{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:TOKZLFWQJMD3FK6CR3GIM3KE3O","short_pith_number":"pith:TOKZLFWQ","canonical_record":{"source":{"id":"1110.2948","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-10-13T14:02:16Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"4862dca7cf07e3da25f6c16abf7bb332c7d42078d27fe1507e6b48f668ad06b7","abstract_canon_sha256":"c05090429ef64bf6385f9f748231fd0d0b8ffd6f81b50234c1aec6cb43190db3"},"schema_version":"1.0"},"canonical_sha256":"9b959596d04b07b2abc28ecc866d44dbb2a7c352b71bbaf3a25f835c79722c71","source":{"kind":"arxiv","id":"1110.2948","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.2948","created_at":"2026-05-18T04:11:06Z"},{"alias_kind":"arxiv_version","alias_value":"1110.2948v1","created_at":"2026-05-18T04:11:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.2948","created_at":"2026-05-18T04:11:06Z"},{"alias_kind":"pith_short_12","alias_value":"TOKZLFWQJMD3","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"TOKZLFWQJMD3FK6C","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"TOKZLFWQ","created_at":"2026-05-18T12:26:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:TOKZLFWQJMD3FK6CR3GIM3KE3O","target":"record","payload":{"canonical_record":{"source":{"id":"1110.2948","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-10-13T14:02:16Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"4862dca7cf07e3da25f6c16abf7bb332c7d42078d27fe1507e6b48f668ad06b7","abstract_canon_sha256":"c05090429ef64bf6385f9f748231fd0d0b8ffd6f81b50234c1aec6cb43190db3"},"schema_version":"1.0"},"canonical_sha256":"9b959596d04b07b2abc28ecc866d44dbb2a7c352b71bbaf3a25f835c79722c71","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:11:06.591375Z","signature_b64":"/dzvDTPi4QQhlgRG9oFYaUMiV1RjMHFyDyR7mPCv9S47JHmrTw0Isz6HzPdp4TFeYcALiwyEJKNPyToab/cZAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9b959596d04b07b2abc28ecc866d44dbb2a7c352b71bbaf3a25f835c79722c71","last_reissued_at":"2026-05-18T04:11:06.590752Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:11:06.590752Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.2948","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":"2026-05-18T04:11:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S5KzE7YnykHV7vGF9pWnC+BM75HHFYt3EJmveUVSO7IQzhTKe203K1ibd7UtkT9O75aFHKv3VzkdIWaXChKbAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T15:47:15.581212Z"},"content_sha256":"a8c74d1ebf8424ab7e2a167d354d15ed5c4b0af341d7f1d9d727e6d6f5438dab","schema_version":"1.0","event_id":"sha256:a8c74d1ebf8424ab7e2a167d354d15ed5c4b0af341d7f1d9d727e6d6f5438dab"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:TOKZLFWQJMD3FK6CR3GIM3KE3O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Random matrices ensembles and the extensivity of the Sq entropy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.stat-mech","authors_text":"A. C. Bertuola, M. P. Pato","submitted_at":"2011-10-13T14:02:16Z","abstract_excerpt":"We consider the joint density distribution of the elements of certain random matrix models which are example of globally correlated and asymptotically scale-invariant distributions. It is shown that in their cases, the nonadditive entropy $S_q$ is extensive only when the limit $q\\rightarrow 1$ is taken. On the other hand, when restriction in the occupation of the phase space is imposed extensiveness is obtained for values of the entropic parameter different of one."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.2948","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":"2026-05-18T04:11:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qG0PY1/QcH9Us9gBVZbT5hL102SKUdQrO1Ha1fP/tnnHbaaXWUXKIwzk1xcjf4+gm1ugoVx9HHF3Ez0ufftgCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T15:47:15.582096Z"},"content_sha256":"215ddaf4bcbb380de4cee26f5d390aa9b7e2727873d83b02e60bcdf07cfe0991","schema_version":"1.0","event_id":"sha256:215ddaf4bcbb380de4cee26f5d390aa9b7e2727873d83b02e60bcdf07cfe0991"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TOKZLFWQJMD3FK6CR3GIM3KE3O/bundle