{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:4BWYNK4USSVTTNBCWPT4N5DMGY","short_pith_number":"pith:4BWYNK4U","canonical_record":{"source":{"id":"1708.04385","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-08-15T02:43:48Z","cross_cats_sorted":[],"title_canon_sha256":"11740d04a43b47d31ef1a98063a479b831d421856155b64feedcb8d9a73bd33e","abstract_canon_sha256":"399e238e69b429784345e6d6d31298213c7d812b8ed4238e0cd27cd85406ba60"},"schema_version":"1.0"},"canonical_sha256":"e06d86ab9494ab39b422b3e7c6f46c362faa07f36babaabd57f0bb4c41c139e9","source":{"kind":"arxiv","id":"1708.04385","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.04385","created_at":"2026-05-18T00:37:59Z"},{"alias_kind":"arxiv_version","alias_value":"1708.04385v1","created_at":"2026-05-18T00:37:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.04385","created_at":"2026-05-18T00:37:59Z"},{"alias_kind":"pith_short_12","alias_value":"4BWYNK4USSVT","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"4BWYNK4USSVTTNBC","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"4BWYNK4U","created_at":"2026-05-18T12:30:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:4BWYNK4USSVTTNBCWPT4N5DMGY","target":"record","payload":{"canonical_record":{"source":{"id":"1708.04385","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-08-15T02:43:48Z","cross_cats_sorted":[],"title_canon_sha256":"11740d04a43b47d31ef1a98063a479b831d421856155b64feedcb8d9a73bd33e","abstract_canon_sha256":"399e238e69b429784345e6d6d31298213c7d812b8ed4238e0cd27cd85406ba60"},"schema_version":"1.0"},"canonical_sha256":"e06d86ab9494ab39b422b3e7c6f46c362faa07f36babaabd57f0bb4c41c139e9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:37:59.491442Z","signature_b64":"MTKkc+MWjE1I4Y+0XdOzjeyVurtqeTKM+OROhlS/1DcoTKHuvU0mKP4WJwWOO0/s1nX66zs7NVGOXANKStfYBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e06d86ab9494ab39b422b3e7c6f46c362faa07f36babaabd57f0bb4c41c139e9","last_reissued_at":"2026-05-18T00:37:59.490710Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:37:59.490710Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.04385","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":"2026-05-18T00:37:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E8TLoA3E7AhPAV8eSjiL3GeJtbjPQMfGQSSGSiinsk8I1sEB0R+FNEhG21nbaDXx1shTzMOxcG1cIcEjC0l3AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T00:08:44.894643Z"},"content_sha256":"f46f150955415dc4d0ed07a5923108c9944f8fd66f4e0ae53bb255b88be39d7e","schema_version":"1.0","event_id":"sha256:f46f150955415dc4d0ed07a5923108c9944f8fd66f4e0ae53bb255b88be39d7e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:4BWYNK4USSVTTNBCWPT4N5DMGY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two-parameter asymptotic expansions for elliptic equations with small geometric perturbation and high contrast ratio","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Jingrun Chen, Ling Lin, Xiang Zhou, Zhiwen Zhang","submitted_at":"2017-08-15T02:43:48Z","abstract_excerpt":"We consider the asymptotic solutions of an interface problem corresponding to an elliptic partial differential equation with Dirich- let boundary condition and transmission condition, subject to the small geometric perturbation and the high contrast ratio of the conductivity. We consider two types of perturbations: the first corresponds to a thin layer coating a fixed bounded domain and the second is the per perturbation of the interface. As the perturbation size tends to zero and the ratio of the conductivities in two subdomains tends to zero, the two-parameter asymptotic expansions on the fi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.04385","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":"2026-05-18T00:37:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/G8jHMutDthC6haocz/9ltTHRbbYPrGeLuCen+dyR7FqFFDoefgv3LHj2FSZoylYP38rtE7NdgfYbB206KxnBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T00:08:44.895292Z"},"content_sha256":"9735aaf9c3b559fedb48ba3ea065fa8787df3efdea2c0fb826c3596b809d1c89","schema_version":"1.0","event_id":"sha256:9735aaf9c3b559fedb48ba3ea065fa8787df3efdea2c0fb826c3596b809d1c89"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4BWYNK4USSVTTNBCWPT4N5DMGY/bundle.json","state