{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:CW5C7HPGZRTASEDG3ZZ7TJER5F","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":"1d08a848c1961b1d0cacd02d5cd77e118652ed52cd3e377bf51bd813e83463bb","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2022-08-19T16:56:36Z","title_canon_sha256":"c46622572aee65beb3b065b26a1ac59da5089797beb3194d85828b24ebb7c72d"},"schema_version":"1.0","source":{"id":"2208.09445","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2208.09445","created_at":"2026-07-05T10:51:17Z"},{"alias_kind":"arxiv_version","alias_value":"2208.09445v2","created_at":"2026-07-05T10:51:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.09445","created_at":"2026-07-05T10:51:17Z"},{"alias_kind":"pith_short_12","alias_value":"CW5C7HPGZRTA","created_at":"2026-07-05T10:51:17Z"},{"alias_kind":"pith_short_16","alias_value":"CW5C7HPGZRTASEDG","created_at":"2026-07-05T10:51:17Z"},{"alias_kind":"pith_short_8","alias_value":"CW5C7HPG","created_at":"2026-07-05T10:51:17Z"}],"graph_snapshots":[{"event_id":"sha256:307074e51b7eb1d474f6c25a5ef75539064195cd2cd16acc32019439cd622636","target":"graph","created_at":"2026-07-05T10:51:17Z","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/2208.09445/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Building upon the pioneering work [Merle, Rapha\\\"el, Rodnianski, and Szeftel, Ann. of Math., 196(2):567-778, 2022, Ann. of Math., 196(2):779-889, 2022, Invent. Math., 227(1):247-413, 2022] we construct exact, smooth self-similar imploding solutions to the 3D isentropic compressible Euler equations for ideal gases for all adiabatic exponents $\\gamma>1$. For the particular case $\\gamma=\\frac75$ (corresponding to a diatomic gas, e.g. oxygen, hydrogen, nitrogen), akin to the previous result, we show the existence of a sequence of smooth, self-similar imploding solutions. In addition, we provide si","authors_text":"Gonzalo Cao-Labora, Javier G\\'omez-Serrano, Tristan Buckmaster","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2022-08-19T16:56:36Z","title":"Smooth imploding solutions for 3D compressible fluids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.09445","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":"sha256:02ba4fcaebb3c6e1368f372f3db37d57ba3e3a7bacb39a8bb8f1663b91893411","target":"record","created_at":"2026-07-05T10:51:17Z","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":"1d08a848c1961b1d0cacd02d5cd77e118652ed52cd3e377bf51bd813e83463bb","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2022-08-19T16:56:36Z","title_canon_sha256":"c46622572aee65beb3b065b26a1ac59da5089797beb3194d85828b24ebb7c72d"},"schema_version":"1.0","source":{"id":"2208.09445","kind":"arxiv","version":2}},"canonical_sha256":"15ba2f9de6cc66091066de73f9a491e97f178549dd7c0a89dc69340d9f86b6e9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"15ba2f9de6cc66091066de73f9a491e97f178549dd7c0a89dc69340d9f86b6e9","first_computed_at":"2026-07-05T10:51:17.416565Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:51:17.416565Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+DGpGgP6zU+jp6yeRQCoF9KsJoh+x+AULeXT1X2E4gXA8yzjy0e01BmNmXeqI9msO49yr3iu9JFhZl+AytbLAA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:51:17.417110Z","signed_message":"canonical_sha256_bytes"},"source_id":"2208.09445","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:02ba4fcaebb3c6e1368f372f3db37d57ba3e3a7bacb39a8bb8f1663b91893411","sha256:307074e51b7eb1d474f6c25a5ef75539064195cd2cd16acc32019439cd622636"],"state_sha256":"db654044378a0ea443360cdfb4a4f05c0f04c66bab5cf9af293a741a18e1ca97"}