{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:ZHMPV5WLLMZCQBAOBFVHI62RHJ","short_pith_number":"pith:ZHMPV5WL","canonical_record":{"source":{"id":"1503.05927","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.BM","submitted_at":"2015-03-02T00:56:56Z","cross_cats_sorted":["q-bio.QM"],"title_canon_sha256":"a3e53168d0b73ad1589c13621cd4524d5ab27379a3a28fcfafafe93d8481c190","abstract_canon_sha256":"7d76dbd5a320d1980bc9bc49fb36ec5bd3e366899f385c30bc8089b2dc7f0fa9"},"schema_version":"1.0"},"canonical_sha256":"c9d8faf6cb5b3228040e096a747b513a63de8d0fd94a14129c4b096c07cb1d8d","source":{"kind":"arxiv","id":"1503.05927","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.05927","created_at":"2026-05-18T02:20:49Z"},{"alias_kind":"arxiv_version","alias_value":"1503.05927v1","created_at":"2026-05-18T02:20:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.05927","created_at":"2026-05-18T02:20:49Z"},{"alias_kind":"pith_short_12","alias_value":"ZHMPV5WLLMZC","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZHMPV5WLLMZCQBAO","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZHMPV5WL","created_at":"2026-05-18T12:29:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:ZHMPV5WLLMZCQBAOBFVHI62RHJ","target":"record","payload":{"canonical_record":{"source":{"id":"1503.05927","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.BM","submitted_at":"2015-03-02T00:56:56Z","cross_cats_sorted":["q-bio.QM"],"title_canon_sha256":"a3e53168d0b73ad1589c13621cd4524d5ab27379a3a28fcfafafe93d8481c190","abstract_canon_sha256":"7d76dbd5a320d1980bc9bc49fb36ec5bd3e366899f385c30bc8089b2dc7f0fa9"},"schema_version":"1.0"},"canonical_sha256":"c9d8faf6cb5b3228040e096a747b513a63de8d0fd94a14129c4b096c07cb1d8d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:20:49.093559Z","signature_b64":"kPg7fbH2Rq8vuwGbpIAkGXoOwP5yEEPW4pviTu2q68uvHWDpWpij6oTL7+OCbaFtLmdpw41DrVfnf+eWBsTTAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c9d8faf6cb5b3228040e096a747b513a63de8d0fd94a14129c4b096c07cb1d8d","last_reissued_at":"2026-05-18T02:20:49.093113Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:20:49.093113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.05927","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":"2026-05-18T02:20:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DIPzUKACjcsQ9/P/aHk4GDGI2ml4eEtqbUvEWLxmlyzvw5uIeAgOA+tw9j2JgvdlZIjMGX7tzapiRHmPlw+ODA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T23:14:28.385714Z"},"content_sha256":"dd84bc72e08041a0a8b7c56d9b7796d3a273f03606ed8730ba56273aa49f64a4","schema_version":"1.0","event_id":"sha256:dd84bc72e08041a0a8b7c56d9b7796d3a273f03606ed8730ba56273aa49f64a4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:ZHMPV5WLLMZCQBAOBFVHI62RHJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Correlation function based Gaussian network models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.QM"],"primary_cat":"q-bio.BM","authors_text":"Guo-Wei Wei, Kelin Xia, Kristopher Opron","submitted_at":"2015-03-02T00:56:56Z","abstract_excerpt":"Gaussian network model (GNM) is one of the most accurate and efficient methods for biomolecular flexibility analysis. However, the systematic generalization of the GNM has been elusive. We show that the GNM Kirchhoff matrix can be built from the ideal low-pass filter, which is a special case of a wide class of correlation functions underpinning the linear scaling flexibility-rigidity index (FRI) method. Based on the mathematical structure of correlation functions, we propose a unified framework to construct generalized Kirchhoff matrices whose matrix inverse leads to correlation function based"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.05927","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":"2026-05-18T02:20:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"el2CcLqOj84nWxUuJ/ZvBAxSyn0a13Sy5oQiW4IhusyVFM2t/J2VQYS1Ljnf2PVVZLHbFaWKawypQwYtUD60Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T23:14:28.386058Z"},"content_sha256":"65a6713a56818c21b1d116c9fdc2142668b252fb5946360c0f8bbc747c595132","schema_version":"1.0","event_id":"sha256:65a6713a56818c21b1d116c9fdc2142668b252fb5946360c0f8bbc747c595132"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZHMPV5WLLMZCQBAOBFVHI62RHJ/bundle.json","state_url":"https://pith.