{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:VEO5ZCXCRIDWT3TXCZN54J6I52","short_pith_number":"pith:VEO5ZCXC","canonical_record":{"source":{"id":"1106.2073","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-06-10T14:32:33Z","cross_cats_sorted":["q-bio.SC"],"title_canon_sha256":"bceaf851052f35c34f103c8a35540ce24191d62b7f07d28274ef332ed00d66df","abstract_canon_sha256":"d09278941fb1e09c0e33eac28c9660b496c5c4ac2d6c6924a7d6913f3e15faa7"},"schema_version":"1.0"},"canonical_sha256":"a91ddc8ae28a0769ee77165bde27c8ee91e99da59aee267b84b12fee23705e82","source":{"kind":"arxiv","id":"1106.2073","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.2073","created_at":"2026-05-18T04:20:13Z"},{"alias_kind":"arxiv_version","alias_value":"1106.2073v1","created_at":"2026-05-18T04:20:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.2073","created_at":"2026-05-18T04:20:13Z"},{"alias_kind":"pith_short_12","alias_value":"VEO5ZCXCRIDW","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"VEO5ZCXCRIDWT3TX","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"VEO5ZCXC","created_at":"2026-05-18T12:26:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:VEO5ZCXCRIDWT3TXCZN54J6I52","target":"record","payload":{"canonical_record":{"source":{"id":"1106.2073","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-06-10T14:32:33Z","cross_cats_sorted":["q-bio.SC"],"title_canon_sha256":"bceaf851052f35c34f103c8a35540ce24191d62b7f07d28274ef332ed00d66df","abstract_canon_sha256":"d09278941fb1e09c0e33eac28c9660b496c5c4ac2d6c6924a7d6913f3e15faa7"},"schema_version":"1.0"},"canonical_sha256":"a91ddc8ae28a0769ee77165bde27c8ee91e99da59aee267b84b12fee23705e82","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:20:13.732739Z","signature_b64":"NVECpGBNhzozG0P3Uy3pAtWpVxH/zXhZK0MSfXqUJrjT3aXjoU4VS9EGmWAZD4wraobeeK8mY4sLtEHH4KqpAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a91ddc8ae28a0769ee77165bde27c8ee91e99da59aee267b84b12fee23705e82","last_reissued_at":"2026-05-18T04:20:13.732222Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:20:13.732222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1106.2073","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":"2026-05-18T04:20:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QKRt9b8HRkueLY/mu36bbfp19L0DWCzS1GwXtdg2sB/A7qzog5F22WtK6jrMt3OVMWRjqBkohuksd0utu1z6Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T22:08:42.533876Z"},"content_sha256":"1dbaef3a20e515d8b0fd5b9f3a6155f51e133171bbcd9080f621b7514dc131be","schema_version":"1.0","event_id":"sha256:1dbaef3a20e515d8b0fd5b9f3a6155f51e133171bbcd9080f621b7514dc131be"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:VEO5ZCXCRIDWT3TXCZN54J6I52","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Minimal Bending Energies of Bilayer Polyhedra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.SC"],"primary_cat":"cond-mat.soft","authors_text":"Christoph A. Haselwandter, Rob Phillips","submitted_at":"2011-06-10T14:32:33Z","abstract_excerpt":"Motivated by recent experiments on bilayer polyhedra composed of amphiphilic molecules, we study the elastic bending energies of bilayer vesicles forming polyhedral shapes. Allowing for segregation of excess amphiphiles along the ridges of polyhedra, we find that bilayer polyhedra can indeed have lower bending energies than spherical bilayer vesicles. However, our analysis also implies that, contrary to what has been suggested on the basis of experiments, the snub dodecahedron, rather than the icosahedron, generally represents the energetically favorable shape of bilayer polyhedra."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.2073","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":"2026-05-18T04:20:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/SibCNJ8dkUDMi66vY/FqL/x1wM5EAFpESU77dx4oQwGnXmmuVdVdWLZG798+dZ/kwwbV4CcMLoD7DH3GMkuAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T22:08:42.534213Z"},"content_sha256":"7a3f1f6faa9560c3b59f0e37680af1ed80470d6384c379fbfe6c1dcd3fba1eb1","schema_version":"1.0","event_id":"sha256:7a3f1f6faa9560c3b59f0e37680af1ed80470d6384c379fbfe6c1dcd3fba1eb1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VEO5ZCXCRIDWT3TXCZN54J6I52/bundle.json","state_url":"https://pith