{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:KPFTTRLIYCGMHFCTECPF7JISSO","short_pith_number":"pith:KPFTTRLI","canonical_record":{"source":{"id":"2509.18429","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2025-09-22T21:21:54Z","cross_cats_sorted":["cs.NA","math-ph","math.MP"],"title_canon_sha256":"d164c2ee2dfa6b459d3bd2d3cb36fffdd6764120fda94a17e55db02e0af5c7b4","abstract_canon_sha256":"d2981f1e73b6e07e6c23addd85e2bd5587b45ca8e3bc39e6ffde412c4efb3cf0"},"schema_version":"1.0"},"canonical_sha256":"53cb39c568c08cc39453209e5fa51293a3376c49847738b6b44b2ef141813c85","source":{"kind":"arxiv","id":"2509.18429","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.18429","created_at":"2026-05-18T03:10:12Z"},{"alias_kind":"arxiv_version","alias_value":"2509.18429v3","created_at":"2026-05-18T03:10:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.18429","created_at":"2026-05-18T03:10:12Z"},{"alias_kind":"pith_short_12","alias_value":"KPFTTRLIYCGM","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"KPFTTRLIYCGMHFCT","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"KPFTTRLI","created_at":"2026-05-18T12:33:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:KPFTTRLIYCGMHFCTECPF7JISSO","target":"record","payload":{"canonical_record":{"source":{"id":"2509.18429","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2025-09-22T21:21:54Z","cross_cats_sorted":["cs.NA","math-ph","math.MP"],"title_canon_sha256":"d164c2ee2dfa6b459d3bd2d3cb36fffdd6764120fda94a17e55db02e0af5c7b4","abstract_canon_sha256":"d2981f1e73b6e07e6c23addd85e2bd5587b45ca8e3bc39e6ffde412c4efb3cf0"},"schema_version":"1.0"},"canonical_sha256":"53cb39c568c08cc39453209e5fa51293a3376c49847738b6b44b2ef141813c85","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:10:12.211814Z","signature_b64":"I0vgfOYLYS+osRBH13flFdIFVt8MZzYdLqqlammpVP4v0n2Be563VXSkaFOGmpBe/TDphPWCl8btklvdUZJxBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"53cb39c568c08cc39453209e5fa51293a3376c49847738b6b44b2ef141813c85","last_reissued_at":"2026-05-18T03:10:12.210987Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:10:12.210987Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2509.18429","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:10:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yOsadO8jAKxyLm8S2STE+PrMp8UiUewknRih2ergXMtRkv7I7V1PPzlK6nLPwi+omif6z2rdQqOk+vEj0HWQCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T14:11:54.889186Z"},"content_sha256":"e340d049021358441ed727d5c5ad6bb9844c75c7c0f4274b4bc9123cde314832","schema_version":"1.0","event_id":"sha256:e340d049021358441ed727d5c5ad6bb9844c75c7c0f4274b4bc9123cde314832"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:KPFTTRLIYCGMHFCTECPF7JISSO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"ff-bifbox: A scalable, open-source toolbox for bifurcation analysis of nonlinear PDEs","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.NA","math-ph","math.MP"],"primary_cat":"math.NA","authors_text":"Christopher M. Douglas, Pierre Jolivet","submitted_at":"2025-09-22T21:21:54Z","abstract_excerpt":"Nonlinear PDEs give rise to complex dynamics that are often difficult to analyze in state space due to their relatively large numbers of degrees of freedom, ill-conditioned operators, and changing spatial and parameter resolution requirements. This work introduces ff-bifbox: a new open-source toolbox for performing numerical branch tracing, stability/bifurcation analysis, resolvent analysis, and time integration of large, time-dependent nonlinear PDEs discretized on adaptively refined meshes in two and three spatial dimensions. Spatial discretization is handled using finite elements in FreeFEM"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.18429","kind":"arxiv","version":3},"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":"2026-05-18T03:10:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9CcMBmg9T3DP4NwbejT0qq0yxodTE6waXwMsfqjKLI5OIjJc3pPTbJ7pAirz7uizrZ7ilR/HAOJDWLosO1/yCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T14:11:54.889580Z"},"content_sha256":"3f141fad7b642a4829e8a4028a90a3686abca92621f28d45d897ce8cbd23b834","schema_version":"1.0","event_id":"sha256:3f141fad7b642a4829e8a4028a90a3686abca92621f28d45d897ce8cbd23b834"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KPFTTRLIYCGMHFCTECPF7JISSO/bundle.json","state_url":"https://