{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:HMUZXFMGR6TN2TJDMETR5M6ZSO","short_pith_number":"pith:HMUZXFMG","canonical_record":{"source":{"id":"0903.2646","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2009-03-15T16:40:09Z","cross_cats_sorted":["physics.soc-ph"],"title_canon_sha256":"661e315c656642f5be56276f6fc08bb095dc2ec028cd80eaa277656aff5dfa17","abstract_canon_sha256":"8363b4222575cbd7966fe77c8a833d466573703ff416d969df4765659be0eed1"},"schema_version":"1.0"},"canonical_sha256":"3b299b95868fa6dd4d2361271eb3d993a89d97d16675562a94c23993099feb67","source":{"kind":"arxiv","id":"0903.2646","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0903.2646","created_at":"2026-05-18T02:14:28Z"},{"alias_kind":"arxiv_version","alias_value":"0903.2646v1","created_at":"2026-05-18T02:14:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.2646","created_at":"2026-05-18T02:14:28Z"},{"alias_kind":"pith_short_12","alias_value":"HMUZXFMGR6TN","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"HMUZXFMGR6TN2TJD","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"HMUZXFMG","created_at":"2026-05-18T12:25:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:HMUZXFMGR6TN2TJDMETR5M6ZSO","target":"record","payload":{"canonical_record":{"source":{"id":"0903.2646","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2009-03-15T16:40:09Z","cross_cats_sorted":["physics.soc-ph"],"title_canon_sha256":"661e315c656642f5be56276f6fc08bb095dc2ec028cd80eaa277656aff5dfa17","abstract_canon_sha256":"8363b4222575cbd7966fe77c8a833d466573703ff416d969df4765659be0eed1"},"schema_version":"1.0"},"canonical_sha256":"3b299b95868fa6dd4d2361271eb3d993a89d97d16675562a94c23993099feb67","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:14:28.161257Z","signature_b64":"qr8ZuTjKee7bEEvSdI9mTfVrlCnjaiJNNuTmDEXbKUFmNYFJ4yz274yqIQm7e/W7dPCyJ77JUNeJ8sR0zffEBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3b299b95868fa6dd4d2361271eb3d993a89d97d16675562a94c23993099feb67","last_reissued_at":"2026-05-18T02:14:28.160742Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:14:28.160742Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0903.2646","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":"2026-05-18T02:14:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b3I/sTa04+UIuca5OC80x28v3nxEGoOEYNbTxPfiGiAzTpJQZaiNT/pJ5zBKRdnOj3xOyOa7/cuXfjNnPaq/Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T04:40:46.970704Z"},"content_sha256":"9765ed9a180152a196137ce72485f1af1d60a37a68252587869f1dec0ddd0046","schema_version":"1.0","event_id":"sha256:9765ed9a180152a196137ce72485f1af1d60a37a68252587869f1dec0ddd0046"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:HMUZXFMGR6TN2TJDMETR5M6ZSO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Equation-Free Multiscale Computations in Social Networks: from Agent-based Modelling to Coarse-grained Stability and Bifurcation Analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.soc-ph"],"primary_cat":"physics.comp-ph","authors_text":"A.C. Tsoumanis, C. I. Siettos, G.V. Bafas, I.G. Kevrekidis","submitted_at":"2009-03-15T16:40:09Z","abstract_excerpt":"We focus at the interface between multiscale computations, bifurcation theory and social networks. In particular we address how the Equation-Free approach, a recently developed computational framework, can be exploited to systematically extract coarse-grained, emergent dynamical information by bridging detailed, agent-based models of social interactions on networks, with macroscopic, systems-level, continuum numerical analysis tools. For our illustrations we use a simple dynamic agent-based model describing the propagation of information between individuals interacting under mimesis in a