{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:GFJTASLIWGLJX4YUAKYISAZ2D7","short_pith_number":"pith:GFJTASLI","canonical_record":{"source":{"id":"cond-mat/0604143","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.soft","submitted_at":"2006-04-05T16:32:13Z","cross_cats_sorted":[],"title_canon_sha256":"b6a3a72e3c44636001946acebf8f32259734c10a58cbfb616acfd5088720c63a","abstract_canon_sha256":"9473f8911bfc59f6957cdd8603930a8ae89cd0e3e7dc3d5433ecd2f9d81783d5"},"schema_version":"1.0"},"canonical_sha256":"3153304968b1969bf31402b089033a1fecc207e9a44b8039fc3cdc9c5b829870","source":{"kind":"arxiv","id":"cond-mat/0604143","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0604143","created_at":"2026-07-04T14:53:48Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0604143v1","created_at":"2026-07-04T14:53:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0604143","created_at":"2026-07-04T14:53:48Z"},{"alias_kind":"pith_short_12","alias_value":"GFJTASLIWGLJ","created_at":"2026-07-04T14:53:48Z"},{"alias_kind":"pith_short_16","alias_value":"GFJTASLIWGLJX4YU","created_at":"2026-07-04T14:53:48Z"},{"alias_kind":"pith_short_8","alias_value":"GFJTASLI","created_at":"2026-07-04T14:53:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:GFJTASLIWGLJX4YUAKYISAZ2D7","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0604143","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.soft","submitted_at":"2006-04-05T16:32:13Z","cross_cats_sorted":[],"title_canon_sha256":"b6a3a72e3c44636001946acebf8f32259734c10a58cbfb616acfd5088720c63a","abstract_canon_sha256":"9473f8911bfc59f6957cdd8603930a8ae89cd0e3e7dc3d5433ecd2f9d81783d5"},"schema_version":"1.0"},"canonical_sha256":"3153304968b1969bf31402b089033a1fecc207e9a44b8039fc3cdc9c5b829870","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:53:48.645221Z","signature_b64":"AsPza5HknQtI7TVgSCNrX70IC0VdEUlYbiqWdBt6SoWR6lDvAd8C53vgk6aSxt3fIrMA5E3R27Cq7rQ9PpBFBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3153304968b1969bf31402b089033a1fecc207e9a44b8039fc3cdc9c5b829870","last_reissued_at":"2026-07-04T14:53:48.644822Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:53:48.644822Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0604143","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":"2026-07-04T14:53:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TuULthgIDfTtWAjJGkHOD6g6p2U81Thl5ysZRU4pcsB1zV9CUb+3fvDdFBSiinF/6tStuakgRUIgDm4uU+qQBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T15:45:05.735265Z"},"content_sha256":"07e5fc3a26bab8de4d1ca6697189de29952fb6314080ace188f051387df967dc","schema_version":"1.0","event_id":"sha256:07e5fc3a26bab8de4d1ca6697189de29952fb6314080ace188f051387df967dc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:GFJTASLIWGLJX4YUAKYISAZ2D7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entropic origin of dielectric relaxation universalities in heterogeneous materials (polymers, glasses, aerogel catalysts)","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"A. Gonzalez, F. Brouers, J. P. Pirard, O. Sotolongo-Costa","submitted_at":"2006-04-05T16:32:13Z","abstract_excerpt":"We have derived a universal relaxation function for heterogeneous materials using the maximum entropy principle for nonextensive systems. The power law exponents of the relaxation function are simply related to a global fractal parameter and for large time to the entropy nonextensivity parameter q. For intermediate times the relaxation follows a stretched exponential behavior. The asymptotic power law behaviors both in the time and the frequency domains coincide with those of the Weron generalized dielectric function derived in the stochastic theory from an extension of the Levy central limit "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0604143","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/cond-mat/0604143/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T14:53:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zGqOOpH5T0QZDPDM86X+bi/B+8QoGdtI7PDxYW428UHETTLUV+HNYe9Jge0RrtX2HcYcds6wxOHycniKsTkoCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T15:45:05.735916Z"},"content_sha256":"51f68f9e9990dc406b8f16a286e5bc648aea6d6f6e2a1a5c89d8812297713e20","schema_version":"1.0","event_id":"sha256:51f68f9e9990dc406b8f16a286e5bc648aea6d6f6e2a1a5c89d8812297713e20"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GFJTASLIWGLJX4YUAKYISAZ2D7/bundle.json","state_url":"https://pith.science/pith/GFJTASLIWGLJX4YUAKYISAZ2D7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GFJTASLIWGLJX4YUAKYISAZ2D7/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":"2026-07-05T15:45:05Z","links":{"resolver":"https://pith.science/pith/GFJTASLIWGLJX4YUAKYISAZ2D7","bundle":"https://pith.science/pith/GFJTASLIWGLJX4YUAKYISAZ2D7/bundle.json","state":"https://pith.science/pith/GFJTASLIWGLJX4YUAKYISAZ2D7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GFJTASLIWGLJX4YUAKYISAZ2D7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:GFJTASLIWGLJX4YUAKYISAZ2D7","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":"9473f8911bfc59f6957cdd8603930a8ae89cd0e3e7dc3d5433ecd2f9d81783d5","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.soft","submitted_at":"2006-04-05T16:32:13Z","title_canon_sha256":"b6a3a72e3c44636001946acebf8f32259734c10a58cbfb616acfd5088720c63a"},"schema_version":"1.0","source":{"id":"cond-mat/0604143","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0604143","created_at":"2026-07-04T14:53:48Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0604143v1","created_at":"2026-07-04T14:53:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0604143","created_at":"2026-07-04T14:53:48Z"},{"alias_kind":"pith_short_12","alias_value":"GFJTASLIWGLJ","created_at":"2026-07-04T14:53:48Z"},{"alias_kind":"pith_short_16","alias_value":"GFJTASLIWGLJX4YU","created_at":"2026-07-04T14:53:48Z"},{"alias_kind":"pith_short_8","alias_value":"GFJTASLI","created_at":"2026-07-04T14:53:48Z"}],"graph_snapshots":[{"event_id":"sha256:51f68f9e9990dc406b8f16a286e5bc648aea6d6f6e2a1a5c89d8812297713e20","target":"graph","created_at":"2026-07-04T14:53:48Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/cond-mat/0604143/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We have derived a universal relaxation function for heterogeneous materials using the maximum entropy principle for nonextensive systems. The power law exponents of the relaxation function are simply related to a global fractal parameter and for large time to the entropy nonextensivity parameter q. For intermediate times the relaxation follows a stretched exponential behavior. The asymptotic power law behaviors both in the time and the frequency domains coincide with those of the Weron generalized dielectric function derived in the stochastic theory from an extension of the Levy central limit ","authors_text":"A. Gonzalez, F. Brouers, J. P. Pirard, O. Sotolongo-Costa","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.soft","submitted_at":"2006-04-05T16:32:13Z","title":"Entropic origin of dielectric relaxation universalities in heterogeneous materials (polymers, glasses, aerogel catalysts)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0604143","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":"sha256:07e5fc3a26bab8de4d1ca6697189de29952fb6314080ace188f051387df967dc","target":"record","created_at":"2026-07-04T14:53:48Z","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":"9473f8911bfc59f6957cdd8603930a8ae89cd0e3e7dc3d5433ecd2f9d81783d5","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.soft","submitted_at":"2006-04-05T16:32:13Z","title_canon_sha256":"b6a3a72e3c44636001946acebf8f32259734c10a58cbfb616acfd5088720c63a"},"schema_version":"1.0","source":{"id":"cond-mat/0604143","kind":"arxiv","version":1}},"canonical_sha256":"3153304968b1969bf31402b089033a1fecc207e9a44b8039fc3cdc9c5b829870","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3153304968b1969bf31402b089033a1fecc207e9a44b8039fc3cdc9c5b829870","first_computed_at":"2026-07-04T14:53:48.644822Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:53:48.644822Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AsPza5HknQtI7TVgSCNrX70IC0VdEUlYbiqWdBt6SoWR6lDvAd8C53vgk6aSxt3fIrMA5E3R27Cq7rQ9PpBFBQ==","signature_status":"signed_v1","signed_at":"2026-07-04T14:53:48.645221Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0604143","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:07e5fc3a26bab8de4d1ca6697189de29952fb6314080ace188f051387df967dc","sha256:51f68f9e9990dc406b8f16a286e5bc648aea6d6f6e2a1a5c89d8812297713e20"],"state_sha256":"e5d9201337c5d3d05ffab2817ea940b3416b26962191786b06262310fe3d5fa8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9e+ULcpP6He/DqkWqINFcLoBvmdrRf/52lK11cvNRMng8W7wOwaeyyDbgmYKhf/9ug6+rkqxny+BEHS/EbEoBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T15:45:05.739304Z","bundle_sha256":"95beef7a7a246ceccb2f73192eab869884fbf3b3b7ce8b95617b958396da7940"}}