{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:YTAJLF66X7IVXTB5HXKBSPOYO7","short_pith_number":"pith:YTAJLF66","canonical_record":{"source":{"id":"1206.5154","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2012-06-22T14:18:33Z","cross_cats_sorted":[],"title_canon_sha256":"b538523b581334e411d7136b5969233dcbdb73e8efdaa9c4c784641c712dabd7","abstract_canon_sha256":"8ca0aae7884e40299c9b56e943c671180d45f14cca048644bf78f7eee0105ad1"},"schema_version":"1.0"},"canonical_sha256":"c4c09597debfd15bcc3d3dd4193dd877e0d995eb57905988d1179afae37ebc6b","source":{"kind":"arxiv","id":"1206.5154","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.5154","created_at":"2026-05-18T03:22:39Z"},{"alias_kind":"arxiv_version","alias_value":"1206.5154v1","created_at":"2026-05-18T03:22:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.5154","created_at":"2026-05-18T03:22:39Z"},{"alias_kind":"pith_short_12","alias_value":"YTAJLF66X7IV","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"YTAJLF66X7IVXTB5","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"YTAJLF66","created_at":"2026-05-18T12:27:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:YTAJLF66X7IVXTB5HXKBSPOYO7","target":"record","payload":{"canonical_record":{"source":{"id":"1206.5154","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2012-06-22T14:18:33Z","cross_cats_sorted":[],"title_canon_sha256":"b538523b581334e411d7136b5969233dcbdb73e8efdaa9c4c784641c712dabd7","abstract_canon_sha256":"8ca0aae7884e40299c9b56e943c671180d45f14cca048644bf78f7eee0105ad1"},"schema_version":"1.0"},"canonical_sha256":"c4c09597debfd15bcc3d3dd4193dd877e0d995eb57905988d1179afae37ebc6b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:22:39.884882Z","signature_b64":"l2rccpw3AQ/CJAS/H1YblEpLhKpW83yccO9HVLYzxN3lwXrxigUnj+COt0xyztDVZscAg9vcYGRyzy67J1GwBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c4c09597debfd15bcc3d3dd4193dd877e0d995eb57905988d1179afae37ebc6b","last_reissued_at":"2026-05-18T03:22:39.884036Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:22:39.884036Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1206.5154","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":"2026-05-18T03:22:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C4d88HWZ6YBYYWJvrhdDYuGIoY18hrgic8p6aWAPuaVPPZWrH5+416GNHdmvWw2NMzX5EUabupysYGmVD1DXCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T06:30:01.455910Z"},"content_sha256":"1d2008d957a6c8ae41996987400bc58c0b37ae98b1e3874f1b590b35f6ae2323","schema_version":"1.0","event_id":"sha256:1d2008d957a6c8ae41996987400bc58c0b37ae98b1e3874f1b590b35f6ae2323"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:YTAJLF66X7IVXTB5HXKBSPOYO7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Description of hard sphere crystals and crystal-fluid interfaces: a critical comparison between density functional approaches and a phase field crystal model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"B. Nestler, M. Berghoff, M. Oettel, S. Dorosz, T. Schilling","submitted_at":"2012-06-22T14:18:33Z","abstract_excerpt":"In materials science the phase field crystal approach has become popular to model crystallization processes. Phase field crystal models are in essence Landau-Ginzburg-type models, which should be derivable from the underlying microscopic description of the system in question. We present a study on classical density functional theory in three stages of approximation leading to a specific phase field crystal model, and we discuss the limits of applicability of the models that result from these approximations. As a test system we have chosen the three--dimensional suspension of monodisperse hard "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.5154","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":"2026-05-18T03:22:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sgJt0F6QTUCl7YQiGXTmLo6YVKamF3hj5MtyKAE6OXG6GQI2cdofTBzoBeWdhLyvKQBK/9SOgQ6sK9py/2aeAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T06:30:01.456651Z"},"content_sha256":"93f772a6cd15c36a9e5229462d652d77ea91b7ae3f22d35145176ecbb297703b","schema_version":"1.0","event_id":"sha256:93f772a6cd15c36a9e5229462d652d77ea91b7ae3f22d35145176ecbb297703b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YTAJLF66X7IVXTB5HXKBSPOYO7/bundle.json","state_url":"https://pith.science/pith/YTAJLF66X7IVXTB5HXKBSPOYO7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YTAJLF66X7IVXTB5HXKBSPOYO7/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":"2026-05-30T06:30:01Z","links":{"resolver":"https://pith.science/pith/YTAJLF66X7IVXTB5HXKBSPOYO7","bundle":"https://pith.science/pith/YTAJLF66X7IVXTB5HXKBSPOYO7/bundle.json","state":"https://pith.science/pith/YTAJLF66X7IVXTB5HXKBSPOYO7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YTAJLF66X7IVXTB5HXKBSPOYO7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:YTAJLF66X7IVXTB5HXKBSPOYO7","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":"8ca0aae7884e40299c9b56e943c671180d45f14cca048644bf78f7eee0105ad1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2012-06-22T14:18:33Z","title_canon_sha256":"b538523b581334e411d7136b5969233dcbdb73e8efdaa9c4c784641c712dabd7"},"schema_version":"1.0","source":{"id":"1206.5154","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.5154","created_at":"2026-05-18T03:22:39Z"},{"alias_kind":"arxiv_version","alias_value":"1206.5154v1","created_at":"2026-05-18T03:22:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.5154","created_at":"2026-05-18T03:22:39Z"},{"alias_kind":"pith_short_12","alias_value":"YTAJLF66X7IV","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"YTAJLF66X7IVXTB5","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"YTAJLF66","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:93f772a6cd15c36a9e5229462d652d77ea91b7ae3f22d35145176ecbb297703b","target":"graph","created_at":"2026-05-18T03:22:39Z","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 materials science the phase field crystal approach has become popular to model crystallization processes. Phase field crystal models are in essence Landau-Ginzburg-type models, which should be derivable from the underlying microscopic description of the system in question. We present a study on classical density functional theory in three stages of approximation leading to a specific phase field crystal model, and we discuss the limits of applicability of the models that result from these approximations. As a test system we have chosen the three--dimensional suspension of monodisperse hard ","authors_text":"B. Nestler, M. Berghoff, M. Oettel, S. Dorosz, T. Schilling","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2012-06-22T14:18:33Z","title":"Description of hard sphere crystals and crystal-fluid interfaces: a critical comparison between density functional approaches and a phase field crystal model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.5154","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":"sha256:1d2008d957a6c8ae41996987400bc58c0b37ae98b1e3874f1b590b35f6ae2323","target":"record","created_at":"2026-05-18T03:22:39Z","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":"8ca0aae7884e40299c9b56e943c671180d45f14cca048644bf78f7eee0105ad1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2012-06-22T14:18:33Z","title_canon_sha256":"b538523b581334e411d7136b5969233dcbdb73e8efdaa9c4c784641c712dabd7"},"schema_version":"1.0","source":{"id":"1206.5154","kind":"arxiv","version":1}},"canonical_sha256":"c4c09597debfd15bcc3d3dd4193dd877e0d995eb57905988d1179afae37ebc6b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c4c09597debfd15bcc3d3dd4193dd877e0d995eb57905988d1179afae37ebc6b","first_computed_at":"2026-05-18T03:22:39.884036Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:22:39.884036Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l2rccpw3AQ/CJAS/H1YblEpLhKpW83yccO9HVLYzxN3lwXrxigUnj+COt0xyztDVZscAg9vcYGRyzy67J1GwBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:22:39.884882Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.5154","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1d2008d957a6c8ae41996987400bc58c0b37ae98b1e3874f1b590b35f6ae2323","sha256:93f772a6cd15c36a9e5229462d652d77ea91b7ae3f22d35145176ecbb297703b"],"state_sha256":"c59022f4a86988898fe6afb92a4c4a53070f1e54e5754b952d7c57912d2d1b44"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lMgf19aw190uLNAJ8g77odFYItVSJKeK08HYBODiE3SBrrmrTAQP4fBQE5uFmbUwwMAIKqGcRYUlcVteVbX9Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T06:30:01.460976Z","bundle_sha256":"22f1de6d472160159feb28a4169de25db4e0b14a1a7e36ed8bf2bd1077d975b8"}}