{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:N2VZTBXRKTPWQ7LTP433JXY5CV","short_pith_number":"pith:N2VZTBXR","canonical_record":{"source":{"id":"1406.5981","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-06-23T17:02:32Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"de936cc905c2c27323583cde15d0aa405ca112d4e60ba74edc392e2689e4bca4","abstract_canon_sha256":"1fc22d05b1e406d158b79b37ae0c5aa0b8f53de8f24a9f4c9cc792dcf5b2b784"},"schema_version":"1.0"},"canonical_sha256":"6eab9986f154df687d737f37b4df1d157199e23a20795372e303fc7784fe3dab","source":{"kind":"arxiv","id":"1406.5981","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.5981","created_at":"2026-05-18T02:35:47Z"},{"alias_kind":"arxiv_version","alias_value":"1406.5981v2","created_at":"2026-05-18T02:35:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.5981","created_at":"2026-05-18T02:35:47Z"},{"alias_kind":"pith_short_12","alias_value":"N2VZTBXRKTPW","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"N2VZTBXRKTPWQ7LT","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"N2VZTBXR","created_at":"2026-05-18T12:28:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:N2VZTBXRKTPWQ7LTP433JXY5CV","target":"record","payload":{"canonical_record":{"source":{"id":"1406.5981","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-06-23T17:02:32Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"de936cc905c2c27323583cde15d0aa405ca112d4e60ba74edc392e2689e4bca4","abstract_canon_sha256":"1fc22d05b1e406d158b79b37ae0c5aa0b8f53de8f24a9f4c9cc792dcf5b2b784"},"schema_version":"1.0"},"canonical_sha256":"6eab9986f154df687d737f37b4df1d157199e23a20795372e303fc7784fe3dab","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:35:47.256794Z","signature_b64":"2hcS5WaoWgUgpyCLO1UqverQ4qV9bTnsaaKIpUWcNEGmYPqZGZWeOW0SVS6pHyTJKFguP3CC+NA3gzqOInHYBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6eab9986f154df687d737f37b4df1d157199e23a20795372e303fc7784fe3dab","last_reissued_at":"2026-05-18T02:35:47.256275Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:35:47.256275Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.5981","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:35:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LR0V+10JlRiLkSZH7A1X0j8KJ8PeyNdpt3GHdsUQ0omKuk3wIQHsgI49axULgdDalXrAiqUzSXsSA/T2FOVxDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T23:22:22.817305Z"},"content_sha256":"55c5e4a7bc928a69c0e30679169a9195dfb9ced395e36fef4d00a12dca5580ec","schema_version":"1.0","event_id":"sha256:55c5e4a7bc928a69c0e30679169a9195dfb9ced395e36fef4d00a12dca5580ec"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:N2VZTBXRKTPWQ7LTP433JXY5CV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The geometric Cauchy problem for the membrane shape equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"Emilio Musso, Gary R. Jensen, Lorenzo Nicolodi","submitted_at":"2014-06-23T17:02:32Z","abstract_excerpt":"We address the geometric Cauchy problem for surfaces associated to the membrane shape equation describing equilibrium configurations of vesicles formed by lipid bilayers. This is the Euler-Lagrange equation of the Canham-Helfrich-Evans elastic curvature energy subject to constraints on the enclosed volume and the surface area. Our approach uses the method of moving frames and techniques from the theory of exterior differential systems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.5981","kind":"arxiv","version":2},"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":"2026-05-18T02:35:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XDHyCh7tYX8eppoN1SvnhM5/YYSZMDj/A2GYKUqOciqxePQSAN8Bp2aWwWY6hlUcfWsbs7IA30t53Flhv60OCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T23:22:22.817765Z"},"content_sha256":"33db92a987a9309feb90d002a5b49e755e90d9888b103423c9fdc37b394e8448","schema_version":"1.0","event_id":"sha256:33db92a987a9309feb90d002a5b49e755e90d9888b103423c9fdc37b394e8448"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N2VZTBXRKTPWQ7LTP433JXY5CV/bundle.json","