{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:VYN2ZN2AO5MH7MEX63DTLYMT7O","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":"c89d3d866d0d0d6c576ce5fd9f5d8005b5a7e37d14c87d74680dddaa0e7498bb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-09-26T15:28:04Z","title_canon_sha256":"c230d99dec856fb895c9966557efe5139d182294219b04c7f9c11ee8983ef80b"},"schema_version":"1.0","source":{"id":"1709.09089","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.09089","created_at":"2026-05-18T00:34:21Z"},{"alias_kind":"arxiv_version","alias_value":"1709.09089v1","created_at":"2026-05-18T00:34:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.09089","created_at":"2026-05-18T00:34:21Z"},{"alias_kind":"pith_short_12","alias_value":"VYN2ZN2AO5MH","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VYN2ZN2AO5MH7MEX","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VYN2ZN2A","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:bcb7cc592c62d8d21e63be725a6af48beda02c9d64504de76f813c0bf3b0909a","target":"graph","created_at":"2026-05-18T00:34:21Z","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":"Fractional derivatives are nonlocal differential operators of real order that often appear in models of anomalous diffusion and a variety of nonlocal phenomena. Recently, a version of the Schr\\\"odinger Equation containing a fractional Laplacian has been proposed. In this work, we develop a Fractional Path Integral Monte Carlo algorithm that can be used to study the finite temperature behavior of the time-independent Fractional Schr\\\"odinger Equation for a variety of potentials. In so doing, we derive an analytic form for the finite temperature fractional free particle density matrix and demons","authors_text":"Brenda M. Rubenstein, Haobo Yang, Mamikon Gulian","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-09-26T15:28:04Z","title":"Fractional Path Integral Monte Carlo"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.09089","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":"sha256:014787083ec8c077a348b5b35dcb6a0fdca91f7c66490133e1d87f36cbfb85f7","target":"record","created_at":"2026-05-18T00:34:21Z","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":"c89d3d866d0d0d6c576ce5fd9f5d8005b5a7e37d14c87d74680dddaa0e7498bb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-09-26T15:28:04Z","title_canon_sha256":"c230d99dec856fb895c9966557efe5139d182294219b04c7f9c11ee8983ef80b"},"schema_version":"1.0","source":{"id":"1709.09089","kind":"arxiv","version":1}},"canonical_sha256":"ae1bacb74077587fb097f6c735e193fbbb525ea84c0b7476e3bf0f9a91ddfc57","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae1bacb74077587fb097f6c735e193fbbb525ea84c0b7476e3bf0f9a91ddfc57","first_computed_at":"2026-05-18T00:34:21.178756Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:21.178756Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6ySL4vwqfKAxuJixntshN8a/lIX8M+IF+P0bp7OOCFFfaMVb35gwKNhAOCHdyTknae1bP3Jzw224dZUKyhDYAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:21.179182Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.09089","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:014787083ec8c077a348b5b35dcb6a0fdca91f7c66490133e1d87f36cbfb85f7","sha256:bcb7cc592c62d8d21e63be725a6af48beda02c9d64504de76f813c0bf3b0909a"],"state_sha256":"7705d7c2011b05e53dedc74985b94d735dad45815eb61cc73be7f0c2369c77a8"}