{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:RLNVRUGPIPOOND3AOKXOMNQIE6","short_pith_number":"pith:RLNVRUGP","canonical_record":{"source":{"id":"1506.02571","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-06-08T16:21:46Z","cross_cats_sorted":[],"title_canon_sha256":"d4531341ebe3096e7e06c2db964eeee8a83d79dd86fd2b12a40bca6c626403d2","abstract_canon_sha256":"2df0cb6044b9c66be7e0354a3e8ff5b6c592d19e98c47a20de2dd9cc266ae5ba"},"schema_version":"1.0"},"canonical_sha256":"8adb58d0cf43dce68f6072aee6360827a490cffbdff1eb0e885323bfbf90aa57","source":{"kind":"arxiv","id":"1506.02571","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.02571","created_at":"2026-05-18T00:31:14Z"},{"alias_kind":"arxiv_version","alias_value":"1506.02571v3","created_at":"2026-05-18T00:31:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.02571","created_at":"2026-05-18T00:31:14Z"},{"alias_kind":"pith_short_12","alias_value":"RLNVRUGPIPOO","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"RLNVRUGPIPOOND3A","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"RLNVRUGP","created_at":"2026-05-18T12:29:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:RLNVRUGPIPOOND3AOKXOMNQIE6","target":"record","payload":{"canonical_record":{"source":{"id":"1506.02571","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-06-08T16:21:46Z","cross_cats_sorted":[],"title_canon_sha256":"d4531341ebe3096e7e06c2db964eeee8a83d79dd86fd2b12a40bca6c626403d2","abstract_canon_sha256":"2df0cb6044b9c66be7e0354a3e8ff5b6c592d19e98c47a20de2dd9cc266ae5ba"},"schema_version":"1.0"},"canonical_sha256":"8adb58d0cf43dce68f6072aee6360827a490cffbdff1eb0e885323bfbf90aa57","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:14.153989Z","signature_b64":"fcnmzeebRSCCIBe6BFP+l81enk2QpDw39dUUthdqFOMCt43G+GN8/ha+vPXG3hLCu30jpjUnB/4dBWL4ZDGpAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8adb58d0cf43dce68f6072aee6360827a490cffbdff1eb0e885323bfbf90aa57","last_reissued_at":"2026-05-18T00:31:14.153396Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:14.153396Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.02571","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:31:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yYaajgFmSbXR4B76+j+iAS8gEn1g3ifaLU9MJZVkIhJckjW9if70WA+YgGyJr+u+0MUb1lBU1uIlJdajO/gFAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T05:20:55.666493Z"},"content_sha256":"d4e0d96acab832be33257da6213d51e0130c391b26eb7f67001c4f133eb615c7","schema_version":"1.0","event_id":"sha256:d4e0d96acab832be33257da6213d51e0130c391b26eb7f67001c4f133eb615c7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:RLNVRUGPIPOOND3AOKXOMNQIE6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Regularity of intrinsically convex $W^{2,2}$ surfaces and a derivation of a homogenized bending theory of convex shells","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Igor Velcic, Peter Hornung","submitted_at":"2015-06-08T16:21:46Z","abstract_excerpt":"We prove smoothness of $W^{2,2}$ isometric immersions of surfaces endowed with a smooth Riemannian metric of positive Gauss curvature. We then derive the $\\Gamma$-limit of three dimensional nonlinear shells with inhomogeneous energy density, in the bending energy regime."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.02571","kind":"arxiv","version":3},"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":"2026-05-18T00:31:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AcWZc2/aFIJ7CdiXv/ulmKMDqB13X9myAeBgu9Jnzw40GpzlHg98fB3QlW+unpOzFP+6/KrWsiha2DGk9EmHDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T05:20:55.666839Z"},"content_sha256":"9f1ca6bf7ce65a7770917339945b7d4914b3c6d3dd334657dc7973cb8409e6ea","schema_version":"1.0","event_id":"sha256:9f1ca6bf7ce65a7770917339945b7d4914b3c6d3dd334657dc7973cb8409e6ea"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RLNVRUGPIPOOND3AOKXOMNQIE6/bundle.json","state_url":"https