science/pith/ZHMPV5WLLMZCQBAOBFVHI62RHJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZHMPV5WLLMZCQBAOBFVHI62RHJ/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":"2026-06-08T23:14:28Z","links":{"resolver":"https://pith.science/pith/ZHMPV5WLLMZCQBAOBFVHI62RHJ","bundle":"https://pith.science/pith/ZHMPV5WLLMZCQBAOBFVHI62RHJ/bundle.json","state":"https://pith.science/pith/ZHMPV5WLLMZCQBAOBFVHI62RHJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZHMPV5WLLMZCQBAOBFVHI62RHJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ZHMPV5WLLMZCQBAOBFVHI62RHJ","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":"7d76dbd5a320d1980bc9bc49fb36ec5bd3e366899f385c30bc8089b2dc7f0fa9","cross_cats_sorted":["q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.BM","submitted_at":"2015-03-02T00:56:56Z","title_canon_sha256":"a3e53168d0b73ad1589c13621cd4524d5ab27379a3a28fcfafafe93d8481c190"},"schema_version":"1.0","source":{"id":"1503.05927","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.05927","created_at":"2026-05-18T02:20:49Z"},{"alias_kind":"arxiv_version","alias_value":"1503.05927v1","created_at":"2026-05-18T02:20:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.05927","created_at":"2026-05-18T02:20:49Z"},{"alias_kind":"pith_short_12","alias_value":"ZHMPV5WLLMZC","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZHMPV5WLLMZCQBAO","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZHMPV5WL","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:65a6713a56818c21b1d116c9fdc2142668b252fb5946360c0f8bbc747c595132","target":"graph","created_at":"2026-05-18T02:20:49Z","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":"Gaussian network model (GNM) is one of the most accurate and efficient methods for biomolecular flexibility analysis. However, the systematic generalization of the GNM has been elusive. We show that the GNM Kirchhoff matrix can be built from the ideal low-pass filter, which is a special case of a wide class of correlation functions underpinning the linear scaling flexibility-rigidity index (FRI) method. Based on the mathematical structure of correlation functions, we propose a unified framework to construct generalized Kirchhoff matrices whose matrix inverse leads to correlation function based","authors_text":"Guo-Wei Wei, Kelin Xia, Kristopher Opron","cross_cats":["q-bio.QM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.BM","submitted_at":"2015-03-02T00:56:56Z","title":"Correlation function based Gaussian network models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.05927","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:dd84bc72e08041a0a8b7c56d9b7796d3a273f03606ed8730ba56273aa49f64a4","target":"record","created_at":"2026-05-18T02:20:49Z","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":"7d76dbd5a320d1980bc9bc49fb36ec5bd3e366899f385c30bc8089b2dc7f0fa9","cross_cats_sorted":["q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.BM","submitted_at":"2015-03-02T00:56:56Z","title_canon_sha256":"a3e53168d0b73ad1589c13621cd4524d5ab27379a3a28fcfafafe93d8481c190"},"schema_version":"1.0","source":{"id":"1503.05927","kind":"arxiv","version":1}},"canonical_sha256":"c9d8faf6cb5b3228040e096a747b513a63de8d0fd94a14129c4b096c07cb1d8d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c9d8faf6cb5b3228040e096a747b513a63de8d0fd94a14129c4b096c07cb1d8d","first_computed_at":"2026-05-18T02:20:49.093113Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:20:49.093113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kPg7fbH2Rq8vuwGbpIAkGXoOwP5yEEPW4pviTu2q68uvHWDpWpij6oTL7+OCbaFtLmdpw41DrVfnf+eWBsTTAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:20:49.093559Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.05927","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dd84bc72e08041a0a8b7c56d9b7796d3a273f03606ed8730ba56273aa49f64a4","sha256:65a6713a56818c21b1d116c9fdc2142668b252fb5946360c0f8bbc747c595132"],"state_sha256":"37b33daaf0f14561dcc623793a992796bc304f883510b2a01343edbac4aab0a9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P+iRnVrNaM5XK9ag4HOFHGC2d+D02jDNum/eS/Yg3RMQ2MGuj21hi6INRBoGXE7iCv3tsbPC8BAiIAEmqVhSDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T23:14:28.388064Z","bundle_sha256":"944bca7a06c8c8c6e2ac163b4bf69fd34270f0adadec3bd4bd0277bf2b11e9cb"}}