{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:W3KAEWAER75QOBKKZTYLEHV5MM","short_pith_number":"pith:W3KAEWAE","canonical_record":{"source":{"id":"1604.04694","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2016-04-16T05:17:19Z","cross_cats_sorted":[],"title_canon_sha256":"2d8e073408ace004859e36dc68822166ddadc37d1b1290e3a8949e46acfd1896","abstract_canon_sha256":"aa154930042adac83e9e4dea9d34f6aa4597e18bfe09009ce4b3e2d19f7290ed"},"schema_version":"1.0"},"canonical_sha256":"b6d40258048ffb07054accf0b21ebd631debcd83378bb5519e37b59fda378c05","source":{"kind":"arxiv","id":"1604.04694","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.04694","created_at":"2026-05-18T01:16:58Z"},{"alias_kind":"arxiv_version","alias_value":"1604.04694v1","created_at":"2026-05-18T01:16:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.04694","created_at":"2026-05-18T01:16:58Z"},{"alias_kind":"pith_short_12","alias_value":"W3KAEWAER75Q","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"W3KAEWAER75QOBKK","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"W3KAEWAE","created_at":"2026-05-18T12:30:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:W3KAEWAER75QOBKKZTYLEHV5MM","target":"record","payload":{"canonical_record":{"source":{"id":"1604.04694","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2016-04-16T05:17:19Z","cross_cats_sorted":[],"title_canon_sha256":"2d8e073408ace004859e36dc68822166ddadc37d1b1290e3a8949e46acfd1896","abstract_canon_sha256":"aa154930042adac83e9e4dea9d34f6aa4597e18bfe09009ce4b3e2d19f7290ed"},"schema_version":"1.0"},"canonical_sha256":"b6d40258048ffb07054accf0b21ebd631debcd83378bb5519e37b59fda378c05","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:58.932728Z","signature_b64":"U9dNhNht8eWFLlMPV509RyUm2mxXaSCXiM6zKdpKs/ZKIFy78JSmYPHXKYZOWZ4EeA4zXWuUqffDJpHIFA4vBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b6d40258048ffb07054accf0b21ebd631debcd83378bb5519e37b59fda378c05","last_reissued_at":"2026-05-18T01:16:58.932052Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:58.932052Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.04694","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":"2026-05-18T01:16:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ub6dlMCRA/3JJOnVPB2WmOiQUVXIU2l6YIcDJA4lg71Fa1owZTv88C5Bd2nklwYo8D+aV80gvbB7RzaeqnthAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T19:55:33.903407Z"},"content_sha256":"4b4a27bde255aad77b5b2a6f38abcdfee7b83882d80fc769689d0511f5104a8b","schema_version":"1.0","event_id":"sha256:4b4a27bde255aad77b5b2a6f38abcdfee7b83882d80fc769689d0511f5104a8b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:W3KAEWAER75QOBKKZTYLEHV5MM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"How graphene flexes and stretches under concomitant bending couples and tractions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Andrea Micheletti, Antonino Favata, Nicola M. Pugno, Paolo Podio-Guidugli","submitted_at":"2016-04-16T05:17:19Z","abstract_excerpt":"We propose a geometrically and physically nonlinear discrete mechanical model of graphene that assigns an energetic cost to changes in bond lengths, bond angles, and dihedral angles. We formulate a variational equilibrium problem for a rectangular graphene sheet with assigned balanced forces and couples uniformly distributed over opposite side pairs. We show that the resulting combination of stretching and bending makes achiral graphene easier to bend and harder (easier) to stretch for small (large) traction loads. Our general developments hold for a wide class of REBO potentials; we illustrat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.04694","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":"2026-05-18T01:16:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/DQ6BEWGRLIcm5bhhrzmaNF+zO7PpjkfQ3KZliY0SEn+0MlypFrygFJjOOAoIsTmhxlGStmZW/fK4yejtzXCBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T19:55:33.904054Z"},"content_sha256":"8a13aebf8e76f526421bcb6d631b5fdabe79e8278a0432db6c19b84f5c23a298","schema_version":"1.0","event_id":"sha256:8a13aebf8e76f526421bcb6d631b5fdabe79e8278a0432db6c19b84f5c23a298"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W3KAEWAER75QOBKKZTYLEHV5MM/bundle.json","state_url":"https