{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:ZAZ4QZG6OJPQOYH2MMVYMWPCYI","short_pith_number":"pith:ZAZ4QZG6","canonical_record":{"source":{"id":"0906.0858","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-06-04T09:08:03Z","cross_cats_sorted":[],"title_canon_sha256":"43efa58d4070661f4fbf2c0914c9b2303f730e59f072de5c97dfa1e2fc3c093b","abstract_canon_sha256":"5c3033f0148413baa9752abde9f05d7e929f17e0212a9e7f5aa9aa8e8013d234"},"schema_version":"1.0"},"canonical_sha256":"c833c864de725f0760fa632b8659e2c20b89e28df034a6052848449c1e60ef76","source":{"kind":"arxiv","id":"0906.0858","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.0858","created_at":"2026-07-04T17:18:43Z"},{"alias_kind":"arxiv_version","alias_value":"0906.0858v1","created_at":"2026-07-04T17:18:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.0858","created_at":"2026-07-04T17:18:43Z"},{"alias_kind":"pith_short_12","alias_value":"ZAZ4QZG6OJPQ","created_at":"2026-07-04T17:18:43Z"},{"alias_kind":"pith_short_16","alias_value":"ZAZ4QZG6OJPQOYH2","created_at":"2026-07-04T17:18:43Z"},{"alias_kind":"pith_short_8","alias_value":"ZAZ4QZG6","created_at":"2026-07-04T17:18:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:ZAZ4QZG6OJPQOYH2MMVYMWPCYI","target":"record","payload":{"canonical_record":{"source":{"id":"0906.0858","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-06-04T09:08:03Z","cross_cats_sorted":[],"title_canon_sha256":"43efa58d4070661f4fbf2c0914c9b2303f730e59f072de5c97dfa1e2fc3c093b","abstract_canon_sha256":"5c3033f0148413baa9752abde9f05d7e929f17e0212a9e7f5aa9aa8e8013d234"},"schema_version":"1.0"},"canonical_sha256":"c833c864de725f0760fa632b8659e2c20b89e28df034a6052848449c1e60ef76","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:18:43.045302Z","signature_b64":"HvKffnhclHbyq3UAK4mtDIWodljXO+T2xjxAQIuUcCjgjfTtHP18+IYZTcNEJgTZA6n+tD+QoPETTVoFg4vHDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c833c864de725f0760fa632b8659e2c20b89e28df034a6052848449c1e60ef76","last_reissued_at":"2026-07-04T17:18:43.044907Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:18:43.044907Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0906.0858","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T17:18:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q/epX9cMYAtoecorAfuj3HJqqFrETxm9MSkRK2/6XZ5xkbKFVvrV3J2ORvZczoXLH07emp17Aqe6xxTLSZ+nAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T19:43:55.650361Z"},"content_sha256":"5aed25fe9d9c788b839a5dab8d16f31a8a2e9747c1d9fa2426d64ddfa96b6a01","schema_version":"1.0","event_id":"sha256:5aed25fe9d9c788b839a5dab8d16f31a8a2e9747c1d9fa2426d64ddfa96b6a01"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:ZAZ4QZG6OJPQOYH2MMVYMWPCYI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Monte Carlo methods in statistical physics: Mathematical foundations and strategies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Michael Kastner","submitted_at":"2009-06-04T09:08:03Z","abstract_excerpt":"Monte Carlo is a versatile and frequently used tool in statistical physics and beyond. Correspondingly, the number of algorithms and variants reported in the literature is vast, and an overview is not easy to achieve. In this pedagogical review, we start by presenting the probabilistic concepts which are at the basis of the Monte Carlo method. From these concepts the relevant free parameters--which still may be adjusted--are identified. Having identified these parameters, most of the tangled mass of methods and algorithms in statistical physics Monte Carlo can be regarded as realizations of me"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.0858","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0906.0858/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T17:18:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zpwZuNAgz+ggqNXnyynXvOiv/hknLV6R28djszSReiijSn58q7MMo8caFZlVVMvN2sR6He7c03P3NuZ5zcE7Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T19:43:55.650767Z"},"content_sha256":"3e1858c1fcc8656a4dc9d13ad7a5a6fa601655eacda1652d5b3102ced4e58940","schema_version":"1.0","event_id":"sha256:3e1858c1fcc8656a4dc9d13ad7a5a6fa601655eacda1652d5b3102ced4e58940"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZAZ4QZG6OJPQOYH2MMVYMWPCYI/bundle.json","state_url":"https://pith.science/pith/ZAZ4QZG6OJPQOYH2MMVYMWPCYI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZAZ4QZG6OJPQOYH2MMVYMWPCYI/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":"2026-07-04T19:43:55Z","links":{"resolver":"https://pith.science/pith/ZAZ4QZG6OJPQOYH2MMVYMWPCYI","bundle":"https://pith.science/pith/ZAZ4QZG6OJPQOYH2MMVYMWPCYI/bundle.json","state":"https://pith.science/pith/ZAZ4QZG6OJPQOYH2MMVYMWPCYI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZAZ4QZG6OJPQOYH2MMVYMWPCYI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:ZAZ4QZG6OJPQOYH2MMVYMWPCYI","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":"5c3033f0148413baa9752abde9f05d7e929f17e0212a9e7f5aa9aa8e8013d234","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-06-04T09:08:03Z","title_canon_sha256":"43efa58d4070661f4fbf2c0914c9b2303f730e59f072de5c97dfa1e2fc3c093b"},"schema_version":"1.0","source":{"id":"0906.0858","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.0858","created_at":"2026-07-04T17:18:43Z"},{"alias_kind":"arxiv_version","alias_value":"0906.0858v1","created_at":"2026-07-04T17:18:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.0858","created_at":"2026-07-04T17:18:43Z"},{"alias_kind":"pith_short_12","alias_value":"ZAZ4QZG6OJPQ","created_at":"2026-07-04T17:18:43Z"},{"alias_kind":"pith_short_16","alias_value":"ZAZ4QZG6OJPQOYH2","created_at":"2026-07-04T17:18:43Z"},{"alias_kind":"pith_short_8","alias_value":"ZAZ4QZG6","created_at":"2026-07-04T17:18:43Z"}],"graph_snapshots":[{"event_id":"sha256:3e1858c1fcc8656a4dc9d13ad7a5a6fa601655eacda1652d5b3102ced4e58940","target":"graph","created_at":"2026-07-04T17:18:43Z","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/0906.0858/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Monte Carlo is a versatile and frequently used tool in statistical physics and beyond. Correspondingly, the number of algorithms and variants reported in the literature is vast, and an overview is not easy to achieve. In this pedagogical review, we start by presenting the probabilistic concepts which are at the basis of the Monte Carlo method. From these concepts the relevant free parameters--which still may be adjusted--are identified. Having identified these parameters, most of the tangled mass of methods and algorithms in statistical physics Monte Carlo can be regarded as realizations of me","authors_text":"Michael Kastner","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-06-04T09:08:03Z","title":"Monte Carlo methods in statistical physics: Mathematical foundations and strategies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.0858","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":"sha256:5aed25fe9d9c788b839a5dab8d16f31a8a2e9747c1d9fa2426d64ddfa96b6a01","target":"record","created_at":"2026-07-04T17:18:43Z","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":"5c3033f0148413baa9752abde9f05d7e929f17e0212a9e7f5aa9aa8e8013d234","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-06-04T09:08:03Z","title_canon_sha256":"43efa58d4070661f4fbf2c0914c9b2303f730e59f072de5c97dfa1e2fc3c093b"},"schema_version":"1.0","source":{"id":"0906.0858","kind":"arxiv","version":1}},"canonical_sha256":"c833c864de725f0760fa632b8659e2c20b89e28df034a6052848449c1e60ef76","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c833c864de725f0760fa632b8659e2c20b89e28df034a6052848449c1e60ef76","first_computed_at":"2026-07-04T17:18:43.044907Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:18:43.044907Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HvKffnhclHbyq3UAK4mtDIWodljXO+T2xjxAQIuUcCjgjfTtHP18+IYZTcNEJgTZA6n+tD+QoPETTVoFg4vHDg==","signature_status":"signed_v1","signed_at":"2026-07-04T17:18:43.045302Z","signed_message":"canonical_sha256_bytes"},"source_id":"0906.0858","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5aed25fe9d9c788b839a5dab8d16f31a8a2e9747c1d9fa2426d64ddfa96b6a01","sha256:3e1858c1fcc8656a4dc9d13ad7a5a6fa601655eacda1652d5b3102ced4e58940"],"state_sha256":"c543a4a38e7867c1d7d20be6cf7725efe34538c87730f0fc9cfdbc3e5f95e137"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v4dGoYIEwr4ak+ROlzti41fXWZx+ArTVzi2+KFYPV3vqIyzz3b/q6KAiEkxzy8urCrVwoF8A2WROHBi/bTjbDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T19:43:55.653290Z","bundle_sha256":"986ffb9425149ed658843efd9b49e1332986788e600b3c5f9077e9957dec35d3"}}