{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:ZKWOM3YNWDVJEERWLI3OHXBRRN","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":"b9e8267fede4b1adc98ec932df46094183307d7d1c4e8711710b4f44af9e73fe","cross_cats_sorted":["cond-mat.soft","physics.flu-dyn","q-bio.QM"],"license":"","primary_cat":"physics.bio-ph","submitted_at":"2005-04-28T19:35:49Z","title_canon_sha256":"60aee4728a5f80cb1ac6afd2a6c1bde310a58c89b0f8d28b4b7b36a54d911bf6"},"schema_version":"1.0","source":{"id":"physics/0504211","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0504211","created_at":"2026-07-04T14:50:16Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0504211v1","created_at":"2026-07-04T14:50:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0504211","created_at":"2026-07-04T14:50:16Z"},{"alias_kind":"pith_short_12","alias_value":"ZKWOM3YNWDVJ","created_at":"2026-07-04T14:50:16Z"},{"alias_kind":"pith_short_16","alias_value":"ZKWOM3YNWDVJEERW","created_at":"2026-07-04T14:50:16Z"},{"alias_kind":"pith_short_8","alias_value":"ZKWOM3YN","created_at":"2026-07-04T14:50:16Z"}],"graph_snapshots":[{"event_id":"sha256:463a31214e9058a8df3c4d454594aa404a13a357e3930eace3a4f5a9142ebe9f","target":"graph","created_at":"2026-07-04T14:50:16Z","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/physics/0504211/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Cellular Potts Model (CPM) is a robust, cell-level methodology for simulation of biological tissues and morphogenesis. Both tissue physiology and morphogenesis depend on diffusion of chemical morphogens in the extra-cellular fluid or matrix (ECM). Standard diffusion solvers applied to the cellular potts model use finite difference methods on the underlying CPM lattice. However, these methods produce a diffusing field tied to the underlying lattice, which is inaccurate in many biological situations in which cell or ECM movement causes advection rapid compared to diffusion. Finite difference","authors_text":"Chris Mueller, Debasis Dan, James A. Glazier, Kun Chen","cross_cats":["cond-mat.soft","physics.flu-dyn","q-bio.QM"],"headline":"","license":"","primary_cat":"physics.bio-ph","submitted_at":"2005-04-28T19:35:49Z","title":"Solving the Advection-Diffusion Equations in Biological Contexts using the Cellular Potts Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0504211","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:e2e83cd1e053d381b98ff6cb83958cb450600d3e755fb114ecc426dfff5f51e7","target":"record","created_at":"2026-07-04T14:50:16Z","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":"b9e8267fede4b1adc98ec932df46094183307d7d1c4e8711710b4f44af9e73fe","cross_cats_sorted":["cond-mat.soft","physics.flu-dyn","q-bio.QM"],"license":"","primary_cat":"physics.bio-ph","submitted_at":"2005-04-28T19:35:49Z","title_canon_sha256":"60aee4728a5f80cb1ac6afd2a6c1bde310a58c89b0f8d28b4b7b36a54d911bf6"},"schema_version":"1.0","source":{"id":"physics/0504211","kind":"arxiv","version":1}},"canonical_sha256":"caace66f0db0ea9212365a36e3dc318b498be1fe61746e6ad80b1ad2198c321a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"caace66f0db0ea9212365a36e3dc318b498be1fe61746e6ad80b1ad2198c321a","first_computed_at":"2026-07-04T14:50:16.407083Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:50:16.407083Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CKx0n44B2sWE0YmTCxT72QYWYrDfftB0usvYPzBk0yCfHHsCEDM8pWr9sIMkw2TUr3tHJmvrSO7kikOPGrXvDg==","signature_status":"signed_v1","signed_at":"2026-07-04T14:50:16.407465Z","signed_message":"canonical_sha256_bytes"},"source_id":"physics/0504211","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e2e83cd1e053d381b98ff6cb83958cb450600d3e755fb114ecc426dfff5f51e7","sha256:463a31214e9058a8df3c4d454594aa404a13a357e3930eace3a4f5a9142ebe9f"],"state_sha256":"e5009ca2d1a7903b727ea40a8cb5a343a35fea5ebb2ef36c44cb8b996db23b83"}