{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:NW6JKT27M2MFO56W6GBABXRQG4","short_pith_number":"pith:NW6JKT27","canonical_record":{"source":{"id":"1502.00529","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-02-02T16:11:06Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"ff13bf40e25799c578de7d0028d66649cbec5df88404bd935dd6d47ffaad4989","abstract_canon_sha256":"748f7cfb936ad78873f2b63abe77ded2d34bd32767bdb6693c071f8d93fe35a5"},"schema_version":"1.0"},"canonical_sha256":"6dbc954f5f66985777d6f18200de3037147d361dde3e34e38d0c64ad5eaebbde","source":{"kind":"arxiv","id":"1502.00529","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.00529","created_at":"2026-05-18T00:44:37Z"},{"alias_kind":"arxiv_version","alias_value":"1502.00529v1","created_at":"2026-05-18T00:44:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.00529","created_at":"2026-05-18T00:44:37Z"},{"alias_kind":"pith_short_12","alias_value":"NW6JKT27M2MF","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"NW6JKT27M2MFO56W","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"NW6JKT27","created_at":"2026-05-18T12:29:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:NW6JKT27M2MFO56W6GBABXRQG4","target":"record","payload":{"canonical_record":{"source":{"id":"1502.00529","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-02-02T16:11:06Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"ff13bf40e25799c578de7d0028d66649cbec5df88404bd935dd6d47ffaad4989","abstract_canon_sha256":"748f7cfb936ad78873f2b63abe77ded2d34bd32767bdb6693c071f8d93fe35a5"},"schema_version":"1.0"},"canonical_sha256":"6dbc954f5f66985777d6f18200de3037147d361dde3e34e38d0c64ad5eaebbde","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:37.411920Z","signature_b64":"D2RPnWGVw/sGUR+r8+1j14/80FvUJuv5qOJoAdtADTPz1cYcgC1p9c41vOFtGUPAM9D+KpY26ig9JQ1M2BmvBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6dbc954f5f66985777d6f18200de3037147d361dde3e34e38d0c64ad5eaebbde","last_reissued_at":"2026-05-18T00:44:37.411348Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:37.411348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.00529","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":"2026-05-18T00:44:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CkuuwwuDfc8u9locGBMmi3risnpT4R6XH4mYiIqHAsHXwo1nHa1nipNrwF+kGXh5tFRHxxmNLrYeAOWSGCxCAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T07:00:53.270575Z"},"content_sha256":"4aee9b73b44393fe0b468ce6b162db773f8a35207d8faf879fc43046d5cb54cd","schema_version":"1.0","event_id":"sha256:4aee9b73b44393fe0b468ce6b162db773f8a35207d8faf879fc43046d5cb54cd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:NW6JKT27M2MFO56W6GBABXRQG4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Paradoxical probabilistic behavior for strongly correlated many-body classical systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Constantino Tsallis, Max Jauregui","submitted_at":"2015-02-02T16:11:06Z","abstract_excerpt":"Using a simple probabilistic model, we illustrate that a small part of a strongly correlated many-body classical system can show a paradoxical behavior, namely asymptotic stochastic independence. We consider a triangular array such that each row is a list of $n$ strongly correlated random variables. The correlations are preserved even when $n\\to\\infty$, since the standard central limit theorem does not hold for this array. We show that, if we choose a fixed number $m<n$ of random variables of the $n$th row and trace over the other $n-m$ variables, and then consider $n\\to\\infty$, the $m$ chosen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.00529","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":"2026-05-18T00:44:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IFfKuYmlHcl5klR1IptpHXzCW4/AoPN1olgQMmE8iQbL3L0EYHrkhA3+V5qSlZtkidbYmmhzZRXBL566DmbdAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T07:00:53.270918Z"},"content_sha256":"04c4d0e73d726ade6041ff169a42b7af8bdf50d7d225bf46dacc4f69d220d6dc","schema_version":"1.0","event_id":"sha256:04c4d0e73d726ade6041ff169a42b7af8bdf50d7d225bf46dacc4f69d220d6dc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NW6JKT27M2MFO56W6GBABXRQG4/bundle.json","state_url":"https