{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:NNLNHQPVE2EN7ZR7X7DJI667JR","short_pith_number":"pith:NNLNHQPV","canonical_record":{"source":{"id":"1604.00237","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-04-01T13:40:45Z","cross_cats_sorted":[],"title_canon_sha256":"35d19f526a936f70656ace48551bea0c4cbf03a8d78a56842a605a0c4fb56cd4","abstract_canon_sha256":"1d5fd133773aceabbedb420d5508e15d6391474838d2a8cc8cb0a042a75cc4fe"},"schema_version":"1.0"},"canonical_sha256":"6b56d3c1f52688dfe63fbfc6947bdf4c44c613b0cb807196a21b8fe505c02124","source":{"kind":"arxiv","id":"1604.00237","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.00237","created_at":"2026-05-18T00:47:15Z"},{"alias_kind":"arxiv_version","alias_value":"1604.00237v1","created_at":"2026-05-18T00:47:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.00237","created_at":"2026-05-18T00:47:15Z"},{"alias_kind":"pith_short_12","alias_value":"NNLNHQPVE2EN","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"NNLNHQPVE2EN7ZR7","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"NNLNHQPV","created_at":"2026-05-18T12:30:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:NNLNHQPVE2EN7ZR7X7DJI667JR","target":"record","payload":{"canonical_record":{"source":{"id":"1604.00237","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-04-01T13:40:45Z","cross_cats_sorted":[],"title_canon_sha256":"35d19f526a936f70656ace48551bea0c4cbf03a8d78a56842a605a0c4fb56cd4","abstract_canon_sha256":"1d5fd133773aceabbedb420d5508e15d6391474838d2a8cc8cb0a042a75cc4fe"},"schema_version":"1.0"},"canonical_sha256":"6b56d3c1f52688dfe63fbfc6947bdf4c44c613b0cb807196a21b8fe505c02124","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:47:15.139369Z","signature_b64":"bBMr3iow/VWU0wJhN0kXI05mFdyCyD7HzYpgE8cFDHjWaePZfxho54ROJUUodYutdAV/CVjmixvTWr7UPoRwCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6b56d3c1f52688dfe63fbfc6947bdf4c44c613b0cb807196a21b8fe505c02124","last_reissued_at":"2026-05-18T00:47:15.138576Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:47:15.138576Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.00237","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":"2026-05-18T00:47:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TG6TmE/8mFwjxi9K8f3HNQHoIvRzab6Dey64AQ3GaZA8MpcVZQkcS8cZZ6XtbQjTg4Xy1DV/GkDbhJGvO/K0Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T19:49:53.298841Z"},"content_sha256":"84ea83970cdca3a8b2262de868665ccc2904bd5317f5633e58b89a88d9b9a4c2","schema_version":"1.0","event_id":"sha256:84ea83970cdca3a8b2262de868665ccc2904bd5317f5633e58b89a88d9b9a4c2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:NNLNHQPVE2EN7ZR7X7DJI667JR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Super-linear spreading in local bistable cane toads equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Christopher Henderson (NUMED, Emeric Bouin (CEREMADE), UMPA-ENSL)","submitted_at":"2016-04-01T13:40:45Z","abstract_excerpt":"In this paper, we study the influence of an Allee effect on the spreading rate in a local reaction-diffusion-mutation equation modelling the invasion of cane toads in Australia. We are, in particular, concerned with the case when the diffusivity can take unbounded values. We show that the acceleration feature that arises in this model with a Fisher-KPP, or monostable, non-linearity still occurs when this non-linearity is instead bistable, despite the fact that this kills the small populations. This is in stark contrast to the work of Alfaro, Gui-Huan, and Mellet-Roquejoffre-Sire in related mod"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.00237","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":""},"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":"2026-05-18T00:47:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/qpwMbfVzbrtS6UHYsjOEUmJjTXqyUQOu+F4oiKseSNJXERv6JyQihhBfWVOXW7MiBzq6p/wHJFId6kvQjcLAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T19:49:53.299543Z"},"content_sha256":"7a05258ab80c76792a2ab9a9112a205f8a6e67dcb5b875802f04aacc1668c189","schema_version":"1.0","event_id":"sha256:7a05258ab80c76792a2ab9a9112a205f8a6e67dcb5b875802f04aacc1668c189"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NNLNHQPVE2EN7ZR7X7DJI667JR/