{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:SIWKYVR7NYJAPLXESV5GO5WNHH","short_pith_number":"pith:SIWKYVR7","canonical_record":{"source":{"id":"1706.07751","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-06-23T15:39:06Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"70dd608e8982d4e16ea57f5dadadd84971d8f1b9c07df3552833cd6ce522ff36","abstract_canon_sha256":"6494a6d5d20db829807f57e5fee8f4d0a09781d12f1e0d6a515960f8b48a8a50"},"schema_version":"1.0"},"canonical_sha256":"922cac563f6e1207aee4957a6776cd39c29f9a16d3d45787692d60b45c7fce95","source":{"kind":"arxiv","id":"1706.07751","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.07751","created_at":"2026-05-18T00:18:20Z"},{"alias_kind":"arxiv_version","alias_value":"1706.07751v1","created_at":"2026-05-18T00:18:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.07751","created_at":"2026-05-18T00:18:20Z"},{"alias_kind":"pith_short_12","alias_value":"SIWKYVR7NYJA","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SIWKYVR7NYJAPLXE","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SIWKYVR7","created_at":"2026-05-18T12:31:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:SIWKYVR7NYJAPLXESV5GO5WNHH","target":"record","payload":{"canonical_record":{"source":{"id":"1706.07751","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-06-23T15:39:06Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"70dd608e8982d4e16ea57f5dadadd84971d8f1b9c07df3552833cd6ce522ff36","abstract_canon_sha256":"6494a6d5d20db829807f57e5fee8f4d0a09781d12f1e0d6a515960f8b48a8a50"},"schema_version":"1.0"},"canonical_sha256":"922cac563f6e1207aee4957a6776cd39c29f9a16d3d45787692d60b45c7fce95","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:18:20.022463Z","signature_b64":"aHEU6EA8ubURxucF+87MQMvBuUh/LolG42s9GqiG7MnHnsI5bY6aYXtxwPkVTCiDgcJozITXMC+KRpVvtEYlBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"922cac563f6e1207aee4957a6776cd39c29f9a16d3d45787692d60b45c7fce95","last_reissued_at":"2026-05-18T00:18:20.021592Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:18:20.021592Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.07751","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":"2026-05-18T00:18:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r8DJ3vbP5zjZiQf1b5UMUPAWakNZwNfmr6BGttpLsOH+7wIV3Ht8ezFvtWRYnKZ9PV6czUPEqlZE4Fc6v1VcDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T19:56:33.329185Z"},"content_sha256":"dc5a43639d07a30a9feb799c07949a7710e76bc19594ba04379ede4c47249276","schema_version":"1.0","event_id":"sha256:dc5a43639d07a30a9feb799c07949a7710e76bc19594ba04379ede4c47249276"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:SIWKYVR7NYJAPLXESV5GO5WNHH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A REBO-potential-based model for graphene bending by $\\Gamma$-convergence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Antonino Favata, Cesare Davini, Roberto Paroni","submitted_at":"2017-06-23T15:39:06Z","abstract_excerpt":"An atomistic to continuum model for a graphene sheet undergoing bending is presented. Under the assumption that the atomic interactions are governed by a harmonic approximation of the 2nd-generation Brenner REBO (reactive empirical bond-order) potential, involving first, second and third nearest neighbors of any given atom, we determine the variational limit of the energy functionals. It turns out that the $\\Gamma$-limit depends on the linearized mean and Gaussian curvatures. If some specific contributions in the atomic interaction are neglected, the variational limit is non-local."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.07751","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":"2026-05-18T00:18:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g497Y5DjR81y3yvy6u3xgwxfdlDjf/ac0HQDyfc6tHOJ6p877EfZlpner63RNZstUEzgNs+2ZhOJoUkUgix5Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T19:56:33.329896Z"},"content_sha256":"2e21cfd01399a8711ae0b59765f161adbfabd2dda305522bfe613bc9af3e4f1c","schema_version":"1.0","event_id":"sha256:2e21cfd01399a8711ae0b59765f161adbfabd2dda305522bfe613bc9af3e4f1c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SIWKYVR7NYJAPLXESV5GO5WNHH/bundle.json","state_