{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:7TH4NUFL7AED3DZQ4DSDIONUKY","short_pith_number":"pith:7TH4NUFL","canonical_record":{"source":{"id":"2301.10834","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AP","submitted_at":"2023-01-25T21:20:14Z","cross_cats_sorted":[],"title_canon_sha256":"1039733810076abab37156a32ab9863936d590017718812dc46195b3d33c7e1e","abstract_canon_sha256":"295925dfaeaa16d3a5c7c56516182b4f3dc7404a1dc5dc21cad4c904a469f732"},"schema_version":"1.0"},"canonical_sha256":"fccfc6d0abf8083d8f30e0e43439b4560993a33c85c30f435269399153f3af94","source":{"kind":"arxiv","id":"2301.10834","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2301.10834","created_at":"2026-07-05T05:36:07Z"},{"alias_kind":"arxiv_version","alias_value":"2301.10834v1","created_at":"2026-07-05T05:36:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.10834","created_at":"2026-07-05T05:36:07Z"},{"alias_kind":"pith_short_12","alias_value":"7TH4NUFL7AED","created_at":"2026-07-05T05:36:07Z"},{"alias_kind":"pith_short_16","alias_value":"7TH4NUFL7AED3DZQ","created_at":"2026-07-05T05:36:07Z"},{"alias_kind":"pith_short_8","alias_value":"7TH4NUFL","created_at":"2026-07-05T05:36:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:7TH4NUFL7AED3DZQ4DSDIONUKY","target":"record","payload":{"canonical_record":{"source":{"id":"2301.10834","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AP","submitted_at":"2023-01-25T21:20:14Z","cross_cats_sorted":[],"title_canon_sha256":"1039733810076abab37156a32ab9863936d590017718812dc46195b3d33c7e1e","abstract_canon_sha256":"295925dfaeaa16d3a5c7c56516182b4f3dc7404a1dc5dc21cad4c904a469f732"},"schema_version":"1.0"},"canonical_sha256":"fccfc6d0abf8083d8f30e0e43439b4560993a33c85c30f435269399153f3af94","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:36:07.324859Z","signature_b64":"079X3THkLzi5hvw0TlIh//lCAOBNXFAIIAaV86bIMErrQ4XlZEPGYnxZJhMFPWAEg1bfKg0/mEt9oWsc/2diBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fccfc6d0abf8083d8f30e0e43439b4560993a33c85c30f435269399153f3af94","last_reissued_at":"2026-07-05T05:36:07.324410Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:36:07.324410Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2301.10834","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:36:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WDNihU8u/U6lrautxFSQMzC4N6pSrhur5KZWcjGGoZ+8I9i1eMli1UXpJpz0SMrk99sZud5IcKm0dwTl4bW/DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T02:33:01.556178Z"},"content_sha256":"dacb5dc8023911248d055b46367529729c40ff1c64703fb6df676359076a0409","schema_version":"1.0","event_id":"sha256:dacb5dc8023911248d055b46367529729c40ff1c64703fb6df676359076a0409"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:7TH4NUFL7AED3DZQ4DSDIONUKY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Global stability of a logarithmically sensitive chemotaxis model under time-dependent boundary conditions","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Kun Zhao, Padi Fuster Aguilera","submitted_at":"2023-01-25T21:20:14Z","abstract_excerpt":"This paper studies the dynamical behavior of classical solutions to a hyperbolic system of balance laws, derived from a chemotaxis model with logarithmic sensitivity, subject to time-dependent boundary conditions. It is shown that under suitable assumptions on the boundary data, solutions starting in $H^2$-space exist globally in time and the differences between the solutions and their corresponding boundary data converge to zero, as time goes to infinity. There is no smallness restriction on the magnitude of initial perturbations. Moreover, numerical simulations show that the assumptions on t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.10834","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/2301.10834/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:36:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rfIUv1R6eQanKJHGz+hOtSb3w1iXAEkZIufT1kCa65vyY9NLgsvC5osnKb8tQZQTpntlEdgkkUQA6mddMAXJAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T02:33:01.556555Z"},"content_sha256":"9b4cc9e0d5897d7e8d5533c468e89de08ee69ff79ab38b6c788685774e1ccc50","schema_version":"1.0","event_id":"sha256:9b4cc9e0d5897d7e8d5533c468e89de08ee69ff79ab38b6c788685774e1ccc50"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7TH4NUFL7AED3DZQ4DSDIONUKY/bundle.json","state_url":"https://pith.science/pith/7TH4