{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:5XTR2KZ52TINTQPFK635LLD3ZM","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":"c1871d1c7ae5b0de9fa058ed2c2ffae41c1c264a2170a301fac73da8685727bd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-11-06T03:15:11Z","title_canon_sha256":"4ef93a7aebbc5564e494377e32838786a59f1d24dfe96e97c0a45eae2980c272"},"schema_version":"1.0","source":{"id":"1311.1278","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.1278","created_at":"2026-05-18T01:46:38Z"},{"alias_kind":"arxiv_version","alias_value":"1311.1278v2","created_at":"2026-05-18T01:46:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.1278","created_at":"2026-05-18T01:46:38Z"},{"alias_kind":"pith_short_12","alias_value":"5XTR2KZ52TIN","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5XTR2KZ52TINTQPF","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5XTR2KZ5","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:9a661ced155ec3f52417d389518b613712fb0c7bc944e7d38129b99617a5f14c","target":"graph","created_at":"2026-05-18T01:46:38Z","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 upper bounds on the blow up rate of the gradients of solutions of the Lam\\'e system with partially infinite coefficients in dimension two as the distance between the surfaces of discontinuity of the coefficients of the system tends to zero.","authors_text":"Haigang Li, Jiguang Bao, Yanyan Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-11-06T03:15:11Z","title":"Gradient estimates for solutions of the Lam\\'{e} system with partially infinite coefficients"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.1278","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":"sha256:09ca2e56cf46d921619658d0fd8fb11368a0b094572921cc061a9afb097c8a5f","target":"record","created_at":"2026-05-18T01:46:38Z","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":"c1871d1c7ae5b0de9fa058ed2c2ffae41c1c264a2170a301fac73da8685727bd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-11-06T03:15:11Z","title_canon_sha256":"4ef93a7aebbc5564e494377e32838786a59f1d24dfe96e97c0a45eae2980c272"},"schema_version":"1.0","source":{"id":"1311.1278","kind":"arxiv","version":2}},"canonical_sha256":"ede71d2b3dd4d0d9c1e557b7d5ac7bcb2755142b026856bc05d62e571be3e2fa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ede71d2b3dd4d0d9c1e557b7d5ac7bcb2755142b026856bc05d62e571be3e2fa","first_computed_at":"2026-05-18T01:46:38.468946Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:46:38.468946Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kOan9N3yWjGrOZIbaCP9FeNvRnK6dRnxcuM+KSNHEUhfOAkbVrKZQFwDXW3ZASqAnd+jQDz9qIWYYzQ+GPXYBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:46:38.469350Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.1278","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:09ca2e56cf46d921619658d0fd8fb11368a0b094572921cc061a9afb097c8a5f","sha256:9a661ced155ec3f52417d389518b613712fb0c7bc944e7d38129b99617a5f14c"],"state_sha256":"9b940625ee29904d945b720d26314b613e494dcd9e8ca0f8a40616b4b4dcbb28"}