socia"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.2646","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":"2026-05-18T02:14:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZUAWCQNw/3vhzNyTeSlgGaE99DIsYdbwxLt9tTqLukYbJqDMumEBHTOm5+o9fCFmdY2t1cuQwJJ/JZ+LKZLUBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T04:40:46.971376Z"},"content_sha256":"363c53e936af7f22763990cfeb03965d5828251b7272cc18bfbc358bbff00945","schema_version":"1.0","event_id":"sha256:363c53e936af7f22763990cfeb03965d5828251b7272cc18bfbc358bbff00945"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HMUZXFMGR6TN2TJDMETR5M6ZSO/bundle.json","state_url":"https://pith.science/pith/HMUZXFMGR6TN2TJDMETR5M6ZSO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HMUZXFMGR6TN2TJDMETR5M6ZSO/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":"2026-06-08T04:40:46Z","links":{"resolver":"https://pith.science/pith/HMUZXFMGR6TN2TJDMETR5M6ZSO","bundle":"https://pith.science/pith/HMUZXFMGR6TN2TJDMETR5M6ZSO/bundle.json","state":"https://pith.science/pith/HMUZXFMGR6TN2TJDMETR5M6ZSO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HMUZXFMGR6TN2TJDMETR5M6ZSO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:HMUZXFMGR6TN2TJDMETR5M6ZSO","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":"8363b4222575cbd7966fe77c8a833d466573703ff416d969df4765659be0eed1","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2009-03-15T16:40:09Z","title_canon_sha256":"661e315c656642f5be56276f6fc08bb095dc2ec028cd80eaa277656aff5dfa17"},"schema_version":"1.0","source":{"id":"0903.2646","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0903.2646","created_at":"2026-05-18T02:14:28Z"},{"alias_kind":"arxiv_version","alias_value":"0903.2646v1","created_at":"2026-05-18T02:14:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.2646","created_at":"2026-05-18T02:14:28Z"},{"alias_kind":"pith_short_12","alias_value":"HMUZXFMGR6TN","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"HMUZXFMGR6TN2TJD","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"HMUZXFMG","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:363c53e936af7f22763990cfeb03965d5828251b7272cc18bfbc358bbff00945","target":"graph","created_at":"2026-05-18T02:14:28Z","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 focus at the interface between multiscale computations, bifurcation theory and social networks. In particular we address how the Equation-Free approach, a recently developed computational framework, can be exploited to systematically extract coarse-grained, emergent dynamical information by bridging detailed, agent-based models of social interactions on networks, with macroscopic, systems-level, continuum numerical analysis tools. For our illustrations we use a simple dynamic agent-based model describing the propagation of information between individuals interacting under mimesis in a socia","authors_text":"A.C. Tsoumanis, C. I. Siettos, G.V. Bafas, I.G. Kevrekidis","cross_cats":["physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2009-03-15T16:40:09Z","title":"Equation-Free Multiscale Computations in Social Networks: from Agent-based Modelling to Coarse-grained Stability and Bifurcation Analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.2646","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":"sha256:9765ed9a180152a196137ce72485f1af1d60a37a68252587869f1dec0ddd0046","target":"record","created_at":"2026-05-18T02:14:28Z","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":"8363b4222575cbd7966fe77c8a833d466573703ff416d969df4765659be0eed1","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2009-03-15T16:40:09Z","title_canon_sha256":"661e315c656642f5be56276f6fc08bb095dc2ec028cd80eaa277656aff5dfa17"},"schema_version":"1.0","source":{"id":"0903.2646","kind":"arxiv","version":1}},"canonical_sha256":"3b299b95868fa6dd4d2361271eb3d993a89d97d16675562a94c23993099feb67","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3b299b95868fa6dd4d2361271eb3d993a89d97d16675562a94c23993099feb67","first_computed_at":"2026-05-18T02:14:28.160742Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:14:28.160742Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qr8ZuTjKee7bEEvSdI9mTfVrlCnjaiJNNuTmDEXbKUFmNYFJ4yz274yqIQm7e/W7dPCyJ77JUNeJ8sR0zffEBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:14:28.161257Z","signed_message":"canonical_sha256_bytes"},"source_id":"0903.2646","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9765ed9a180152a196137ce72485f1af1d60a37a68252587869f1dec0ddd0046","sha256:363c53e936af7f22763990cfeb03965d5828251b7272cc18bfbc358bbff00945"],"state_sha256":"8f425d5b816d865a6db681d634586fab9cf2cecddf2ab7d5fbdae953d4aeeb35"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3Ehuowxo5zh6R4t1JqMCCo1+o6CxVnvSZaV8JLsjwzdc33B5DprzE8nZGqxyBg+JrYKvyqno1hobKbwRePvACA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T04:40:46.975469Z","bundle_sha256":"03c16e44e6c949a35cd08b017bf9afa2455142155fbc179e717aa85da16bf672"}}