NUFL7AED3DZQ4DSDIONUKY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7TH4NUFL7AED3DZQ4DSDIONUKY/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-05T02:33:01Z","links":{"resolver":"https://pith.science/pith/7TH4NUFL7AED3DZQ4DSDIONUKY","bundle":"https://pith.science/pith/7TH4NUFL7AED3DZQ4DSDIONUKY/bundle.json","state":"https://pith.science/pith/7TH4NUFL7AED3DZQ4DSDIONUKY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7TH4NUFL7AED3DZQ4DSDIONUKY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:7TH4NUFL7AED3DZQ4DSDIONUKY","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":"295925dfaeaa16d3a5c7c56516182b4f3dc7404a1dc5dc21cad4c904a469f732","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AP","submitted_at":"2023-01-25T21:20:14Z","title_canon_sha256":"1039733810076abab37156a32ab9863936d590017718812dc46195b3d33c7e1e"},"schema_version":"1.0","source":{"id":"2301.10834","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2301.10834","created_at":"2026-07-05T05:36:07Z"},{"alias_kind":"arxiv_version","alias_value":"2301.10834v1","created_at":"2026-07-05T05:36:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.10834","created_at":"2026-07-05T05:36:07Z"},{"alias_kind":"pith_short_12","alias_value":"7TH4NUFL7AED","created_at":"2026-07-05T05:36:07Z"},{"alias_kind":"pith_short_16","alias_value":"7TH4NUFL7AED3DZQ","created_at":"2026-07-05T05:36:07Z"},{"alias_kind":"pith_short_8","alias_value":"7TH4NUFL","created_at":"2026-07-05T05:36:07Z"}],"graph_snapshots":[{"event_id":"sha256:9b4cc9e0d5897d7e8d5533c468e89de08ee69ff79ab38b6c788685774e1ccc50","target":"graph","created_at":"2026-07-05T05:36:07Z","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/2301.10834/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper studies the dynamical behavior of classical solutions to a hyperbolic system of balance laws, derived from a chemotaxis model with logarithmic sensitivity, subject to time-dependent boundary conditions. It is shown that under suitable assumptions on the boundary data, solutions starting in $H^2$-space exist globally in time and the differences between the solutions and their corresponding boundary data converge to zero, as time goes to infinity. There is no smallness restriction on the magnitude of initial perturbations. Moreover, numerical simulations show that the assumptions on t","authors_text":"Kun Zhao, Padi Fuster Aguilera","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AP","submitted_at":"2023-01-25T21:20:14Z","title":"Global stability of a logarithmically sensitive chemotaxis model under time-dependent boundary conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.10834","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:dacb5dc8023911248d055b46367529729c40ff1c64703fb6df676359076a0409","target":"record","created_at":"2026-07-05T05:36:07Z","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":"295925dfaeaa16d3a5c7c56516182b4f3dc7404a1dc5dc21cad4c904a469f732","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AP","submitted_at":"2023-01-25T21:20:14Z","title_canon_sha256":"1039733810076abab37156a32ab9863936d590017718812dc46195b3d33c7e1e"},"schema_version":"1.0","source":{"id":"2301.10834","kind":"arxiv","version":1}},"canonical_sha256":"fccfc6d0abf8083d8f30e0e43439b4560993a33c85c30f435269399153f3af94","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fccfc6d0abf8083d8f30e0e43439b4560993a33c85c30f435269399153f3af94","first_computed_at":"2026-07-05T05:36:07.324410Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:36:07.324410Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"079X3THkLzi5hvw0TlIh//lCAOBNXFAIIAaV86bIMErrQ4XlZEPGYnxZJhMFPWAEg1bfKg0/mEt9oWsc/2diBw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:36:07.324859Z","signed_message":"canonical_sha256_bytes"},"source_id":"2301.10834","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dacb5dc8023911248d055b46367529729c40ff1c64703fb6df676359076a0409","sha256:9b4cc9e0d5897d7e8d5533c468e89de08ee69ff79ab38b6c788685774e1ccc50"],"state_sha256":"b1a2edf2b1616bf3a54d54b7d79397a5dc9afd939a62fb1a307d84b4a6c2defb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NzH+0HzwbQcDPYZBhWBcT4WtfvM3giBSOvla17VXeFn1uESqgdE914/35pQdbKF2WuBkNLQGHi2FEgf7PCkMCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T02:33:01.559166Z","bundle_sha256":"f93dde4ff73d1d2d3bae436a14f857be458b8164d6a4769fff747f659f9cf5be"}}