{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:LIJKOTORJDRKK7L553N4EB7X2S","short_pith_number":"pith:LIJKOTOR","canonical_record":{"source":{"id":"1412.0297","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2014-11-30T22:23:24Z","cross_cats_sorted":[],"title_canon_sha256":"afb1d8dc8f94d74c3c2c70c3c69908df6536237edffe7d03faeff3954c02f4be","abstract_canon_sha256":"b2ac96061463944e53dd62490bbff6b91b0d37ad42734ecff24689335f45e078"},"schema_version":"1.0"},"canonical_sha256":"5a12a74dd148e2a57d7deedbc207f7d489163ed101298d5c7d86f72015e1bb6a","source":{"kind":"arxiv","id":"1412.0297","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.0297","created_at":"2026-05-18T01:22:41Z"},{"alias_kind":"arxiv_version","alias_value":"1412.0297v1","created_at":"2026-05-18T01:22:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.0297","created_at":"2026-05-18T01:22:41Z"},{"alias_kind":"pith_short_12","alias_value":"LIJKOTORJDRK","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"LIJKOTORJDRKK7L5","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"LIJKOTOR","created_at":"2026-05-18T12:28:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:LIJKOTORJDRKK7L553N4EB7X2S","target":"record","payload":{"canonical_record":{"source":{"id":"1412.0297","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2014-11-30T22:23:24Z","cross_cats_sorted":[],"title_canon_sha256":"afb1d8dc8f94d74c3c2c70c3c69908df6536237edffe7d03faeff3954c02f4be","abstract_canon_sha256":"b2ac96061463944e53dd62490bbff6b91b0d37ad42734ecff24689335f45e078"},"schema_version":"1.0"},"canonical_sha256":"5a12a74dd148e2a57d7deedbc207f7d489163ed101298d5c7d86f72015e1bb6a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:41.631889Z","signature_b64":"PZ4Mw7TUD2aWx12Sjd3ipWHVSxmLubBYC/SfbqVWmuLDCDIrt0FsuIGVZMnXnzngYD0y7X6U64FDblciEOYVCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5a12a74dd148e2a57d7deedbc207f7d489163ed101298d5c7d86f72015e1bb6a","last_reissued_at":"2026-05-18T01:22:41.631342Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:41.631342Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.0297","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":"2026-05-18T01:22:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lmMGxpZRRu0fgPybeehtTvwnxf6glM7kvGkZAbXtT+VIMjuAlLMcEaJOQKXjktDugYx3ocTffM7Ev0dIIq4UAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T03:45:59.186134Z"},"content_sha256":"b753abaf5631eb842b8edbea1af1980a08fbb740a8a2cd514d28055a5a46d6a8","schema_version":"1.0","event_id":"sha256:b753abaf5631eb842b8edbea1af1980a08fbb740a8a2cd514d28055a5a46d6a8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:LIJKOTORJDRKK7L553N4EB7X2S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Microscopic Treatment of Solute Trapping and Drag","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Harith Humadi, J. J. Hoyt, Nikolas Provatas","submitted_at":"2014-11-30T22:23:24Z","abstract_excerpt":"The long wavelength limit of a recent microscopic phase field crystal (PFC) theory of a binary alloy mix- ture is used to derive an analytical approximation for the segregation coefficient as a function of the interface velocity, and relate it to the two-point correlation function of the liquid and the thermodynamic properties of solid and liquid phases. Our results offer the first analytic derivation of solute segregation and solute drag de- rived from a microscopic model, and analytically support recent molecular dynamics and fully numerical PFC simulations. Our analytical result also provid"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.0297","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":"2026-05-18T01:22:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cwjBwY3XovhkJmbpNWqtV+pXuTxeFVTjCkcPqmOtvm/tFBlUwmR8E6P294DZcyUyyEykfQ2iAaUjprx67FixAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T03:45:59.186515Z"},"content_sha256":"f7340eb61f90f35ed7cd31d7ebac496e5e2e4d0067f2bc4ec974eb909f37506f","schema_version":"1.0","event_id":"sha256:f7340eb61f90f35ed7cd31d7ebac496e5e2e4d0067f2bc4ec974eb909f37506f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LIJKOTORJDRKK7L553N4EB7X2S/bundle.json","state_url":"