{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:OHUGGMMRTOAG4X64YVCYCCAFQX","short_pith_number":"pith:OHUGGMMR","canonical_record":{"source":{"id":"1503.03045","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-03-10T19:32:59Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"4fbdc55b50279443b5bbed814185bbd4647ee7c82949ddfa23d51f01896972a1","abstract_canon_sha256":"534eb2584d91355d382020065ca2520e12acd7a48ff86d7fc8153c0e5d60b51a"},"schema_version":"1.0"},"canonical_sha256":"71e86331919b806e5fdcc54581080585c37c84bd52dc789e6e25c9a1782f82cd","source":{"kind":"arxiv","id":"1503.03045","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.03045","created_at":"2026-05-18T01:35:10Z"},{"alias_kind":"arxiv_version","alias_value":"1503.03045v2","created_at":"2026-05-18T01:35:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.03045","created_at":"2026-05-18T01:35:10Z"},{"alias_kind":"pith_short_12","alias_value":"OHUGGMMRTOAG","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OHUGGMMRTOAG4X64","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OHUGGMMR","created_at":"2026-05-18T12:29:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:OHUGGMMRTOAG4X64YVCYCCAFQX","target":"record","payload":{"canonical_record":{"source":{"id":"1503.03045","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-03-10T19:32:59Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"4fbdc55b50279443b5bbed814185bbd4647ee7c82949ddfa23d51f01896972a1","abstract_canon_sha256":"534eb2584d91355d382020065ca2520e12acd7a48ff86d7fc8153c0e5d60b51a"},"schema_version":"1.0"},"canonical_sha256":"71e86331919b806e5fdcc54581080585c37c84bd52dc789e6e25c9a1782f82cd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:10.936009Z","signature_b64":"9TE/Uk9FZ2Cbx8ha+pXyQQzCLDaIvF8o0eRxK6OOC0BtuypuovIPcE/tWof6h3lfPaKegoWLzeZrcSGiT+WPDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"71e86331919b806e5fdcc54581080585c37c84bd52dc789e6e25c9a1782f82cd","last_reissued_at":"2026-05-18T01:35:10.935482Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:10.935482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.03045","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:35:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RHmleb2ec0uGxFQoC0cnFWGutwU9N6jIdA/8Xiq+Fypse15CfsmLXRXetBzG5g5eIgkwCYjs0M0gD5DWiBOVCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T20:43:05.472029Z"},"content_sha256":"d29d217d30069d88afa17c4943d009aea7246b23e425fe23950fc370e6abbc09","schema_version":"1.0","event_id":"sha256:d29d217d30069d88afa17c4943d009aea7246b23e425fe23950fc370e6abbc09"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:OHUGGMMRTOAG4X64YVCYCCAFQX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"BEST statistics of Markovian fluxes: a tale of Eulerian tours and Fermionic ghosts","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Matteo Polettini","submitted_at":"2015-03-10T19:32:59Z","abstract_excerpt":"We provide an exact expression for the statistics of the fluxes of Markov jump processes at all times, improving on asymptotic results from large deviation theory. The main ingredient is a generalization of the BEST theorem in enumeratoric graph theory to Eulerian tours with open ends. In the long-time limit we reobtain Sanov's theorem for Markov processes, which expresses the exponential suppression of fluctuations in terms of relative entropy. The finite-time power-law term, increasingly important with the system size, is a spanning-tree determinant that, by introducing Grassmann variables, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.03045","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T01:35:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ru0I1nz2+52Mt9L5qj3sCpzqeblN91SAFFHruO62xZIYgEVaq/qyFF8MmAA6rPHEBOFBNZKb4JlDe5NCjbyeAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T20:43:05.472684Z"},"content_sha256":"a02a7c717496df99c2b851600fba6d438be9e76b80b49e9cbd7deb1242c30757","schema_version":"1.0","event_id":"sha256:a02a7c717496df99c2b851600fba6d438be9e76b80b49e9cbd7deb1242c30757"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OHUGGMMRTOAG4X64YVCYCCAFQX/bundle.json","state_url":"https://pith.science