{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:CYET2BFRIIUDHQIP44NBAFE7DN","short_pith_number":"pith:CYET2BFR","canonical_record":{"source":{"id":"1310.3704","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2013-10-14T14:49:05Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"d7983e28ef61600d2cf61c06de3d537abb72e097ca7ffa4977b111a276f96c21","abstract_canon_sha256":"dbaf969953a5df97b485083a27ec22fc8623c3d042e8ba93519c116e1708d43e"},"schema_version":"1.0"},"canonical_sha256":"16093d04b1422833c10fe71a10149f1b678582899b1089a8f2a5ee0f2f5d1292","source":{"kind":"arxiv","id":"1310.3704","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.3704","created_at":"2026-05-18T03:10:35Z"},{"alias_kind":"arxiv_version","alias_value":"1310.3704v1","created_at":"2026-05-18T03:10:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.3704","created_at":"2026-05-18T03:10:35Z"},{"alias_kind":"pith_short_12","alias_value":"CYET2BFRIIUD","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CYET2BFRIIUDHQIP","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CYET2BFR","created_at":"2026-05-18T12:27:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:CYET2BFRIIUDHQIP44NBAFE7DN","target":"record","payload":{"canonical_record":{"source":{"id":"1310.3704","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2013-10-14T14:49:05Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"d7983e28ef61600d2cf61c06de3d537abb72e097ca7ffa4977b111a276f96c21","abstract_canon_sha256":"dbaf969953a5df97b485083a27ec22fc8623c3d042e8ba93519c116e1708d43e"},"schema_version":"1.0"},"canonical_sha256":"16093d04b1422833c10fe71a10149f1b678582899b1089a8f2a5ee0f2f5d1292","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:10:35.073355Z","signature_b64":"kFLiyQko7N/ftacxmei/sHEJSj3Tc2APV0GqscPHpZHw4GX592HvWTvNlPwgfuBHqXlGnoc5esNgx14Ofo31DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16093d04b1422833c10fe71a10149f1b678582899b1089a8f2a5ee0f2f5d1292","last_reissued_at":"2026-05-18T03:10:35.072756Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:10:35.072756Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.3704","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":"2026-05-18T03:10:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RHRIJMD/GNW6VZosbaVo+qFkC+yW4wVoDxJ1dPCaP5wkSVGgBozRonIzmX286zRBglLJAXyyRZ15ESh7F8iVBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T01:05:43.748089Z"},"content_sha256":"1a18ced0938a480c45673ead0f0ae690e0cc07eb7100af194c77d13a65e6a243","schema_version":"1.0","event_id":"sha256:1a18ced0938a480c45673ead0f0ae690e0cc07eb7100af194c77d13a65e6a243"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:CYET2BFRIIUDHQIP44NBAFE7DN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonlinear hydrodynamic theory of crystallization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Gy\\\"orgy Tegze, Gyula I. T\\'oth, L\\'aszl\\'o Gr\\'an\\'asy","submitted_at":"2013-10-14T14:49:05Z","abstract_excerpt":"We present an isothermal fluctuating nonlinear hydrodynamic theory of crystallization in molecular liquids. A dynamic coarse-graining technique is used to derive the velocity field, a phenomenology, which allows a direct coupling between the free energy functional of the classical Density Functional Theory and the Navier-Stokes equation. Contrary to the Ginzburg-Landau type amplitude theories, the dynamic response to elastic deformations is described by parameter-free kinetic equations. Employing our approach to the free energy functional of the Phase-Field Crystal model, we recover the classi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.3704","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":"2026-05-18T03:10:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b9wQY+fv2UmqNssu9awyJh6BzSzRuMZuGkR35t4fY2ZCudXICp/bvyEXLduA3cqreq7xRBGn9HsysQxvLDxZDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T01:05:43.748767Z"},"content_sha256":"84783e91ffa4782482a668de97c9d346a3d5275c6e9ef28661aeab7545b1fc36","schema_version":"1.0","event_id":"sha256:84783e91ffa4782482a668de97c9d346a3d5275c6e9ef28661aeab7545b1fc36"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CYET2BFRIIUDHQIP44NBAFE7DN/bundle.json","state_url":"https://pith.science