{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:QMGPKDFM7XLVQBRPDQRXNRFWOI","short_pith_number":"pith:QMGPKDFM","schema_version":"1.0","canonical_sha256":"830cf50cacfdd758062f1c2376c4b67237504e16fe0a8dfa2247dc71a60a6cff","source":{"kind":"arxiv","id":"1908.06678","version":1},"attestation_state":"computed","paper":{"title":"Network constraints in scale free dynamical systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.NC"],"primary_cat":"physics.bio-ph","authors_text":"Erik D. Fagerholm, Fritjof Helmchen, Karl J. Friston, Robert Leech, Rosalyn J. Moran, W.M.C. Foulkes, Yasir Gallero-Salas","submitted_at":"2019-08-19T10:09:54Z","abstract_excerpt":"Scale free dynamics are observed in a variety of physical and biological systems. These include neural activity in which evidence for scale freeness has been reported using a range of imaging modalities. Here, we derive the ways in which connections within a network must transform - relative to system size - in order to maintain scale freeness and test these theoretical transformations via simulations. First, we explore the known invariance of planetary motion for orbits varying in size. Using parametric empirical Bayesian modelling and a generic dynamical systems model, we show that we recove"},"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":"1908.06678","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2019-08-19T10:09:54Z","cross_cats_sorted":["q-bio.NC"],"title_canon_sha256":"e7153c7ad8aa718cc8879684abc89c519d7139b60bddf30ba8136d9f2aad7084","abstract_canon_sha256":"15698aed06b05efd6b4b97598ac02358a6c6fc9bc97491a968d8a57ddab5c528"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T23:58:18.438157Z","signature_b64":"2dhxhzaiKTd6HDNjVe0cQ5CbzIy/bTVc3uenzR3w5aww8sTxVsqEOtItAcwj6SznLtEoiZZUy0zlH51+eTSFDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"830cf50cacfdd758062f1c2376c4b67237504e16fe0a8dfa2247dc71a60a6cff","last_reissued_at":"2026-07-04T23:58:18.437731Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T23:58:18.437731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Network constraints in scale free dynamical systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.NC"],"primary_cat":"physics.bio-ph","authors_text":"Erik D. Fagerholm, Fritjof Helmchen, Karl J. Friston, Robert Leech, Rosalyn J. Moran, W.M.C. Foulkes, Yasir Gallero-Salas","submitted_at":"2019-08-19T10:09:54Z","abstract_excerpt":"Scale free dynamics are observed in a variety of physical and biological systems. These include neural activity in which evidence for scale freeness has been reported using a range of imaging modalities. Here, we derive the ways in which connections within a network must transform - relative to system size - in order to maintain scale freeness and test these theoretical transformations via simulations. First, we explore the known invariance of planetary motion for orbits varying in size. Using parametric empirical Bayesian modelling and a generic dynamical systems model, we show that we recove"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.06678","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.06678/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1908.06678","created_at":"2026-07-04T23:58:18.437789+00:00"},{"alias_kind":"arxiv_version","alias_value":"1908.06678v1","created_at":"2026-07-04T23:58:18.437789+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.06678","created_at":"2026-07-04T23:58:18.437789+00:00"},{"alias_kind":"pith_short_12","alias_value":"QMGPKDFM7XLV","created_at":"2026-07-04T23:58:18.437789+00:00"},{"alias_kind":"pith_short_16","alias_value":"QMGPKDFM7XLVQBRP","created_at":"2026-07-04T23:58:18.437789+00:00"},{"alias_kind":"pith_short_8","alias_value":"QMGPKDFM","created_at":"2026-07-04T23:58:18.437789+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/QMGPKDFM7XLVQBRPDQRXNRFWOI","json":"https://pith.science/pith/QMGPKDFM7XLVQBRPDQRXNRFWOI.json","graph_json":"https://pith.science/api/pith-number/QMGPKDFM7XLVQBRPDQRXNRFWOI/graph.json","events_json":"https://pith.science/api/pith-number/QMGPKDFM7XLVQBRPDQRXNRFWOI/events.json","paper":"https://pith.science/paper/QMGPKDFM"},"agent_actions":{"view_html":"https://pith.science/pith/QMGPKDFM7XLVQBRPDQRXNRFWOI","download_json":"https://pith.science/pith/QMGPKDFM7XLVQBRPDQRXNRFWOI.json","view_paper":"https://pith.science/paper/QMGPKDFM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1908.06678&json=true","fetch_graph":"https://pith.science/api/pith-number/QMGPKDFM7XLVQBRPDQRXNRFWOI/graph.json","fetch_events":"https://pith.science/api/pith-number/QMGPKDFM7XLVQBRPDQRXNRFWOI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QMGPKDFM7XLVQBRPDQRXNRFWOI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QMGPKDFM7XLVQBRPDQRXNRFWOI/action/storage_attestation","attest_author":"https://pith.science/pith/QMGPKDFM7XLVQBRPDQRXNRFWOI/action/author_attestation","sign_citation":"https://pith.science/pith/QMGPKDFM7XLVQBRPDQRXNRFWOI/action/citation_signature","submit_replication":"https://pith.science/pith/QMGPKDFM7XLVQBRPDQRXNRFWOI/action/replication_record"}},"created_at":"2026-07-04T23:58:18.437789+00:00","updated_at":"2026-07-04T23:58:18.437789+00:00"}