"7HNG4J6P4CBU6BG4","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"7HNG4J6P","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:1a8681b5701ee867509cece24358f4ba25803bd9eed55f469150e873eaf93d73","target":"graph","created_at":"2026-05-18T01:05:14Z","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 investigate the entanglement entropy between two subsets of particles in the ground state of the Calogero-Sutherland model. By using the duality relations of the Jack symmetric polynomials, we obtain exact expressions for both the reduced density matrix and the entanglement entropy in the limit of an infinite number of particles traced out. From these results, we obtain an upper bound value of the entanglement entropy. This upper bound has a clear interpretation in terms of fractional exclusion statistics.","authors_text":"Hosho Katsura, Yasuyuki Hatsuda","cross_cats":["cond-mat.mes-hall","cond-mat.str-el","hep-th","quant-ph"],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2007-08-09T03:28:31Z","title":"Entanglement Entropy in the Calogero-Sutherland Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0708.1207","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":"sha256:1dfc5d0d86a269ba8e7726f2468fcfef0dbd801995df8f1ea9cd9aa7af7a7b35","target":"record","created_at":"2026-05-18T01:05:14Z","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":"ee408c62a9874fcf3eb36d5191b6a95729b4374bd88f6e401af2df7f67973c6a","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.str-el","hep-th","quant-ph"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2007-08-09T03:28:31Z","title_canon_sha256":"8b5d51fea7a596ecc9c87e12dd7432ca131fa40b0fbeef1ab590cc344fdb0ed7"},"schema_version":"1.0","source":{"id":"0708.1207","kind":"arxiv","version":2}},"canonical_sha256":"f9da6e27cfe0834f04dca3ab616ddfcb4422627a64d0a714f362cbc9d3b9cbd5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f9da6e27cfe0834f04dca3ab616ddfcb4422627a64d0a714f362cbc9d3b9cbd5","first_computed_at":"2026-05-18T01:05:14.054838Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:14.054838Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1ZxacP1+aWINP15UmrFgCu53uUyCE2X3UWFFQeaeHhcHfcjc6AvVrZ0PXk+A8GAqle+My82UjPVdBTwfBwc/Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:14.055498Z","signed_message":"canonical_sha256_bytes"},"source_id":"0708.1207","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1dfc5d0d86a269ba8e7726f2468fcfef0dbd801995df8f1ea9cd9aa7af7a7b35","sha256:1a8681b5701ee867509cece24358f4ba25803bd9eed55f469150e873eaf93d73"],"state_sha256":"3673c20ca748862d06ceeb8c063260d9230630721b20eee1b9ae122cc836b223"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mnY3nJphl/ZK9hrFEY3ERY13aJFVQr5FZk1OMsmsezmHLz5qpZFM7UZxBG4d0TCtP9+1BgjQbi0uL7rL8ySMBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T17:58:58.415358Z","bundle_sha256":"fe71cd06ff4775703b9851f0279650084c40c5385627f7ded8bd41004d7f3605"}}