{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:P3B2RMSARVSMKSFQEBYOQYQJ4V","short_pith_number":"pith:P3B2RMSA","canonical_record":{"source":{"id":"1106.3703","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2011-06-19T04:20:16Z","cross_cats_sorted":["cs.AI","cs.IT","cs.LG","cs.SY","math.IT","q-bio.QM","stat.ME"],"title_canon_sha256":"bc000f1d280b04d25c218285938ea905fc4fe7f7e5b46306b78b701f6449ba2b","abstract_canon_sha256":"a2dc1bddb83372d8095f1feedefca8753c63ebb9687741cab5ab4a99fefc3b6c"},"schema_version":"1.0"},"canonical_sha256":"7ec3a8b2408d64c548b02070e86209e553a2f0f7fa5a4cd2860c1b86bcc40cc9","source":{"kind":"arxiv","id":"1106.3703","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.3703","created_at":"2026-05-18T02:29:17Z"},{"alias_kind":"arxiv_version","alias_value":"1106.3703v2","created_at":"2026-05-18T02:29:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.3703","created_at":"2026-05-18T02:29:17Z"},{"alias_kind":"pith_short_12","alias_value":"P3B2RMSARVSM","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"P3B2RMSARVSMKSFQ","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"P3B2RMSA","created_at":"2026-05-18T12:26:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:P3B2RMSARVSMKSFQEBYOQYQJ4V","target":"record","payload":{"canonical_record":{"source":{"id":"1106.3703","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2011-06-19T04:20:16Z","cross_cats_sorted":["cs.AI","cs.IT","cs.LG","cs.SY","math.IT","q-bio.QM","stat.ME"],"title_canon_sha256":"bc000f1d280b04d25c218285938ea905fc4fe7f7e5b46306b78b701f6449ba2b","abstract_canon_sha256":"a2dc1bddb83372d8095f1feedefca8753c63ebb9687741cab5ab4a99fefc3b6c"},"schema_version":"1.0"},"canonical_sha256":"7ec3a8b2408d64c548b02070e86209e553a2f0f7fa5a4cd2860c1b86bcc40cc9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:17.753247Z","signature_b64":"7yLlGGfxhdJzZW23b0dG+F07ZSo9TOiS+kCV8R4pWefhkuNl8HdPzFXdw//V+pZWr++KWnoWQ5M9ZFL/QZlnCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7ec3a8b2408d64c548b02070e86209e553a2f0f7fa5a4cd2860c1b86bcc40cc9","last_reissued_at":"2026-05-18T02:29:17.752721Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:17.752721Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1106.3703","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":"2026-05-18T02:29:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rEgpyYqtsFYA1UjzNMxwH9EKLObx08+fd9IHt20zU+q4LZv+3UMRxVagVQGbGeTCAei6SeNNCuGzN0wEt17rAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T00:48:15.794603Z"},"content_sha256":"69f6bf3e6961a04a42a88e02c8c867d550f60fce322d7be1354ad9cf35842aff","schema_version":"1.0","event_id":"sha256:69f6bf3e6961a04a42a88e02c8c867d550f60fce322d7be1354ad9cf35842aff"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:P3B2RMSARVSMKSFQEBYOQYQJ4V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Prediction and Modularity in Dynamical Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.AI","cs.IT","cs.LG","cs.SY","math.IT","q-bio.QM","stat.ME"],"primary_cat":"nlin.AO","authors_text":"Artemy Kolchinsky, Luis M. Rocha","submitted_at":"2011-06-19T04:20:16Z","abstract_excerpt":"Identifying and understanding modular organizations is centrally important in the study of complex systems. Several approaches to this problem have been advanced, many framed in information-theoretic terms. Our treatment starts from the complementary point of view of statistical modeling and prediction of dynamical systems. It is known that for finite amounts of training data, simpler models can have greater predictive power than more complex ones. We use the trade-off between model simplicity and predictive accuracy to generate optimal multiscale decompositions of dynamical networks into weak"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.3703","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":"2026-05-18T02:29:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i6a+H197V6Ii7GmdXLSuldUNH8ID9IJsw/s5yH1jXK2CmxncC7BL71zuWA5t/kS1X4Zd7od/VZb9olSVvI5HCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T00:48:15.795313Z"},"content_sha256":"dc392ba4c05791434571149fc693a4b97092f7c284b5d9f9cf22a236126328a2","schema_version":"1.0","event_id":"sha256:dc392ba4c05791434571149fc693a4b97092f7c284b5d9f9cf22a236126328a2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P3B2RMSARVSMKSFQEBYOQYQJ4V/bundle.json","state_url":"https://pith.science