{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:FP43XHGCMVQYQCQ5U6QWPO3CAK","short_pith_number":"pith:FP43XHGC","canonical_record":{"source":{"id":"1309.3309","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2013-09-12T21:15:59Z","cross_cats_sorted":[],"title_canon_sha256":"1228b7ddf9725080e63b4b99d0bbabac401ce1b441eaa745b10ab658b39c1068","abstract_canon_sha256":"b831939b660533f6a00220ae79510e5df59362662f27c24805c7f8fcf107f033"},"schema_version":"1.0"},"canonical_sha256":"2bf9bb9cc26561880a1da7a167bb6202a2a0f3f875376c4a7a2906623f8f0706","source":{"kind":"arxiv","id":"1309.3309","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.3309","created_at":"2026-05-18T03:05:27Z"},{"alias_kind":"arxiv_version","alias_value":"1309.3309v2","created_at":"2026-05-18T03:05:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.3309","created_at":"2026-05-18T03:05:27Z"},{"alias_kind":"pith_short_12","alias_value":"FP43XHGCMVQY","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FP43XHGCMVQYQCQ5","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FP43XHGC","created_at":"2026-05-18T12:27:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:FP43XHGCMVQYQCQ5U6QWPO3CAK","target":"record","payload":{"canonical_record":{"source":{"id":"1309.3309","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2013-09-12T21:15:59Z","cross_cats_sorted":[],"title_canon_sha256":"1228b7ddf9725080e63b4b99d0bbabac401ce1b441eaa745b10ab658b39c1068","abstract_canon_sha256":"b831939b660533f6a00220ae79510e5df59362662f27c24805c7f8fcf107f033"},"schema_version":"1.0"},"canonical_sha256":"2bf9bb9cc26561880a1da7a167bb6202a2a0f3f875376c4a7a2906623f8f0706","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:05:27.914241Z","signature_b64":"bVolCX88iW8vBW/FNbIKEs0ty6gl0HAR6nHAB6EagSZ3SLSPQCVr69icegT59Fo8CHd295toxOAsyQ5Csk9TDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2bf9bb9cc26561880a1da7a167bb6202a2a0f3f875376c4a7a2906623f8f0706","last_reissued_at":"2026-05-18T03:05:27.913642Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:05:27.913642Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.3309","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":"2026-05-18T03:05:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sfpn6kTx2MnhUii/5BOuTVIGmMg4XT1l10mkBSbSSe1UCgr6R6s8qAjxlpOn5OcFmrZ19fd/bDb+ec0GsE5ECw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T21:52:27.210887Z"},"content_sha256":"eed73148e551557f76983adb3efc4decf1edc7570548ec17db78f303166df1ec","schema_version":"1.0","event_id":"sha256:eed73148e551557f76983adb3efc4decf1edc7570548ec17db78f303166df1ec"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:FP43XHGCMVQYQCQ5U6QWPO3CAK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Theory of local electric polarization and its relation to internal strain: impact on the polarization potential and electronic properties of group-III nitrides","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Eoin P. O'Reilly, Miguel A. Caro, Stefan Schulz","submitted_at":"2013-09-12T21:15:59Z","abstract_excerpt":"We present a theory of local electric polarization in crystalline solids and apply it to study the case of wurtzite group-III nitrides. We show that a local value of the electric polarization, evaluated at the atomic sites, can be cast in terms of a summation over nearest-neighbor distances and Born effective charges. Within this model, the local polarization shows a direct relation to internal strain and can be expressed in terms of internal strain parameters. The predictions of the present theory show excellent agreement with a formal Berry phase calculation for random distortions of a test-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.3309","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":"2026-05-18T03:05:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5KmQcLWWueDH/t3lLE3jJh9oIp9JVk47jq5uzOgUIflS+8+6oSQ31z8/1X8JyGsaj2le4fwvp8Lmscp6ZuarAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T21:52:27.211232Z"},"content_sha256":"11e028906ce273f2e7bd57c55a73e828a2f413e8ab7d014a4717e3ee2258ccb2","schema_version":"1.0","event_id":"sha256:11e028906ce273f2e7bd57c55a73e828a2f413e8ab7d014a4717e3ee2258ccb2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FP43XHGCMVQYQCQ5U6QWPO3CAK/bundle.json","state_url":"https