{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:I7U6V2XO6R2CNEOB7SQZAPJKEI","short_pith_number":"pith:I7U6V2XO","canonical_record":{"source":{"id":"1712.02611","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-12-07T13:29:53Z","cross_cats_sorted":[],"title_canon_sha256":"0a220f64e4e2e75c565d38ece91dd86280aec99c2947a3c7c8d691d734a99ad4","abstract_canon_sha256":"8a2d79ffb52a0da7c19fb6833b56ab2f3bdcc8e9d36b1432bfd5ef01044e5750"},"schema_version":"1.0"},"canonical_sha256":"47e9eaeaeef4742691c1fca1903d2a222561491910235b0a390295c54fcded5a","source":{"kind":"arxiv","id":"1712.02611","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.02611","created_at":"2026-05-18T00:20:38Z"},{"alias_kind":"arxiv_version","alias_value":"1712.02611v1","created_at":"2026-05-18T00:20:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.02611","created_at":"2026-05-18T00:20:38Z"},{"alias_kind":"pith_short_12","alias_value":"I7U6V2XO6R2C","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"I7U6V2XO6R2CNEOB","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"I7U6V2XO","created_at":"2026-05-18T12:31:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:I7U6V2XO6R2CNEOB7SQZAPJKEI","target":"record","payload":{"canonical_record":{"source":{"id":"1712.02611","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-12-07T13:29:53Z","cross_cats_sorted":[],"title_canon_sha256":"0a220f64e4e2e75c565d38ece91dd86280aec99c2947a3c7c8d691d734a99ad4","abstract_canon_sha256":"8a2d79ffb52a0da7c19fb6833b56ab2f3bdcc8e9d36b1432bfd5ef01044e5750"},"schema_version":"1.0"},"canonical_sha256":"47e9eaeaeef4742691c1fca1903d2a222561491910235b0a390295c54fcded5a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:38.086934Z","signature_b64":"T/vJ5j7CVxzXyKlXJoMtiuOOXKFuL9iBZXHt24tNm0WFZMxawfb8uhvvffxkVIraxQvR2VCENvo/AajryZf0Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"47e9eaeaeef4742691c1fca1903d2a222561491910235b0a390295c54fcded5a","last_reissued_at":"2026-05-18T00:20:38.086149Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:38.086149Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.02611","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":"2026-05-18T00:20:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B1TOFvU3Ml8QwQCu949JkNU5EYvT/JTVedfqZe1qj39kQYmKA8qIcfTpTkJpML9Pz0ry4SV3ZyfIPt50iVVNAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T15:00:14.311655Z"},"content_sha256":"96e6d349e79d7a02e39b71c8420a1ad95ca615418c2be94247d7e3e3dffb36b5","schema_version":"1.0","event_id":"sha256:96e6d349e79d7a02e39b71c8420a1ad95ca615418c2be94247d7e3e3dffb36b5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:I7U6V2XO6R2CNEOB7SQZAPJKEI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the mixing time in the Wang-Landau algorithm","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Lev N. Shchur, Marina Fadeeva","submitted_at":"2017-12-07T13:29:53Z","abstract_excerpt":"We present preliminary results of the investigation of the properties of the Markov random walk in the energy space generated by the Wang-Landau probability. We build transition matrix in the energy space (TMES) using the exact density of states for one-dimensional and two-dimensional Ising models. The spectral gap of TMES is inversely proportional to the mixing time of the Markov chain. We estimate numerically the dependence of the mixing time on the lattice size, and extract the mixing exponent."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.02611","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":""},"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":"2026-05-18T00:20:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"icjDZetghztVM0tvqFxLhs8xe/XgKL9qzz6xdUYWvWMRpK6sah1FrPs1K/p1QAJHEHGGQb6ZjmTWuU76eJPDBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T15:00:14.312008Z"},"content_sha256":"afc2899865a187a26ab784a79dbcd66f660d3edb1a505ccc9cbab11e0873bae6","schema_version":"1.0","event_id":"sha256:afc2899865a187a26ab784a79dbcd66f660d3edb1a505ccc9cbab11e0873bae6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I7U6V2XO6R2CNEOB7SQZAPJKEI/bundle.json","state_url":"https://pith.science/pith/I7U6V2XO6R2CNEOB7SQZAPJKEI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I7U6V2XO6R2CNEOB7SQZAPJKEI/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":"2026-06-22T15:00:14Z","links":{"resolver":"https://pith.science/pith/I7U6V2XO6R2CNEOB7SQZAPJKEI","bundle":"https://pith.science/pith/I7U6V2XO6R2CNEOB7SQZAPJKEI/bundle.json","state":"https://pith.science/pith/I7U6V2XO6R2CNEOB7SQZAPJKEI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I7U6V2XO6R2CNEOB7SQZAPJKEI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:I7U6V2XO6R2CNEOB7SQZAPJKEI","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":"8a2d79ffb52a0da7c19fb6833b56ab2f3bdcc8e9d36b1432bfd5ef01044e5750","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-12-07T13:29:53Z","title_canon_sha256":"0a220f64e4e2e75c565d38ece91dd86280aec99c2947a3c7c8d691d734a99ad4"},"schema_version":"1.0","source":{"id":"1712.02611","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.02611","created_at":"2026-05-18T00:20:38Z"},{"alias_kind":"arxiv_version","alias_value":"1712.02611v1","created_at":"2026-05-18T00:20:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.02611","created_at":"2026-05-18T00:20:38Z"},{"alias_kind":"pith_short_12","alias_value":"I7U6V2XO6R2C","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"I7U6V2XO6R2CNEOB","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"I7U6V2XO","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:afc2899865a187a26ab784a79dbcd66f660d3edb1a505ccc9cbab11e0873bae6","target":"graph","created_at":"2026-05-18T00:20:38Z","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 present preliminary results of the investigation of the properties of the Markov random walk in the energy space generated by the Wang-Landau probability. We build transition matrix in the energy space (TMES) using the exact density of states for one-dimensional and two-dimensional Ising models. The spectral gap of TMES is inversely proportional to the mixing time of the Markov chain. We estimate numerically the dependence of the mixing time on the lattice size, and extract the mixing exponent.","authors_text":"Lev N. Shchur, Marina Fadeeva","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-12-07T13:29:53Z","title":"On the mixing time in the Wang-Landau algorithm"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.02611","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":"sha256:96e6d349e79d7a02e39b71c8420a1ad95ca615418c2be94247d7e3e3dffb36b5","target":"record","created_at":"2026-05-18T00:20:38Z","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":"8a2d79ffb52a0da7c19fb6833b56ab2f3bdcc8e9d36b1432bfd5ef01044e5750","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-12-07T13:29:53Z","title_canon_sha256":"0a220f64e4e2e75c565d38ece91dd86280aec99c2947a3c7c8d691d734a99ad4"},"schema_version":"1.0","source":{"id":"1712.02611","kind":"arxiv","version":1}},"canonical_sha256":"47e9eaeaeef4742691c1fca1903d2a222561491910235b0a390295c54fcded5a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"47e9eaeaeef4742691c1fca1903d2a222561491910235b0a390295c54fcded5a","first_computed_at":"2026-05-18T00:20:38.086149Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:38.086149Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T/vJ5j7CVxzXyKlXJoMtiuOOXKFuL9iBZXHt24tNm0WFZMxawfb8uhvvffxkVIraxQvR2VCENvo/AajryZf0Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:38.086934Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.02611","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:96e6d349e79d7a02e39b71c8420a1ad95ca615418c2be94247d7e3e3dffb36b5","sha256:afc2899865a187a26ab784a79dbcd66f660d3edb1a505ccc9cbab11e0873bae6"],"state_sha256":"d6a5de22b0164c3d5ddadfd5828cb6e6c54daf68d477f388ab031af71afd91a1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JKqLx14jXLvDKmkQr+RPXpMUcJ3g4L9B7vBEjt9a9ymqNKNXxxmFVsMwoGhmmk7RLw2uKGBEmh1ufYOsGYZwAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T15:00:14.314040Z","bundle_sha256":"93f51c2540462d57d6172018b17798c986013f6235eb27db38d7eb461a49d624"}}