{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:IAOLRHOSNXWRZPK3EPI5A5CFOF","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":"cf750815d694834ffe09b224de99ed7421f6a7d42e3248883c5096bc746638a6","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-06-21T20:03:51Z","title_canon_sha256":"cd777ad2614baf51f414a9a66efaee3305f2ce4472277395971ae903030b1af1"},"schema_version":"1.0","source":{"id":"1606.06748","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.06748","created_at":"2026-05-18T01:09:30Z"},{"alias_kind":"arxiv_version","alias_value":"1606.06748v1","created_at":"2026-05-18T01:09:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.06748","created_at":"2026-05-18T01:09:30Z"},{"alias_kind":"pith_short_12","alias_value":"IAOLRHOSNXWR","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IAOLRHOSNXWRZPK3","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IAOLRHOS","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:518338c1f3b3dc4ca07359f07e2feb58a5f744158032e772cb6afc7114b86bf9","target":"graph","created_at":"2026-05-18T01:09:30Z","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 order to understand the relation of strain and material properties, both a microscopic model connecting a given strain to the displacement of atoms, and a macroscopic model relating applied stress to induced strain, are required. Starting from a valence-force model for black phosphorous (phosphorene) [Kaneta et al., Solid State Communications, 1982, 44, 613] we use recent experimental and computational results to obtain an improved set of valence-force parameters. From the model we calculate the phonon dispersion and the elastic properties of single-layer phosphorene. Finally, we use these ","authors_text":"Alexander Croy, Daniel Midtvedt","cross_cats":["cond-mat.mtrl-sci"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-06-21T20:03:51Z","title":"Valence force model and nanomechanics of single-layer phosphorene"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.06748","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":"sha256:6e25e57e70938bc2e37e9edf9664981c6408b4178383f80490a03b34062a41c2","target":"record","created_at":"2026-05-18T01:09:30Z","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":"cf750815d694834ffe09b224de99ed7421f6a7d42e3248883c5096bc746638a6","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-06-21T20:03:51Z","title_canon_sha256":"cd777ad2614baf51f414a9a66efaee3305f2ce4472277395971ae903030b1af1"},"schema_version":"1.0","source":{"id":"1606.06748","kind":"arxiv","version":1}},"canonical_sha256":"401cb89dd26ded1cbd5b23d1d07445714403505a98c35e9a495a00be04947fbe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"401cb89dd26ded1cbd5b23d1d07445714403505a98c35e9a495a00be04947fbe","first_computed_at":"2026-05-18T01:09:30.722117Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:30.722117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CEe5N680nKCMikriCfHcYZWZlaET77SDSOAnx/ayCD52ScMO7uti8SirH9aYOoWsbalpKB+Waw2zaAkPfh7mCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:30.722496Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.06748","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6e25e57e70938bc2e37e9edf9664981c6408b4178383f80490a03b34062a41c2","sha256:518338c1f3b3dc4ca07359f07e2feb58a5f744158032e772cb6afc7114b86bf9"],"state_sha256":"fcab3428df15d560355c32bd2eafd73c7c1a2c091f974ca9185e5bf798d1a79b"}