{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:PZ465YJGVIMU7W3QCYIL2ZFGNC","short_pith_number":"pith:PZ465YJG","canonical_record":{"source":{"id":"1706.03869","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2017-06-12T23:18:38Z","cross_cats_sorted":["math.MG"],"title_canon_sha256":"0a2882ef4df0e872424b5f94ba7929413f977867b3c139b1af7296f6b57e6b43","abstract_canon_sha256":"8c5269b7756d3946e661b88d81764f027b4b2501d6c1cb5ff5ea1f39c60bc0be"},"schema_version":"1.0"},"canonical_sha256":"7e79eee126aa194fdb701610bd64a668ad907b92c86f2409da524421317142e8","source":{"kind":"arxiv","id":"1706.03869","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.03869","created_at":"2026-05-18T00:22:20Z"},{"alias_kind":"arxiv_version","alias_value":"1706.03869v2","created_at":"2026-05-18T00:22:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.03869","created_at":"2026-05-18T00:22:20Z"},{"alias_kind":"pith_short_12","alias_value":"PZ465YJGVIMU","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"PZ465YJGVIMU7W3Q","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"PZ465YJG","created_at":"2026-05-18T12:31:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:PZ465YJGVIMU7W3QCYIL2ZFGNC","target":"record","payload":{"canonical_record":{"source":{"id":"1706.03869","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2017-06-12T23:18:38Z","cross_cats_sorted":["math.MG"],"title_canon_sha256":"0a2882ef4df0e872424b5f94ba7929413f977867b3c139b1af7296f6b57e6b43","abstract_canon_sha256":"8c5269b7756d3946e661b88d81764f027b4b2501d6c1cb5ff5ea1f39c60bc0be"},"schema_version":"1.0"},"canonical_sha256":"7e79eee126aa194fdb701610bd64a668ad907b92c86f2409da524421317142e8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:20.948205Z","signature_b64":"JApVe6Pufo2MhLtGlaWbvjz0d1K8LueTt3OkUEdbz7oQqveapY9I4vSeyGSvgr569R6eqo98fLg1TVHfJHhrBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7e79eee126aa194fdb701610bd64a668ad907b92c86f2409da524421317142e8","last_reissued_at":"2026-05-18T00:22:20.947637Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:20.947637Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.03869","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":"2026-05-18T00:22:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LKIlKxEtmXx0dq7CILkO8pTxLbHgZgrL5Wj89zZalMTTcECwpaqRkFDvULvEqFui+iVtK7kHnv2cQ7xwBB8PBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T05:50:16.690097Z"},"content_sha256":"ebc4e9353f6df714a6db9f5ce72efa2cca44e63812a46619c5c60f0faa9ee26b","schema_version":"1.0","event_id":"sha256:ebc4e9353f6df714a6db9f5ce72efa2cca44e63812a46619c5c60f0faa9ee26b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:PZ465YJGVIMU7W3QCYIL2ZFGNC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Branches of triangulated origami near the unfolded state","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MG"],"primary_cat":"cond-mat.soft","authors_text":"Bryan Gin-ge Chen, Christian D. Santangelo","submitted_at":"2017-06-12T23:18:38Z","abstract_excerpt":"Origami structures are characterized by a network of folds and vertices joining unbendable plates. For applications to mechanical design and self-folding structures, it is essential to understand the interplay between the set of folds in the unfolded origami and the possible 3D folded configurations. When deforming a structure that has been folded, one can often linearize the geometric constraints, but the degeneracy of the unfolded state makes a linear approach impossible there. We derive a theory for the second-order infinitesimal rigidity of an initially unfolded triangulated origami struct"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.03869","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":"2026-05-18T00:22:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H1LB4v2lVGORfDani294iJff5WAJrvoOAhfihFgGbSejiKltsSxpdsAbI+ReVae+VlhV7MQ+H+3tlFdgpJ+FDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T05:50:16.690857Z"},"content_sha256":"a0d015d25b1db57fe2fb1ec03a6cde772964f845b111fb6f85aa995d68c12222","schema_version":"1.0","event_id":"sha256:a0d015d25b1db57fe2fb1ec03a6cde772964f845b111fb6f85aa995d68c12222"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PZ465YJGVIMU7W3QCYIL2ZFGNC/bundle.json","state_url":"https://