{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:VDPNIGIFO2RMCVJL6S6UV7RAJQ","short_pith_number":"pith:VDPNIGIF","canonical_record":{"source":{"id":"1811.08130","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-11-20T09:00:56Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"5452586dc3cecc5c850e508aeb35ec0675c153d5000088d95ed392f4e83c2508","abstract_canon_sha256":"79d7d295d0aa60f343afdc0828368a4287e501c8bb0bbbbe2758750b451c9e83"},"schema_version":"1.0"},"canonical_sha256":"a8ded4190576a2c1552bf4bd4afe204c1979a588b641c6436494a57ae27cf513","source":{"kind":"arxiv","id":"1811.08130","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.08130","created_at":"2026-05-18T00:00:16Z"},{"alias_kind":"arxiv_version","alias_value":"1811.08130v1","created_at":"2026-05-18T00:00:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.08130","created_at":"2026-05-18T00:00:16Z"},{"alias_kind":"pith_short_12","alias_value":"VDPNIGIFO2RM","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"VDPNIGIFO2RMCVJL","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"VDPNIGIF","created_at":"2026-05-18T12:32:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:VDPNIGIFO2RMCVJL6S6UV7RAJQ","target":"record","payload":{"canonical_record":{"source":{"id":"1811.08130","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-11-20T09:00:56Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"5452586dc3cecc5c850e508aeb35ec0675c153d5000088d95ed392f4e83c2508","abstract_canon_sha256":"79d7d295d0aa60f343afdc0828368a4287e501c8bb0bbbbe2758750b451c9e83"},"schema_version":"1.0"},"canonical_sha256":"a8ded4190576a2c1552bf4bd4afe204c1979a588b641c6436494a57ae27cf513","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:16.782815Z","signature_b64":"e/ID/ia2nMGhgppfeipnTPVYQ2HbXnXsKJNWV76QtBqmnMXmxUR2WjYpHdD+FFPeOyDiXTSLXgrwzfzcCoXqBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a8ded4190576a2c1552bf4bd4afe204c1979a588b641c6436494a57ae27cf513","last_reissued_at":"2026-05-18T00:00:16.781965Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:16.781965Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.08130","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":"2026-05-18T00:00:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b12QSUheuHa18FEr/CmCn58DmNKioF6wYXXW6ylLbaa27/mIJDj8bPvWrwdCZCS75p+2dPKWlcjvogB4xG6VBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T13:00:22.874957Z"},"content_sha256":"b1ff3113161654b904bd00743870ff532ab69b0c7598a4bb23062c4d973421ac","schema_version":"1.0","event_id":"sha256:b1ff3113161654b904bd00743870ff532ab69b0c7598a4bb23062c4d973421ac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:VDPNIGIFO2RMCVJL6S6UV7RAJQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Blowup stability at optimal regularity for the critical wave equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Roland Donninger, Ziping Rao","submitted_at":"2018-11-20T09:00:56Z","abstract_excerpt":"We establish Strichartz estimates for the radial energy-critical wave equation in 5 dimensions in similarity coordinates. Using these, we prove the nonlinear asymptotic stability of the ODE blowup in the energy space."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.08130","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":"2026-05-18T00:00:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DZtll01a6FX85PUMBL/wNQNDD70Ib14nhGrHS6dLZkv7xvKoI31zdVKyBmJAOWgCh9CqVynOw/UTo7M96s09Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T13:00:22.875417Z"},"content_sha256":"271d3a1b2cb7cedac33a8bd4fbb813024c4c3e2179df6b7abffcfd3fbeb927d2","schema_version":"1.0","event_id":"sha256:271d3a1b2cb7cedac33a8bd4fbb813024c4c3e2179df6b7abffcfd3fbeb927d2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VDPNIGIFO2RMCVJL6S6UV7RAJQ/bundle.json","state_url":"https://pith.science/pith/VDPNIGIFO2RMCVJL6S6UV7RAJQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VDPNIGIFO2RMCVJL6S6UV7RAJQ/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":"2026-08-16T13:00:22Z","links":{"resolver":"https://pith.science/pith/VDPNIGIFO2RMCVJL6S6UV7RAJQ","bundle":"https://pith.science/pith/VDPNIGIFO2RMCVJL6S6UV7RAJQ/bundle.json","state":"https://pith.science/pith/VDPNIGIFO2RMCVJL6S6UV7RAJQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VDPNIGIFO2RMCVJL6S6UV7RAJQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:VDPNIGIFO2RMCVJL6S6UV7RAJQ","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":"79d7d295d0aa60f343afdc0828368a4287e501c8bb0bbbbe2758750b451c9e83","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-11-20T09:00:56Z","title_canon_sha256":"5452586dc3cecc5c850e508aeb35ec0675c153d5000088d95ed392f4e83c2508"},"schema_version":"1.0","source":{"id":"1811.08130","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.08130","created_at":"2026-05-18T00:00:16Z"},{"alias_kind":"arxiv_version","alias_value":"1811.08130v1","created_at":"2026-05-18T00:00:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.08130","created_at":"2026-05-18T00:00:16Z"},{"alias_kind":"pith_short_12","alias_value":"VDPNIGIFO2RM","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"VDPNIGIFO2RMCVJL","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"VDPNIGIF","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:271d3a1b2cb7cedac33a8bd4fbb813024c4c3e2179df6b7abffcfd3fbeb927d2","target":"graph","created_at":"2026-05-18T00:00:16Z","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 establish Strichartz estimates for the radial energy-critical wave equation in 5 dimensions in similarity coordinates. Using these, we prove the nonlinear asymptotic stability of the ODE blowup in the energy space.","authors_text":"Roland Donninger, Ziping Rao","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-11-20T09:00:56Z","title":"Blowup stability at optimal regularity for the critical wave equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.08130","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:b1ff3113161654b904bd00743870ff532ab69b0c7598a4bb23062c4d973421ac","target":"record","created_at":"2026-05-18T00:00:16Z","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":"79d7d295d0aa60f343afdc0828368a4287e501c8bb0bbbbe2758750b451c9e83","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-11-20T09:00:56Z","title_canon_sha256":"5452586dc3cecc5c850e508aeb35ec0675c153d5000088d95ed392f4e83c2508"},"schema_version":"1.0","source":{"id":"1811.08130","kind":"arxiv","version":1}},"canonical_sha256":"a8ded4190576a2c1552bf4bd4afe204c1979a588b641c6436494a57ae27cf513","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a8ded4190576a2c1552bf4bd4afe204c1979a588b641c6436494a57ae27cf513","first_computed_at":"2026-05-18T00:00:16.781965Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:16.781965Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e/ID/ia2nMGhgppfeipnTPVYQ2HbXnXsKJNWV76QtBqmnMXmxUR2WjYpHdD+FFPeOyDiXTSLXgrwzfzcCoXqBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:16.782815Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.08130","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b1ff3113161654b904bd00743870ff532ab69b0c7598a4bb23062c4d973421ac","sha256:271d3a1b2cb7cedac33a8bd4fbb813024c4c3e2179df6b7abffcfd3fbeb927d2"],"state_sha256":"d2b967f4167f9f19f51f69adce96e13e84f72a350840e9eb8ee18156397841bb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z7YR4dl8f/Or/ezBdpina6qP5mSd6xwHn+AT5IS8oJIMDhSbEaYJe+60793DeUM7xsk+FmioRwzVKPGgAY1WBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T13:00:22.879480Z","bundle_sha256":"3d01504a2d93b6cdd72c67613a8bbfeceaae338ca70d21ac13e32dfa556fd4ef"}}