/pith/CYET2BFRIIUDHQIP44NBAFE7DN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CYET2BFRIIUDHQIP44NBAFE7DN/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":"2026-05-30T01:05:43Z","links":{"resolver":"https://pith.science/pith/CYET2BFRIIUDHQIP44NBAFE7DN","bundle":"https://pith.science/pith/CYET2BFRIIUDHQIP44NBAFE7DN/bundle.json","state":"https://pith.science/pith/CYET2BFRIIUDHQIP44NBAFE7DN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CYET2BFRIIUDHQIP44NBAFE7DN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:CYET2BFRIIUDHQIP44NBAFE7DN","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":"dbaf969953a5df97b485083a27ec22fc8623c3d042e8ba93519c116e1708d43e","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2013-10-14T14:49:05Z","title_canon_sha256":"d7983e28ef61600d2cf61c06de3d537abb72e097ca7ffa4977b111a276f96c21"},"schema_version":"1.0","source":{"id":"1310.3704","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.3704","created_at":"2026-05-18T03:10:35Z"},{"alias_kind":"arxiv_version","alias_value":"1310.3704v1","created_at":"2026-05-18T03:10:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.3704","created_at":"2026-05-18T03:10:35Z"},{"alias_kind":"pith_short_12","alias_value":"CYET2BFRIIUD","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CYET2BFRIIUDHQIP","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CYET2BFR","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:84783e91ffa4782482a668de97c9d346a3d5275c6e9ef28661aeab7545b1fc36","target":"graph","created_at":"2026-05-18T03:10:35Z","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 present an isothermal fluctuating nonlinear hydrodynamic theory of crystallization in molecular liquids. A dynamic coarse-graining technique is used to derive the velocity field, a phenomenology, which allows a direct coupling between the free energy functional of the classical Density Functional Theory and the Navier-Stokes equation. Contrary to the Ginzburg-Landau type amplitude theories, the dynamic response to elastic deformations is described by parameter-free kinetic equations. Employing our approach to the free energy functional of the Phase-Field Crystal model, we recover the classi","authors_text":"Gy\\\"orgy Tegze, Gyula I. T\\'oth, L\\'aszl\\'o Gr\\'an\\'asy","cross_cats":["cond-mat.soft"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2013-10-14T14:49:05Z","title":"Nonlinear hydrodynamic theory of crystallization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.3704","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":"sha256:1a18ced0938a480c45673ead0f0ae690e0cc07eb7100af194c77d13a65e6a243","target":"record","created_at":"2026-05-18T03:10:35Z","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":"dbaf969953a5df97b485083a27ec22fc8623c3d042e8ba93519c116e1708d43e","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2013-10-14T14:49:05Z","title_canon_sha256":"d7983e28ef61600d2cf61c06de3d537abb72e097ca7ffa4977b111a276f96c21"},"schema_version":"1.0","source":{"id":"1310.3704","kind":"arxiv","version":1}},"canonical_sha256":"16093d04b1422833c10fe71a10149f1b678582899b1089a8f2a5ee0f2f5d1292","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16093d04b1422833c10fe71a10149f1b678582899b1089a8f2a5ee0f2f5d1292","first_computed_at":"2026-05-18T03:10:35.072756Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:10:35.072756Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kFLiyQko7N/ftacxmei/sHEJSj3Tc2APV0GqscPHpZHw4GX592HvWTvNlPwgfuBHqXlGnoc5esNgx14Ofo31DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:10:35.073355Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.3704","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1a18ced0938a480c45673ead0f0ae690e0cc07eb7100af194c77d13a65e6a243","sha256:84783e91ffa4782482a668de97c9d346a3d5275c6e9ef28661aeab7545b1fc36"],"state_sha256":"36ffde9b54cefb026a97208febe4da51fa7e27c1d34ac3bd6cae8efed586fb89"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kX5tWVTa/vZWo4CRiI2vzbbkI9pbkvnOKDg1/YWY0EPAbE7xk2zLLuH0dCL5o1sPcWbvmyWImPUl6KeBz+14Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T01:05:43.752390Z","bundle_sha256":"cc459e17d5e370a6c0b2133ec199371558577d271ed0728cf2bf8e6f179ec697"}}