{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:VE6SNMFFC4SH5FM7Z4Z7PP4BLT","short_pith_number":"pith:VE6SNMFF","schema_version":"1.0","canonical_sha256":"a93d26b0a517247e959fcf33f7bf815ce83d2af3b29971bae5dc6eff9ef4858a","source":{"kind":"arxiv","id":"1609.04658","version":1},"attestation_state":"computed","paper":{"title":"Analyzing Signal Attenuation in PFG Anomalous Diffusion via a Modified Gaussian Phase Distribution Approximation Based on Fractal Derivative Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.chem-ph","authors_text":"Guoxing Lin","submitted_at":"2016-09-15T14:09:33Z","abstract_excerpt":"Pulsed field gradient (PFG) has been increasingly employed to study anomalous diffusions in Nuclear Magnetic Resonance (NMR) and Magnetic Resonance Imaging (MRI). However, the analysis of PFG anomalous diffusion is complicated. In this paper, a fractal derivative model based modified Gaussian phase distribution method is proposed to describe PFG anomalous diffusion. By using the phase distribution obtained from the effective phase shift diffusion method based on fractal derivatives, and employing some of the traditional Gaussian phase distribution approximation techniques, a general signal att"},"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":"1609.04658","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2016-09-15T14:09:33Z","cross_cats_sorted":[],"title_canon_sha256":"f025a44735c1eaf0791386ab8edf55cba98a3ef42b1cf86d8b1e23a206b4c909","abstract_canon_sha256":"3f53cd5e51751d59772091496b0c3ff1cf4590584c875d1fa55b873b01d895f8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:52.482971Z","signature_b64":"UpUUxupCHJ/G6ZzyAOcewRJgXlmPn3y9nVohouN/iTsz4LsPo1nqawUHAxDd462NMGKpf7xRfqgAdFokLUK8Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a93d26b0a517247e959fcf33f7bf815ce83d2af3b29971bae5dc6eff9ef4858a","last_reissued_at":"2026-05-18T01:00:52.482371Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:52.482371Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Analyzing Signal Attenuation in PFG Anomalous Diffusion via a Modified Gaussian Phase Distribution Approximation Based on Fractal Derivative Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.chem-ph","authors_text":"Guoxing Lin","submitted_at":"2016-09-15T14:09:33Z","abstract_excerpt":"Pulsed field gradient (PFG) has been increasingly employed to study anomalous diffusions in Nuclear Magnetic Resonance (NMR) and Magnetic Resonance Imaging (MRI). However, the analysis of PFG anomalous diffusion is complicated. In this paper, a fractal derivative model based modified Gaussian phase distribution method is proposed to describe PFG anomalous diffusion. By using the phase distribution obtained from the effective phase shift diffusion method based on fractal derivatives, and employing some of the traditional Gaussian phase distribution approximation techniques, a general signal att"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.04658","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":"1609.04658","created_at":"2026-05-18T01:00:52.482469+00:00"},{"alias_kind":"arxiv_version","alias_value":"1609.04658v1","created_at":"2026-05-18T01:00:52.482469+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.04658","created_at":"2026-05-18T01:00:52.482469+00:00"},{"alias_kind":"pith_short_12","alias_value":"VE6SNMFFC4SH","created_at":"2026-05-18T12:30:48.956258+00:00"},{"alias_kind":"pith_short_16","alias_value":"VE6SNMFFC4SH5FM7","created_at":"2026-05-18T12:30:48.956258+00:00"},{"alias_kind":"pith_short_8","alias_value":"VE6SNMFF","created_at":"2026-05-18T12:30:48.956258+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/VE6SNMFFC4SH5FM7Z4Z7PP4BLT","json":"https://pith.science/pith/VE6SNMFFC4SH5FM7Z4Z7PP4BLT.json","graph_json":"https://pith.science/api/pith-number/VE6SNMFFC4SH5FM7Z4Z7PP4BLT/graph.json","events_json":"https://pith.science/api/pith-number/VE6SNMFFC4SH5FM7Z4Z7PP4BLT/events.json","paper":"https://pith.science/paper/VE6SNMFF"},"agent_actions":{"view_html":"https://pith.science/pith/VE6SNMFFC4SH5FM7Z4Z7PP4BLT","download_json":"https://pith.science/pith/VE6SNMFFC4SH5FM7Z4Z7PP4BLT.json","view_paper":"https://pith.science/paper/VE6SNMFF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1609.04658&json=true","fetch_graph":"https://pith.science/api/pith-number/VE6SNMFFC4SH5FM7Z4Z7PP4BLT/graph.json","fetch_events":"https://pith.science/api/pith-number/VE6SNMFFC4SH5FM7Z4Z7PP4BLT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VE6SNMFFC4SH5FM7Z4Z7PP4BLT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VE6SNMFFC4SH5FM7Z4Z7PP4BLT/action/storage_attestation","attest_author":"https://pith.science/pith/VE6SNMFFC4SH5FM7Z4Z7PP4BLT/action/author_attestation","sign_citation":"https://pith.science/pith/VE6SNMFFC4SH5FM7Z4Z7PP4BLT/action/citation_signature","submit_replication":"https://pith.science/pith/VE6SNMFFC4SH5FM7Z4Z7PP4BLT/action/replication_record"}},"created_at":"2026-05-18T01:00:52.482469+00:00","updated_at":"2026-05-18T01:00:52.482469+00:00"}