pith.science/pith/KPFTTRLIYCGMHFCTECPF7JISSO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KPFTTRLIYCGMHFCTECPF7JISSO/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":"2026-05-21T14:11:54Z","links":{"resolver":"https://pith.science/pith/KPFTTRLIYCGMHFCTECPF7JISSO","bundle":"https://pith.science/pith/KPFTTRLIYCGMHFCTECPF7JISSO/bundle.json","state":"https://pith.science/pith/KPFTTRLIYCGMHFCTECPF7JISSO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KPFTTRLIYCGMHFCTECPF7JISSO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:KPFTTRLIYCGMHFCTECPF7JISSO","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":"d2981f1e73b6e07e6c23addd85e2bd5587b45ca8e3bc39e6ffde412c4efb3cf0","cross_cats_sorted":["cs.NA","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2025-09-22T21:21:54Z","title_canon_sha256":"d164c2ee2dfa6b459d3bd2d3cb36fffdd6764120fda94a17e55db02e0af5c7b4"},"schema_version":"1.0","source":{"id":"2509.18429","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.18429","created_at":"2026-05-18T03:10:12Z"},{"alias_kind":"arxiv_version","alias_value":"2509.18429v3","created_at":"2026-05-18T03:10:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.18429","created_at":"2026-05-18T03:10:12Z"},{"alias_kind":"pith_short_12","alias_value":"KPFTTRLIYCGM","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"KPFTTRLIYCGMHFCT","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"KPFTTRLI","created_at":"2026-05-18T12:33:37Z"}],"graph_snapshots":[{"event_id":"sha256:3f141fad7b642a4829e8a4028a90a3686abca92621f28d45d897ce8cbd23b834","target":"graph","created_at":"2026-05-18T03:10:12Z","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":"Nonlinear PDEs give rise to complex dynamics that are often difficult to analyze in state space due to their relatively large numbers of degrees of freedom, ill-conditioned operators, and changing spatial and parameter resolution requirements. This work introduces ff-bifbox: a new open-source toolbox for performing numerical branch tracing, stability/bifurcation analysis, resolvent analysis, and time integration of large, time-dependent nonlinear PDEs discretized on adaptively refined meshes in two and three spatial dimensions. Spatial discretization is handled using finite elements in FreeFEM","authors_text":"Christopher M. Douglas, Pierre Jolivet","cross_cats":["cs.NA","math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2025-09-22T21:21:54Z","title":"ff-bifbox: A scalable, open-source toolbox for bifurcation analysis of nonlinear PDEs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.18429","kind":"arxiv","version":3},"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:e340d049021358441ed727d5c5ad6bb9844c75c7c0f4274b4bc9123cde314832","target":"record","created_at":"2026-05-18T03:10:12Z","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":"d2981f1e73b6e07e6c23addd85e2bd5587b45ca8e3bc39e6ffde412c4efb3cf0","cross_cats_sorted":["cs.NA","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2025-09-22T21:21:54Z","title_canon_sha256":"d164c2ee2dfa6b459d3bd2d3cb36fffdd6764120fda94a17e55db02e0af5c7b4"},"schema_version":"1.0","source":{"id":"2509.18429","kind":"arxiv","version":3}},"canonical_sha256":"53cb39c568c08cc39453209e5fa51293a3376c49847738b6b44b2ef141813c85","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"53cb39c568c08cc39453209e5fa51293a3376c49847738b6b44b2ef141813c85","first_computed_at":"2026-05-18T03:10:12.210987Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:10:12.210987Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I0vgfOYLYS+osRBH13flFdIFVt8MZzYdLqqlammpVP4v0n2Be563VXSkaFOGmpBe/TDphPWCl8btklvdUZJxBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:10:12.211814Z","signed_message":"canonical_sha256_bytes"},"source_id":"2509.18429","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e340d049021358441ed727d5c5ad6bb9844c75c7c0f4274b4bc9123cde314832","sha256:3f141fad7b642a4829e8a4028a90a3686abca92621f28d45d897ce8cbd23b834"],"state_sha256":"d7b112fce317aa218123d32cfbed59142df7dd2c825cdc5bbf53ef10167f6821"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"diA07TRIGu0KsxeUUYaySzpTOyAAhUCTX0+10ZgSQaTS4QO2HFqZuuUiwpYpR3ChS4Z+krZgREJ5BJRG6AOjBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T14:11:54.891672Z","bundle_sha256":"635be6dcba567cca6817c3775df368bcc923a68a54a4a534408d345be3bf3000"}}