{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:C6TBUYCFXQKQIPZHRO7JHCPPBF","short_pith_number":"pith:C6TBUYCF","schema_version":"1.0","canonical_sha256":"17a61a6045bc15043f278bbe9389ef09459c828e97841a5db327d23c813543c3","source":{"kind":"arxiv","id":"1407.7523","version":1},"attestation_state":"computed","paper":{"title":"Dynamics of swollen fractal networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"physics.comp-ph","authors_text":"Alvaro V. N. C. Teixeira, Pedro Licinio","submitted_at":"2014-07-28T21:32:32Z","abstract_excerpt":"The dynamics of swollen fractal networks (Rouse model) has been studied through computer simulations. The fluctuation-relaxation theorem was used instead of the usual Langevin approach to Brownian dynamics. We measured the equivalent of the mean square displacement $\\langle \\vec r^{\\,2} \\rangle$ and the coefficient of self-diffusion $D$ of two-and three-dimensional Sierpinski networks and of the two-dimensional percolation network. The results showed an anomalous diffusion, i. e., a power law for $D$, decreasing with time with an exponent proportional to the spectral dimension of the network."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1407.7523","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2014-07-28T21:32:32Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"e28defa2a399787ecfb73ccf26c0315d93015f7b6ab3cb6a0f53fe47eb1f1cc0","abstract_canon_sha256":"08b7eb5666dfdf6af692dda76fa4fc4bb87dbc667a4397935232b4faf5b677ca"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:46:22.420296Z","signature_b64":"858SCtAizNBlh493cxks+qIVrLG9dRT1ilJaMcTKO9PccAqolSywzQ+7JAGm3rlITQd2Ez5No4kORrjWytAIBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"17a61a6045bc15043f278bbe9389ef09459c828e97841a5db327d23c813543c3","last_reissued_at":"2026-05-18T02:46:22.419647Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:46:22.419647Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dynamics of swollen fractal networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"physics.comp-ph","authors_text":"Alvaro V. N. C. Teixeira, Pedro Licinio","submitted_at":"2014-07-28T21:32:32Z","abstract_excerpt":"The dynamics of swollen fractal networks (Rouse model) has been studied through computer simulations. The fluctuation-relaxation theorem was used instead of the usual Langevin approach to Brownian dynamics. We measured the equivalent of the mean square displacement $\\langle \\vec r^{\\,2} \\rangle$ and the coefficient of self-diffusion $D$ of two-and three-dimensional Sierpinski networks and of the two-dimensional percolation network. The results showed an anomalous diffusion, i. e., a power law for $D$, decreasing with time with an exponent proportional to the spectral dimension of the network."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.7523","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1407.7523","created_at":"2026-05-18T02:46:22.419731+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.7523v1","created_at":"2026-05-18T02:46:22.419731+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.7523","created_at":"2026-05-18T02:46:22.419731+00:00"},{"alias_kind":"pith_short_12","alias_value":"C6TBUYCFXQKQ","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_16","alias_value":"C6TBUYCFXQKQIPZH","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_8","alias_value":"C6TBUYCF","created_at":"2026-05-18T12:28:22.404517+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/C6TBUYCFXQKQIPZHRO7JHCPPBF","json":"https://pith.science/pith/C6TBUYCFXQKQIPZHRO7JHCPPBF.json","graph_json":"https://pith.science/api/pith-number/C6TBUYCFXQKQIPZHRO7JHCPPBF/graph.json","events_json":"https://pith.science/api/pith-number/C6TBUYCFXQKQIPZHRO7JHCPPBF/events.json","paper":"https://pith.science/paper/C6TBUYCF"},"agent_actions":{"view_html":"https://pith.science/pith/C6TBUYCFXQKQIPZHRO7JHCPPBF","download_json":"https://pith.science/pith/C6TBUYCFXQKQIPZHRO7JHCPPBF.json","view_paper":"https://pith.science/paper/C6TBUYCF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.7523&json=true","fetch_graph":"https://pith.science/api/pith-number/C6TBUYCFXQKQIPZHRO7JHCPPBF/graph.json","fetch_events":"https://pith.science/api/pith-number/C6TBUYCFXQKQIPZHRO7JHCPPBF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/C6TBUYCFXQKQIPZHRO7JHCPPBF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/C6TBUYCFXQKQIPZHRO7JHCPPBF/action/storage_attestation","attest_author":"https://pith.science/pith/C6TBUYCFXQKQIPZHRO7JHCPPBF/action/author_attestation","sign_citation":"https://pith.science/pith/C6TBUYCFXQKQIPZHRO7JHCPPBF/action/citation_signature","submit_replication":"https://pith.science/pith/C6TBUYCFXQKQIPZHRO7JHCPPBF/action/replication_record"}},"created_at":"2026-05-18T02:46:22.419731+00:00","updated_at":"2026-05-18T02:46:22.419731+00:00"}