pith.science/pith/PZ465YJGVIMU7W3QCYIL2ZFGNC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PZ465YJGVIMU7W3QCYIL2ZFGNC/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":"2026-06-10T05:50:16Z","links":{"resolver":"https://pith.science/pith/PZ465YJGVIMU7W3QCYIL2ZFGNC","bundle":"https://pith.science/pith/PZ465YJGVIMU7W3QCYIL2ZFGNC/bundle.json","state":"https://pith.science/pith/PZ465YJGVIMU7W3QCYIL2ZFGNC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PZ465YJGVIMU7W3QCYIL2ZFGNC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:PZ465YJGVIMU7W3QCYIL2ZFGNC","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":"8c5269b7756d3946e661b88d81764f027b4b2501d6c1cb5ff5ea1f39c60bc0be","cross_cats_sorted":["math.MG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2017-06-12T23:18:38Z","title_canon_sha256":"0a2882ef4df0e872424b5f94ba7929413f977867b3c139b1af7296f6b57e6b43"},"schema_version":"1.0","source":{"id":"1706.03869","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.03869","created_at":"2026-05-18T00:22:20Z"},{"alias_kind":"arxiv_version","alias_value":"1706.03869v2","created_at":"2026-05-18T00:22:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.03869","created_at":"2026-05-18T00:22:20Z"},{"alias_kind":"pith_short_12","alias_value":"PZ465YJGVIMU","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"PZ465YJGVIMU7W3Q","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"PZ465YJG","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:a0d015d25b1db57fe2fb1ec03a6cde772964f845b111fb6f85aa995d68c12222","target":"graph","created_at":"2026-05-18T00:22:20Z","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":"Origami structures are characterized by a network of folds and vertices joining unbendable plates. For applications to mechanical design and self-folding structures, it is essential to understand the interplay between the set of folds in the unfolded origami and the possible 3D folded configurations. When deforming a structure that has been folded, one can often linearize the geometric constraints, but the degeneracy of the unfolded state makes a linear approach impossible there. We derive a theory for the second-order infinitesimal rigidity of an initially unfolded triangulated origami struct","authors_text":"Bryan Gin-ge Chen, Christian D. Santangelo","cross_cats":["math.MG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2017-06-12T23:18:38Z","title":"Branches of triangulated origami near the unfolded state"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.03869","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:ebc4e9353f6df714a6db9f5ce72efa2cca44e63812a46619c5c60f0faa9ee26b","target":"record","created_at":"2026-05-18T00:22:20Z","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":"8c5269b7756d3946e661b88d81764f027b4b2501d6c1cb5ff5ea1f39c60bc0be","cross_cats_sorted":["math.MG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2017-06-12T23:18:38Z","title_canon_sha256":"0a2882ef4df0e872424b5f94ba7929413f977867b3c139b1af7296f6b57e6b43"},"schema_version":"1.0","source":{"id":"1706.03869","kind":"arxiv","version":2}},"canonical_sha256":"7e79eee126aa194fdb701610bd64a668ad907b92c86f2409da524421317142e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7e79eee126aa194fdb701610bd64a668ad907b92c86f2409da524421317142e8","first_computed_at":"2026-05-18T00:22:20.947637Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:20.947637Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JApVe6Pufo2MhLtGlaWbvjz0d1K8LueTt3OkUEdbz7oQqveapY9I4vSeyGSvgr569R6eqo98fLg1TVHfJHhrBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:20.948205Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.03869","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ebc4e9353f6df714a6db9f5ce72efa2cca44e63812a46619c5c60f0faa9ee26b","sha256:a0d015d25b1db57fe2fb1ec03a6cde772964f845b111fb6f85aa995d68c12222"],"state_sha256":"deb24c5acc23a88788d0bd06056f19f58a46424262e8672bf3fb3b31330d2e3a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4TA7/JI3Ae2wh++cXVOCiyTPjIh5WLBHAJ2vHbRMO/MO4kDOgXF8OYV9mjA1t4SFNE4JZ/3BP308O5geQ0RnBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T05:50:16.695222Z","bundle_sha256":"ba1aff5c12163102ec0df7e03534affb86e8f13a0d372a6909c9f270dd2f6cbc"}}