state_url":"https://pith.science/pith/N2VZTBXRKTPWQ7LTP433JXY5CV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N2VZTBXRKTPWQ7LTP433JXY5CV/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":"2026-05-27T23:22:22Z","links":{"resolver":"https://pith.science/pith/N2VZTBXRKTPWQ7LTP433JXY5CV","bundle":"https://pith.science/pith/N2VZTBXRKTPWQ7LTP433JXY5CV/bundle.json","state":"https://pith.science/pith/N2VZTBXRKTPWQ7LTP433JXY5CV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N2VZTBXRKTPWQ7LTP433JXY5CV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:N2VZTBXRKTPWQ7LTP433JXY5CV","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":"1fc22d05b1e406d158b79b37ae0c5aa0b8f53de8f24a9f4c9cc792dcf5b2b784","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-06-23T17:02:32Z","title_canon_sha256":"de936cc905c2c27323583cde15d0aa405ca112d4e60ba74edc392e2689e4bca4"},"schema_version":"1.0","source":{"id":"1406.5981","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.5981","created_at":"2026-05-18T02:35:47Z"},{"alias_kind":"arxiv_version","alias_value":"1406.5981v2","created_at":"2026-05-18T02:35:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.5981","created_at":"2026-05-18T02:35:47Z"},{"alias_kind":"pith_short_12","alias_value":"N2VZTBXRKTPW","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"N2VZTBXRKTPWQ7LT","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"N2VZTBXR","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:33db92a987a9309feb90d002a5b49e755e90d9888b103423c9fdc37b394e8448","target":"graph","created_at":"2026-05-18T02:35:47Z","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 address the geometric Cauchy problem for surfaces associated to the membrane shape equation describing equilibrium configurations of vesicles formed by lipid bilayers. This is the Euler-Lagrange equation of the Canham-Helfrich-Evans elastic curvature energy subject to constraints on the enclosed volume and the surface area. Our approach uses the method of moving frames and techniques from the theory of exterior differential systems.","authors_text":"Emilio Musso, Gary R. Jensen, Lorenzo Nicolodi","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-06-23T17:02:32Z","title":"The geometric Cauchy problem for the membrane shape equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.5981","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":"sha256:55c5e4a7bc928a69c0e30679169a9195dfb9ced395e36fef4d00a12dca5580ec","target":"record","created_at":"2026-05-18T02:35:47Z","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":"1fc22d05b1e406d158b79b37ae0c5aa0b8f53de8f24a9f4c9cc792dcf5b2b784","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-06-23T17:02:32Z","title_canon_sha256":"de936cc905c2c27323583cde15d0aa405ca112d4e60ba74edc392e2689e4bca4"},"schema_version":"1.0","source":{"id":"1406.5981","kind":"arxiv","version":2}},"canonical_sha256":"6eab9986f154df687d737f37b4df1d157199e23a20795372e303fc7784fe3dab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6eab9986f154df687d737f37b4df1d157199e23a20795372e303fc7784fe3dab","first_computed_at":"2026-05-18T02:35:47.256275Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:47.256275Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2hcS5WaoWgUgpyCLO1UqverQ4qV9bTnsaaKIpUWcNEGmYPqZGZWeOW0SVS6pHyTJKFguP3CC+NA3gzqOInHYBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:47.256794Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.5981","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:55c5e4a7bc928a69c0e30679169a9195dfb9ced395e36fef4d00a12dca5580ec","sha256:33db92a987a9309feb90d002a5b49e755e90d9888b103423c9fdc37b394e8448"],"state_sha256":"1de9dbf3c200c392a5c9e9d5cb8c136c6e6e70c4f6d5a48ddac8f64de107e06a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GdwnZQe+Q1xKT3t4ENKVy+HLgp1PhsdiPW964eGQjIHa8SUrwM+aS8Y9g8PIyMZUBoCFhezReMasQt6eqI62Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T23:22:22.820009Z","bundle_sha256":"ed88b551713a50515157d09364b4e40074264e22118439656fa99af3493cf2fa"}}