://pith.science/pith/RLNVRUGPIPOOND3AOKXOMNQIE6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RLNVRUGPIPOOND3AOKXOMNQIE6/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":"2026-05-30T05:20:55Z","links":{"resolver":"https://pith.science/pith/RLNVRUGPIPOOND3AOKXOMNQIE6","bundle":"https://pith.science/pith/RLNVRUGPIPOOND3AOKXOMNQIE6/bundle.json","state":"https://pith.science/pith/RLNVRUGPIPOOND3AOKXOMNQIE6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RLNVRUGPIPOOND3AOKXOMNQIE6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:RLNVRUGPIPOOND3AOKXOMNQIE6","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":"2df0cb6044b9c66be7e0354a3e8ff5b6c592d19e98c47a20de2dd9cc266ae5ba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-06-08T16:21:46Z","title_canon_sha256":"d4531341ebe3096e7e06c2db964eeee8a83d79dd86fd2b12a40bca6c626403d2"},"schema_version":"1.0","source":{"id":"1506.02571","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.02571","created_at":"2026-05-18T00:31:14Z"},{"alias_kind":"arxiv_version","alias_value":"1506.02571v3","created_at":"2026-05-18T00:31:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.02571","created_at":"2026-05-18T00:31:14Z"},{"alias_kind":"pith_short_12","alias_value":"RLNVRUGPIPOO","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"RLNVRUGPIPOOND3A","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"RLNVRUGP","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:9f1ca6bf7ce65a7770917339945b7d4914b3c6d3dd334657dc7973cb8409e6ea","target":"graph","created_at":"2026-05-18T00:31:14Z","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 prove smoothness of $W^{2,2}$ isometric immersions of surfaces endowed with a smooth Riemannian metric of positive Gauss curvature. We then derive the $\\Gamma$-limit of three dimensional nonlinear shells with inhomogeneous energy density, in the bending energy regime.","authors_text":"Igor Velcic, Peter Hornung","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-06-08T16:21:46Z","title":"Regularity of intrinsically convex $W^{2,2}$ surfaces and a derivation of a homogenized bending theory of convex shells"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.02571","kind":"arxiv","version":3},"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:d4e0d96acab832be33257da6213d51e0130c391b26eb7f67001c4f133eb615c7","target":"record","created_at":"2026-05-18T00:31:14Z","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":"2df0cb6044b9c66be7e0354a3e8ff5b6c592d19e98c47a20de2dd9cc266ae5ba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-06-08T16:21:46Z","title_canon_sha256":"d4531341ebe3096e7e06c2db964eeee8a83d79dd86fd2b12a40bca6c626403d2"},"schema_version":"1.0","source":{"id":"1506.02571","kind":"arxiv","version":3}},"canonical_sha256":"8adb58d0cf43dce68f6072aee6360827a490cffbdff1eb0e885323bfbf90aa57","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8adb58d0cf43dce68f6072aee6360827a490cffbdff1eb0e885323bfbf90aa57","first_computed_at":"2026-05-18T00:31:14.153396Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:14.153396Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fcnmzeebRSCCIBe6BFP+l81enk2QpDw39dUUthdqFOMCt43G+GN8/ha+vPXG3hLCu30jpjUnB/4dBWL4ZDGpAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:14.153989Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.02571","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d4e0d96acab832be33257da6213d51e0130c391b26eb7f67001c4f133eb615c7","sha256:9f1ca6bf7ce65a7770917339945b7d4914b3c6d3dd334657dc7973cb8409e6ea"],"state_sha256":"ce56fdcfe0468cb866f1dccac1581c41f86eff38b501c0116256ec453b074c41"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o0rCOb/eyZOXy3h3uAdrjfUVpQLD7YjBXgpPv/w7J3iYaT17j6Mds5YktRQlnS92JPxPZFOZ9zSzQz3UPWmfAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T05:20:55.668850Z","bundle_sha256":"94858cde16ce41da82b166bd6dc9c03e18ca408f3651091b30b2bfa188da8020"}}