{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:TAGQTDNFPGB6GPA2PSVIFDVAFF","short_pith_number":"pith:TAGQTDNF","canonical_record":{"source":{"id":"1306.6357","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2013-06-26T20:41:04Z","cross_cats_sorted":[],"title_canon_sha256":"bcc4506514aa9bdfadfd73dc6d60ffe1fcbd90e7e2f833e9c1afa8b385d9d5e6","abstract_canon_sha256":"d11104c48dc5d6c2bfbd36819b3c6aaa71947708ee4ec9dabba79c0b00259a0f"},"schema_version":"1.0"},"canonical_sha256":"980d098da57983e33c1a7caa828ea02978bed864991d75337f14d38a87f426cb","source":{"kind":"arxiv","id":"1306.6357","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.6357","created_at":"2026-05-18T01:49:07Z"},{"alias_kind":"arxiv_version","alias_value":"1306.6357v1","created_at":"2026-05-18T01:49:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.6357","created_at":"2026-05-18T01:49:07Z"},{"alias_kind":"pith_short_12","alias_value":"TAGQTDNFPGB6","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"TAGQTDNFPGB6GPA2","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"TAGQTDNF","created_at":"2026-05-18T12:27:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:TAGQTDNFPGB6GPA2PSVIFDVAFF","target":"record","payload":{"canonical_record":{"source":{"id":"1306.6357","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2013-06-26T20:41:04Z","cross_cats_sorted":[],"title_canon_sha256":"bcc4506514aa9bdfadfd73dc6d60ffe1fcbd90e7e2f833e9c1afa8b385d9d5e6","abstract_canon_sha256":"d11104c48dc5d6c2bfbd36819b3c6aaa71947708ee4ec9dabba79c0b00259a0f"},"schema_version":"1.0"},"canonical_sha256":"980d098da57983e33c1a7caa828ea02978bed864991d75337f14d38a87f426cb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:49:07.382641Z","signature_b64":"1v5m0+AfZXxmSfA0ZjLwZ/iUucERF0rjyvSezdLd58Lw6dw0PdZf8RIOnBp5iLBum0Pf1eiLBW5BLuAX30GEBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"980d098da57983e33c1a7caa828ea02978bed864991d75337f14d38a87f426cb","last_reissued_at":"2026-05-18T01:49:07.382172Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:49:07.382172Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.6357","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":"2026-05-18T01:49:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ltji0fKE0JyG9boQVRkyl5TeBbdUoQgzBTw9Yua6TMDPKGVEOJzvVlpLe53b/vtKzQZhKlycAKU4qmxgskstDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T05:07:03.592078Z"},"content_sha256":"bb6257ce47321d9b718b5bc088b4fdb6098ff599575dc21383bd74b4a77d5574","schema_version":"1.0","event_id":"sha256:bb6257ce47321d9b718b5bc088b4fdb6098ff599575dc21383bd74b4a77d5574"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:TAGQTDNFPGB6GPA2PSVIFDVAFF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exploring the complex world of two-dimensional ordering with three modes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Ken Elder, Simiso Mkhonta, Zhi-Feng Huang","submitted_at":"2013-06-26T20:41:04Z","abstract_excerpt":"The world of two-dimensional crystals is of great significance for the design and study of structural and functional materials with novel properties. The world of two-dimensional crystals is of great significance for the design and study of structural and functional materials with novel properties. Here we examine the mechanisms governing the formation and dynamics of these crystalline or polycrystalline states and their elastic and plastic properties by constructing a generic multi-mode phase field crystal model. Our results demonstrate that a system with three competing length scales can ord"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.6357","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":"2026-05-18T01:49:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xzj6mUfbwkEzPo6FPohKvyOcArLpsmQWShQAI+kEMSkYHVVtq/u1ZIkQt3Hf8U6tfAdD6ObNWHrG2QokQtJWAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T05:07:03.592443Z"},"content_sha256":"28be81a26fe96fe8697c03efef2ac7b661f4d5df9cf9103c7c8a674d7b6208ac","schema_version":"1.0","event_id":"sha256:28be81a26fe96fe8697c03efef2ac7b661f4d5df9cf9103c7c8a674d7b6208ac"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TAGQTDNFPGB6GPA2PSVIFDVAFF/bundle.json","state_url":"