{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:CEZE2LHI662MAEJGRIEBWJBTRQ","short_pith_number":"pith:CEZE2LHI","canonical_record":{"source":{"id":"1702.03737","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2017-02-13T12:24:09Z","cross_cats_sorted":["cond-mat.soft","math-ph","math.DG","math.MP"],"title_canon_sha256":"fa17f3f65da464a6dbcd96d9edf2017af8fd74e328c8bcdd7c007af120672382","abstract_canon_sha256":"6c96788866429ecd1f7f1105885427b6580cab3ff865729570f92140cbe26bad"},"schema_version":"1.0"},"canonical_sha256":"11324d2ce8f7b4c011268a081b24338c2d1e89c18e568cbfd15788b04890dcd6","source":{"kind":"arxiv","id":"1702.03737","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.03737","created_at":"2026-05-18T00:50:53Z"},{"alias_kind":"arxiv_version","alias_value":"1702.03737v1","created_at":"2026-05-18T00:50:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.03737","created_at":"2026-05-18T00:50:53Z"},{"alias_kind":"pith_short_12","alias_value":"CEZE2LHI662M","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CEZE2LHI662MAEJG","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CEZE2LHI","created_at":"2026-05-18T12:31:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:CEZE2LHI662MAEJGRIEBWJBTRQ","target":"record","payload":{"canonical_record":{"source":{"id":"1702.03737","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2017-02-13T12:24:09Z","cross_cats_sorted":["cond-mat.soft","math-ph","math.DG","math.MP"],"title_canon_sha256":"fa17f3f65da464a6dbcd96d9edf2017af8fd74e328c8bcdd7c007af120672382","abstract_canon_sha256":"6c96788866429ecd1f7f1105885427b6580cab3ff865729570f92140cbe26bad"},"schema_version":"1.0"},"canonical_sha256":"11324d2ce8f7b4c011268a081b24338c2d1e89c18e568cbfd15788b04890dcd6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:53.106134Z","signature_b64":"q6lFuDOwqQw2XI6eAMtyvxsH6SAbtd3WWK7cO90+Lbeg8bQc2omFxrCewOzzzmynH+cU8i1ioy7uLaVZD4BRBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"11324d2ce8f7b4c011268a081b24338c2d1e89c18e568cbfd15788b04890dcd6","last_reissued_at":"2026-05-18T00:50:53.105704Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:53.105704Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.03737","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":"2026-05-18T00:50:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xZ3/a3ryk22gPt8FM6ThhJMTtzilBHvmuyU3dZsvoD7SjKw+qnn/k/HXifCmsvJi29m71mmKaxUzZhqjdkL2Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T14:13:10.569629Z"},"content_sha256":"94eeb20371f1a0e052afcf33e2ebecc842622334f8b3bf348953c83dbc8cf827","schema_version":"1.0","event_id":"sha256:94eeb20371f1a0e052afcf33e2ebecc842622334f8b3bf348953c83dbc8cf827"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:CEZE2LHI662MAEJGRIEBWJBTRQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On structured surfaces with defects: geometry, strain incompatibility, internal stress, and natural shapes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft","math-ph","math.DG","math.MP"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Anurag Gupta, Ayan Roychowdhury","submitted_at":"2017-02-13T12:24:09Z","abstract_excerpt":"Given a distribution of defects on a structured surface, such as those represented by 2-dimensional crystalline materials, liquid crystalline surfaces, and thin sandwiched shells, what is the resulting stress field and the deformed shape? Motivated by this concern, we first classify, and quantify, the translational, rotational, and metrical defects allowable over a broad class of structured surfaces. With an appropriate notion of strain, the defect densities are then shown to appear as sources of strain incompatibility. The strain incompatibility relations, with appropriate kinematical assumpt"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.03737","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":"2026-05-18T00:50:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A+jh1ydJgdt/VKTk8we8pKHbI855EyD8HInoajroKYQqIn4LwBg8CrmLfBau/A/Qw3Ia5xDaVeqghFuu2S4bBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T14:13:10.570298Z"},"content_sha256":"9d36a5d19a0b99dd617e0246c94e1c498d3a2bbd33b9ace70ea96b19087198e2","schema_version":"1.0","event_id":"sha256:9d36a5d19a0b99dd617e0246c94e1c498d3a2bbd33b9ace70ea96b19087198e2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CEZE2LHI662MAEJGRIEBWJBTRQ/bundle.json","state_url":"https://pith.science/pith/CEZE2LHI662MAEJGRIEBWJBTRQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CEZE2LHI662MAEJGRIEBWJBTRQ/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":"2026-05-26T14:13:10Z","links":{"resolver":"https://pith.science/pith/CEZE2LHI662MAEJGRIEBWJBTRQ","bundle":"https://pith.science/pith/CEZE2LHI662MAEJGRIEBWJBTRQ/bundle.json","state":"https://pith.science/pith/CEZE2LHI662MAEJGRIEBWJBTRQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CEZE2LHI662MAEJGRIEBWJBTRQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:CEZE2LHI662MAEJGRIEBWJBTRQ","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":"6c96788866429ecd1f7f1105885427b6580cab3ff865729570f92140cbe26bad","cross_cats_sorted":["cond-mat.soft","math-ph","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2017-02-13T12:24:09Z","title_canon_sha256":"fa17f3f65da464a6dbcd96d9edf2017af8fd74e328c8bcdd7c007af120672382"},"schema_version":"1.0","source":{"id":"1702.03737","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.03737","created_at":"2026-05-18T00:50:53Z"},{"alias_kind":"arxiv_version","alias_value":"1702.03737v1","created_at":"2026-05-18T00:50:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.03737","created_at":"2026-05-18T00:50:53Z"},{"alias_kind":"pith_short_12","alias_value":"CEZE2LHI662M","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CEZE2LHI662MAEJG","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CEZE2LHI","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:9d36a5d19a0b99dd617e0246c94e1c498d3a2bbd33b9ace70ea96b19087198e2","target":"graph","created_at":"2026-05-18T00:50:53Z","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":"Given a distribution of defects on a structured surface, such as those represented by 2-dimensional crystalline materials, liquid crystalline surfaces, and thin sandwiched shells, what is the resulting stress field and the deformed shape? Motivated by this concern, we first classify, and quantify, the translational, rotational, and metrical defects allowable over a broad class of structured surfaces. With an appropriate notion of strain, the defect densities are then shown to appear as sources of strain incompatibility. The strain incompatibility relations, with appropriate kinematical assumpt","authors_text":"Anurag Gupta, Ayan Roychowdhury","cross_cats":["cond-mat.soft","math-ph","math.DG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2017-02-13T12:24:09Z","title":"On structured surfaces with defects: geometry, strain incompatibility, internal stress, and natural shapes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.03737","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":"sha256:94eeb20371f1a0e052afcf33e2ebecc842622334f8b3bf348953c83dbc8cf827","target":"record","created_at":"2026-05-18T00:50:53Z","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":"6c96788866429ecd1f7f1105885427b6580cab3ff865729570f92140cbe26bad","cross_cats_sorted":["cond-mat.soft","math-ph","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2017-02-13T12:24:09Z","title_canon_sha256":"fa17f3f65da464a6dbcd96d9edf2017af8fd74e328c8bcdd7c007af120672382"},"schema_version":"1.0","source":{"id":"1702.03737","kind":"arxiv","version":1}},"canonical_sha256":"11324d2ce8f7b4c011268a081b24338c2d1e89c18e568cbfd15788b04890dcd6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"11324d2ce8f7b4c011268a081b24338c2d1e89c18e568cbfd15788b04890dcd6","first_computed_at":"2026-05-18T00:50:53.105704Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:53.105704Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q6lFuDOwqQw2XI6eAMtyvxsH6SAbtd3WWK7cO90+Lbeg8bQc2omFxrCewOzzzmynH+cU8i1ioy7uLaVZD4BRBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:53.106134Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.03737","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:94eeb20371f1a0e052afcf33e2ebecc842622334f8b3bf348953c83dbc8cf827","sha256:9d36a5d19a0b99dd617e0246c94e1c498d3a2bbd33b9ace70ea96b19087198e2"],"state_sha256":"452a96994001761db2ac0a8d88975f0dfe794e1b1ffd3412daeec0802b727b86"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4w7acaz0S7IcPdeV1w0Kh2Y2Voiv/pD2t4ri/62UPZpjRqIn+yFCMBpeUeg58inEEUKHjjzMuGYzKxPoomFZCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T14:13:10.574003Z","bundle_sha256":"62c507ca64b962d8d2dcbcd692762bdb6d46dfe4df4e7b6ffa5f9047178aabc2"}}