{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:YLDLHRZABYGQ3YQX6OFIO34YGG","short_pith_number":"pith:YLDLHRZA","canonical_record":{"source":{"id":"1012.5039","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-12-22T17:10:27Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","math-ph","math.MP"],"title_canon_sha256":"8717dc7fad09a661db456de566c91918baafaa4cf4b5e2f7e27ab030be9f3f9c","abstract_canon_sha256":"5455c9cf9d87910fea20b28ab8111c54e13fe406a8a7e7be4891c33bfa38e8c8"},"schema_version":"1.0"},"canonical_sha256":"c2c6b3c7200e0d0de217f38a876f98319b972f280d7c80b8d3204cebe192d84b","source":{"kind":"arxiv","id":"1012.5039","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.5039","created_at":"2026-05-18T00:40:17Z"},{"alias_kind":"arxiv_version","alias_value":"1012.5039v2","created_at":"2026-05-18T00:40:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.5039","created_at":"2026-05-18T00:40:17Z"},{"alias_kind":"pith_short_12","alias_value":"YLDLHRZABYGQ","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"YLDLHRZABYGQ3YQX","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"YLDLHRZA","created_at":"2026-05-18T12:26:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:YLDLHRZABYGQ3YQX6OFIO34YGG","target":"record","payload":{"canonical_record":{"source":{"id":"1012.5039","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-12-22T17:10:27Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","math-ph","math.MP"],"title_canon_sha256":"8717dc7fad09a661db456de566c91918baafaa4cf4b5e2f7e27ab030be9f3f9c","abstract_canon_sha256":"5455c9cf9d87910fea20b28ab8111c54e13fe406a8a7e7be4891c33bfa38e8c8"},"schema_version":"1.0"},"canonical_sha256":"c2c6b3c7200e0d0de217f38a876f98319b972f280d7c80b8d3204cebe192d84b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:17.647281Z","signature_b64":"fvX3atRi5KRI+qDBHHG6m5OFa8bOHQ6hRN4RtTIrQMHdLPMwg7t0HdTAjkAdHOVNIkh4XA5IDBkMwKGdbPIYCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c2c6b3c7200e0d0de217f38a876f98319b972f280d7c80b8d3204cebe192d84b","last_reissued_at":"2026-05-18T00:40:17.646516Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:17.646516Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1012.5039","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":"2026-05-18T00:40:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ns6op/WGBYbZXrq8wgpJjg5AaD836aDmEsVUcccBF/YggxtcqOYf5L9yTdUlIErRkMj7AvMu61NKDHGU7FmSDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T16:26:49.453849Z"},"content_sha256":"68babbe8b23fd94a284ce3c829a900765dc4f1f82c1cc430f51a40a0ad968690","schema_version":"1.0","event_id":"sha256:68babbe8b23fd94a284ce3c829a900765dc4f1f82c1cc430f51a40a0ad968690"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:YLDLHRZABYGQ3YQX6OFIO34YGG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Isotropic Entanglement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Alan Edelman, Ramis Movassagh","submitted_at":"2010-12-22T17:10:27Z","abstract_excerpt":"The method of \"Isotropic Entanglement\" (IE), inspired by Free Probability Theory and Random Matrix Theory, predicts the eigenvalue distribution of quantum many-body (spin) systems with generic interactions. At the heart is a \"Slider\", which interpolates between two extrema by matching fourth moments. The first extreme treats the non-commuting terms classically and the second treats them isotropically. Isotropic means that the eigenvectors are in generic positions. We prove Matching Three Moments and Slider Theorems and further prove that the interpolation is universal, i.e., independent of