{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:6LD6QUMWKNWV4HEQZEKJHHTHY5","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":"196754fcf87b0d16647ad1c5c9303d2fd3654dacce8e69b0d43e8293c28ef219","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2016-04-13T08:28:01Z","title_canon_sha256":"c9e8c4b39bd14fc799eab609aa51d2207bca19bdbd0afbe4de16933bb955bc02"},"schema_version":"1.0","source":{"id":"1604.03686","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.03686","created_at":"2026-05-18T00:27:36Z"},{"alias_kind":"arxiv_version","alias_value":"1604.03686v2","created_at":"2026-05-18T00:27:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.03686","created_at":"2026-05-18T00:27:36Z"},{"alias_kind":"pith_short_12","alias_value":"6LD6QUMWKNWV","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"6LD6QUMWKNWV4HEQ","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"6LD6QUMW","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:424c497895927cc00f913bf68b0b5ab52307b1d4a9cb9c2030e751e935941fb7","target":"graph","created_at":"2026-05-18T00:27:36Z","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 present a detailed asymptotic analysis of the point indentation of an unpressurized, spherical elastic shell. Previous analyses of this classic problem have assumed that for sufficiently large indentation depths, such a shell deforms by `mirror buckling' --- a portion of the shell inverts to become a spherical cap with equal but opposite curvature to the undeformed shell. The energy of deformation is then localized in a ridge in which the deformed and undeformed portions of the shell join together, commonly referred to as Pogorelov's ridge. Rather than using an energy formulation, we revisi","authors_text":"Derek E. Moulton, Dominic Vella, Michael Gomez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2016-04-13T08:28:01Z","title":"The shallow shell approach to Pogorelov's problem and the breakdown of `mirror buckling'"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.03686","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:ad2cfb46c3c0a237c0f89ad25b294aa2fb8bbf2053109f3a2d451503bb2cf7b8","target":"record","created_at":"2026-05-18T00:27:36Z","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":"196754fcf87b0d16647ad1c5c9303d2fd3654dacce8e69b0d43e8293c28ef219","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2016-04-13T08:28:01Z","title_canon_sha256":"c9e8c4b39bd14fc799eab609aa51d2207bca19bdbd0afbe4de16933bb955bc02"},"schema_version":"1.0","source":{"id":"1604.03686","kind":"arxiv","version":2}},"canonical_sha256":"f2c7e85196536d5e1c90c914939e67c76060d4601faebe1ff2d1fab649de36e4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f2c7e85196536d5e1c90c914939e67c76060d4601faebe1ff2d1fab649de36e4","first_computed_at":"2026-05-18T00:27:36.719255Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:27:36.719255Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"imXEVHN25+wnDWBqx7GSiO1VltNk/ite0wz7Z1SfAbVcCX7VftrmdUcWEfnPEZHpAPQpYlJm/PVZ1w24rASsDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:27:36.720080Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.03686","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ad2cfb46c3c0a237c0f89ad25b294aa2fb8bbf2053109f3a2d451503bb2cf7b8","sha256:424c497895927cc00f913bf68b0b5ab52307b1d4a9cb9c2030e751e935941fb7"],"state_sha256":"9b65e00ab7218ccd20cf2b4f5e2574d49ae4eb4e3f4f036b9de330b78fef7fd8"}