{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:SMZPVPSAD7G2E3IT4FRK5ASEMM","short_pith_number":"pith:SMZPVPSA","canonical_record":{"source":{"id":"1211.6507","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2012-11-28T03:11:14Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"607192e0abfc430d5173c11c9eff492a468768ba90cdfdef9164003d1d1d6d17","abstract_canon_sha256":"14ae79e455cde77643d4b4bb1ae31a42d78511931b10050b21be507dcb696991"},"schema_version":"1.0"},"canonical_sha256":"9332fabe401fcda26d13e162ae824463007d70e9ae558ac3b2cc14d550d1c189","source":{"kind":"arxiv","id":"1211.6507","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.6507","created_at":"2026-05-18T03:39:51Z"},{"alias_kind":"arxiv_version","alias_value":"1211.6507v1","created_at":"2026-05-18T03:39:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.6507","created_at":"2026-05-18T03:39:51Z"},{"alias_kind":"pith_short_12","alias_value":"SMZPVPSAD7G2","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"SMZPVPSAD7G2E3IT","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"SMZPVPSA","created_at":"2026-05-18T12:27:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:SMZPVPSAD7G2E3IT4FRK5ASEMM","target":"record","payload":{"canonical_record":{"source":{"id":"1211.6507","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2012-11-28T03:11:14Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"607192e0abfc430d5173c11c9eff492a468768ba90cdfdef9164003d1d1d6d17","abstract_canon_sha256":"14ae79e455cde77643d4b4bb1ae31a42d78511931b10050b21be507dcb696991"},"schema_version":"1.0"},"canonical_sha256":"9332fabe401fcda26d13e162ae824463007d70e9ae558ac3b2cc14d550d1c189","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:39:51.323590Z","signature_b64":"PUC6/Q+LZTwNWWMyqQOcoxVrM5ZRsiDd7a8YMdq5AGoQOP+7w7Kh1mrULHsNu6Mn+FfyB/ia5fpbbc8vp/+IBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9332fabe401fcda26d13e162ae824463007d70e9ae558ac3b2cc14d550d1c189","last_reissued_at":"2026-05-18T03:39:51.323113Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:39:51.323113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.6507","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":"2026-05-18T03:39:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XIUBNrsYlNAhb8KBNlOI9DghaQ8fd1+mTSVhLylB1GOPdSer1+ED3l2nMEWhWf8FX8qGyuw2/mRLs9xeaEb9CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T15:08:35.525973Z"},"content_sha256":"5848de423992e820f1405c98709328874557bebc526eda062db565a38cefb53b","schema_version":"1.0","event_id":"sha256:5848de423992e820f1405c98709328874557bebc526eda062db565a38cefb53b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:SMZPVPSAD7G2E3IT4FRK5ASEMM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Size-dependent Elasticity in Materials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci"],"primary_cat":"physics.comp-ph","authors_text":"Chi Huan Nguyen, Shailendra P. Joshi","submitted_at":"2012-11-28T03:11:14Z","abstract_excerpt":"In this work, we combine the nonlocal theory of Eringen into the E-B beam bending together with nonlinear kinematics [3]. We briefly present the derivation and key equations of this nonlinearnonlocal beam theory and investigate the role of nonlinearity and nonlocality for simply supported nanoscaled beams."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.6507","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":"2026-05-18T03:39:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kS3aCtZjICyyxiabRdYeTSCFmgZUZxzJNfyVB/jU9fkJ6A8CjqBSt01LD9Z66+yhFbG9Sp/utVyANucNuCvUAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T15:08:35.526533Z"},"content_sha256":"e2028a5c798d17cf1a8ac8e5e116f627cf523e4551ab107c1b8d32d633d21d7e","schema_version":"1.0","event_id":"sha256:e2028a5c798d17cf1a8ac8e5e116f627cf523e4551ab107c1b8d32d633d21d7e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SMZPVPSAD7G2E3IT4FRK5ASEMM/bundle.json","state