.json","state_url":"https://pith.science/pith/TOKZLFWQJMD3FK6CR3GIM3KE3O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TOKZLFWQJMD3FK6CR3GIM3KE3O/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":"2026-05-31T15:47:15Z","links":{"resolver":"https://pith.science/pith/TOKZLFWQJMD3FK6CR3GIM3KE3O","bundle":"https://pith.science/pith/TOKZLFWQJMD3FK6CR3GIM3KE3O/bundle.json","state":"https://pith.science/pith/TOKZLFWQJMD3FK6CR3GIM3KE3O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TOKZLFWQJMD3FK6CR3GIM3KE3O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:TOKZLFWQJMD3FK6CR3GIM3KE3O","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":"c05090429ef64bf6385f9f748231fd0d0b8ffd6f81b50234c1aec6cb43190db3","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-10-13T14:02:16Z","title_canon_sha256":"4862dca7cf07e3da25f6c16abf7bb332c7d42078d27fe1507e6b48f668ad06b7"},"schema_version":"1.0","source":{"id":"1110.2948","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.2948","created_at":"2026-05-18T04:11:06Z"},{"alias_kind":"arxiv_version","alias_value":"1110.2948v1","created_at":"2026-05-18T04:11:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.2948","created_at":"2026-05-18T04:11:06Z"},{"alias_kind":"pith_short_12","alias_value":"TOKZLFWQJMD3","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"TOKZLFWQJMD3FK6C","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"TOKZLFWQ","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:215ddaf4bcbb380de4cee26f5d390aa9b7e2727873d83b02e60bcdf07cfe0991","target":"graph","created_at":"2026-05-18T04:11:06Z","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 consider the joint density distribution of the elements of certain random matrix models which are example of globally correlated and asymptotically scale-invariant distributions. It is shown that in their cases, the nonadditive entropy $S_q$ is extensive only when the limit $q\\rightarrow 1$ is taken. On the other hand, when restriction in the occupation of the phase space is imposed extensiveness is obtained for values of the entropic parameter different of one.","authors_text":"A. C. Bertuola, M. P. Pato","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-10-13T14:02:16Z","title":"Random matrices ensembles and the extensivity of the Sq entropy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.2948","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:a8c74d1ebf8424ab7e2a167d354d15ed5c4b0af341d7f1d9d727e6d6f5438dab","target":"record","created_at":"2026-05-18T04:11:06Z","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":"c05090429ef64bf6385f9f748231fd0d0b8ffd6f81b50234c1aec6cb43190db3","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-10-13T14:02:16Z","title_canon_sha256":"4862dca7cf07e3da25f6c16abf7bb332c7d42078d27fe1507e6b48f668ad06b7"},"schema_version":"1.0","source":{"id":"1110.2948","kind":"arxiv","version":1}},"canonical_sha256":"9b959596d04b07b2abc28ecc866d44dbb2a7c352b71bbaf3a25f835c79722c71","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9b959596d04b07b2abc28ecc866d44dbb2a7c352b71bbaf3a25f835c79722c71","first_computed_at":"2026-05-18T04:11:06.590752Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:11:06.590752Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/dzvDTPi4QQhlgRG9oFYaUMiV1RjMHFyDyR7mPCv9S47JHmrTw0Isz6HzPdp4TFeYcALiwyEJKNPyToab/cZAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:11:06.591375Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.2948","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a8c74d1ebf8424ab7e2a167d354d15ed5c4b0af341d7f1d9d727e6d6f5438dab","sha256:215ddaf4bcbb380de4cee26f5d390aa9b7e2727873d83b02e60bcdf07cfe0991"],"state_sha256":"0b8eb7514dbbc7fdc4e7909b84fda6b02c1ccfd955faf50caf776206ada7a47b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"asSssi4PRfuzJUeZSgYJXKfyJT+p8O0sY6bN1pcRa/7Y4WiBr+4CKApCKeF4bY4sijgEWglCyi+96KqgxpTFCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T15:47:15.586994Z","bundle_sha256":"2b330e3224b988d458db26f4f317ffa180d9bb7bd5ef68b9ec00093c349bfd52"}}