{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:PIDGMGQENJEGJLKSVUPGQ2NXJQ","short_pith_number":"pith:PIDGMGQE","canonical_record":{"source":{"id":"1501.02107","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2015-01-09T11:38:49Z","cross_cats_sorted":[],"title_canon_sha256":"49f8d7d9cfa9ecc880507e61ab5978e9f7ba8dde7052d0dfb8521307742e9c82","abstract_canon_sha256":"ae956e31c99b5627b163e47ded791abb0d6e4d4675d7bf7bf348fd32a6495d63"},"schema_version":"1.0"},"canonical_sha256":"7a06661a046a4864ad52ad1e6869b74c1761ee95e374dd519385742684dd854c","source":{"kind":"arxiv","id":"1501.02107","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.02107","created_at":"2026-05-18T00:38:40Z"},{"alias_kind":"arxiv_version","alias_value":"1501.02107v1","created_at":"2026-05-18T00:38:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.02107","created_at":"2026-05-18T00:38:40Z"},{"alias_kind":"pith_short_12","alias_value":"PIDGMGQENJEG","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PIDGMGQENJEGJLKS","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PIDGMGQE","created_at":"2026-05-18T12:29:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:PIDGMGQENJEGJLKSVUPGQ2NXJQ","target":"record","payload":{"canonical_record":{"source":{"id":"1501.02107","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2015-01-09T11:38:49Z","cross_cats_sorted":[],"title_canon_sha256":"49f8d7d9cfa9ecc880507e61ab5978e9f7ba8dde7052d0dfb8521307742e9c82","abstract_canon_sha256":"ae956e31c99b5627b163e47ded791abb0d6e4d4675d7bf7bf348fd32a6495d63"},"schema_version":"1.0"},"canonical_sha256":"7a06661a046a4864ad52ad1e6869b74c1761ee95e374dd519385742684dd854c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:38:40.207480Z","signature_b64":"1eqUvBO6JJPceR1sArH+N28U+Fiidp3KPVRR5NprWd/FDGlT15iK2Gq0IQViptiE0fuphMHXqiP3dCPVKgY6Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7a06661a046a4864ad52ad1e6869b74c1761ee95e374dd519385742684dd854c","last_reissued_at":"2026-05-18T00:38:40.206769Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:38:40.206769Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.02107","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":"2026-05-18T00:38:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"84/PI7MVOA1LZB2dCUjytSt4T+cqN/8ed6go+kzInc8KL/BhRzsqErd9n0J++bl/75cUrsBMu4a7lhnw/QfPBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T12:15:38.320432Z"},"content_sha256":"d1aca4404a7920cf97a669799d4c4cd53dc885b37108ce7fd9cde01dc5be2a2c","schema_version":"1.0","event_id":"sha256:d1aca4404a7920cf97a669799d4c4cd53dc885b37108ce7fd9cde01dc5be2a2c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:PIDGMGQENJEGJLKSVUPGQ2NXJQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Liquid crystalline growth within a phase-field crystal model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Axel Voigt, Jincheng Wang, Rainer Backofen, Sai Tang, Simon Praetorius, Yan-Mei Yu","submitted_at":"2015-01-09T11:38:49Z","abstract_excerpt":"By using a phase-field crystal (PFC) model, the liquid-crystal growth of the plastic triangular phase is simulated with emphasis on crystal shape and topological defect formation. The equilibrium shape of a plastic triangular crystal (PTC) grown from a isotropic phase is compared with that grown from a columnar/smectic A (CSA) phase. While the shape of a PTC nucleus in the isotropic phase is almost identical to that of a classical PFC model, the shape of a PTC nucleus in CSA is affected by the orientation of stripes in the CSA phase, and irregular hexagonal, elliptical, octagonal, and rectangu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.02107","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":"2026-05-18T00:38:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TTCNmL0bFXal3XZTGWFkyGSHd+P7r6UD9kEY8GF+v8Hvzcb+sSGFAXRc9a7VuyTENEjTQ/AH//xek/AMXn4AAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T12:15:38.320786Z"},"content_sha256":"732b474f6f0343154871345c46081aeb1418bea0efaf08b007e2a8d4db308f4d","schema_version":"1.0","event_id":"sha256:732b474f6f0343154871345c46081aeb1418bea0efaf08b007e2a8d4db308f4d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PIDGMGQENJEGJLKSVUPGQ2NXJQ/bundle.json","state_url":"