{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:TXEAXJRC7I3DHUX6XV5FCHMQIW","short_pith_number":"pith:TXEAXJRC","canonical_record":{"source":{"id":"1705.10352","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-05-29T18:33:45Z","cross_cats_sorted":[],"title_canon_sha256":"6fe27d61baa3e3ba9528b39f5d07d65796d3322be1c226573b3e369b59a5eab0","abstract_canon_sha256":"23d430a6759056ca0dc178279e1a735f177ba39699783f60a6753864110e37ef"},"schema_version":"1.0"},"canonical_sha256":"9dc80ba622fa3633d2febd7a511d9045b24d1d49709014ae9855e415acd1669e","source":{"kind":"arxiv","id":"1705.10352","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.10352","created_at":"2026-05-18T00:40:34Z"},{"alias_kind":"arxiv_version","alias_value":"1705.10352v2","created_at":"2026-05-18T00:40:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.10352","created_at":"2026-05-18T00:40:34Z"},{"alias_kind":"pith_short_12","alias_value":"TXEAXJRC7I3D","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"TXEAXJRC7I3DHUX6","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"TXEAXJRC","created_at":"2026-05-18T12:31:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:TXEAXJRC7I3DHUX6XV5FCHMQIW","target":"record","payload":{"canonical_record":{"source":{"id":"1705.10352","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-05-29T18:33:45Z","cross_cats_sorted":[],"title_canon_sha256":"6fe27d61baa3e3ba9528b39f5d07d65796d3322be1c226573b3e369b59a5eab0","abstract_canon_sha256":"23d430a6759056ca0dc178279e1a735f177ba39699783f60a6753864110e37ef"},"schema_version":"1.0"},"canonical_sha256":"9dc80ba622fa3633d2febd7a511d9045b24d1d49709014ae9855e415acd1669e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:34.760595Z","signature_b64":"CIlgrXRD+T/0GceFB6EnnkOSVp32VwU8hTXcmtg29L2e7xjMKrqVM6Va4wdc145Gmwf1WO0+LtzXjE9GtdJpAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9dc80ba622fa3633d2febd7a511d9045b24d1d49709014ae9855e415acd1669e","last_reissued_at":"2026-05-18T00:40:34.759796Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:34.759796Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.10352","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:40:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VJSk3d9nci1yyzyhTsnWGGfxaAnhJOgr5qbhHaMkFAGFcgLWUGY9z8/ivOn4L3P/G2Z6k1DAk2cSHsupDO/jCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T09:06:41.410869Z"},"content_sha256":"83b13ae8793107c7af3d1839595b5f16b25f06430158df080edf4866d47e8054","schema_version":"1.0","event_id":"sha256:83b13ae8793107c7af3d1839595b5f16b25f06430158df080edf4866d47e8054"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:TXEAXJRC7I3DHUX6XV5FCHMQIW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bifurcation of traveling waves in a Keller-Segel type free boundary model of cell motility","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Jan Fuhrmann, Leonid Berlyand, Volodymyr Rybalko","submitted_at":"2017-05-29T18:33:45Z","abstract_excerpt":"We study a two-dimensional free boundary problem that models motility of eukaryotic cells on substrates. This problem consists of an elliptic equation describing the flow of cytoskeleton gel coupled with a convection-diffusion PDE for the density of myosin motors. The two key properties of this problem are (i) presence of the cross diffusion as in the classical Keller-Segel problem in chemotaxis and (ii) nonlinear nonlocal free boundary condition that involves curvature of the boundary. We establish the bifurcation of the traveling waves from a family of radially symmetric steady states. The t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.10352","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:40:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j5UOb/GAbnPlOZ2DDxplIeU2IYQ3CBBrvkBV2kAmKtB9/+9RVFV8YpobjszOTU5kEP7GTuiCL1F6blZDoQ4fAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T09:06:41.411227Z"},"content_sha256":"d0bfdbc5330e76facee783dc2c01b92d12944a8f48091a79fadabf9334e53e52","schema_version":"1.0","event_id":"sha256:d0bfdbc5330e76facee783dc2c01b92d12944a8f48091a79fadabf9334e53e52"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TXEAXJRC7I3DHUX6XV5FCHMQIW/bundle.json","state_url":"https://pith.science/pith/TXEAXJRC7I3DHUX6XV5FCHMQIW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TXEAXJRC7I3DHUX6XV5FCHMQIW/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":"2026-06-03T09:06:41Z","links":{"resolver":"https://pith.science/pith/TXEAXJRC7I3DHUX6XV5FCHMQIW","bundle":"https://pith.science/pith/TXEAXJRC7I3DHUX6XV5FCHMQIW/bundle.json","state":"https://pith.science/pith/TXEAXJRC7I3DHUX6XV5FCHMQIW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TXEAXJRC7I3DHUX6XV5FCHMQIW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:TXEAXJRC7I3DHUX6XV5FCHMQIW","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":"23d430a6759056ca0dc178279e1a735f177ba39699783f60a6753864110e37ef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-05-29T18:33:45Z","title_canon_sha256":"6fe27d61baa3e3ba9528b39f5d07d65796d3322be1c226573b3e369b59a5eab0"},"schema_version":"1.0","source":{"id":"1705.10352","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.10352","created_at":"2026-05-18T00:40:34Z"},{"alias_kind":"arxiv_version","alias_value":"1705.10352v2","created_at":"2026-05-18T00:40:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.10352","created_at":"2026-05-18T00:40:34Z"},{"alias_kind":"pith_short_12","alias_value":"TXEAXJRC7I3D","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"TXEAXJRC7I3DHUX6","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"TXEAXJRC","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:d0bfdbc5330e76facee783dc2c01b92d12944a8f48091a79fadabf9334e53e52","target":"graph","created_at":"2026-05-18T00:40:34Z","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"},"paper":{"abstract_excerpt":"We study a two-dimensional free boundary problem that models motility of eukaryotic cells on substrates. This problem consists of an elliptic equation describing the flow of cytoskeleton gel coupled with a convection-diffusion PDE for the density of myosin motors. The two key properties of this problem are (i) presence of the cross diffusion as in the classical Keller-Segel problem in chemotaxis and (ii) nonlinear nonlocal free boundary condition that involves curvature of the boundary. We establish the bifurcation of the traveling waves from a family of radially symmetric steady states. The t","authors_text":"Jan Fuhrmann, Leonid Berlyand, Volodymyr Rybalko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-05-29T18:33:45Z","title":"Bifurcation of traveling waves in a Keller-Segel type free boundary model of cell motility"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.10352","kind":"arxiv","version":2},"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":"sha256:83b13ae8793107c7af3d1839595b5f16b25f06430158df080edf4866d47e8054","target":"record","created_at":"2026-05-18T00:40:34Z","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":"23d430a6759056ca0dc178279e1a735f177ba39699783f60a6753864110e37ef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-05-29T18:33:45Z","title_canon_sha256":"6fe27d61baa3e3ba9528b39f5d07d65796d3322be1c226573b3e369b59a5eab0"},"schema_version":"1.0","source":{"id":"1705.10352","kind":"arxiv","version":2}},"canonical_sha256":"9dc80ba622fa3633d2febd7a511d9045b24d1d49709014ae9855e415acd1669e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9dc80ba622fa3633d2febd7a511d9045b24d1d49709014ae9855e415acd1669e","first_computed_at":"2026-05-18T00:40:34.759796Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:34.759796Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CIlgrXRD+T/0GceFB6EnnkOSVp32VwU8hTXcmtg29L2e7xjMKrqVM6Va4wdc145Gmwf1WO0+LtzXjE9GtdJpAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:34.760595Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.10352","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:83b13ae8793107c7af3d1839595b5f16b25f06430158df080edf4866d47e8054","sha256:d0bfdbc5330e76facee783dc2c01b92d12944a8f48091a79fadabf9334e53e52"],"state_sha256":"db92c29357b1592b2324a30e9ff33bf7a4587eabf1b25a81a3e2a1d295cddbe3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H0w+I3weBnjnSSl8NT9C1R9H+WR5+td+TBN+tMzN4FfNikHZ51wDBavtwM2+pwTCMQ9VJnxmj+7IW5n+JqXgCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T09:06:41.413189Z","bundle_sha256":"37ae726eb6d8d9ea1936ecac689ce836f9add039702f0835859204b2258799aa"}}