://pith.science/pith/NW6JKT27M2MFO56W6GBABXRQG4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NW6JKT27M2MFO56W6GBABXRQG4/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":"2026-06-27T07:00:53Z","links":{"resolver":"https://pith.science/pith/NW6JKT27M2MFO56W6GBABXRQG4","bundle":"https://pith.science/pith/NW6JKT27M2MFO56W6GBABXRQG4/bundle.json","state":"https://pith.science/pith/NW6JKT27M2MFO56W6GBABXRQG4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NW6JKT27M2MFO56W6GBABXRQG4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:NW6JKT27M2MFO56W6GBABXRQG4","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":"748f7cfb936ad78873f2b63abe77ded2d34bd32767bdb6693c071f8d93fe35a5","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-02-02T16:11:06Z","title_canon_sha256":"ff13bf40e25799c578de7d0028d66649cbec5df88404bd935dd6d47ffaad4989"},"schema_version":"1.0","source":{"id":"1502.00529","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.00529","created_at":"2026-05-18T00:44:37Z"},{"alias_kind":"arxiv_version","alias_value":"1502.00529v1","created_at":"2026-05-18T00:44:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.00529","created_at":"2026-05-18T00:44:37Z"},{"alias_kind":"pith_short_12","alias_value":"NW6JKT27M2MF","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"NW6JKT27M2MFO56W","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"NW6JKT27","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:04c4d0e73d726ade6041ff169a42b7af8bdf50d7d225bf46dacc4f69d220d6dc","target":"graph","created_at":"2026-05-18T00:44:37Z","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":"Using a simple probabilistic model, we illustrate that a small part of a strongly correlated many-body classical system can show a paradoxical behavior, namely asymptotic stochastic independence. We consider a triangular array such that each row is a list of $n$ strongly correlated random variables. The correlations are preserved even when $n\\to\\infty$, since the standard central limit theorem does not hold for this array. We show that, if we choose a fixed number $m<n$ of random variables of the $n$th row and trace over the other $n-m$ variables, and then consider $n\\to\\infty$, the $m$ chosen","authors_text":"Constantino Tsallis, Max Jauregui","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-02-02T16:11:06Z","title":"Paradoxical probabilistic behavior for strongly correlated many-body classical systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.00529","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":"sha256:4aee9b73b44393fe0b468ce6b162db773f8a35207d8faf879fc43046d5cb54cd","target":"record","created_at":"2026-05-18T00:44:37Z","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":"748f7cfb936ad78873f2b63abe77ded2d34bd32767bdb6693c071f8d93fe35a5","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-02-02T16:11:06Z","title_canon_sha256":"ff13bf40e25799c578de7d0028d66649cbec5df88404bd935dd6d47ffaad4989"},"schema_version":"1.0","source":{"id":"1502.00529","kind":"arxiv","version":1}},"canonical_sha256":"6dbc954f5f66985777d6f18200de3037147d361dde3e34e38d0c64ad5eaebbde","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6dbc954f5f66985777d6f18200de3037147d361dde3e34e38d0c64ad5eaebbde","first_computed_at":"2026-05-18T00:44:37.411348Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:37.411348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"D2RPnWGVw/sGUR+r8+1j14/80FvUJuv5qOJoAdtADTPz1cYcgC1p9c41vOFtGUPAM9D+KpY26ig9JQ1M2BmvBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:37.411920Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.00529","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4aee9b73b44393fe0b468ce6b162db773f8a35207d8faf879fc43046d5cb54cd","sha256:04c4d0e73d726ade6041ff169a42b7af8bdf50d7d225bf46dacc4f69d220d6dc"],"state_sha256":"dfd7124f8c8332b925b420dd19ed5a8482d5c8dcdf1c7c6144347d7b81c3cecb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JBV6WllN/tWDJqKfCR7yY25tu+lorpU9xLTjVvcYsHz/faS3EabWAXFR4kB5HWkn0Q1jzlDNrnxSHdKMyyTcCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T07:00:53.274741Z","bundle_sha256":"c53e872938783a6604e914936392789da54cdb720d96c230d5499b0fe3e2d516"}}