{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:JSBGQNZ37PJLSHSPUJHJNZOZ5R","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":"c66219305b76d33cf3ad61558ff08812a2f839874ab6abe043e7094dcae94480","cross_cats_sorted":["physics.class-ph","physics.comp-ph","physics.data-an","physics.pop-ph"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-05-21T18:08:27Z","title_canon_sha256":"8473098423b4155e9ae047df2eb55176e21669f47219fc7959a69fa7a020d127"},"schema_version":"1.0","source":{"id":"2605.22933","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.22933","created_at":"2026-05-25T02:01:30Z"},{"alias_kind":"arxiv_version","alias_value":"2605.22933v1","created_at":"2026-05-25T02:01:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.22933","created_at":"2026-05-25T02:01:30Z"},{"alias_kind":"pith_short_12","alias_value":"JSBGQNZ37PJL","created_at":"2026-05-25T02:01:30Z"},{"alias_kind":"pith_short_16","alias_value":"JSBGQNZ37PJLSHSP","created_at":"2026-05-25T02:01:30Z"},{"alias_kind":"pith_short_8","alias_value":"JSBGQNZ3","created_at":"2026-05-25T02:01:30Z"}],"graph_snapshots":[{"event_id":"sha256:d822a77416c0af1279f4b5a48994e2626a64c94d60632a65c18cd80ade2cfdf2","target":"graph","created_at":"2026-05-25T02:01:30Z","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/2605.22933/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The emergence of heavy-tailed statistics in complex systems is conventionally attributed to non-local stochastic jumps or non-Markovian memory. Here, we present a one-dimensional random walk where power-law behaviors arise instead from a strictly local, discrete-time Markovian mechanism. The step length is governed by a deterministic function of the walker's position, establishing a positive feedback loop that induces strong effective correlations along the trajectories. Through analytical derivations in the continuum limit and extensive numerical simulations, we show that this rule yields a r","authors_text":"Evaldo M. F. Curado, Henrique S. Lima","cross_cats":["physics.class-ph","physics.comp-ph","physics.data-an","physics.pop-ph"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-05-21T18:08:27Z","title":"Emergent heavy-tailed distributions from a Markovian random walk"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.22933","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:cd2a17d6150ab08d1e58c8048be519b7078b07d440828917c223e32c6d1a6e93","target":"record","created_at":"2026-05-25T02:01:30Z","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":"c66219305b76d33cf3ad61558ff08812a2f839874ab6abe043e7094dcae94480","cross_cats_sorted":["physics.class-ph","physics.comp-ph","physics.data-an","physics.pop-ph"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-05-21T18:08:27Z","title_canon_sha256":"8473098423b4155e9ae047df2eb55176e21669f47219fc7959a69fa7a020d127"},"schema_version":"1.0","source":{"id":"2605.22933","kind":"arxiv","version":1}},"canonical_sha256":"4c8268373bfbd2b91e4fa24e96e5d9ec5099a34af727c51d731fe06862b6b3ed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4c8268373bfbd2b91e4fa24e96e5d9ec5099a34af727c51d731fe06862b6b3ed","first_computed_at":"2026-05-25T02:01:30.988887Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-25T02:01:30.988887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"inK8va+np7vivGDazoUS5vkNbY2hJL10QqLnK3LMCp34wpv49/M7a8SbeJt0h02ym9ZCQn67JNP/Vx+9/tUvCA==","signature_status":"signed_v1","signed_at":"2026-05-25T02:01:30.989655Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.22933","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cd2a17d6150ab08d1e58c8048be519b7078b07d440828917c223e32c6d1a6e93","sha256:d822a77416c0af1279f4b5a48994e2626a64c94d60632a65c18cd80ade2cfdf2"],"state_sha256":"c8b41cbd8dafbb1e9323af7a6f1329191d001b9ce15eec6c3e44c3421f1f9034"}