{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:4MTBJXTDF32OQKY5WGZAUCLQOD","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":"e6ff9efa9e6ee9877e2915381fd8058330116aea0021bda9afffaa4a0c54793e","cross_cats_sorted":["physics.comp-ph","stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-02-02T13:53:18Z","title_canon_sha256":"5fd2c4c12a077e04763221294f1274a55de9081c2c275d238d5761938d6d441b"},"schema_version":"1.0","source":{"id":"1602.00924","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.00924","created_at":"2026-05-18T01:21:24Z"},{"alias_kind":"arxiv_version","alias_value":"1602.00924v1","created_at":"2026-05-18T01:21:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.00924","created_at":"2026-05-18T01:21:24Z"},{"alias_kind":"pith_short_12","alias_value":"4MTBJXTDF32O","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4MTBJXTDF32OQKY5","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4MTBJXTD","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:b9fd24a8689a5cd7dd2f01b1f0ad0ccb1b9f37693f468cc9a27fe82cdb79522c","target":"graph","created_at":"2026-05-18T01:21:24Z","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 derive fractional Brownian motion and stochastic processes with multifractal properties using a framework of network of Gaussian conditional probabilities. This leads to the derivation of new representations of fractional Brownian motion. These constructions are inspired from renormalization. The main result of this paper consists of constructing each increment of the process from two-dimensional gaussian noise inside the light-cone of each seperate increment. Not only does this allows us to derive fractional Brownian motion, we can introduce extensions with multifractal flavour. In another","authors_text":"Beno\\^it Descamps","cross_cats":["physics.comp-ph","stat.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-02-02T13:53:18Z","title":"(Quantum) Fractional Brownian Motion and Multifractal Processes under the Loop of a Tensor Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.00924","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":"sha256:5fb5fb1700745c38c78219bdf8dcc1760d52d34368dc062d874fd999565bf096","target":"record","created_at":"2026-05-18T01:21:24Z","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":"e6ff9efa9e6ee9877e2915381fd8058330116aea0021bda9afffaa4a0c54793e","cross_cats_sorted":["physics.comp-ph","stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-02-02T13:53:18Z","title_canon_sha256":"5fd2c4c12a077e04763221294f1274a55de9081c2c275d238d5761938d6d441b"},"schema_version":"1.0","source":{"id":"1602.00924","kind":"arxiv","version":1}},"canonical_sha256":"e32614de632ef4e82b1db1b20a097070d731a1fe05813933052b5dd038662db6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e32614de632ef4e82b1db1b20a097070d731a1fe05813933052b5dd038662db6","first_computed_at":"2026-05-18T01:21:24.270066Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:24.270066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pe1HGj+oMGUiTY3BFrT3eZ88JYDTTJ7VlB4RJPvFAG2CwaKo06/Y7yURa1EAaaBXvAe8IteadNp+9Tnkt0+nCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:24.270650Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.00924","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5fb5fb1700745c38c78219bdf8dcc1760d52d34368dc062d874fd999565bf096","sha256:b9fd24a8689a5cd7dd2f01b1f0ad0ccb1b9f37693f468cc9a27fe82cdb79522c"],"state_sha256":"d44324b1bb1650d478cb9353994f02341a8e45aebf7b8b88889cd6f23b3a9cb4"}