{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:E5SBPQ5FMZZQRRDBMJOCFJUV2K","short_pith_number":"pith:E5SBPQ5F","canonical_record":{"source":{"id":"2107.00514","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2021-07-01T14:58:10Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"0c9eef3a1b17478bb10c06db7a70ba7a9ab2a1aac5da3f8f05c244e872cdca2c","abstract_canon_sha256":"d66e5c3bc592f309165e2293a6b28ba59f5dce170b7c4b8e42b6a5f19819fdc9"},"schema_version":"1.0"},"canonical_sha256":"276417c3a5667308c461625c22a695d2948f143498ea65865740bd3a3c55f37e","source":{"kind":"arxiv","id":"2107.00514","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2107.00514","created_at":"2026-07-05T03:10:11Z"},{"alias_kind":"arxiv_version","alias_value":"2107.00514v1","created_at":"2026-07-05T03:10:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2107.00514","created_at":"2026-07-05T03:10:11Z"},{"alias_kind":"pith_short_12","alias_value":"E5SBPQ5FMZZQ","created_at":"2026-07-05T03:10:11Z"},{"alias_kind":"pith_short_16","alias_value":"E5SBPQ5FMZZQRRDB","created_at":"2026-07-05T03:10:11Z"},{"alias_kind":"pith_short_8","alias_value":"E5SBPQ5F","created_at":"2026-07-05T03:10:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:E5SBPQ5FMZZQRRDBMJOCFJUV2K","target":"record","payload":{"canonical_record":{"source":{"id":"2107.00514","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2021-07-01T14:58:10Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"0c9eef3a1b17478bb10c06db7a70ba7a9ab2a1aac5da3f8f05c244e872cdca2c","abstract_canon_sha256":"d66e5c3bc592f309165e2293a6b28ba59f5dce170b7c4b8e42b6a5f19819fdc9"},"schema_version":"1.0"},"canonical_sha256":"276417c3a5667308c461625c22a695d2948f143498ea65865740bd3a3c55f37e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:10:11.553763Z","signature_b64":"sYZ7tDHfnIvfcIM35gmhRyMy78bgwrMohNp8okQtgBqvwHn9pDVUES+qSyJy2WdrJHwPghCvRJqlxpvAvD/1CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"276417c3a5667308c461625c22a695d2948f143498ea65865740bd3a3c55f37e","last_reissued_at":"2026-07-05T03:10:11.553285Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:10:11.553285Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2107.00514","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":"2026-07-05T03:10:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q9iRNw+0pyK2iVQP4gkAzkG8LQ7rNKleLUiqbguHbxr+ts/fvW28ix/m/yOhyAmIO/+Mv3EPF6lNYX/sDI8sCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T19:57:08.839684Z"},"content_sha256":"df22dece375ce55552ab2d2178df3db12467d5d18dc7f78363359a022c717d96","schema_version":"1.0","event_id":"sha256:df22dece375ce55552ab2d2178df3db12467d5d18dc7f78363359a022c717d96"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:E5SBPQ5FMZZQRRDBMJOCFJUV2K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Elastic energy of multi-component solid solutions and strain origins of phase stability in high-entropy alloys","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Lei Wang, Reza Darvishi Kamachali","submitted_at":"2021-07-01T14:58:10Z","abstract_excerpt":"The elastic energy of mixing for multi-component solid solutions is derived by generalizing Eshelby's sphere-in-hole model for binary alloys. By surveying the dependence of the elastic energy on chemical composition and lattice misfit, we propose a lattice strain coefficient {\\lambda}*. Applying to several high-entropy alloys and superalloys, we found that most solid solution alloys are stable when {\\lambda}*<0.16, analogous to the Hume-Rothery atomic-size rule for binary alloys. We also reveal that the polydispersity index {\\delta}, frequently used for describing strain in multi-component all"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.00514","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2107.00514/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T03:10:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"krJLAjarGIl5BVIL9YuJ6Nn7pfOPoQleo6JNZtHOjCB7pvnlmuWB8S9jfZ8uZ91FI9r82Ts7tAiGg2GGqKhJBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T19:57:08.840188Z"},"content_sha256":"72c4f0c632c42f2c315258cf4195d664ecc1f23b8dc197998ed9599d83a8e6a7","schema_version":"1.0","event_id":"sha256:72c4f0c632c42f2c315258cf4195d664ecc1f23b8dc197998ed9599d83a8e6a7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E5SBPQ5FMZZQRRDBMJOCFJUV2K/bundle.json","state_url":"https://pith.science/pith/E5SBPQ5FMZZQRRDBMJOCFJUV2K