https://pith.science/pith/LIJKOTORJDRKK7L553N4EB7X2S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LIJKOTORJDRKK7L553N4EB7X2S/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":"2026-06-01T03:45:59Z","links":{"resolver":"https://pith.science/pith/LIJKOTORJDRKK7L553N4EB7X2S","bundle":"https://pith.science/pith/LIJKOTORJDRKK7L553N4EB7X2S/bundle.json","state":"https://pith.science/pith/LIJKOTORJDRKK7L553N4EB7X2S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LIJKOTORJDRKK7L553N4EB7X2S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:LIJKOTORJDRKK7L553N4EB7X2S","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":"b2ac96061463944e53dd62490bbff6b91b0d37ad42734ecff24689335f45e078","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2014-11-30T22:23:24Z","title_canon_sha256":"afb1d8dc8f94d74c3c2c70c3c69908df6536237edffe7d03faeff3954c02f4be"},"schema_version":"1.0","source":{"id":"1412.0297","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.0297","created_at":"2026-05-18T01:22:41Z"},{"alias_kind":"arxiv_version","alias_value":"1412.0297v1","created_at":"2026-05-18T01:22:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.0297","created_at":"2026-05-18T01:22:41Z"},{"alias_kind":"pith_short_12","alias_value":"LIJKOTORJDRK","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"LIJKOTORJDRKK7L5","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"LIJKOTOR","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:f7340eb61f90f35ed7cd31d7ebac496e5e2e4d0067f2bc4ec974eb909f37506f","target":"graph","created_at":"2026-05-18T01:22:41Z","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 long wavelength limit of a recent microscopic phase field crystal (PFC) theory of a binary alloy mix- ture is used to derive an analytical approximation for the segregation coefficient as a function of the interface velocity, and relate it to the two-point correlation function of the liquid and the thermodynamic properties of solid and liquid phases. Our results offer the first analytic derivation of solute segregation and solute drag de- rived from a microscopic model, and analytically support recent molecular dynamics and fully numerical PFC simulations. Our analytical result also provid","authors_text":"Harith Humadi, J. J. Hoyt, Nikolas Provatas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2014-11-30T22:23:24Z","title":"Microscopic Treatment of Solute Trapping and Drag"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.0297","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:b753abaf5631eb842b8edbea1af1980a08fbb740a8a2cd514d28055a5a46d6a8","target":"record","created_at":"2026-05-18T01:22:41Z","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":"b2ac96061463944e53dd62490bbff6b91b0d37ad42734ecff24689335f45e078","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2014-11-30T22:23:24Z","title_canon_sha256":"afb1d8dc8f94d74c3c2c70c3c69908df6536237edffe7d03faeff3954c02f4be"},"schema_version":"1.0","source":{"id":"1412.0297","kind":"arxiv","version":1}},"canonical_sha256":"5a12a74dd148e2a57d7deedbc207f7d489163ed101298d5c7d86f72015e1bb6a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5a12a74dd148e2a57d7deedbc207f7d489163ed101298d5c7d86f72015e1bb6a","first_computed_at":"2026-05-18T01:22:41.631342Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:41.631342Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PZ4Mw7TUD2aWx12Sjd3ipWHVSxmLubBYC/SfbqVWmuLDCDIrt0FsuIGVZMnXnzngYD0y7X6U64FDblciEOYVCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:41.631889Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.0297","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b753abaf5631eb842b8edbea1af1980a08fbb740a8a2cd514d28055a5a46d6a8","sha256:f7340eb61f90f35ed7cd31d7ebac496e5e2e4d0067f2bc4ec974eb909f37506f"],"state_sha256":"6d77c48df68f44b1487b4eea0d2cd454c9dab08ec40f2caee7a3e078aaaaeab4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NF9HEfuJzCqpDfm5DbptWqRg32hMRY/eW3f/52baV389nm5d5ZAqmSYTuYugqWCL1da1KMTG0lddcdAjr6LADQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T03:45:59.189099Z","bundle_sha256":"13e21d64c6080dc6d3c342d792167cb0c6673e80d53213fe039c9fe732f60d25"}}