the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.5039","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":"2026-05-18T00:40:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z8hRhXOxPuRtPQGQvBhpPoATBNNSfPOfjsZQAVvM3wFyhwiarCnoa/BYeejf7VPHzlB6b0arlk8bVGJ7M0LPCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T16:26:49.454589Z"},"content_sha256":"dbc0bd8c44b70fd3689782d08a7964f909f6bfe96a2f710227c2c726744fec4c","schema_version":"1.0","event_id":"sha256:dbc0bd8c44b70fd3689782d08a7964f909f6bfe96a2f710227c2c726744fec4c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YLDLHRZABYGQ3YQX6OFIO34YGG/bundle.json","state_url":"https://pith.science/pith/YLDLHRZABYGQ3YQX6OFIO34YGG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YLDLHRZABYGQ3YQX6OFIO34YGG/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":"2026-05-25T16:26:49Z","links":{"resolver":"https://pith.science/pith/YLDLHRZABYGQ3YQX6OFIO34YGG","bundle":"https://pith.science/pith/YLDLHRZABYGQ3YQX6OFIO34YGG/bundle.json","state":"https://pith.science/pith/YLDLHRZABYGQ3YQX6OFIO34YGG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YLDLHRZABYGQ3YQX6OFIO34YGG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:YLDLHRZABYGQ3YQX6OFIO34YGG","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":"5455c9cf9d87910fea20b28ab8111c54e13fe406a8a7e7be4891c33bfa38e8c8","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-12-22T17:10:27Z","title_canon_sha256":"8717dc7fad09a661db456de566c91918baafaa4cf4b5e2f7e27ab030be9f3f9c"},"schema_version":"1.0","source":{"id":"1012.5039","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.5039","created_at":"2026-05-18T00:40:17Z"},{"alias_kind":"arxiv_version","alias_value":"1012.5039v2","created_at":"2026-05-18T00:40:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.5039","created_at":"2026-05-18T00:40:17Z"},{"alias_kind":"pith_short_12","alias_value":"YLDLHRZABYGQ","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"YLDLHRZABYGQ3YQX","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"YLDLHRZA","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:dbc0bd8c44b70fd3689782d08a7964f909f6bfe96a2f710227c2c726744fec4c","target":"graph","created_at":"2026-05-18T00:40:17Z","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":"The method of \"Isotropic Entanglement\" (IE), inspired by Free Probability Theory and Random Matrix Theory, predicts the eigenvalue distribution of quantum many-body (spin) systems with generic interactions. At the heart is a \"Slider\", which interpolates between two extrema by matching fourth moments. The first extreme treats the non-commuting terms classically and the second treats them isotropically. Isotropic means that the eigenvectors are in generic positions. We prove Matching Three Moments and Slider Theorems and further prove that the interpolation is universal, i.e., independent of the","authors_text":"Alan Edelman, Ramis Movassagh","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-12-22T17:10:27Z","title":"Isotropic Entanglement"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.5039","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":"sha256:68babbe8b23fd94a284ce3c829a900765dc4f1f82c1cc430f51a40a0ad968690","target":"record","created_at":"2026-05-18T00:40:17Z","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":"5455c9cf9d87910fea20b28ab8111c54e13fe406a8a7e7be4891c33bfa38e8c8","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-12-22T17:10:27Z","title_canon_sha256":"8717dc7fad09a661db456de566c91918baafaa4cf4b5e2f7e27ab030be9f3f9c"},"schema_version":"1.0","source":{"id":"1012.5039","kind":"arxiv","version":2}},"canonical_sha256":"c2c6b3c7200e0d0de217f38a876f98319b972f280d7c80b8d3204cebe192d84b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c2c6b3c7200e0d0de217f38a876f98319b972f280d7c80b8d3204cebe192d84b","first_computed_at":"2026-05-18T00:40:17.646516Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:17.646516Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fvX3atRi5KRI+qDBHHG6m5OFa8bOHQ6hRN4RtTIrQMHdLPMwg7t0HdTAjkAdHOVNIkh4XA5IDBkMwKGdbPIYCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:17.647281Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.5039","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68babbe8b23fd94a284ce3c829a900765dc4f1f82c1cc430f51a40a0ad968690","sha256:dbc0bd8c44b70fd3689782d08a7964f909f6bfe96a2f710227c2c726744fec4c"],"state_sha256":"bcec56009ba954b140a8c90f0b483dd0c3e053439f4ccb311f0f03cab442fa69"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rW1u/0Qhpr4hy5fBNtwu3gjNP4heSJH+RosBfuL2+/6MLp2o5PTI8qvUCEh4qz+ApyvLSjpOoX2euFmtkElFCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T16:26:49.458581Z","bundle_sha256":"67a9bc46bebb96ea69d53a52e7de9d28b35ad4145cca2e53a41d294610b3604b"}}