_url":"https://pith.science/pith/SMZPVPSAD7G2E3IT4FRK5ASEMM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SMZPVPSAD7G2E3IT4FRK5ASEMM/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":"2026-06-03T15:08:35Z","links":{"resolver":"https://pith.science/pith/SMZPVPSAD7G2E3IT4FRK5ASEMM","bundle":"https://pith.science/pith/SMZPVPSAD7G2E3IT4FRK5ASEMM/bundle.json","state":"https://pith.science/pith/SMZPVPSAD7G2E3IT4FRK5ASEMM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SMZPVPSAD7G2E3IT4FRK5ASEMM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:SMZPVPSAD7G2E3IT4FRK5ASEMM","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":"14ae79e455cde77643d4b4bb1ae31a42d78511931b10050b21be507dcb696991","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2012-11-28T03:11:14Z","title_canon_sha256":"607192e0abfc430d5173c11c9eff492a468768ba90cdfdef9164003d1d1d6d17"},"schema_version":"1.0","source":{"id":"1211.6507","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.6507","created_at":"2026-05-18T03:39:51Z"},{"alias_kind":"arxiv_version","alias_value":"1211.6507v1","created_at":"2026-05-18T03:39:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.6507","created_at":"2026-05-18T03:39:51Z"},{"alias_kind":"pith_short_12","alias_value":"SMZPVPSAD7G2","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"SMZPVPSAD7G2E3IT","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"SMZPVPSA","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:e2028a5c798d17cf1a8ac8e5e116f627cf523e4551ab107c1b8d32d633d21d7e","target":"graph","created_at":"2026-05-18T03:39:51Z","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 this work, we combine the nonlocal theory of Eringen into the E-B beam bending together with nonlinear kinematics [3]. We briefly present the derivation and key equations of this nonlinearnonlocal beam theory and investigate the role of nonlinearity and nonlocality for simply supported nanoscaled beams.","authors_text":"Chi Huan Nguyen, Shailendra P. Joshi","cross_cats":["cond-mat.mtrl-sci"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2012-11-28T03:11:14Z","title":"Size-dependent Elasticity in Materials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.6507","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":"sha256:5848de423992e820f1405c98709328874557bebc526eda062db565a38cefb53b","target":"record","created_at":"2026-05-18T03:39:51Z","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":"14ae79e455cde77643d4b4bb1ae31a42d78511931b10050b21be507dcb696991","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2012-11-28T03:11:14Z","title_canon_sha256":"607192e0abfc430d5173c11c9eff492a468768ba90cdfdef9164003d1d1d6d17"},"schema_version":"1.0","source":{"id":"1211.6507","kind":"arxiv","version":1}},"canonical_sha256":"9332fabe401fcda26d13e162ae824463007d70e9ae558ac3b2cc14d550d1c189","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9332fabe401fcda26d13e162ae824463007d70e9ae558ac3b2cc14d550d1c189","first_computed_at":"2026-05-18T03:39:51.323113Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:39:51.323113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PUC6/Q+LZTwNWWMyqQOcoxVrM5ZRsiDd7a8YMdq5AGoQOP+7w7Kh1mrULHsNu6Mn+FfyB/ia5fpbbc8vp/+IBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:39:51.323590Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.6507","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5848de423992e820f1405c98709328874557bebc526eda062db565a38cefb53b","sha256:e2028a5c798d17cf1a8ac8e5e116f627cf523e4551ab107c1b8d32d633d21d7e"],"state_sha256":"fb84800074b843a79f7d570a1797045b4b5530ce924742f37c8143e68a1ebbd1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ux5+a3VBTP9s6rDJbznmW0Vsibo7XwZDomLfeX99tOf3TlLNQWyXk21mlF5KwKs3L3Ubc9hWWotTDmKurs1SDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T15:08:35.529719Z","bundle_sha256":"8e7797119540b7f58f3f7aebeabb9b758580ef8e03f3a9fd8cf50732a43adf23"}}