/pith/P3B2RMSARVSMKSFQEBYOQYQJ4V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P3B2RMSARVSMKSFQEBYOQYQJ4V/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":"2026-05-31T00:48:15Z","links":{"resolver":"https://pith.science/pith/P3B2RMSARVSMKSFQEBYOQYQJ4V","bundle":"https://pith.science/pith/P3B2RMSARVSMKSFQEBYOQYQJ4V/bundle.json","state":"https://pith.science/pith/P3B2RMSARVSMKSFQEBYOQYQJ4V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P3B2RMSARVSMKSFQEBYOQYQJ4V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:P3B2RMSARVSMKSFQEBYOQYQJ4V","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":"a2dc1bddb83372d8095f1feedefca8753c63ebb9687741cab5ab4a99fefc3b6c","cross_cats_sorted":["cs.AI","cs.IT","cs.LG","cs.SY","math.IT","q-bio.QM","stat.ME"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2011-06-19T04:20:16Z","title_canon_sha256":"bc000f1d280b04d25c218285938ea905fc4fe7f7e5b46306b78b701f6449ba2b"},"schema_version":"1.0","source":{"id":"1106.3703","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.3703","created_at":"2026-05-18T02:29:17Z"},{"alias_kind":"arxiv_version","alias_value":"1106.3703v2","created_at":"2026-05-18T02:29:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.3703","created_at":"2026-05-18T02:29:17Z"},{"alias_kind":"pith_short_12","alias_value":"P3B2RMSARVSM","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"P3B2RMSARVSMKSFQ","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"P3B2RMSA","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:dc392ba4c05791434571149fc693a4b97092f7c284b5d9f9cf22a236126328a2","target":"graph","created_at":"2026-05-18T02:29:17Z","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":"Identifying and understanding modular organizations is centrally important in the study of complex systems. Several approaches to this problem have been advanced, many framed in information-theoretic terms. Our treatment starts from the complementary point of view of statistical modeling and prediction of dynamical systems. It is known that for finite amounts of training data, simpler models can have greater predictive power than more complex ones. We use the trade-off between model simplicity and predictive accuracy to generate optimal multiscale decompositions of dynamical networks into weak","authors_text":"Artemy Kolchinsky, Luis M. Rocha","cross_cats":["cs.AI","cs.IT","cs.LG","cs.SY","math.IT","q-bio.QM","stat.ME"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2011-06-19T04:20:16Z","title":"Prediction and Modularity in Dynamical Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.3703","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":"sha256:69f6bf3e6961a04a42a88e02c8c867d550f60fce322d7be1354ad9cf35842aff","target":"record","created_at":"2026-05-18T02:29:17Z","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":"a2dc1bddb83372d8095f1feedefca8753c63ebb9687741cab5ab4a99fefc3b6c","cross_cats_sorted":["cs.AI","cs.IT","cs.LG","cs.SY","math.IT","q-bio.QM","stat.ME"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2011-06-19T04:20:16Z","title_canon_sha256":"bc000f1d280b04d25c218285938ea905fc4fe7f7e5b46306b78b701f6449ba2b"},"schema_version":"1.0","source":{"id":"1106.3703","kind":"arxiv","version":2}},"canonical_sha256":"7ec3a8b2408d64c548b02070e86209e553a2f0f7fa5a4cd2860c1b86bcc40cc9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7ec3a8b2408d64c548b02070e86209e553a2f0f7fa5a4cd2860c1b86bcc40cc9","first_computed_at":"2026-05-18T02:29:17.752721Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:17.752721Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7yLlGGfxhdJzZW23b0dG+F07ZSo9TOiS+kCV8R4pWefhkuNl8HdPzFXdw//V+pZWr++KWnoWQ5M9ZFL/QZlnCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:17.753247Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.3703","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:69f6bf3e6961a04a42a88e02c8c867d550f60fce322d7be1354ad9cf35842aff","sha256:dc392ba4c05791434571149fc693a4b97092f7c284b5d9f9cf22a236126328a2"],"state_sha256":"e810934f502004b6c7ab7b86aad3d8cd50ef210e7efdafc7fd08dbeb943e6a63"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nrM3ZqvOGvmqvD7Gh1Oof2lc+jy0NUiMMDFq6wXf7TyDjaLYsY73fWVnO18rMLb5+cW4IWLIU3l2J0y80ZwNCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T00:48:15.799894Z","bundle_sha256":"2d2c5af6b1a307781ea9ffddd535b2e85299f4f30559221c93fc3db27e6f27fb"}}