bundle.json","state_url":"https://pith.science/pith/NNLNHQPVE2EN7ZR7X7DJI667JR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NNLNHQPVE2EN7ZR7X7DJI667JR/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":"2026-05-31T19:49:53Z","links":{"resolver":"https://pith.science/pith/NNLNHQPVE2EN7ZR7X7DJI667JR","bundle":"https://pith.science/pith/NNLNHQPVE2EN7ZR7X7DJI667JR/bundle.json","state":"https://pith.science/pith/NNLNHQPVE2EN7ZR7X7DJI667JR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NNLNHQPVE2EN7ZR7X7DJI667JR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:NNLNHQPVE2EN7ZR7X7DJI667JR","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":"1d5fd133773aceabbedb420d5508e15d6391474838d2a8cc8cb0a042a75cc4fe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-04-01T13:40:45Z","title_canon_sha256":"35d19f526a936f70656ace48551bea0c4cbf03a8d78a56842a605a0c4fb56cd4"},"schema_version":"1.0","source":{"id":"1604.00237","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.00237","created_at":"2026-05-18T00:47:15Z"},{"alias_kind":"arxiv_version","alias_value":"1604.00237v1","created_at":"2026-05-18T00:47:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.00237","created_at":"2026-05-18T00:47:15Z"},{"alias_kind":"pith_short_12","alias_value":"NNLNHQPVE2EN","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"NNLNHQPVE2EN7ZR7","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"NNLNHQPV","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:7a05258ab80c76792a2ab9a9112a205f8a6e67dcb5b875802f04aacc1668c189","target":"graph","created_at":"2026-05-18T00:47:15Z","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":"In this paper, we study the influence of an Allee effect on the spreading rate in a local reaction-diffusion-mutation equation modelling the invasion of cane toads in Australia. We are, in particular, concerned with the case when the diffusivity can take unbounded values. We show that the acceleration feature that arises in this model with a Fisher-KPP, or monostable, non-linearity still occurs when this non-linearity is instead bistable, despite the fact that this kills the small populations. This is in stark contrast to the work of Alfaro, Gui-Huan, and Mellet-Roquejoffre-Sire in related mod","authors_text":"Christopher Henderson (NUMED, Emeric Bouin (CEREMADE), UMPA-ENSL)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-04-01T13:40:45Z","title":"Super-linear spreading in local bistable cane toads equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.00237","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":"sha256:84ea83970cdca3a8b2262de868665ccc2904bd5317f5633e58b89a88d9b9a4c2","target":"record","created_at":"2026-05-18T00:47:15Z","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":"1d5fd133773aceabbedb420d5508e15d6391474838d2a8cc8cb0a042a75cc4fe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-04-01T13:40:45Z","title_canon_sha256":"35d19f526a936f70656ace48551bea0c4cbf03a8d78a56842a605a0c4fb56cd4"},"schema_version":"1.0","source":{"id":"1604.00237","kind":"arxiv","version":1}},"canonical_sha256":"6b56d3c1f52688dfe63fbfc6947bdf4c44c613b0cb807196a21b8fe505c02124","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6b56d3c1f52688dfe63fbfc6947bdf4c44c613b0cb807196a21b8fe505c02124","first_computed_at":"2026-05-18T00:47:15.138576Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:47:15.138576Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bBMr3iow/VWU0wJhN0kXI05mFdyCyD7HzYpgE8cFDHjWaePZfxho54ROJUUodYutdAV/CVjmixvTWr7UPoRwCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:47:15.139369Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.00237","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:84ea83970cdca3a8b2262de868665ccc2904bd5317f5633e58b89a88d9b9a4c2","sha256:7a05258ab80c76792a2ab9a9112a205f8a6e67dcb5b875802f04aacc1668c189"],"state_sha256":"fef13982dedf82b7833a8755c5b5af02651a06618a90ea15688108bc336c2109"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OEDwcYk5MCg4R+/29dhyIObnfpfJQ2Dkj5xZqOyu2mssz+oOyDFJkIREabtYGLqYOlBDCnwZErGLnD6g95gZDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T19:49:53.303554Z","bundle_sha256":"540337ea8cd321088cba5d190abfbb28653761a5080e0bb275b44ab4a5ce5833"}}