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E5SBPQ5FMZZQRRDBMJOCFJUV2K/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":"2026-08-03T19:57:08Z","links":{"resolver":"https://pith.science/pith/E5SBPQ5FMZZQRRDBMJOCFJUV2K","bundle":"https://pith.science/pith/E5SBPQ5FMZZQRRDBMJOCFJUV2K/bundle.json","state":"https://pith.science/pith/E5SBPQ5FMZZQRRDBMJOCFJUV2K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E5SBPQ5FMZZQRRDBMJOCFJUV2K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:E5SBPQ5FMZZQRRDBMJOCFJUV2K","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":"d66e5c3bc592f309165e2293a6b28ba59f5dce170b7c4b8e42b6a5f19819fdc9","cross_cats_sorted":["physics.comp-ph"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2021-07-01T14:58:10Z","title_canon_sha256":"0c9eef3a1b17478bb10c06db7a70ba7a9ab2a1aac5da3f8f05c244e872cdca2c"},"schema_version":"1.0","source":{"id":"2107.00514","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2107.00514","created_at":"2026-07-05T03:10:11Z"},{"alias_kind":"arxiv_version","alias_value":"2107.00514v1","created_at":"2026-07-05T03:10:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2107.00514","created_at":"2026-07-05T03:10:11Z"},{"alias_kind":"pith_short_12","alias_value":"E5SBPQ5FMZZQ","created_at":"2026-07-05T03:10:11Z"},{"alias_kind":"pith_short_16","alias_value":"E5SBPQ5FMZZQRRDB","created_at":"2026-07-05T03:10:11Z"},{"alias_kind":"pith_short_8","alias_value":"E5SBPQ5F","created_at":"2026-07-05T03:10:11Z"}],"graph_snapshots":[{"event_id":"sha256:72c4f0c632c42f2c315258cf4195d664ecc1f23b8dc197998ed9599d83a8e6a7","target":"graph","created_at":"2026-07-05T03:10:11Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2107.00514/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The elastic energy of mixing for multi-component solid solutions is derived by generalizing Eshelby's sphere-in-hole model for binary alloys. By surveying the dependence of the elastic energy on chemical composition and lattice misfit, we propose a lattice strain coefficient {\\lambda}*. Applying to several high-entropy alloys and superalloys, we found that most solid solution alloys are stable when {\\lambda}*<0.16, analogous to the Hume-Rothery atomic-size rule for binary alloys. We also reveal that the polydispersity index {\\delta}, frequently used for describing strain in multi-component all","authors_text":"Lei Wang, Reza Darvishi Kamachali","cross_cats":["physics.comp-ph"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2021-07-01T14:58:10Z","title":"Elastic energy of multi-component solid solutions and strain origins of phase stability in high-entropy alloys"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.00514","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:df22dece375ce55552ab2d2178df3db12467d5d18dc7f78363359a022c717d96","target":"record","created_at":"2026-07-05T03:10:11Z","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":"d66e5c3bc592f309165e2293a6b28ba59f5dce170b7c4b8e42b6a5f19819fdc9","cross_cats_sorted":["physics.comp-ph"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2021-07-01T14:58:10Z","title_canon_sha256":"0c9eef3a1b17478bb10c06db7a70ba7a9ab2a1aac5da3f8f05c244e872cdca2c"},"schema_version":"1.0","source":{"id":"2107.00514","kind":"arxiv","version":1}},"canonical_sha256":"276417c3a5667308c461625c22a695d2948f143498ea65865740bd3a3c55f37e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"276417c3a5667308c461625c22a695d2948f143498ea65865740bd3a3c55f37e","first_computed_at":"2026-07-05T03:10:11.553285Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:10:11.553285Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sYZ7tDHfnIvfcIM35gmhRyMy78bgwrMohNp8okQtgBqvwHn9pDVUES+qSyJy2WdrJHwPghCvRJqlxpvAvD/1CA==","signature_status":"signed_v1","signed_at":"2026-07-05T03:10:11.553763Z","signed_message":"canonical_sha256_bytes"},"source_id":"2107.00514","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df22dece375ce55552ab2d2178df3db12467d5d18dc7f78363359a022c717d96","sha256:72c4f0c632c42f2c315258cf4195d664ecc1f23b8dc197998ed9599d83a8e6a7"],"state_sha256":"5d3855ae74cb4d534c588fba7d074c23c252af4ca9cb429b10ef44fd790f7289"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vnLtoUqMxl+Xa3bx1BGT5aoEl+cPKDK/gZj7hI/E18k544EGf7NP8xbcwwGNtII4sn+az3fsnOqOCck7dl1mAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T19:57:08.843781Z","bundle_sha256":"a25fc8597bdcc68d9fd027024182606ec33759154e0449488ecdd43bee54f2e0"}}