{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:XOQ6W5NM763VC5OMBIFVJQSOB4","short_pith_number":"pith:XOQ6W5NM","canonical_record":{"source":{"id":"1603.03894","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2016-03-12T11:33:42Z","cross_cats_sorted":[],"title_canon_sha256":"9c6a0c91bab0c8efbabbb74438e49ed72839d4a1d080860c567728e651f5a15d","abstract_canon_sha256":"6a66fcb19b32ec3a8acdb40fdbcb333f8ea0dac2e18180c3a262b4da19cb5206"},"schema_version":"1.0"},"canonical_sha256":"bba1eb75acffb75175cc0a0b54c24e0f04598bb55c1c871cee0b565f1e2d4faf","source":{"kind":"arxiv","id":"1603.03894","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.03894","created_at":"2026-05-18T01:19:10Z"},{"alias_kind":"arxiv_version","alias_value":"1603.03894v1","created_at":"2026-05-18T01:19:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.03894","created_at":"2026-05-18T01:19:10Z"},{"alias_kind":"pith_short_12","alias_value":"XOQ6W5NM763V","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XOQ6W5NM763VC5OM","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XOQ6W5NM","created_at":"2026-05-18T12:30:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:XOQ6W5NM763VC5OMBIFVJQSOB4","target":"record","payload":{"canonical_record":{"source":{"id":"1603.03894","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2016-03-12T11:33:42Z","cross_cats_sorted":[],"title_canon_sha256":"9c6a0c91bab0c8efbabbb74438e49ed72839d4a1d080860c567728e651f5a15d","abstract_canon_sha256":"6a66fcb19b32ec3a8acdb40fdbcb333f8ea0dac2e18180c3a262b4da19cb5206"},"schema_version":"1.0"},"canonical_sha256":"bba1eb75acffb75175cc0a0b54c24e0f04598bb55c1c871cee0b565f1e2d4faf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:10.155011Z","signature_b64":"4v3ZM5OFiaDGtMCzLb4R0ipjo7pw8P4sQLk0Unlra8+TJpNbD+SBTYxb84gVuZimrL6CKvwjvL3REVxhIc7FDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bba1eb75acffb75175cc0a0b54c24e0f04598bb55c1c871cee0b565f1e2d4faf","last_reissued_at":"2026-05-18T01:19:10.154311Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:10.154311Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.03894","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":"2026-05-18T01:19:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EeTddvSlmcjlzCZPgv9iHXD6kE8hZED96A+wtCpdsL2n1IXH3PHWLU+OYXrXSZmTBPedfZLeYp0d1IK+7Ed6DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T03:53:21.853579Z"},"content_sha256":"e671b06e7bb9a6188f2edca5039f42c7e44b3639eb763e6af0c1492332a8e642","schema_version":"1.0","event_id":"sha256:e671b06e7bb9a6188f2edca5039f42c7e44b3639eb763e6af0c1492332a8e642"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:XOQ6W5NM763VC5OMBIFVJQSOB4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A peridynamic approach to flexoelectricity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.comp-ph","authors_text":"Debasish Roy, Pranesh Roy","submitted_at":"2016-03-12T11:33:42Z","abstract_excerpt":"A flexoelectric peridynamic (PD) theory is proposed. Using the PD framework, the formulation introduces, perhaps for the first time, a nanoscale flexoelectric coupling that entails non-uniform strain in centrosymmetric dielectrics. This potentially enables PD modeling of a large class of phenomena in solid dielectrics involving cracks, discontinuities etc. wherein large strain gradients are present and the classical electromechanical theory based on partial differential equations do not directly apply. Derived from Hamilton's principle, PD electromechanical equations are shown to satisfy the g"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.03894","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":"2026-05-18T01:19:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IYXQUancFVvdc2b2v5WZ7yezKw1QYGcU0UbUtZTupO/Zs/TPJOCGdtOqvnZfTAd5M23rdsp5lbqjIi+npNRNBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T03:53:21.854244Z"},"content_sha256":"9f1fc5d7b15e9cb02f0db50e8e8eec1278f427d0ba4f512055dc3aa683ca1742","schema_version":"1.0","event_id":"sha256:9f1fc5d7b15e9cb02f0db50e8e8eec1278f427d0ba4f512055dc3aa683ca1742"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XOQ6W5NM763VC5OMBIFVJQSOB4/bundle.json","state