{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:6YDHLUKMJ3CDMHIBS6PKI35O2H","short_pith_number":"pith:6YDHLUKM","canonical_record":{"source":{"id":"1605.08301","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2016-05-26T14:37:12Z","cross_cats_sorted":[],"title_canon_sha256":"253f965a937735c353c5fc1e240040649633a30a4f4c16fcb72f05feb65ff1e8","abstract_canon_sha256":"54efd71efe827e4a7e63ae4342d2d76df7ba2a4882a373cf93f1ba8ae94171f4"},"schema_version":"1.0"},"canonical_sha256":"f60675d14c4ec4361d01979ea46faed1cc36e585ab371d7c3bc0a4fd4be0421f","source":{"kind":"arxiv","id":"1605.08301","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.08301","created_at":"2026-05-18T00:51:48Z"},{"alias_kind":"arxiv_version","alias_value":"1605.08301v2","created_at":"2026-05-18T00:51:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.08301","created_at":"2026-05-18T00:51:48Z"},{"alias_kind":"pith_short_12","alias_value":"6YDHLUKMJ3CD","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"6YDHLUKMJ3CDMHIB","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"6YDHLUKM","created_at":"2026-05-18T12:30:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:6YDHLUKMJ3CDMHIBS6PKI35O2H","target":"record","payload":{"canonical_record":{"source":{"id":"1605.08301","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2016-05-26T14:37:12Z","cross_cats_sorted":[],"title_canon_sha256":"253f965a937735c353c5fc1e240040649633a30a4f4c16fcb72f05feb65ff1e8","abstract_canon_sha256":"54efd71efe827e4a7e63ae4342d2d76df7ba2a4882a373cf93f1ba8ae94171f4"},"schema_version":"1.0"},"canonical_sha256":"f60675d14c4ec4361d01979ea46faed1cc36e585ab371d7c3bc0a4fd4be0421f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:48.857480Z","signature_b64":"7/QUDE28vuMKmXWJ2l0gjKt1989dbS5UQoN/arw2v+q8svaHBvV7pP3Ilg+03IaTlh4CjUoj5Uy/tz+HswksBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f60675d14c4ec4361d01979ea46faed1cc36e585ab371d7c3bc0a4fd4be0421f","last_reissued_at":"2026-05-18T00:51:48.856875Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:48.856875Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.08301","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":"2026-05-18T00:51:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gNcrt9axyBlUPXxQwdI6JhqlZAtYMsWJVZZPDliDyy2QFzKBffpglxE7Xoi1A5sM8OPAMDRfXidGZU5Tx7pCBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T08:50:34.318149Z"},"content_sha256":"7e83896d95e3532bdacde5dbc9574cae0d7e5629102cb9904f3f8a0fa0d69e16","schema_version":"1.0","event_id":"sha256:7e83896d95e3532bdacde5dbc9574cae0d7e5629102cb9904f3f8a0fa0d69e16"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:6YDHLUKMJ3CDMHIBS6PKI35O2H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Predictive Coarse-Graining","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ML","authors_text":"Markus Sch\\\"oberl, Nicholas Zabaras, Phaedon-Stelios Koutsourelakis","submitted_at":"2016-05-26T14:37:12Z","abstract_excerpt":"We propose a data-driven, coarse-graining formulation in the context of equilibrium statistical mechanics. In contrast to existing techniques which are based on a fine-to-coarse map, we adopt the opposite strategy by prescribing a probabilistic coarse-to-fine map. This corresponds to a directed probabilistic model where the coarse variables play the role of latent generators of the fine scale (all-atom) data. From an information-theoretic perspective, the framework proposed provides an improvement upon the relative entropy method and is capable of quantifying the uncertainty due to the informa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.08301","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":"2026-05-18T00:51:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3rWCfA2xmKiJ519o2G9mTPoH0PorHbgUnfr0azFkMDxlwmZa7Qn2V6IruHc/FK1+AX9QoeGkv1DZIMjAv51jBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T08:50:34.318878Z"},"content_sha256":"f8a69902a27ff4c63f1d552d8a3a58f5204ff67bf74c433a1b959187c2035339","schema_version":"1.0","event_id":"sha256:f8a69902a27ff4c63f1d552d8a3a58f5204ff67bf74c433a1b959187c2035339"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6YDHLUKMJ3CDMHIBS6PKI35O2H/bundle.json","state