https://pith.science/pith/PIDGMGQENJEGJLKSVUPGQ2NXJQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PIDGMGQENJEGJLKSVUPGQ2NXJQ/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":"2026-06-25T12:15:38Z","links":{"resolver":"https://pith.science/pith/PIDGMGQENJEGJLKSVUPGQ2NXJQ","bundle":"https://pith.science/pith/PIDGMGQENJEGJLKSVUPGQ2NXJQ/bundle.json","state":"https://pith.science/pith/PIDGMGQENJEGJLKSVUPGQ2NXJQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PIDGMGQENJEGJLKSVUPGQ2NXJQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:PIDGMGQENJEGJLKSVUPGQ2NXJQ","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":"ae956e31c99b5627b163e47ded791abb0d6e4d4675d7bf7bf348fd32a6495d63","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2015-01-09T11:38:49Z","title_canon_sha256":"49f8d7d9cfa9ecc880507e61ab5978e9f7ba8dde7052d0dfb8521307742e9c82"},"schema_version":"1.0","source":{"id":"1501.02107","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.02107","created_at":"2026-05-18T00:38:40Z"},{"alias_kind":"arxiv_version","alias_value":"1501.02107v1","created_at":"2026-05-18T00:38:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.02107","created_at":"2026-05-18T00:38:40Z"},{"alias_kind":"pith_short_12","alias_value":"PIDGMGQENJEG","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PIDGMGQENJEGJLKS","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PIDGMGQE","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:732b474f6f0343154871345c46081aeb1418bea0efaf08b007e2a8d4db308f4d","target":"graph","created_at":"2026-05-18T00:38:40Z","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":"By using a phase-field crystal (PFC) model, the liquid-crystal growth of the plastic triangular phase is simulated with emphasis on crystal shape and topological defect formation. The equilibrium shape of a plastic triangular crystal (PTC) grown from a isotropic phase is compared with that grown from a columnar/smectic A (CSA) phase. While the shape of a PTC nucleus in the isotropic phase is almost identical to that of a classical PFC model, the shape of a PTC nucleus in CSA is affected by the orientation of stripes in the CSA phase, and irregular hexagonal, elliptical, octagonal, and rectangu","authors_text":"Axel Voigt, Jincheng Wang, Rainer Backofen, Sai Tang, Simon Praetorius, Yan-Mei Yu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2015-01-09T11:38:49Z","title":"Liquid crystalline growth within a phase-field crystal model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.02107","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:d1aca4404a7920cf97a669799d4c4cd53dc885b37108ce7fd9cde01dc5be2a2c","target":"record","created_at":"2026-05-18T00:38:40Z","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":"ae956e31c99b5627b163e47ded791abb0d6e4d4675d7bf7bf348fd32a6495d63","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2015-01-09T11:38:49Z","title_canon_sha256":"49f8d7d9cfa9ecc880507e61ab5978e9f7ba8dde7052d0dfb8521307742e9c82"},"schema_version":"1.0","source":{"id":"1501.02107","kind":"arxiv","version":1}},"canonical_sha256":"7a06661a046a4864ad52ad1e6869b74c1761ee95e374dd519385742684dd854c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7a06661a046a4864ad52ad1e6869b74c1761ee95e374dd519385742684dd854c","first_computed_at":"2026-05-18T00:38:40.206769Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:40.206769Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1eqUvBO6JJPceR1sArH+N28U+Fiidp3KPVRR5NprWd/FDGlT15iK2Gq0IQViptiE0fuphMHXqiP3dCPVKgY6Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:40.207480Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.02107","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1aca4404a7920cf97a669799d4c4cd53dc885b37108ce7fd9cde01dc5be2a2c","sha256:732b474f6f0343154871345c46081aeb1418bea0efaf08b007e2a8d4db308f4d"],"state_sha256":"da41bf9102642a2253df1f92ecc4d1460c33e291f2e74257960998b2715fe063"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TsPQxEEp8wET6wr/djjvUR56C+VJ77K6RWqPxIHafoksqZOhWbe3bKQDecG43yB18bRBF/OcK3zTpvJbZ433CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T12:15:38.322730Z","bundle_sha256":"bb13610fc81011efab393dc65cc01961fd49c1132db4762cf09b28a7dfcfe2c6"}}