{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:OFDVSVJIELQ76IODMC5L6AXXHB","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":"523195fc1b88fcd65eee7e72d0e6495c49fc3d916611a2fc3d4bddee52799401","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-01-08T22:11:48Z","title_canon_sha256":"fca35cd0f6d6cb9225bdb4fe753e02f83bcdd73c83ac7596bff69d05bbe7c8fd"},"schema_version":"1.0","source":{"id":"1301.1709","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.1709","created_at":"2026-05-18T03:36:56Z"},{"alias_kind":"arxiv_version","alias_value":"1301.1709v1","created_at":"2026-05-18T03:36:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.1709","created_at":"2026-05-18T03:36:56Z"},{"alias_kind":"pith_short_12","alias_value":"OFDVSVJIELQ7","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"OFDVSVJIELQ76IOD","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"OFDVSVJI","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:b85f511aefe5edfacccf24345c9542d2b73cfa1f3a53bd8070e5fe69efbd06a4","target":"graph","created_at":"2026-05-18T03:36:56Z","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 study the large-time behavior of the free boundary position capturing the one-dimensional motion of the carbonation reaction front in concrete-based materials. We extend here our rigorous justification of the $\\sqrt{t}$-behavior of reaction penetration depths by including non-linear effects due to deviations from the classical Henry's law and time-dependent Dirichlet data.","authors_text":"Adrian Muntean, Toyohiko Aiki","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-01-08T22:11:48Z","title":"Large-time asymptotics of moving-reaction interfaces involving nonlinear Henry's law and time-dependent Dirichlet data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.1709","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":"sha256:2dc20eb0b701ebcb70652f76c0f09244011457c9eaea6c6bca874739da3c691d","target":"record","created_at":"2026-05-18T03:36:56Z","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":"523195fc1b88fcd65eee7e72d0e6495c49fc3d916611a2fc3d4bddee52799401","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-01-08T22:11:48Z","title_canon_sha256":"fca35cd0f6d6cb9225bdb4fe753e02f83bcdd73c83ac7596bff69d05bbe7c8fd"},"schema_version":"1.0","source":{"id":"1301.1709","kind":"arxiv","version":1}},"canonical_sha256":"714759552822e1ff21c360babf02f738790e1e0f9cd267e68d53a06dcb644354","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"714759552822e1ff21c360babf02f738790e1e0f9cd267e68d53a06dcb644354","first_computed_at":"2026-05-18T03:36:56.071591Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:36:56.071591Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L4MN6B7E+QituHcecYnbhA3X/Ifytjq93aQyQWyc9ZUtmZfi3YnmSWuuryz6R4XmVW4433K1VfU9EOLbXip5CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:36:56.071977Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.1709","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2dc20eb0b701ebcb70652f76c0f09244011457c9eaea6c6bca874739da3c691d","sha256:b85f511aefe5edfacccf24345c9542d2b73cfa1f3a53bd8070e5fe69efbd06a4"],"state_sha256":"e033ac394fd15b2bd3b379faf9db04cda9cf3e5bd3f4e57f4256e8479752d647"}