{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:NL5XX2XPOCTVM2LXE7OC46TPNZ","short_pith_number":"pith:NL5XX2XP","canonical_record":{"source":{"id":"1006.4914","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-06-25T06:11:46Z","cross_cats_sorted":[],"title_canon_sha256":"44852ffb8b6a199a970ccfef8ad0af4d1541f1ffdc14dc4b1fedb49f838fbec8","abstract_canon_sha256":"b849f84a0b00945832928ad81f7decdcc03f9aaa400ed53974efa225c2c7500b"},"schema_version":"1.0"},"canonical_sha256":"6afb7beaef70a756697727dc2e7a6f6e78df4859014fc33fb8ed1054a3757a40","source":{"kind":"arxiv","id":"1006.4914","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.4914","created_at":"2026-05-18T04:24:06Z"},{"alias_kind":"arxiv_version","alias_value":"1006.4914v2","created_at":"2026-05-18T04:24:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.4914","created_at":"2026-05-18T04:24:06Z"},{"alias_kind":"pith_short_12","alias_value":"NL5XX2XPOCTV","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"NL5XX2XPOCTVM2LX","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"NL5XX2XP","created_at":"2026-05-18T12:26:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:NL5XX2XPOCTVM2LXE7OC46TPNZ","target":"record","payload":{"canonical_record":{"source":{"id":"1006.4914","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-06-25T06:11:46Z","cross_cats_sorted":[],"title_canon_sha256":"44852ffb8b6a199a970ccfef8ad0af4d1541f1ffdc14dc4b1fedb49f838fbec8","abstract_canon_sha256":"b849f84a0b00945832928ad81f7decdcc03f9aaa400ed53974efa225c2c7500b"},"schema_version":"1.0"},"canonical_sha256":"6afb7beaef70a756697727dc2e7a6f6e78df4859014fc33fb8ed1054a3757a40","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:24:06.253931Z","signature_b64":"CZ75F3HtHh0alIvD2sQhEJ8rvgW/byzXc5GbZ/FrEw9XOdGV8MR/JteRmJxj12i+f99FeQsdcI4i89oEqnSGAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6afb7beaef70a756697727dc2e7a6f6e78df4859014fc33fb8ed1054a3757a40","last_reissued_at":"2026-05-18T04:24:06.253350Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:24:06.253350Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1006.4914","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":"2026-05-18T04:24:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pkzvVrxdVZ6wLvjvT4YXMopSbPApqM2HWFTlxHIdB4MubfKQsKJ4exQqNwLTPXdMbTj7TkzV2u68Uot83y3yCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T00:49:09.146848Z"},"content_sha256":"ecd5d90d4158ec651f1f8c853e4cf72844c606da71bd7652f41e9dba7f5894bf","schema_version":"1.0","event_id":"sha256:ecd5d90d4158ec651f1f8c853e4cf72844c606da71bd7652f41e9dba7f5894bf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:NL5XX2XPOCTVM2LXE7OC46TPNZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Langevin dynamics with constraints and computation of free energy differences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Ecole des Ponts, Gabriel Stoltz (CERMICS, INRIA Rocquencourt), Mathias Rousset (INRIA Lille), Tony Lelievre (CERMICS","submitted_at":"2010-06-25T06:11:46Z","abstract_excerpt":"In this paper, we consider Langevin processes with mechanical constraints. The latter are a fundamental tool in molecular dynamics simulation for sampling purposes and for the computation of free energy differences. The results of this paper can be divided into three parts. (i) We propose a simple discretization of the constrained Langevin process based on a standard splitting strategy. We show how to correct the scheme so that it samples {\\em exactly} the canonical measure restricted on a submanifold, using a Metropolis rule in the spirit of the Generalized Hybrid Monte Carlo (GHMC) algorithm"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.4914","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":"2026-05-18T04:24:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZobqoQq6yvxoWpcx5kqwSjwpbhuQM7BQkKpUrrUUFGqmbQBQQprojxqqAfgRqZziBQD2GMjzocXcoBWor+BHBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T00:49:09.147529Z"},"content_sha256":"5a9d9ce87879ef548605554361f2416e2c7dd55eceea8596397aee78a1a6d757","schema_version":"1.0","event_id":"sha256:5a9d9ce87879ef548605554361f2416e2c7dd55eceea8596397aee78a1a6d757"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NL5XX2XPOCTVM2LXE7OC46TPNZ/bundle.json","state_url":