.science/pith/VEO5ZCXCRIDWT3TXCZN54J6I52/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VEO5ZCXCRIDWT3TXCZN54J6I52/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":"2026-06-22T22:08:42Z","links":{"resolver":"https://pith.science/pith/VEO5ZCXCRIDWT3TXCZN54J6I52","bundle":"https://pith.science/pith/VEO5ZCXCRIDWT3TXCZN54J6I52/bundle.json","state":"https://pith.science/pith/VEO5ZCXCRIDWT3TXCZN54J6I52/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VEO5ZCXCRIDWT3TXCZN54J6I52/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:VEO5ZCXCRIDWT3TXCZN54J6I52","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":"d09278941fb1e09c0e33eac28c9660b496c5c4ac2d6c6924a7d6913f3e15faa7","cross_cats_sorted":["q-bio.SC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-06-10T14:32:33Z","title_canon_sha256":"bceaf851052f35c34f103c8a35540ce24191d62b7f07d28274ef332ed00d66df"},"schema_version":"1.0","source":{"id":"1106.2073","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.2073","created_at":"2026-05-18T04:20:13Z"},{"alias_kind":"arxiv_version","alias_value":"1106.2073v1","created_at":"2026-05-18T04:20:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.2073","created_at":"2026-05-18T04:20:13Z"},{"alias_kind":"pith_short_12","alias_value":"VEO5ZCXCRIDW","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"VEO5ZCXCRIDWT3TX","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"VEO5ZCXC","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:7a3f1f6faa9560c3b59f0e37680af1ed80470d6384c379fbfe6c1dcd3fba1eb1","target":"graph","created_at":"2026-05-18T04:20:13Z","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":"Motivated by recent experiments on bilayer polyhedra composed of amphiphilic molecules, we study the elastic bending energies of bilayer vesicles forming polyhedral shapes. Allowing for segregation of excess amphiphiles along the ridges of polyhedra, we find that bilayer polyhedra can indeed have lower bending energies than spherical bilayer vesicles. However, our analysis also implies that, contrary to what has been suggested on the basis of experiments, the snub dodecahedron, rather than the icosahedron, generally represents the energetically favorable shape of bilayer polyhedra.","authors_text":"Christoph A. Haselwandter, Rob Phillips","cross_cats":["q-bio.SC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-06-10T14:32:33Z","title":"Minimal Bending Energies of Bilayer Polyhedra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.2073","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":"sha256:1dbaef3a20e515d8b0fd5b9f3a6155f51e133171bbcd9080f621b7514dc131be","target":"record","created_at":"2026-05-18T04:20:13Z","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":"d09278941fb1e09c0e33eac28c9660b496c5c4ac2d6c6924a7d6913f3e15faa7","cross_cats_sorted":["q-bio.SC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-06-10T14:32:33Z","title_canon_sha256":"bceaf851052f35c34f103c8a35540ce24191d62b7f07d28274ef332ed00d66df"},"schema_version":"1.0","source":{"id":"1106.2073","kind":"arxiv","version":1}},"canonical_sha256":"a91ddc8ae28a0769ee77165bde27c8ee91e99da59aee267b84b12fee23705e82","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a91ddc8ae28a0769ee77165bde27c8ee91e99da59aee267b84b12fee23705e82","first_computed_at":"2026-05-18T04:20:13.732222Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:20:13.732222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NVECpGBNhzozG0P3Uy3pAtWpVxH/zXhZK0MSfXqUJrjT3aXjoU4VS9EGmWAZD4wraobeeK8mY4sLtEHH4KqpAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:20:13.732739Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.2073","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1dbaef3a20e515d8b0fd5b9f3a6155f51e133171bbcd9080f621b7514dc131be","sha256:7a3f1f6faa9560c3b59f0e37680af1ed80470d6384c379fbfe6c1dcd3fba1eb1"],"state_sha256":"cc95ba5ae68c15d64f7e076ecae5c9f2ae9472f0ae7097f9570295af207b7326"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2EeK6S3BNpGMq/E/U2UuwTTyyNAMIz8gRGcx8/sPAZRXrn9cJpUrQJa2TGqLqkfJpGKrFFUfX9RgqfeP7c6ZCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T22:08:42.536159Z","bundle_sha256":"63295021dd0c201e2afe5ff2d0fd0721f2538092bc08d4ab1813b2263189ff72"}}