{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:5BD2I3L4SEHBGOBBSDWT4URGVW","short_pith_number":"pith:5BD2I3L4","canonical_record":{"source":{"id":"1108.3487","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-08-17T14:18:21Z","cross_cats_sorted":["physics.chem-ph"],"title_canon_sha256":"aee5f0eeb4770d10d338f2f2edc6ef4c62ef3ce66d9fd8e46678129c28b20a9f","abstract_canon_sha256":"72bfd5d69709a5936c7b20f9bbeda15d13535fe9f3954297cf24f2f417728d42"},"schema_version":"1.0"},"canonical_sha256":"e847a46d7c910e13382190ed3e5226adaec28e2ac1db4c8c5f619f0ad01bfad5","source":{"kind":"arxiv","id":"1108.3487","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.3487","created_at":"2026-05-18T04:07:19Z"},{"alias_kind":"arxiv_version","alias_value":"1108.3487v2","created_at":"2026-05-18T04:07:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.3487","created_at":"2026-05-18T04:07:19Z"},{"alias_kind":"pith_short_12","alias_value":"5BD2I3L4SEHB","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"5BD2I3L4SEHBGOBB","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"5BD2I3L4","created_at":"2026-05-18T12:26:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:5BD2I3L4SEHBGOBBSDWT4URGVW","target":"record","payload":{"canonical_record":{"source":{"id":"1108.3487","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-08-17T14:18:21Z","cross_cats_sorted":["physics.chem-ph"],"title_canon_sha256":"aee5f0eeb4770d10d338f2f2edc6ef4c62ef3ce66d9fd8e46678129c28b20a9f","abstract_canon_sha256":"72bfd5d69709a5936c7b20f9bbeda15d13535fe9f3954297cf24f2f417728d42"},"schema_version":"1.0"},"canonical_sha256":"e847a46d7c910e13382190ed3e5226adaec28e2ac1db4c8c5f619f0ad01bfad5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:07:19.438753Z","signature_b64":"ONXE9F7x9W/daV4vgSuSiZdqT/T6maqZ9G4W99yFk0w1g2cKxwGJPLq+Vhm8SJenFH9wuNOnrHuNqcKhyFFXCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e847a46d7c910e13382190ed3e5226adaec28e2ac1db4c8c5f619f0ad01bfad5","last_reissued_at":"2026-05-18T04:07:19.438056Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:07:19.438056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1108.3487","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":"2026-05-18T04:07:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ymKIbTsleOyciVlybb6SM/7Pa/HGzIQ8sJ2Ov6v2p4sMxG/pWCxvL3cqYd/fVlgzZ06VWCNSzjbs33bOqEsZDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T14:45:00.507486Z"},"content_sha256":"e2af9d8156b35fde4fd5e663031e586d776daaf966b7965e7afcab56ddbf8317","schema_version":"1.0","event_id":"sha256:e2af9d8156b35fde4fd5e663031e586d776daaf966b7965e7afcab56ddbf8317"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:5BD2I3L4SEHBGOBBSDWT4URGVW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Buckling of Spherical Capsules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.chem-ph"],"primary_cat":"cond-mat.soft","authors_text":"Jan Kierfeld, Sebastian Knoche","submitted_at":"2011-08-17T14:18:21Z","abstract_excerpt":"We investigate buckling of soft elastic capsules under negative pressure or for reduced capsule volume. Based on nonlinear shell theory and the assumption of a hyperelastic capsule membrane, shape equations for axisymmetric and initially spherical capsules are derived and solved numerically. A rich bifurcation behavior is found, which is presented in terms of bifurcation diagrams. The energetically preferred stable configuration is deduced from a least-energy principle both for prescribed volume and prescribed pressure. We find that buckled shapes are energetically favorable already at smaller"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.3487","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":"2026-05-18T04:07:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GfVJ+XLTfpo6XkseZVEyrfGunIgwjcO659bi+kFi3fYvjvd+eDghj3hFEgZqAJ79eXc+om7iQAgwAJUgSbt7BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T14:45:00.507883Z"},"content_sha256":"4668ad6576d9e7f0f9de4e9e48c0d40962e4caeb7b162fd33e91f2df7fca3b7c","schema_version":"1.0","event_id":"sha256:4668ad6576d9e7f0f9de4e9e48c0d40962e4caeb7b162fd33e91f2df7fca3b7c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5BD2I3L4SEHBGOBBSDWT4URGVW/bundle.json","state_url":"https