_url":"https://pith.science/pith/4BWYNK4USSVTTNBCWPT4N5DMGY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4BWYNK4USSVTTNBCWPT4N5DMGY/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":"2026-05-30T00:08:44Z","links":{"resolver":"https://pith.science/pith/4BWYNK4USSVTTNBCWPT4N5DMGY","bundle":"https://pith.science/pith/4BWYNK4USSVTTNBCWPT4N5DMGY/bundle.json","state":"https://pith.science/pith/4BWYNK4USSVTTNBCWPT4N5DMGY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4BWYNK4USSVTTNBCWPT4N5DMGY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:4BWYNK4USSVTTNBCWPT4N5DMGY","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":"399e238e69b429784345e6d6d31298213c7d812b8ed4238e0cd27cd85406ba60","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-08-15T02:43:48Z","title_canon_sha256":"11740d04a43b47d31ef1a98063a479b831d421856155b64feedcb8d9a73bd33e"},"schema_version":"1.0","source":{"id":"1708.04385","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.04385","created_at":"2026-05-18T00:37:59Z"},{"alias_kind":"arxiv_version","alias_value":"1708.04385v1","created_at":"2026-05-18T00:37:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.04385","created_at":"2026-05-18T00:37:59Z"},{"alias_kind":"pith_short_12","alias_value":"4BWYNK4USSVT","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"4BWYNK4USSVTTNBC","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"4BWYNK4U","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:9735aaf9c3b559fedb48ba3ea065fa8787df3efdea2c0fb826c3596b809d1c89","target":"graph","created_at":"2026-05-18T00:37:59Z","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 consider the asymptotic solutions of an interface problem corresponding to an elliptic partial differential equation with Dirich- let boundary condition and transmission condition, subject to the small geometric perturbation and the high contrast ratio of the conductivity. We consider two types of perturbations: the first corresponds to a thin layer coating a fixed bounded domain and the second is the per perturbation of the interface. As the perturbation size tends to zero and the ratio of the conductivities in two subdomains tends to zero, the two-parameter asymptotic expansions on the fi","authors_text":"Jingrun Chen, Ling Lin, Xiang Zhou, Zhiwen Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-08-15T02:43:48Z","title":"Two-parameter asymptotic expansions for elliptic equations with small geometric perturbation and high contrast ratio"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.04385","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:f46f150955415dc4d0ed07a5923108c9944f8fd66f4e0ae53bb255b88be39d7e","target":"record","created_at":"2026-05-18T00:37:59Z","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":"399e238e69b429784345e6d6d31298213c7d812b8ed4238e0cd27cd85406ba60","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-08-15T02:43:48Z","title_canon_sha256":"11740d04a43b47d31ef1a98063a479b831d421856155b64feedcb8d9a73bd33e"},"schema_version":"1.0","source":{"id":"1708.04385","kind":"arxiv","version":1}},"canonical_sha256":"e06d86ab9494ab39b422b3e7c6f46c362faa07f36babaabd57f0bb4c41c139e9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e06d86ab9494ab39b422b3e7c6f46c362faa07f36babaabd57f0bb4c41c139e9","first_computed_at":"2026-05-18T00:37:59.490710Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:59.490710Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MTKkc+MWjE1I4Y+0XdOzjeyVurtqeTKM+OROhlS/1DcoTKHuvU0mKP4WJwWOO0/s1nX66zs7NVGOXANKStfYBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:59.491442Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.04385","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f46f150955415dc4d0ed07a5923108c9944f8fd66f4e0ae53bb255b88be39d7e","sha256:9735aaf9c3b559fedb48ba3ea065fa8787df3efdea2c0fb826c3596b809d1c89"],"state_sha256":"5dc44c2698c16aaa813ea0dae44f6d3e1471120176073fa6989c5e410a906296"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"55NQjn4vCEAlEtsDcPqwkEWsPmR8wZdSUN4WNnibtNRK0lth1/KbyJizJ1JEouSrpccGeaQeLCNCyYlExkwdBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T00:08:44.898615Z","bundle_sha256":"11f19b1a1570e642c7af384eb7beda699f6ab02bff5dbe8f21c567e7b7fbea8e"}}