/pith/OHUGGMMRTOAG4X64YVCYCCAFQX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OHUGGMMRTOAG4X64YVCYCCAFQX/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":"2026-06-07T20:43:05Z","links":{"resolver":"https://pith.science/pith/OHUGGMMRTOAG4X64YVCYCCAFQX","bundle":"https://pith.science/pith/OHUGGMMRTOAG4X64YVCYCCAFQX/bundle.json","state":"https://pith.science/pith/OHUGGMMRTOAG4X64YVCYCCAFQX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OHUGGMMRTOAG4X64YVCYCCAFQX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:OHUGGMMRTOAG4X64YVCYCCAFQX","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":"534eb2584d91355d382020065ca2520e12acd7a48ff86d7fc8153c0e5d60b51a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-03-10T19:32:59Z","title_canon_sha256":"4fbdc55b50279443b5bbed814185bbd4647ee7c82949ddfa23d51f01896972a1"},"schema_version":"1.0","source":{"id":"1503.03045","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.03045","created_at":"2026-05-18T01:35:10Z"},{"alias_kind":"arxiv_version","alias_value":"1503.03045v2","created_at":"2026-05-18T01:35:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.03045","created_at":"2026-05-18T01:35:10Z"},{"alias_kind":"pith_short_12","alias_value":"OHUGGMMRTOAG","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OHUGGMMRTOAG4X64","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OHUGGMMR","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:a02a7c717496df99c2b851600fba6d438be9e76b80b49e9cbd7deb1242c30757","target":"graph","created_at":"2026-05-18T01:35:10Z","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 provide an exact expression for the statistics of the fluxes of Markov jump processes at all times, improving on asymptotic results from large deviation theory. The main ingredient is a generalization of the BEST theorem in enumeratoric graph theory to Eulerian tours with open ends. In the long-time limit we reobtain Sanov's theorem for Markov processes, which expresses the exponential suppression of fluctuations in terms of relative entropy. The finite-time power-law term, increasingly important with the system size, is a spanning-tree determinant that, by introducing Grassmann variables, ","authors_text":"Matteo Polettini","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-03-10T19:32:59Z","title":"BEST statistics of Markovian fluxes: a tale of Eulerian tours and Fermionic ghosts"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.03045","kind":"arxiv","version":2},"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:d29d217d30069d88afa17c4943d009aea7246b23e425fe23950fc370e6abbc09","target":"record","created_at":"2026-05-18T01:35:10Z","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":"534eb2584d91355d382020065ca2520e12acd7a48ff86d7fc8153c0e5d60b51a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-03-10T19:32:59Z","title_canon_sha256":"4fbdc55b50279443b5bbed814185bbd4647ee7c82949ddfa23d51f01896972a1"},"schema_version":"1.0","source":{"id":"1503.03045","kind":"arxiv","version":2}},"canonical_sha256":"71e86331919b806e5fdcc54581080585c37c84bd52dc789e6e25c9a1782f82cd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"71e86331919b806e5fdcc54581080585c37c84bd52dc789e6e25c9a1782f82cd","first_computed_at":"2026-05-18T01:35:10.935482Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:10.935482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9TE/Uk9FZ2Cbx8ha+pXyQQzCLDaIvF8o0eRxK6OOC0BtuypuovIPcE/tWof6h3lfPaKegoWLzeZrcSGiT+WPDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:10.936009Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.03045","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d29d217d30069d88afa17c4943d009aea7246b23e425fe23950fc370e6abbc09","sha256:a02a7c717496df99c2b851600fba6d438be9e76b80b49e9cbd7deb1242c30757"],"state_sha256":"6f574a1d13960d1c464d27b42ed240d4181ab538656cf9a2d892eac49917b63f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y0V6ALRLtkh5Wr8IR3aXjtnXqnAhJP6hGwtj4R2BkDRMwQkTuYdEBzttrhnIwmsJo7/2nI/8jW0vjt7jYhGVCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T20:43:05.476242Z","bundle_sha256":"43a89391f86958b926c34150a0fb7e4c9eadeb7938276066346c17a3fa7d2e02"}}