{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:BTTEMO3V6GTC7KNXIMOWJ2DV5G","short_pith_number":"pith:BTTEMO3V","canonical_record":{"source":{"id":"1105.4707","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-05-24T08:30:13Z","cross_cats_sorted":["cond-mat.soft","math-ph","math.MP"],"title_canon_sha256":"61cdc2eea57e4fbfb1f3943672ac8db66acd23a3878612ca675c716749958ad4","abstract_canon_sha256":"bb3054839523f61d846aa5eed66b109edf8082d398b1c848c05eb8afdfb3054f"},"schema_version":"1.0"},"canonical_sha256":"0ce6463b75f1a62fa9b7431d64e875e99c980b973555dfe59aa660af5812293f","source":{"kind":"arxiv","id":"1105.4707","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.4707","created_at":"2026-05-18T02:01:51Z"},{"alias_kind":"arxiv_version","alias_value":"1105.4707v1","created_at":"2026-05-18T02:01:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.4707","created_at":"2026-05-18T02:01:51Z"},{"alias_kind":"pith_short_12","alias_value":"BTTEMO3V6GTC","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"BTTEMO3V6GTC7KNX","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"BTTEMO3V","created_at":"2026-05-18T12:26:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:BTTEMO3V6GTC7KNXIMOWJ2DV5G","target":"record","payload":{"canonical_record":{"source":{"id":"1105.4707","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-05-24T08:30:13Z","cross_cats_sorted":["cond-mat.soft","math-ph","math.MP"],"title_canon_sha256":"61cdc2eea57e4fbfb1f3943672ac8db66acd23a3878612ca675c716749958ad4","abstract_canon_sha256":"bb3054839523f61d846aa5eed66b109edf8082d398b1c848c05eb8afdfb3054f"},"schema_version":"1.0"},"canonical_sha256":"0ce6463b75f1a62fa9b7431d64e875e99c980b973555dfe59aa660af5812293f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:51.923996Z","signature_b64":"dgz7NPmrvxB/GtgjgncZAHAC1eUv5TogsBNPyhXzEGxQSvEL0YNZd339QeSp6Tr2Br2BWQPjafH3QeDT508FCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ce6463b75f1a62fa9b7431d64e875e99c980b973555dfe59aa660af5812293f","last_reissued_at":"2026-05-18T02:01:51.923296Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:51.923296Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1105.4707","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":"2026-05-18T02:01:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hfOEM8j/vR3zBl6QrJNhidlzh3c0LCrpPUe/jyiBlZHO3M0cTJsFGcqqBLTofXIylgYs1+m3p6lfDepb2XcyBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T19:20:06.160038Z"},"content_sha256":"1dc2a119d041829ac6a8d836273d68d977e0d9ef11060bf896d87db57b243ea3","schema_version":"1.0","event_id":"sha256:1dc2a119d041829ac6a8d836273d68d977e0d9ef11060bf896d87db57b243ea3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:BTTEMO3V6GTC7KNXIMOWJ2DV5G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multilayered folding with voids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft","math-ph","math.MP"],"primary_cat":"nlin.PS","authors_text":"Chris Budd, Giles Hunt, Mark Peletier, Timothy Dodwell","submitted_at":"2011-05-24T08:30:13Z","abstract_excerpt":"In the deformation of layered materials such as geological strata, or stacks of paper, mechanical properties compete with the geometry of layering. Smooth, rounded corners lead to voids between the layers, while close packing of the layers results in geometrically-induced curvature singularities. When voids are penalized by external pressure, the system is forced to trade off these competing effects, leading to sometimes striking periodic patterns.\n  In this paper we construct a simple model of geometrically nonlinear multi-layered structures under axial loading and pressure confinement, with "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.4707","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":"2026-05-18T02:01:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ur4em/aU022gwyaR/eSu8DAzW+kAOdMukVqNtzuL+j3XpHNAwjGs1wtwGONJOIo2JQ/LudP8B0OntR4qtrItAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T19:20:06.160637Z"},"content_sha256":"ea166ea102b0a8a77400a0c67b89259d7e61da16a227c902561b9a2d88f27cc7","schema_version":"1.0","event_id":"sha256:ea166ea102b0a8a77400a0c67b89259d7e61da16a227c902561b9a2d88f27cc7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BTTEMO3V6GTC7KNXIMOWJ2DV5G/bundle.json","state_url":"https://pith.science/pith/BTTEMO3V6GTC7KNXIMOWJ2DV5G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BTTEMO3V6GTC7KNXIMOWJ2DV5G/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":"2026-06-06T19:20:06Z","links":{"resolver":"https://pith.science/pith/BTTEMO3V6GTC7KNXIMOWJ2DV5G","bundle":"https://pith.science/pith/BTTEMO3V6GTC7KNXIMOWJ2DV5G/bundle.json","state":"https://pith.science/pith/BTTEMO3V6GTC7KNXIMOWJ2DV5G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BTTEMO3V6GTC7KNXIMOWJ2DV5G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:BTTEMO3V6GTC7KNXIMOWJ2DV5G","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":"bb3054839523f61d846aa5eed66b109edf8082d398b1c848c05eb8afdfb3054f","cross_cats_sorted":["cond-mat.soft","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-05-24T08:30:13Z","title_canon_sha256":"61cdc2eea57e4fbfb1f3943672ac8db66acd23a3878612ca675c716749958ad4"},"schema_version":"1.0","source":{"id":"1105.4707","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.4707","created_at":"2026-05-18T02:01:51Z"},{"alias_kind":"arxiv_version","alias_value":"1105.4707v1","created_at":"2026-05-18T02:01:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.4707","created_at":"2026-05-18T02:01:51Z"},{"alias_kind":"pith_short_12","alias_value":"BTTEMO3V6GTC","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"BTTEMO3V6GTC7KNX","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"BTTEMO3V","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:ea166ea102b0a8a77400a0c67b89259d7e61da16a227c902561b9a2d88f27cc7","target":"graph","created_at":"2026-05-18T02:01:51Z","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":"In the deformation of layered materials such as geological strata, or stacks of paper, mechanical properties compete with the geometry of layering. Smooth, rounded corners lead to voids between the layers, while close packing of the layers results in geometrically-induced curvature singularities. When voids are penalized by external pressure, the system is forced to trade off these competing effects, leading to sometimes striking periodic patterns.\n  In this paper we construct a simple model of geometrically nonlinear multi-layered structures under axial loading and pressure confinement, with ","authors_text":"Chris Budd, Giles Hunt, Mark Peletier, Timothy Dodwell","cross_cats":["cond-mat.soft","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-05-24T08:30:13Z","title":"Multilayered folding with voids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.4707","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":"sha256:1dc2a119d041829ac6a8d836273d68d977e0d9ef11060bf896d87db57b243ea3","target":"record","created_at":"2026-05-18T02:01:51Z","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":"bb3054839523f61d846aa5eed66b109edf8082d398b1c848c05eb8afdfb3054f","cross_cats_sorted":["cond-mat.soft","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-05-24T08:30:13Z","title_canon_sha256":"61cdc2eea57e4fbfb1f3943672ac8db66acd23a3878612ca675c716749958ad4"},"schema_version":"1.0","source":{"id":"1105.4707","kind":"arxiv","version":1}},"canonical_sha256":"0ce6463b75f1a62fa9b7431d64e875e99c980b973555dfe59aa660af5812293f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0ce6463b75f1a62fa9b7431d64e875e99c980b973555dfe59aa660af5812293f","first_computed_at":"2026-05-18T02:01:51.923296Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:01:51.923296Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dgz7NPmrvxB/GtgjgncZAHAC1eUv5TogsBNPyhXzEGxQSvEL0YNZd339QeSp6Tr2Br2BWQPjafH3QeDT508FCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:01:51.923996Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.4707","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1dc2a119d041829ac6a8d836273d68d977e0d9ef11060bf896d87db57b243ea3","sha256:ea166ea102b0a8a77400a0c67b89259d7e61da16a227c902561b9a2d88f27cc7"],"state_sha256":"b6347ba7685366a540a77823dc60965d7df46bd2bb903f260a53b0eedcf96856"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UMKU5mdV1IZVSo0R1Yeh7niP7R/4UCs18jxitkcBVJg4w9k4xQEK7Aymc22yy6/bey6RyaUwb7RuF7MLjL4QDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T19:20:06.163524Z","bundle_sha256":"4c4e22ac75cb5ebb44dedf62aa2a0ccf537c8dc8bf32caed127c8735e6558dd3"}}