url":"https://pith.science/pith/SIWKYVR7NYJAPLXESV5GO5WNHH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SIWKYVR7NYJAPLXESV5GO5WNHH/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":"2026-06-06T19:56:33Z","links":{"resolver":"https://pith.science/pith/SIWKYVR7NYJAPLXESV5GO5WNHH","bundle":"https://pith.science/pith/SIWKYVR7NYJAPLXESV5GO5WNHH/bundle.json","state":"https://pith.science/pith/SIWKYVR7NYJAPLXESV5GO5WNHH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SIWKYVR7NYJAPLXESV5GO5WNHH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:SIWKYVR7NYJAPLXESV5GO5WNHH","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":"6494a6d5d20db829807f57e5fee8f4d0a09781d12f1e0d6a515960f8b48a8a50","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-06-23T15:39:06Z","title_canon_sha256":"70dd608e8982d4e16ea57f5dadadd84971d8f1b9c07df3552833cd6ce522ff36"},"schema_version":"1.0","source":{"id":"1706.07751","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.07751","created_at":"2026-05-18T00:18:20Z"},{"alias_kind":"arxiv_version","alias_value":"1706.07751v1","created_at":"2026-05-18T00:18:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.07751","created_at":"2026-05-18T00:18:20Z"},{"alias_kind":"pith_short_12","alias_value":"SIWKYVR7NYJA","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SIWKYVR7NYJAPLXE","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SIWKYVR7","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:2e21cfd01399a8711ae0b59765f161adbfabd2dda305522bfe613bc9af3e4f1c","target":"graph","created_at":"2026-05-18T00:18:20Z","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":"An atomistic to continuum model for a graphene sheet undergoing bending is presented. Under the assumption that the atomic interactions are governed by a harmonic approximation of the 2nd-generation Brenner REBO (reactive empirical bond-order) potential, involving first, second and third nearest neighbors of any given atom, we determine the variational limit of the energy functionals. It turns out that the $\\Gamma$-limit depends on the linearized mean and Gaussian curvatures. If some specific contributions in the atomic interaction are neglected, the variational limit is non-local.","authors_text":"Antonino Favata, Cesare Davini, Roberto Paroni","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-06-23T15:39:06Z","title":"A REBO-potential-based model for graphene bending by $\\Gamma$-convergence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.07751","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:dc5a43639d07a30a9feb799c07949a7710e76bc19594ba04379ede4c47249276","target":"record","created_at":"2026-05-18T00:18:20Z","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":"6494a6d5d20db829807f57e5fee8f4d0a09781d12f1e0d6a515960f8b48a8a50","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-06-23T15:39:06Z","title_canon_sha256":"70dd608e8982d4e16ea57f5dadadd84971d8f1b9c07df3552833cd6ce522ff36"},"schema_version":"1.0","source":{"id":"1706.07751","kind":"arxiv","version":1}},"canonical_sha256":"922cac563f6e1207aee4957a6776cd39c29f9a16d3d45787692d60b45c7fce95","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"922cac563f6e1207aee4957a6776cd39c29f9a16d3d45787692d60b45c7fce95","first_computed_at":"2026-05-18T00:18:20.021592Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:20.021592Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aHEU6EA8ubURxucF+87MQMvBuUh/LolG42s9GqiG7MnHnsI5bY6aYXtxwPkVTCiDgcJozITXMC+KRpVvtEYlBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:20.022463Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.07751","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dc5a43639d07a30a9feb799c07949a7710e76bc19594ba04379ede4c47249276","sha256:2e21cfd01399a8711ae0b59765f161adbfabd2dda305522bfe613bc9af3e4f1c"],"state_sha256":"71da471f54fc45b66161773c9685ec4d2a290a8fc8b5cc51090d7550793e370b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JSrl8lrWOuiNcdhCqEBxVtHEjDrerXUJyFWMkGWfZ+8t+GhT19uG4RDPk3ssEcXeLpy7m4VMjmffC9+w0YUyDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T19:56:33.333592Z","bundle_sha256":"b471be9b854c4aa911dc1a134cb559c4ebd63d89f82bbec847e90f4cec41e26c"}}