{"as_of":"2026-08-13T11:34:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:50414d2ebdb508c195fa01c0b6f55a842bb82f609a6626c47da3c07dc0363204","coverage":[{"denominator":7,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":7,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T13:20:51.692610Z","state":"measured"},{"denominator":7,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":7,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2411.16430/citation-record","integrity":"/paper/2411.16430/integrity","json":"/paper/2411.16430/citation-record.json","paper":"/paper/2411.16430"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:20:51.803962Z","title":"Reciprocal relations in irreversible processes. I","venue":null,"work_id":"e3f5092b-c045-49d1-99dd-a9887b30a71b","year":1931},"citing_paper":{"arxiv_id":"2411.16430","last_updated":"2025-07-14T08:09:00Z","snapshot_observed_at":"2026-08-12T13:05:17.341754Z","submitted_at":"2024-11-25T14:33:21Z","title":"Interface Energy and Phase Transformations: A Comparative Analysis of Cahn-Hilliard and CALPHAD-based Models in Ternary Substitutional Alloys","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T13:20:51.666186Z"},"links":{"citing_paper":"/paper/2411.16430"},"observation_digest":"sha256:8d547109005c116cd03f0b3a5c3459d826785eac494f288e0cb9ea3287daf412","observation_id":"0dfb63a4-afc7-41a1-a792-404f7e54bc99","resolution":{"observed_at":"2026-08-12T13:20:51.807998Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:20:51.791229Z","title":"Free energy of a nonuniform system. I. Interfacial free energy","venue":null,"work_id":"96b55bfe-fd4c-43ff-9cad-8705b0020e40","year":1958},"citing_paper":{"arxiv_id":"2411.16430","last_updated":"2025-07-14T08:09:00Z","snapshot_observed_at":"2026-08-12T13:05:17.341754Z","submitted_at":"2024-11-25T14:33:21Z","title":"Interface Energy and Phase Transformations: A Comparative Analysis of Cahn-Hilliard and CALPHAD-based Models in Ternary Substitutional Alloys","version":2},"reference_index":405,"source":"pdf_text","source_observed_at":"2026-08-12T13:20:51.671404Z"},"links":{"citing_paper":"/paper/2411.16430"},"observation_digest":"sha256:6727b85d4befd9a93283b3a3efa3681cec981a617d3e2cf64cbb4a189ca5e955","observation_id":"5f9560e9-bff0-484c-aa4e-2808ca84edf6","resolution":{"observed_at":"2026-08-12T13:20:51.795512Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:20:51.777461Z","title":"Chemical thermodynamics of materials","venue":null,"work_id":"3ddf04ad-3502-41ae-859b-abe129668444","year":1983},"citing_paper":{"arxiv_id":"2411.16430","last_updated":"2025-07-14T08:09:00Z","snapshot_observed_at":"2026-08-12T13:05:17.341754Z","submitted_at":"2024-11-25T14:33:21Z","title":"Interface Energy and Phase Transformations: A Comparative Analysis of Cahn-Hilliard and CALPHAD-based Models in Ternary Substitutional Alloys","version":2},"reference_index":1111,"source":"pdf_text","source_observed_at":"2026-08-12T13:20:51.675731Z"},"links":{"citing_paper":"/paper/2411.16430"},"observation_digest":"sha256:c86eb2bc3003e67d0d9e56bce26e5299e4a0efd44cd752085289e888afa341d9","observation_id":"8245cb46-6512-44df-a9aa-f9d51ce41cf7","resolution":{"observed_at":"2026-08-12T13:20:51.782766Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:20:51.764144Z","title":"Molecular dynamics simulation of crack growth under cyclic load- ing","venue":null,"work_id":"d10a5c2b-29c4-41fe-b2b3-3c411ee2971c","year":2004},"citing_paper":{"arxiv_id":"2411.16430","last_updated":"2025-07-14T08:09:00Z","snapshot_observed_at":"2026-08-12T13:05:17.341754Z","submitted_at":"2024-11-25T14:33:21Z","title":"Interface Energy and Phase Transformations: A Comparative Analysis of Cahn-Hilliard and CALPHAD-based Models in Ternary