{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:XCPRITZQKNPNO7ETYXCJL3I2DD","short_pith_number":"pith:XCPRITZQ","canonical_record":{"source":{"id":"1604.06711","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-04-21T07:23:05Z","cross_cats_sorted":[],"title_canon_sha256":"4819fa8c172d01c42ce0ef1bf336a5d504ff642a403770f4d67deb42fc3a6f85","abstract_canon_sha256":"1574982db92c1bfdbd7a92c4bd4cd2cc992440edef0a790f2d087f0de4379536"},"schema_version":"1.0"},"canonical_sha256":"b89f144f30535ed77c93c5c495ed1a18d38c72c150fa67c65add191525ec6a20","source":{"kind":"arxiv","id":"1604.06711","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.06711","created_at":"2026-05-18T00:25:12Z"},{"alias_kind":"arxiv_version","alias_value":"1604.06711v1","created_at":"2026-05-18T00:25:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.06711","created_at":"2026-05-18T00:25:12Z"},{"alias_kind":"pith_short_12","alias_value":"XCPRITZQKNPN","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XCPRITZQKNPNO7ET","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XCPRITZQ","created_at":"2026-05-18T12:30:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:XCPRITZQKNPNO7ETYXCJL3I2DD","target":"record","payload":{"canonical_record":{"source":{"id":"1604.06711","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-04-21T07:23:05Z","cross_cats_sorted":[],"title_canon_sha256":"4819fa8c172d01c42ce0ef1bf336a5d504ff642a403770f4d67deb42fc3a6f85","abstract_canon_sha256":"1574982db92c1bfdbd7a92c4bd4cd2cc992440edef0a790f2d087f0de4379536"},"schema_version":"1.0"},"canonical_sha256":"b89f144f30535ed77c93c5c495ed1a18d38c72c150fa67c65add191525ec6a20","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:12.017897Z","signature_b64":"WPRZS+ktIWkZ3ABR3HJMTHZ+KnOThBUPVbjgs8Ca00TnGs8ARhhgbEI8ZWUaErSFo3sPI+Gu+uzcKQw0wXKUBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b89f144f30535ed77c93c5c495ed1a18d38c72c150fa67c65add191525ec6a20","last_reissued_at":"2026-05-18T00:25:12.017493Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:12.017493Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.06711","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":"2026-05-18T00:25:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Frnv6i0/VESV+UvqqUG7FUWeHRcOD21RqFus52RIuRLrN0Q4Q9jClFLORRCm1fIjMNvNqJNjjbYh9xUs6cAoBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T04:14:21.267062Z"},"content_sha256":"842fa1cd505a09fe679532918f53ad0de7d56891ee561419f270d138217dc589","schema_version":"1.0","event_id":"sha256:842fa1cd505a09fe679532918f53ad0de7d56891ee561419f270d138217dc589"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:XCPRITZQKNPNO7ETYXCJL3I2DD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analytic Solutions of Von Karman Plate under Arbitrary Uniform Pressure (II): Equations in Integral Form","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Shijun Liao, Xiaoxu Zhong","submitted_at":"2016-04-21T07:23:05Z","abstract_excerpt":"In this paper, the homotopy analysis method (HAM) is successfully applied to solve the Von Karman's plate equations in the integral form for a circular plate with the clamped boundary under an arbitrary uniform external pressure. Two HAM-based approaches are proposed. One is for a given external load Q, the other for a given central deflection. Both of them are valid for an arbitrary uniform external pressure by means of choosing a proper value of the so-called convergence-control parameters c_1 and c_2 in the frame of the HAM. Besides, it is found that iteration can greatly accelerate the con"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.06711","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":"2026-05-18T00:25:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R3PEB8Au0/ysFEFHYAUN8X6K8VJaJVA/UcnGORRxjaWYUN7Feo7daSqCVkbTJB8SjlMDkVO5bjKVoKJKYanRCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T04:14:21.267768Z"},"content_sha256":"e0c1e811bc224c869977f1d3a67caf8856b2890e8bb39bc9a24e7066ff500f4e","schema_version":"1.0","event_id":"sha256:e0c1e811bc224c869977f1d3a67caf8856b2890e8bb39bc9a24e7066ff500f4e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XCPRITZQKNPNO7ETYXCJL3I2DD/bundle.json","state_url":"https://pith.science/pith/XCPRITZQKNPNO7ETYXCJL3I2DD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XCPRITZQKNPNO7ETYXCJL3I2DD/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":"2026-05-26T04:14:21Z","links":{"resolver":"https://pith.science/pith/XCPRITZQKNPNO7ETYXCJL3I2DD","bundle":"https://pith.science/pith/XCPRITZQKNPNO7ETYXCJL3I2DD/bundle.json","state":"https://pith.science/pith/XCPRITZQKNPNO7ETYXCJL3I2DD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XCPRITZQKNPNO7ETYXCJL3I2DD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:XCPRITZQKNPNO7ETYXCJL3I2DD","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":"1574982db92c1bfdbd7a92c4bd4cd2cc992440edef0a790f2d087f0de4379536","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-04-21T07:23:05Z","title_canon_sha256":"4819fa8c172d01c42ce0ef1bf336a5d504ff642a403770f4d67deb42fc3a6f85"},"schema_version":"1.0","source":{"id":"1604.06711","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.06711","created_at":"2026-05-18T00:25:12Z"},{"alias_kind":"arxiv_version","alias_value":"1604.06711v1","created_at":"2026-05-18T00:25:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.06711","created_at":"2026-05-18T00:25:12Z"},{"alias_kind":"pith_short_12","alias_value":"XCPRITZQKNPN","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XCPRITZQKNPNO7ET","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XCPRITZQ","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:e0c1e811bc224c869977f1d3a67caf8856b2890e8bb39bc9a24e7066ff500f4e","target":"graph","created_at":"2026-05-18T00:25:12Z","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":"In this paper, the homotopy analysis method (HAM) is successfully applied to solve the Von Karman's plate equations in the integral form for a circular plate with the clamped boundary under an arbitrary uniform external pressure. Two HAM-based approaches are proposed. One is for a given external load Q, the other for a given central deflection. Both of them are valid for an arbitrary uniform external pressure by means of choosing a proper value of the so-called convergence-control parameters c_1 and c_2 in the frame of the HAM. Besides, it is found that iteration can greatly accelerate the con","authors_text":"Shijun Liao, Xiaoxu Zhong","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-04-21T07:23:05Z","title":"Analytic Solutions of Von Karman Plate under Arbitrary Uniform Pressure (II): Equations in Integral Form"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.06711","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":"sha256:842fa1cd505a09fe679532918f53ad0de7d56891ee561419f270d138217dc589","target":"record","created_at":"2026-05-18T00:25:12Z","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":"1574982db92c1bfdbd7a92c4bd4cd2cc992440edef0a790f2d087f0de4379536","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-04-21T07:23:05Z","title_canon_sha256":"4819fa8c172d01c42ce0ef1bf336a5d504ff642a403770f4d67deb42fc3a6f85"},"schema_version":"1.0","source":{"id":"1604.06711","kind":"arxiv","version":1}},"canonical_sha256":"b89f144f30535ed77c93c5c495ed1a18d38c72c150fa67c65add191525ec6a20","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b89f144f30535ed77c93c5c495ed1a18d38c72c150fa67c65add191525ec6a20","first_computed_at":"2026-05-18T00:25:12.017493Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:25:12.017493Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WPRZS+ktIWkZ3ABR3HJMTHZ+KnOThBUPVbjgs8Ca00TnGs8ARhhgbEI8ZWUaErSFo3sPI+Gu+uzcKQw0wXKUBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:25:12.017897Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.06711","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:842fa1cd505a09fe679532918f53ad0de7d56891ee561419f270d138217dc589","sha256:e0c1e811bc224c869977f1d3a67caf8856b2890e8bb39bc9a24e7066ff500f4e"],"state_sha256":"0c11102ef8ba66cbedcb4ae1c6dfd01dee98ed700c1a9eb49419ac513b61ddcf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VoNn1exSrO3NtcJuOMziYC5RQrmXdNzdHFkkU5YwSTFgwWxfxuQVV0MNUuI4MMfGiSSfXEzfPuZL0YfTdpWBCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T04:14:21.271304Z","bundle_sha256":"2dd7cb6963f980c1032821e81b65309db4d636692a86bae38cf968bbf45dc5ba"}}