{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:4TXBRLMQ2V7Q3CBJPH3NIFTKB2","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":"e710877c2fa8d3982b6c51caf697b2fb1ea067b0f4d1fe5c97406dda532c2e91","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.CD","submitted_at":"2025-05-29T20:30:12Z","title_canon_sha256":"6bf56eddf21a9d57d61fd9d56b61936296557e5fdac282ea38faa8f5928638fb"},"schema_version":"1.0","source":{"id":"2505.23988","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.23988","created_at":"2026-07-05T11:12:39Z"},{"alias_kind":"arxiv_version","alias_value":"2505.23988v1","created_at":"2026-07-05T11:12:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.23988","created_at":"2026-07-05T11:12:39Z"},{"alias_kind":"pith_short_12","alias_value":"4TXBRLMQ2V7Q","created_at":"2026-07-05T11:12:39Z"},{"alias_kind":"pith_short_16","alias_value":"4TXBRLMQ2V7Q3CBJ","created_at":"2026-07-05T11:12:39Z"},{"alias_kind":"pith_short_8","alias_value":"4TXBRLMQ","created_at":"2026-07-05T11:12:39Z"}],"graph_snapshots":[{"event_id":"sha256:6355d26ef4b07a6a899ebb3d5622580f7d43c460b3d1d998d1975294bd6125bd","target":"graph","created_at":"2026-07-05T11:12:39Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2505.23988/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Cell proliferation and diffusion can be modeled through reaction-diffusion systems describing the space-time evolution of a density variable. In this work, we present non-linear transformations of heat equation solutions to model cellular growth and diffusion using a Richards growth function. The solutions are obtained by using two-variable Hermite Polynomials. We estimated the parameters of the Richards function by comparing the model solutions with the experimentally observed data from scratch assays. To check robustness of the parameters estimated, we used a fractional Brownian Motion (fBM)","authors_text":"Preet Mishra, R.K. Brojen Singh, Sapna Ratan Shah, Shyam Kumar","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.CD","submitted_at":"2025-05-29T20:30:12Z","title":"On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.23988","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":"sha256:30e83822a02b724f5b29a0f5ec9e527b2ac45ca81dfc3e799529ba2d6d5b06d7","target":"record","created_at":"2026-07-05T11:12:39Z","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":"e710877c2fa8d3982b6c51caf697b2fb1ea067b0f4d1fe5c97406dda532c2e91","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.CD","submitted_at":"2025-05-29T20:30:12Z","title_canon_sha256":"6bf56eddf21a9d57d61fd9d56b61936296557e5fdac282ea38faa8f5928638fb"},"schema_version":"1.0","source":{"id":"2505.23988","kind":"arxiv","version":1}},"canonical_sha256":"e4ee18ad90d57f0d882979f6d4166a0e912af0e5e1d7210013c3ba6ef7abc78b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e4ee18ad90d57f0d882979f6d4166a0e912af0e5e1d7210013c3ba6ef7abc78b","first_computed_at":"2026-07-05T11:12:39.665471Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:12:39.665471Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2mEgxeAW8GVAZvCUwWDwdc0XC1FE48RUqiCnmZPAW3OFoUaiu3KfgwfkHitjipS8sYKU4wm5d8OpbA+/GJNwDw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:12:39.665974Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.23988","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:30e83822a02b724f5b29a0f5ec9e527b2ac45ca81dfc3e799529ba2d6d5b06d7","sha256:6355d26ef4b07a6a899ebb3d5622580f7d43c460b3d1d998d1975294bd6125bd"],"state_sha256":"1f031b18bb687c0f0917ad6ca71201dbed19bf046fa45ab2e3741b39575e19ba"}