Substitutional Alloys","version":2},"reference_index":1995,"source":"pdf_text","source_observed_at":"2026-08-12T13:20:51.680053Z"},"links":{"citing_paper":"/paper/2411.16430"},"observation_digest":"sha256:42844fbe8d36f051f7716dab651d7db0b5cda602b37bde0759c923e52243b7a8","observation_id":"65ecf98f-a42a-4d12-82bd-b8689f23f8e2","resolution":{"observed_at":"2026-08-12T13:20:51.768426Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:20:51.748061Z","title":"The FEniCS project version 1.5","venue":null,"work_id":"544b50a9-c9b6-4727-bad1-b43cc45ae8ae","year":2015},"citing_paper":{"arxiv_id":"2411.16430","last_updated":"2025-07-14T08:09:00Z","snapshot_observed_at":"2026-08-12T13:05:17.341754Z","submitted_at":"2024-11-25T14:33:21Z","title":"Interface Energy and Phase Transformations: A Comparative Analysis of Cahn-Hilliard and CALPHAD-based Models in Ternary Substitutional Alloys","version":2},"reference_index":2014,"source":"pdf_text","source_observed_at":"2026-08-12T13:20:51.684082Z"},"links":{"citing_paper":"/paper/2411.16430"},"observation_digest":"sha256:ef57b8e105c6b141800332b250b239cecb02a45593221b369c1155859c2583bc","observation_id":"89445024-4a9b-4f58-9775-d460fb057f4a","resolution":{"observed_at":"2026-08-12T13:20:51.753424Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:20:51.734884Z","title":"Sharp limit of the viscous Cahn–Hilliard equation and thermo- dynamic consistency","venue":null,"work_id":"f0117512-9e5f-4ae9-a676-93442d25098b","year":2017},"citing_paper":{"arxiv_id":"2411.16430","last_updated":"2025-07-14T08:09:00Z","snapshot_observed_at":"2026-08-12T13:05:17.341754Z","submitted_at":"2024-11-25T14:33:21Z","title":"Interface Energy and Phase Transformations: A Comparative Analysis of Cahn-Hilliard and CALPHAD-based Models in Ternary Substitutional Alloys","version":2},"reference_index":2017,"source":"pdf_text","source_observed_at":"2026-08-12T13:20:51.688039Z"},"links":{"citing_paper":"/paper/2411.16430"},"observation_digest":"sha256:f6ff9425911f702cec3c26e8b5e752a77257c4e9fcc89bd20e7eb4d50ce1a5d3","observation_id":"73e7c3b4-e6dc-44d3-953c-f301e6d28bbe","resolution":{"observed_at":"2026-08-12T13:20:51.738480Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:20:51.720052Z","title":"Construction of arbitrary order finite element degree-of-freedom maps on polygonal and polyhedral cell meshes","venue":null,"work_id":"0fb1ce00-a4d7-4b72-8541-620391198ec3","year":2022},"citing_paper":{"arxiv_id":"2411.16430","last_updated":"2025-07-14T08:09:00Z","snapshot_observed_at":"2026-08-12T13:05:17.341754Z","submitted_at":"2024-11-25T14:33:21Z","title":"Interface Energy and Phase Transformations: A Comparative Analysis of Cahn-Hilliard and CALPHAD-based Models in Ternary Substitutional Alloys","version":2},"reference_index":3982,"source":"pdf_text","source_observed_at":"2026-08-12T13:20:51.692610Z"},"links":{"citing_paper":"/paper/2411.16430"},"observation_digest":"sha256:a451a74cc2268c6957955cf2b1769cd80f3c65a86e805eac00948b1c2f7925b9","observation_id":"87977523-fb9c-4875-a883-92ef71890234","resolution":{"observed_at":"2026-08-12T13:20:51.726316Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2411.16430","last_updated":"2025-07-14T08:09:00Z","latest_version":2,"primary_category":"math.NA","snapshot_observed_at":"2026-08-12T13:05:17.341754Z","submitted_at":"2024-11-25T14:33:21Z","title":"Interface Energy and Phase Transformations: A Comparative Analysis of Cahn-Hilliard and CALPHAD-based Models in Ternary Substitutional Alloys"},"reference_resolution":{"displayed":7,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":7},"total_outbound_references":7},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 0 inbound Pith citation observations for arXiv:2411.16430."}