_url":"https://pith.science/pith/XOQ6W5NM763VC5OMBIFVJQSOB4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XOQ6W5NM763VC5OMBIFVJQSOB4/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":"2026-06-09T03:53:21Z","links":{"resolver":"https://pith.science/pith/XOQ6W5NM763VC5OMBIFVJQSOB4","bundle":"https://pith.science/pith/XOQ6W5NM763VC5OMBIFVJQSOB4/bundle.json","state":"https://pith.science/pith/XOQ6W5NM763VC5OMBIFVJQSOB4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XOQ6W5NM763VC5OMBIFVJQSOB4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:XOQ6W5NM763VC5OMBIFVJQSOB4","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":"6a66fcb19b32ec3a8acdb40fdbcb333f8ea0dac2e18180c3a262b4da19cb5206","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2016-03-12T11:33:42Z","title_canon_sha256":"9c6a0c91bab0c8efbabbb74438e49ed72839d4a1d080860c567728e651f5a15d"},"schema_version":"1.0","source":{"id":"1603.03894","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.03894","created_at":"2026-05-18T01:19:10Z"},{"alias_kind":"arxiv_version","alias_value":"1603.03894v1","created_at":"2026-05-18T01:19:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.03894","created_at":"2026-05-18T01:19:10Z"},{"alias_kind":"pith_short_12","alias_value":"XOQ6W5NM763V","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XOQ6W5NM763VC5OM","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XOQ6W5NM","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:9f1fc5d7b15e9cb02f0db50e8e8eec1278f427d0ba4f512055dc3aa683ca1742","target":"graph","created_at":"2026-05-18T01:19:10Z","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":"A flexoelectric peridynamic (PD) theory is proposed. Using the PD framework, the formulation introduces, perhaps for the first time, a nanoscale flexoelectric coupling that entails non-uniform strain in centrosymmetric dielectrics. This potentially enables PD modeling of a large class of phenomena in solid dielectrics involving cracks, discontinuities etc. wherein large strain gradients are present and the classical electromechanical theory based on partial differential equations do not directly apply. Derived from Hamilton's principle, PD electromechanical equations are shown to satisfy the g","authors_text":"Debasish Roy, Pranesh Roy","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2016-03-12T11:33:42Z","title":"A peridynamic approach to flexoelectricity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.03894","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:e671b06e7bb9a6188f2edca5039f42c7e44b3639eb763e6af0c1492332a8e642","target":"record","created_at":"2026-05-18T01:19:10Z","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":"6a66fcb19b32ec3a8acdb40fdbcb333f8ea0dac2e18180c3a262b4da19cb5206","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2016-03-12T11:33:42Z","title_canon_sha256":"9c6a0c91bab0c8efbabbb74438e49ed72839d4a1d080860c567728e651f5a15d"},"schema_version":"1.0","source":{"id":"1603.03894","kind":"arxiv","version":1}},"canonical_sha256":"bba1eb75acffb75175cc0a0b54c24e0f04598bb55c1c871cee0b565f1e2d4faf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bba1eb75acffb75175cc0a0b54c24e0f04598bb55c1c871cee0b565f1e2d4faf","first_computed_at":"2026-05-18T01:19:10.154311Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:10.154311Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4v3ZM5OFiaDGtMCzLb4R0ipjo7pw8P4sQLk0Unlra8+TJpNbD+SBTYxb84gVuZimrL6CKvwjvL3REVxhIc7FDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:10.155011Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.03894","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e671b06e7bb9a6188f2edca5039f42c7e44b3639eb763e6af0c1492332a8e642","sha256:9f1fc5d7b15e9cb02f0db50e8e8eec1278f427d0ba4f512055dc3aa683ca1742"],"state_sha256":"97fa05a6c4b6a92f650d86a099f83004a4c705972a1a551a83fc108f82a25597"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5LqQv/mTJ2sUHM2nCxo65pFk6QDi2hWZ+LV8J0brejwkHEb06Jt3OZCyLvYjW6yEe1o8WabQAzgoheRFeW3gAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T03:53:21.859296Z","bundle_sha256":"00529e35f3cb8e6568e5b7e10fc2cd069750afd47828f206beafec1d5e5103c7"}}