{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:JOCPDAU3OYDG4BYQXTDIIB7RRL","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":"b33374a1fc3d1b12d9e6fa6e81254f182c1f1d1c4e16fa2223f3a4352772b36e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2026-05-20T16:52:28Z","title_canon_sha256":"5424b850036b423e4efd05178837f3b06d0985c4a9de8e54af8870cd1d5a083e"},"schema_version":"1.0","source":{"id":"2605.21394","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.21394","created_at":"2026-05-21T02:05:32Z"},{"alias_kind":"arxiv_version","alias_value":"2605.21394v1","created_at":"2026-05-21T02:05:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.21394","created_at":"2026-05-21T02:05:32Z"},{"alias_kind":"pith_short_12","alias_value":"JOCPDAU3OYDG","created_at":"2026-05-21T02:05:32Z"},{"alias_kind":"pith_short_16","alias_value":"JOCPDAU3OYDG4BYQ","created_at":"2026-05-21T02:05:32Z"},{"alias_kind":"pith_short_8","alias_value":"JOCPDAU3","created_at":"2026-05-21T02:05:32Z"}],"graph_snapshots":[{"event_id":"sha256:e056b3cae1492545c0828f7f96f00d440b6872844e9f3e58536bc5e5530ee1a8","target":"graph","created_at":"2026-05-21T02:05:32Z","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/2605.21394/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate a one dimensional flux limited Keller Segel system (FLKS) in which the chemical decay rate is allowed to vary explicitly in time, a feature motivated by enzymatic regulation and environmental variability in chemotactic signalling. Treating the decay rate as an arbitrary function, we carry out a systematic Lie symmetry analysis of the resulting PDE system and employ equivalence transformations to perform a complete group classification, we identify the kernel symmetry algebra admitted for arbitrary decay functions and determine three distinguished cases that extend the symmetry a","authors_text":"Ahmed Abbas Jaber Al Furaiji, Ghorbanali Haghighatdoost, Mustafa Bazghandi","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2026-05-20T16:52:28Z","title":"Similarity Solutions for the Flux limited Keller Segel System with Time Varying Chemical Decay Rate"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.21394","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":"sha256:3350e7ccfabb7d8506cc824e3a3ba62798890900a956b9b2a659959d01105560","target":"record","created_at":"2026-05-21T02:05:32Z","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":"b33374a1fc3d1b12d9e6fa6e81254f182c1f1d1c4e16fa2223f3a4352772b36e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2026-05-20T16:52:28Z","title_canon_sha256":"5424b850036b423e4efd05178837f3b06d0985c4a9de8e54af8870cd1d5a083e"},"schema_version":"1.0","source":{"id":"2605.21394","kind":"arxiv","version":1}},"canonical_sha256":"4b84f1829b76066e0710bcc68407f18ad0454a552037ddff19ba1daa4c0b7655","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4b84f1829b76066e0710bcc68407f18ad0454a552037ddff19ba1daa4c0b7655","first_computed_at":"2026-05-21T02:05:32.606309Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-21T02:05:32.606309Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ti2Udr8VZC1wvwcRZVGrskfxB8+/dFYpU3Rwi010BdR7kAduat5BTJzPLJ9ha0Y/H3MqC9ajoK7TrmZdigU3AQ==","signature_status":"signed_v1","signed_at":"2026-05-21T02:05:32.607065Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.21394","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3350e7ccfabb7d8506cc824e3a3ba62798890900a956b9b2a659959d01105560","sha256:e056b3cae1492545c0828f7f96f00d440b6872844e9f3e58536bc5e5530ee1a8"],"state_sha256":"8964af9f019c62d75f028e8f8e0578b83f3cc75e492567da8c8f11c798baeabd"}