://pith.science/pith/W3KAEWAER75QOBKKZTYLEHV5MM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W3KAEWAER75QOBKKZTYLEHV5MM/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":"2026-06-06T19:55:33Z","links":{"resolver":"https://pith.science/pith/W3KAEWAER75QOBKKZTYLEHV5MM","bundle":"https://pith.science/pith/W3KAEWAER75QOBKKZTYLEHV5MM/bundle.json","state":"https://pith.science/pith/W3KAEWAER75QOBKKZTYLEHV5MM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W3KAEWAER75QOBKKZTYLEHV5MM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:W3KAEWAER75QOBKKZTYLEHV5MM","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":"aa154930042adac83e9e4dea9d34f6aa4597e18bfe09009ce4b3e2d19f7290ed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2016-04-16T05:17:19Z","title_canon_sha256":"2d8e073408ace004859e36dc68822166ddadc37d1b1290e3a8949e46acfd1896"},"schema_version":"1.0","source":{"id":"1604.04694","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.04694","created_at":"2026-05-18T01:16:58Z"},{"alias_kind":"arxiv_version","alias_value":"1604.04694v1","created_at":"2026-05-18T01:16:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.04694","created_at":"2026-05-18T01:16:58Z"},{"alias_kind":"pith_short_12","alias_value":"W3KAEWAER75Q","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"W3KAEWAER75QOBKK","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"W3KAEWAE","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:8a13aebf8e76f526421bcb6d631b5fdabe79e8278a0432db6c19b84f5c23a298","target":"graph","created_at":"2026-05-18T01:16:58Z","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 propose a geometrically and physically nonlinear discrete mechanical model of graphene that assigns an energetic cost to changes in bond lengths, bond angles, and dihedral angles. We formulate a variational equilibrium problem for a rectangular graphene sheet with assigned balanced forces and couples uniformly distributed over opposite side pairs. We show that the resulting combination of stretching and bending makes achiral graphene easier to bend and harder (easier) to stretch for small (large) traction loads. Our general developments hold for a wide class of REBO potentials; we illustrat","authors_text":"Andrea Micheletti, Antonino Favata, Nicola M. Pugno, Paolo Podio-Guidugli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2016-04-16T05:17:19Z","title":"How graphene flexes and stretches under concomitant bending couples and tractions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.04694","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":"sha256:4b4a27bde255aad77b5b2a6f38abcdfee7b83882d80fc769689d0511f5104a8b","target":"record","created_at":"2026-05-18T01:16:58Z","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":"aa154930042adac83e9e4dea9d34f6aa4597e18bfe09009ce4b3e2d19f7290ed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2016-04-16T05:17:19Z","title_canon_sha256":"2d8e073408ace004859e36dc68822166ddadc37d1b1290e3a8949e46acfd1896"},"schema_version":"1.0","source":{"id":"1604.04694","kind":"arxiv","version":1}},"canonical_sha256":"b6d40258048ffb07054accf0b21ebd631debcd83378bb5519e37b59fda378c05","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b6d40258048ffb07054accf0b21ebd631debcd83378bb5519e37b59fda378c05","first_computed_at":"2026-05-18T01:16:58.932052Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:58.932052Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"U9dNhNht8eWFLlMPV509RyUm2mxXaSCXiM6zKdpKs/ZKIFy78JSmYPHXKYZOWZ4EeA4zXWuUqffDJpHIFA4vBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:58.932728Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.04694","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4b4a27bde255aad77b5b2a6f38abcdfee7b83882d80fc769689d0511f5104a8b","sha256:8a13aebf8e76f526421bcb6d631b5fdabe79e8278a0432db6c19b84f5c23a298"],"state_sha256":"d76c27a3ef4a0b3af76fa50ca9ba35126d8e3a5b9353b0c98ede693e6afdb666"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rf0TwLs50lkdRPB6+T+oXJwzDZ43MNUFB4+KStqqIa92aPIR8qIGCIUmMZbyII1DQGG7nIZ48BqSmWydmcR1CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T19:55:33.907304Z","bundle_sha256":"bcbf23d1aa3b04cefc6b184aa04c1f2854a2268220cd7c3ba08ba70e9f00b337"}}