"https://pith.science/pith/NL5XX2XPOCTVM2LXE7OC46TPNZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NL5XX2XPOCTVM2LXE7OC46TPNZ/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":"2026-05-24T00:49:09Z","links":{"resolver":"https://pith.science/pith/NL5XX2XPOCTVM2LXE7OC46TPNZ","bundle":"https://pith.science/pith/NL5XX2XPOCTVM2LXE7OC46TPNZ/bundle.json","state":"https://pith.science/pith/NL5XX2XPOCTVM2LXE7OC46TPNZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NL5XX2XPOCTVM2LXE7OC46TPNZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:NL5XX2XPOCTVM2LXE7OC46TPNZ","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":"b849f84a0b00945832928ad81f7decdcc03f9aaa400ed53974efa225c2c7500b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-06-25T06:11:46Z","title_canon_sha256":"44852ffb8b6a199a970ccfef8ad0af4d1541f1ffdc14dc4b1fedb49f838fbec8"},"schema_version":"1.0","source":{"id":"1006.4914","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.4914","created_at":"2026-05-18T04:24:06Z"},{"alias_kind":"arxiv_version","alias_value":"1006.4914v2","created_at":"2026-05-18T04:24:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.4914","created_at":"2026-05-18T04:24:06Z"},{"alias_kind":"pith_short_12","alias_value":"NL5XX2XPOCTV","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"NL5XX2XPOCTVM2LX","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"NL5XX2XP","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:5a9d9ce87879ef548605554361f2416e2c7dd55eceea8596397aee78a1a6d757","target":"graph","created_at":"2026-05-18T04:24:06Z","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":"In this paper, we consider Langevin processes with mechanical constraints. The latter are a fundamental tool in molecular dynamics simulation for sampling purposes and for the computation of free energy differences. The results of this paper can be divided into three parts. (i) We propose a simple discretization of the constrained Langevin process based on a standard splitting strategy. We show how to correct the scheme so that it samples {\\em exactly} the canonical measure restricted on a submanifold, using a Metropolis rule in the spirit of the Generalized Hybrid Monte Carlo (GHMC) algorithm","authors_text":"Ecole des Ponts, Gabriel Stoltz (CERMICS, INRIA Rocquencourt), Mathias Rousset (INRIA Lille), Tony Lelievre (CERMICS","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-06-25T06:11:46Z","title":"Langevin dynamics with constraints and computation of free energy differences"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.4914","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:ecd5d90d4158ec651f1f8c853e4cf72844c606da71bd7652f41e9dba7f5894bf","target":"record","created_at":"2026-05-18T04:24:06Z","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":"b849f84a0b00945832928ad81f7decdcc03f9aaa400ed53974efa225c2c7500b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-06-25T06:11:46Z","title_canon_sha256":"44852ffb8b6a199a970ccfef8ad0af4d1541f1ffdc14dc4b1fedb49f838fbec8"},"schema_version":"1.0","source":{"id":"1006.4914","kind":"arxiv","version":2}},"canonical_sha256":"6afb7beaef70a756697727dc2e7a6f6e78df4859014fc33fb8ed1054a3757a40","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6afb7beaef70a756697727dc2e7a6f6e78df4859014fc33fb8ed1054a3757a40","first_computed_at":"2026-05-18T04:24:06.253350Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:24:06.253350Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CZ75F3HtHh0alIvD2sQhEJ8rvgW/byzXc5GbZ/FrEw9XOdGV8MR/JteRmJxj12i+f99FeQsdcI4i89oEqnSGAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:24:06.253931Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.4914","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ecd5d90d4158ec651f1f8c853e4cf72844c606da71bd7652f41e9dba7f5894bf","sha256:5a9d9ce87879ef548605554361f2416e2c7dd55eceea8596397aee78a1a6d757"],"state_sha256":"2816c0f97745a3ead0ba262c5bb6196304afbbde85d941cec15ea8f22128d517"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I7SLYj3R2ecbkdDnf9jNNnLxUYwun+fk5pH4hXasog4pH8bBF2V9f5tDwgyLA5iJkXRFLdNuVi4tMyYuWlBdDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T00:49:09.152554Z","bundle_sha256":"f999ffd6b81ba8e8bc22c3d95546b17abe7613165cade6d4f762e362c9bc13bd"}}