_url":"https://pith.science/pith/6YDHLUKMJ3CDMHIBS6PKI35O2H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6YDHLUKMJ3CDMHIBS6PKI35O2H/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":"2026-06-09T08:50:34Z","links":{"resolver":"https://pith.science/pith/6YDHLUKMJ3CDMHIBS6PKI35O2H","bundle":"https://pith.science/pith/6YDHLUKMJ3CDMHIBS6PKI35O2H/bundle.json","state":"https://pith.science/pith/6YDHLUKMJ3CDMHIBS6PKI35O2H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6YDHLUKMJ3CDMHIBS6PKI35O2H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:6YDHLUKMJ3CDMHIBS6PKI35O2H","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":"54efd71efe827e4a7e63ae4342d2d76df7ba2a4882a373cf93f1ba8ae94171f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2016-05-26T14:37:12Z","title_canon_sha256":"253f965a937735c353c5fc1e240040649633a30a4f4c16fcb72f05feb65ff1e8"},"schema_version":"1.0","source":{"id":"1605.08301","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.08301","created_at":"2026-05-18T00:51:48Z"},{"alias_kind":"arxiv_version","alias_value":"1605.08301v2","created_at":"2026-05-18T00:51:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.08301","created_at":"2026-05-18T00:51:48Z"},{"alias_kind":"pith_short_12","alias_value":"6YDHLUKMJ3CD","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"6YDHLUKMJ3CDMHIB","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"6YDHLUKM","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:f8a69902a27ff4c63f1d552d8a3a58f5204ff67bf74c433a1b959187c2035339","target":"graph","created_at":"2026-05-18T00:51:48Z","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 propose a data-driven, coarse-graining formulation in the context of equilibrium statistical mechanics. In contrast to existing techniques which are based on a fine-to-coarse map, we adopt the opposite strategy by prescribing a probabilistic coarse-to-fine map. This corresponds to a directed probabilistic model where the coarse variables play the role of latent generators of the fine scale (all-atom) data. From an information-theoretic perspective, the framework proposed provides an improvement upon the relative entropy method and is capable of quantifying the uncertainty due to the informa","authors_text":"Markus Sch\\\"oberl, Nicholas Zabaras, Phaedon-Stelios Koutsourelakis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2016-05-26T14:37:12Z","title":"Predictive Coarse-Graining"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.08301","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":"sha256:7e83896d95e3532bdacde5dbc9574cae0d7e5629102cb9904f3f8a0fa0d69e16","target":"record","created_at":"2026-05-18T00:51:48Z","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":"54efd71efe827e4a7e63ae4342d2d76df7ba2a4882a373cf93f1ba8ae94171f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2016-05-26T14:37:12Z","title_canon_sha256":"253f965a937735c353c5fc1e240040649633a30a4f4c16fcb72f05feb65ff1e8"},"schema_version":"1.0","source":{"id":"1605.08301","kind":"arxiv","version":2}},"canonical_sha256":"f60675d14c4ec4361d01979ea46faed1cc36e585ab371d7c3bc0a4fd4be0421f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f60675d14c4ec4361d01979ea46faed1cc36e585ab371d7c3bc0a4fd4be0421f","first_computed_at":"2026-05-18T00:51:48.856875Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:48.856875Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7/QUDE28vuMKmXWJ2l0gjKt1989dbS5UQoN/arw2v+q8svaHBvV7pP3Ilg+03IaTlh4CjUoj5Uy/tz+HswksBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:48.857480Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.08301","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7e83896d95e3532bdacde5dbc9574cae0d7e5629102cb9904f3f8a0fa0d69e16","sha256:f8a69902a27ff4c63f1d552d8a3a58f5204ff67bf74c433a1b959187c2035339"],"state_sha256":"5aeb05b453030c3d538fa9d957c5b8dfe4f04fc0734f0148f758e77cff6cfb6c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"buwG20a85Dk7ApETR+oIA+cT/TSpYMV5iKMT2UK6Tu9WMgL5QCVqkvcUCJu4e2X8xczNEPWnOHqhQ70egXFyBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T08:50:34.323341Z","bundle_sha256":"7541ca5c483b7bc784f983b9b17c1c2036251c426d63f9279be9349cf1611e9f"}}