://pith.science/pith/FP43XHGCMVQYQCQ5U6QWPO3CAK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FP43XHGCMVQYQCQ5U6QWPO3CAK/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":"2026-06-01T21:52:27Z","links":{"resolver":"https://pith.science/pith/FP43XHGCMVQYQCQ5U6QWPO3CAK","bundle":"https://pith.science/pith/FP43XHGCMVQYQCQ5U6QWPO3CAK/bundle.json","state":"https://pith.science/pith/FP43XHGCMVQYQCQ5U6QWPO3CAK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FP43XHGCMVQYQCQ5U6QWPO3CAK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:FP43XHGCMVQYQCQ5U6QWPO3CAK","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":"b831939b660533f6a00220ae79510e5df59362662f27c24805c7f8fcf107f033","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2013-09-12T21:15:59Z","title_canon_sha256":"1228b7ddf9725080e63b4b99d0bbabac401ce1b441eaa745b10ab658b39c1068"},"schema_version":"1.0","source":{"id":"1309.3309","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.3309","created_at":"2026-05-18T03:05:27Z"},{"alias_kind":"arxiv_version","alias_value":"1309.3309v2","created_at":"2026-05-18T03:05:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.3309","created_at":"2026-05-18T03:05:27Z"},{"alias_kind":"pith_short_12","alias_value":"FP43XHGCMVQY","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FP43XHGCMVQYQCQ5","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FP43XHGC","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:11e028906ce273f2e7bd57c55a73e828a2f413e8ab7d014a4717e3ee2258ccb2","target":"graph","created_at":"2026-05-18T03:05:27Z","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":"We present a theory of local electric polarization in crystalline solids and apply it to study the case of wurtzite group-III nitrides. We show that a local value of the electric polarization, evaluated at the atomic sites, can be cast in terms of a summation over nearest-neighbor distances and Born effective charges. Within this model, the local polarization shows a direct relation to internal strain and can be expressed in terms of internal strain parameters. The predictions of the present theory show excellent agreement with a formal Berry phase calculation for random distortions of a test-","authors_text":"Eoin P. O'Reilly, Miguel A. Caro, Stefan Schulz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2013-09-12T21:15:59Z","title":"Theory of local electric polarization and its relation to internal strain: impact on the polarization potential and electronic properties of group-III nitrides"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.3309","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:eed73148e551557f76983adb3efc4decf1edc7570548ec17db78f303166df1ec","target":"record","created_at":"2026-05-18T03:05:27Z","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":"b831939b660533f6a00220ae79510e5df59362662f27c24805c7f8fcf107f033","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2013-09-12T21:15:59Z","title_canon_sha256":"1228b7ddf9725080e63b4b99d0bbabac401ce1b441eaa745b10ab658b39c1068"},"schema_version":"1.0","source":{"id":"1309.3309","kind":"arxiv","version":2}},"canonical_sha256":"2bf9bb9cc26561880a1da7a167bb6202a2a0f3f875376c4a7a2906623f8f0706","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2bf9bb9cc26561880a1da7a167bb6202a2a0f3f875376c4a7a2906623f8f0706","first_computed_at":"2026-05-18T03:05:27.913642Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:05:27.913642Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bVolCX88iW8vBW/FNbIKEs0ty6gl0HAR6nHAB6EagSZ3SLSPQCVr69icegT59Fo8CHd295toxOAsyQ5Csk9TDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:05:27.914241Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.3309","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eed73148e551557f76983adb3efc4decf1edc7570548ec17db78f303166df1ec","sha256:11e028906ce273f2e7bd57c55a73e828a2f413e8ab7d014a4717e3ee2258ccb2"],"state_sha256":"d4654d5f5025810fedf8599242f87ba2257de8b136e664d040722678433b0d7c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Cx3IcG2xzppj/o/ikMn6YRFiFfRU0pEymwt6AGUQa+k/Z9bTE8XqijS7BxAJyeyoZPCza+8KtOkdyKQdXzkQCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T21:52:27.213281Z","bundle_sha256":"652cdb60d848dc6068069a5e735eba85f0bd3e6d2a08c235b70bffbd77846552"}}