{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:3FGKDWA5NHQFTUCBLNRCS44BO7","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":"9eadbcf3e2d41424156948c9581b334e8720b9a908b278683e258ebd8f8c7bac","cross_cats_sorted":["math-ph","math.MP","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-10-01T17:58:38Z","title_canon_sha256":"c154cf33facacf17ccb5ffd579529ef460d174bb32c27601f7e8fcb5de6d0c23"},"schema_version":"1.0","source":{"id":"1210.0487","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.0487","created_at":"2026-05-18T03:44:22Z"},{"alias_kind":"arxiv_version","alias_value":"1210.0487v1","created_at":"2026-05-18T03:44:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.0487","created_at":"2026-05-18T03:44:22Z"},{"alias_kind":"pith_short_12","alias_value":"3FGKDWA5NHQF","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"3FGKDWA5NHQFTUCB","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"3FGKDWA5","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:c27f9085ae785ee17cff840f13e9d1a5860a8db4490b1bc1348627acbaf333b6","target":"graph","created_at":"2026-05-18T03:44:22Z","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":"General perturbations of a spherical gas bubble in a compressible and inviscid fluid with surface tension were proved in Shapiro and Weinstein (2011), in the linearized approximation, to decay exponentially, $\\sim e^{-\\Gamma t}, \\Gamma>0$, as time advances. Formal asymptotic and numerical evidence led to the conjecture that $\\Gamma \\approx \\frac{A}{\\epsilon} \\frac{We}{\\epsilon^{2}} \\exp(-B \\frac{We}{\\epsilon^2})$, where $0<\\epsilon\\ll1$ is the Mach number, We is the Weber number, and $A$ and $B$ are positive constants.\n  In this paper, we prove this conjecture and calculate $A$ and $B$ to lead","authors_text":"Michael I. Weinstein, Ovidiu Costin, Saleh Tanveer","cross_cats":["math-ph","math.MP","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-10-01T17:58:38Z","title":"The lifetime of shape oscillations of a bubble in an unbounded, inviscid and compressible fluid with surface tension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.0487","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":"sha256:2fe1e91976413b3614436f6a41bfcd1dbde5199b29dac03093fae48af7ed8199","target":"record","created_at":"2026-05-18T03:44:22Z","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":"9eadbcf3e2d41424156948c9581b334e8720b9a908b278683e258ebd8f8c7bac","cross_cats_sorted":["math-ph","math.MP","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-10-01T17:58:38Z","title_canon_sha256":"c154cf33facacf17ccb5ffd579529ef460d174bb32c27601f7e8fcb5de6d0c23"},"schema_version":"1.0","source":{"id":"1210.0487","kind":"arxiv","version":1}},"canonical_sha256":"d94ca1d81d69e059d0415b6229738177c2172223cf1b074fdec5a0a40e596aa5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d94ca1d81d69e059d0415b6229738177c2172223cf1b074fdec5a0a40e596aa5","first_computed_at":"2026-05-18T03:44:22.342296Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:44:22.342296Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aJFXXXzcyQXNRtSlnZnUyp0d3B5CYLI1/oiJ2QaIicztLVBDCZvXHMxyEJiORPvlWeQ+MGUTJZdElwpR3u3kDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:44:22.342822Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.0487","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2fe1e91976413b3614436f6a41bfcd1dbde5199b29dac03093fae48af7ed8199","sha256:c27f9085ae785ee17cff840f13e9d1a5860a8db4490b1bc1348627acbaf333b6"],"state_sha256":"55b09cf73a545a36037450469a9aa86a0b6cfbd7670368890a33838ef192b7cb"}