://pith.science/pith/5BD2I3L4SEHBGOBBSDWT4URGVW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5BD2I3L4SEHBGOBBSDWT4URGVW/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":"2026-05-27T14:45:00Z","links":{"resolver":"https://pith.science/pith/5BD2I3L4SEHBGOBBSDWT4URGVW","bundle":"https://pith.science/pith/5BD2I3L4SEHBGOBBSDWT4URGVW/bundle.json","state":"https://pith.science/pith/5BD2I3L4SEHBGOBBSDWT4URGVW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5BD2I3L4SEHBGOBBSDWT4URGVW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:5BD2I3L4SEHBGOBBSDWT4URGVW","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":"72bfd5d69709a5936c7b20f9bbeda15d13535fe9f3954297cf24f2f417728d42","cross_cats_sorted":["physics.chem-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-08-17T14:18:21Z","title_canon_sha256":"aee5f0eeb4770d10d338f2f2edc6ef4c62ef3ce66d9fd8e46678129c28b20a9f"},"schema_version":"1.0","source":{"id":"1108.3487","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.3487","created_at":"2026-05-18T04:07:19Z"},{"alias_kind":"arxiv_version","alias_value":"1108.3487v2","created_at":"2026-05-18T04:07:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.3487","created_at":"2026-05-18T04:07:19Z"},{"alias_kind":"pith_short_12","alias_value":"5BD2I3L4SEHB","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"5BD2I3L4SEHBGOBB","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"5BD2I3L4","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:4668ad6576d9e7f0f9de4e9e48c0d40962e4caeb7b162fd33e91f2df7fca3b7c","target":"graph","created_at":"2026-05-18T04:07:19Z","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 investigate buckling of soft elastic capsules under negative pressure or for reduced capsule volume. Based on nonlinear shell theory and the assumption of a hyperelastic capsule membrane, shape equations for axisymmetric and initially spherical capsules are derived and solved numerically. A rich bifurcation behavior is found, which is presented in terms of bifurcation diagrams. The energetically preferred stable configuration is deduced from a least-energy principle both for prescribed volume and prescribed pressure. We find that buckled shapes are energetically favorable already at smaller","authors_text":"Jan Kierfeld, Sebastian Knoche","cross_cats":["physics.chem-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-08-17T14:18:21Z","title":"Buckling of Spherical Capsules"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.3487","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:e2af9d8156b35fde4fd5e663031e586d776daaf966b7965e7afcab56ddbf8317","target":"record","created_at":"2026-05-18T04:07:19Z","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":"72bfd5d69709a5936c7b20f9bbeda15d13535fe9f3954297cf24f2f417728d42","cross_cats_sorted":["physics.chem-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-08-17T14:18:21Z","title_canon_sha256":"aee5f0eeb4770d10d338f2f2edc6ef4c62ef3ce66d9fd8e46678129c28b20a9f"},"schema_version":"1.0","source":{"id":"1108.3487","kind":"arxiv","version":2}},"canonical_sha256":"e847a46d7c910e13382190ed3e5226adaec28e2ac1db4c8c5f619f0ad01bfad5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e847a46d7c910e13382190ed3e5226adaec28e2ac1db4c8c5f619f0ad01bfad5","first_computed_at":"2026-05-18T04:07:19.438056Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:07:19.438056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ONXE9F7x9W/daV4vgSuSiZdqT/T6maqZ9G4W99yFk0w1g2cKxwGJPLq+Vhm8SJenFH9wuNOnrHuNqcKhyFFXCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:07:19.438753Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.3487","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e2af9d8156b35fde4fd5e663031e586d776daaf966b7965e7afcab56ddbf8317","sha256:4668ad6576d9e7f0f9de4e9e48c0d40962e4caeb7b162fd33e91f2df7fca3b7c"],"state_sha256":"26063d5061b6713c139c65127d100a42d8661ffabc804167df7a64e6f13ae85b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L/4XkrSjW1y2dEg5Cp8k8wab9XpuR4lLruhe6m9DwlGVLhhb/cz+9jwWI9OikA5U2UW4odFptx3S8p+DhAuZBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T14:45:00.510552Z","bundle_sha256":"7c2863ffdac4305f29de8b66c7c325a0226d98880d01645259a9dda5de398da4"}}