https://pith.science/pith/TAGQTDNFPGB6GPA2PSVIFDVAFF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TAGQTDNFPGB6GPA2PSVIFDVAFF/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":"2026-06-04T05:07:03Z","links":{"resolver":"https://pith.science/pith/TAGQTDNFPGB6GPA2PSVIFDVAFF","bundle":"https://pith.science/pith/TAGQTDNFPGB6GPA2PSVIFDVAFF/bundle.json","state":"https://pith.science/pith/TAGQTDNFPGB6GPA2PSVIFDVAFF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TAGQTDNFPGB6GPA2PSVIFDVAFF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:TAGQTDNFPGB6GPA2PSVIFDVAFF","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":"d11104c48dc5d6c2bfbd36819b3c6aaa71947708ee4ec9dabba79c0b00259a0f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2013-06-26T20:41:04Z","title_canon_sha256":"bcc4506514aa9bdfadfd73dc6d60ffe1fcbd90e7e2f833e9c1afa8b385d9d5e6"},"schema_version":"1.0","source":{"id":"1306.6357","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.6357","created_at":"2026-05-18T01:49:07Z"},{"alias_kind":"arxiv_version","alias_value":"1306.6357v1","created_at":"2026-05-18T01:49:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.6357","created_at":"2026-05-18T01:49:07Z"},{"alias_kind":"pith_short_12","alias_value":"TAGQTDNFPGB6","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"TAGQTDNFPGB6GPA2","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"TAGQTDNF","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:28be81a26fe96fe8697c03efef2ac7b661f4d5df9cf9103c7c8a674d7b6208ac","target":"graph","created_at":"2026-05-18T01:49:07Z","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":"The world of two-dimensional crystals is of great significance for the design and study of structural and functional materials with novel properties. The world of two-dimensional crystals is of great significance for the design and study of structural and functional materials with novel properties. Here we examine the mechanisms governing the formation and dynamics of these crystalline or polycrystalline states and their elastic and plastic properties by constructing a generic multi-mode phase field crystal model. Our results demonstrate that a system with three competing length scales can ord","authors_text":"Ken Elder, Simiso Mkhonta, Zhi-Feng Huang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2013-06-26T20:41:04Z","title":"Exploring the complex world of two-dimensional ordering with three modes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.6357","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:bb6257ce47321d9b718b5bc088b4fdb6098ff599575dc21383bd74b4a77d5574","target":"record","created_at":"2026-05-18T01:49:07Z","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":"d11104c48dc5d6c2bfbd36819b3c6aaa71947708ee4ec9dabba79c0b00259a0f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2013-06-26T20:41:04Z","title_canon_sha256":"bcc4506514aa9bdfadfd73dc6d60ffe1fcbd90e7e2f833e9c1afa8b385d9d5e6"},"schema_version":"1.0","source":{"id":"1306.6357","kind":"arxiv","version":1}},"canonical_sha256":"980d098da57983e33c1a7caa828ea02978bed864991d75337f14d38a87f426cb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"980d098da57983e33c1a7caa828ea02978bed864991d75337f14d38a87f426cb","first_computed_at":"2026-05-18T01:49:07.382172Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:49:07.382172Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1v5m0+AfZXxmSfA0ZjLwZ/iUucERF0rjyvSezdLd58Lw6dw0PdZf8RIOnBp5iLBum0Pf1eiLBW5BLuAX30GEBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:49:07.382641Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.6357","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bb6257ce47321d9b718b5bc088b4fdb6098ff599575dc21383bd74b4a77d5574","sha256:28be81a26fe96fe8697c03efef2ac7b661f4d5df9cf9103c7c8a674d7b6208ac"],"state_sha256":"adb77e57a8bebb2c56d6fcc66fa3f367aceffcd48fe3b2b618c01f4ca1afee54"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1Sw8CJ5cuMIAjF9LwZagdbKYiNrsk+uja2kz5PJ0c2vDJdus97kvjAmVARa4d61BcDbUpkKg5L+I/jKjqLShBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T05:07:03.594724Z","bundle_sha256":"3e53cfeffaa65376174693574109ce9b423da708b8925c09a90a045952c9d804"}}