{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:RAKXEJH3EDUM5KYR6244E7PVX3","short_pith_number":"pith:RAKXEJH3","schema_version":"1.0","canonical_sha256":"88157224fb20e8ceab11f6b9c27df5becc6acf6dddbb9e537989827bcfecad3e","source":{"kind":"arxiv","id":"1506.01934","version":2},"attestation_state":"computed","paper":{"title":"Rheology of fractal networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"physics.bio-ph","authors_text":"Catarina R. Leal, Cristina Januario, Jorge Duarte, Pedro Patricio","submitted_at":"2015-06-05T15:06:41Z","abstract_excerpt":"We model the cytoskeleton as a fractal network by identifying each segment with a simple Kelvin-Voigt element, with a well defined equilibrium length. The final structure retains the elastic characteristics of a solid or a gel, which may support stress, without relaxing. By considering a very simple regular self-similar structure of segments in series and in parallel, in 1, 2 or 3 dimensions, we are able to express the viscoelasticity of the network as an effective generalised Kelvin-Voigt model with a power law spectrum of retardation times, $\\cal L\\sim\\tau^{\\alpha}$. We relate the parameter "},"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":"1506.01934","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2015-06-05T15:06:41Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"9791116e7825b7abbcb876f2fc7c4976354509d4acc1332bde3b8491d4dcb880","abstract_canon_sha256":"f8c3d5823850e68a0879b200dcc95708d9f84bbf3988cc2210f91852096490cb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:28:04.797254Z","signature_b64":"2GMeurnBhh2VhEZILbF1/5x2dXctvN24I3ucheKMLpQpLjZ1YkxxpeEph6tvSyDodiAnXu245vSz5elsaSHZBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"88157224fb20e8ceab11f6b9c27df5becc6acf6dddbb9e537989827bcfecad3e","last_reissued_at":"2026-05-18T01:28:04.796432Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:28:04.796432Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Rheology of fractal networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"physics.bio-ph","authors_text":"Catarina R. Leal, Cristina Januario, Jorge Duarte, Pedro Patricio","submitted_at":"2015-06-05T15:06:41Z","abstract_excerpt":"We model the cytoskeleton as a fractal network by identifying each segment with a simple Kelvin-Voigt element, with a well defined equilibrium length. The final structure retains the elastic characteristics of a solid or a gel, which may support stress, without relaxing. By considering a very simple regular self-similar structure of segments in series and in parallel, in 1, 2 or 3 dimensions, we are able to express the viscoelasticity of the network as an effective generalised Kelvin-Voigt model with a power law spectrum of retardation times, $\\cal L\\sim\\tau^{\\alpha}$. We relate the parameter "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.01934","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1506.01934","created_at":"2026-05-18T01:28:04.796569+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.01934v2","created_at":"2026-05-18T01:28:04.796569+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.01934","created_at":"2026-05-18T01:28:04.796569+00:00"},{"alias_kind":"pith_short_12","alias_value":"RAKXEJH3EDUM","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_16","alias_value":"RAKXEJH3EDUM5KYR","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_8","alias_value":"RAKXEJH3","created_at":"2026-05-18T12:29:39.896362+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/RAKXEJH3EDUM5KYR6244E7PVX3","json":"https://pith.science/pith/RAKXEJH3EDUM5KYR6244E7PVX3.json","graph_json":"https://pith.science/api/pith-number/RAKXEJH3EDUM5KYR6244E7PVX3/graph.json","events_json":"https://pith.science/api/pith-number/RAKXEJH3EDUM5KYR6244E7PVX3/events.json","paper":"https://pith.science/paper/RAKXEJH3"},"agent_actions":{"view_html":"https://pith.science/pith/RAKXEJH3EDUM5KYR6244E7PVX3","download_json":"https://pith.science/pith/RAKXEJH3EDUM5KYR6244E7PVX3.json","view_paper":"https://pith.science/paper/RAKXEJH3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.01934&json=true","fetch_graph":"https://pith.science/api/pith-number/RAKXEJH3EDUM5KYR6244E7PVX3/graph.json","fetch_events":"https://pith.science/api/pith-number/RAKXEJH3EDUM5KYR6244E7PVX3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RAKXEJH3EDUM5KYR6244E7PVX3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RAKXEJH3EDUM5KYR6244E7PVX3/action/storage_attestation","attest_author":"https://pith.science/pith/RAKXEJH3EDUM5KYR6244E7PVX3/action/author_attestation","sign_citation":"https://pith.science/pith/RAKXEJH3EDUM5KYR6244E7PVX3/action/citation_signature","submit_replication":"https://pith.science/pith/RAKXEJH3EDUM5KYR6244E7PVX3/action/replication_record"}},"created_at":"2026-05-18T01:28:04.796569+00:00","updated_at":"2026-05-18T01:28:04.796569+00:00"}