{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:TEUNPYYLJPWVT4YZJ3U6GUCKCE","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":"2484381b5bd22f3c0743ea521932f7c5afd2950d4a6b02104de306d17df2b3a4","cross_cats_sorted":["cond-mat.other","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-07-19T13:45:45Z","title_canon_sha256":"2fd697ff5d3eadbec751eb289002d62aaa582dfe12a4ff93f36ff292295582e7"},"schema_version":"1.0","source":{"id":"1807.07867","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.07867","created_at":"2026-05-18T00:10:15Z"},{"alias_kind":"arxiv_version","alias_value":"1807.07867v1","created_at":"2026-05-18T00:10:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.07867","created_at":"2026-05-18T00:10:15Z"},{"alias_kind":"pith_short_12","alias_value":"TEUNPYYLJPWV","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"TEUNPYYLJPWVT4YZ","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"TEUNPYYL","created_at":"2026-05-18T12:32:53Z"}],"graph_snapshots":[{"event_id":"sha256:9d6b84bf42aef00f3afa2dc5766ffc8aeaa27348d7d57e54e10c8403ffbc91d2","target":"graph","created_at":"2026-05-18T00:10:15Z","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":"In this paper we investigate the energy functions for a class of non Gaussian processes. These processes are characterized in terms of the Mittag-Leffler function. We obtain closed analytic form for the energy function, in particular we recover the Brownian and fractional Brownian motion cases.","authors_text":"Jose Luis da Silva, Ludwig Streit, Wolfgang Bock","cross_cats":["cond-mat.other","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-07-19T13:45:45Z","title":"Energy Functions in Polymer Dynamics in terms of Generalized Grey Brownian Motion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.07867","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:da7244969c2875f98b6ff115f9684d83f5b9efc00694f8d286162c5ba648f356","target":"record","created_at":"2026-05-18T00:10:15Z","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":"2484381b5bd22f3c0743ea521932f7c5afd2950d4a6b02104de306d17df2b3a4","cross_cats_sorted":["cond-mat.other","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-07-19T13:45:45Z","title_canon_sha256":"2fd697ff5d3eadbec751eb289002d62aaa582dfe12a4ff93f36ff292295582e7"},"schema_version":"1.0","source":{"id":"1807.07867","kind":"arxiv","version":1}},"canonical_sha256":"9928d7e30b4bed59f3194ee9e3504a112417b48671df15af11aa2fe469a0adee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9928d7e30b4bed59f3194ee9e3504a112417b48671df15af11aa2fe469a0adee","first_computed_at":"2026-05-18T00:10:15.421654Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:10:15.421654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1mWb/bcpy/H79Ep0ery9eWPzPHye9O8Knlzd7BA+4IoCBS5qGzGWO3foKHHKGvKvsmD9rhuTC0e0rrJssgWuDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:10:15.422270Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.07867","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:da7244969c2875f98b6ff115f9684d83f5b9efc00694f8d286162c5ba648f356","sha256:9d6b84bf42aef00f3afa2dc5766ffc8aeaa27348d7d57e54e10c8403ffbc91d2"],"state_sha256":"e81356ff9c6b0b39535167d09a6ca06b8cb64e7675d9930b22087271ac6d30b8"}