{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:RO5WOFNMAHBOSEML3WM745ZJRX","short_pith_number":"pith:RO5WOFNM","canonical_record":{"source":{"id":"1412.0575","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-12-01T18:33:04Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"10ba5b83f4645d18959f819508a8524f9f1ab6693114c49b9a98db58a17663a9","abstract_canon_sha256":"52e851f9e311c9102ef8ce34809d83cf4d6eb329012b028e5842c8fa7f68e2c3"},"schema_version":"1.0"},"canonical_sha256":"8bbb6715ac01c2e9118bdd99fe77298de7e1ec0aa03b26da9484d5ee8379854c","source":{"kind":"arxiv","id":"1412.0575","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.0575","created_at":"2026-05-18T02:30:15Z"},{"alias_kind":"arxiv_version","alias_value":"1412.0575v2","created_at":"2026-05-18T02:30:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.0575","created_at":"2026-05-18T02:30:15Z"},{"alias_kind":"pith_short_12","alias_value":"RO5WOFNMAHBO","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RO5WOFNMAHBOSEML","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RO5WOFNM","created_at":"2026-05-18T12:28:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:RO5WOFNMAHBOSEML3WM745ZJRX","target":"record","payload":{"canonical_record":{"source":{"id":"1412.0575","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-12-01T18:33:04Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"10ba5b83f4645d18959f819508a8524f9f1ab6693114c49b9a98db58a17663a9","abstract_canon_sha256":"52e851f9e311c9102ef8ce34809d83cf4d6eb329012b028e5842c8fa7f68e2c3"},"schema_version":"1.0"},"canonical_sha256":"8bbb6715ac01c2e9118bdd99fe77298de7e1ec0aa03b26da9484d5ee8379854c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:30:15.156379Z","signature_b64":"unG02oLL2bS/1pklzEtKnFbEpBQ9ljXJlkMHF4zusCzv7ZMrgq3XsKdJDKgTVbZ6a6gvubQKLWinlcz2UASWCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8bbb6715ac01c2e9118bdd99fe77298de7e1ec0aa03b26da9484d5ee8379854c","last_reissued_at":"2026-05-18T02:30:15.155944Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:30:15.155944Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.0575","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:30:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4xmC8epCbkjUwNkyrHAaNf2zF2iTWD7AZ8Ii5smYJcQiaF1Jkei79hTir1gEbsVj7FqIbQUfBqxoMHMZuG8iAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-10T02:51:54.707432Z"},"content_sha256":"5b23c5f3cb9b15faca5db1f3605402f7ef3db1fa12b9d00cccca5abe5a5084bc","schema_version":"1.0","event_id":"sha256:5b23c5f3cb9b15faca5db1f3605402f7ef3db1fa12b9d00cccca5abe5a5084bc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:RO5WOFNMAHBOSEML3WM745ZJRX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analysis on Irreversible Processes using the Phase-Field Variational Approach with the Entropy or Energy Functional","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"cond-mat.stat-mech","authors_text":"Peng Zhou","submitted_at":"2014-12-01T18:33:04Z","abstract_excerpt":"The variational approach usually used in phase field models (PFVA) is applied here to analyse complex irreversible processes such as thermoelectric (TE) effects and thermally driven mass transport (TDMT). Complex irreversible processes arise from the coupling effects between simple irreversible processes. Each simple irreversible process is assiciated with an entropy or energy density function. During complex irreversible processes with multiple fields present, this entropy or energy density function is assumed to be dependent on all independent field variables. Using the total entropy functio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.0575","kind":"arxiv","version":2},"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":"2026-05-18T02:30:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xyvufjIibSVQ+m3wqjc+IIG5IPmGrlBDEzLmgY/7rNQoUcEhCQ+QLLOc/tLsWmkPo6NA3y+zEfTyZZ05yibMBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-10T02:51:54.707776Z"},"content_sha256":"a6b0f8f8f5cae0a2ab3ba40fe74134c2e6da5cb9093c24d615194c18a5000e19","schema_version":"1.0","event_id":"sha256:a6b0f8f8f5cae0a2ab3ba40fe74134c2e6da5cb9093c24d615194c18a5000e19"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RO5WOFNMAHBOSEML3WM745ZJRX/bundle.json","state_url":"https://pith.science/pith/RO5WOFNMAHBOSEML3WM745ZJRX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RO5WOFNMAHBOSEML3WM745ZJRX/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":"2026-07-10T02:51:54Z","links":{"resolver":"https://pith.science/pith/RO5WOFNMAHBOSEML3WM745ZJRX","bundle":"https://pith.science/pith/RO5WOFNMAHBOSEML3WM745ZJRX/bundle.json","state":"https://pith.science/pith/RO5WOFNMAHBOSEML3WM745ZJRX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RO5WOFNMAHBOSEML3WM745ZJRX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:RO5WOFNMAHBOSEML3WM745ZJRX","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":"52e851f9e311c9102ef8ce34809d83cf4d6eb329012b028e5842c8fa7f68e2c3","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-12-01T18:33:04Z","title_canon_sha256":"10ba5b83f4645d18959f819508a8524f9f1ab6693114c49b9a98db58a17663a9"},"schema_version":"1.0","source":{"id":"1412.0575","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.0575","created_at":"2026-05-18T02:30:15Z"},{"alias_kind":"arxiv_version","alias_value":"1412.0575v2","created_at":"2026-05-18T02:30:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.0575","created_at":"2026-05-18T02:30:15Z"},{"alias_kind":"pith_short_12","alias_value":"RO5WOFNMAHBO","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RO5WOFNMAHBOSEML","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RO5WOFNM","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:a6b0f8f8f5cae0a2ab3ba40fe74134c2e6da5cb9093c24d615194c18a5000e19","target":"graph","created_at":"2026-05-18T02:30:15Z","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 variational approach usually used in phase field models (PFVA) is applied here to analyse complex irreversible processes such as thermoelectric (TE) effects and thermally driven mass transport (TDMT). Complex irreversible processes arise from the coupling effects between simple irreversible processes. Each simple irreversible process is assiciated with an entropy or energy density function. During complex irreversible processes with multiple fields present, this entropy or energy density function is assumed to be dependent on all independent field variables. Using the total entropy functio","authors_text":"Peng Zhou","cross_cats":["cond-mat.soft"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-12-01T18:33:04Z","title":"Analysis on Irreversible Processes using the Phase-Field Variational Approach with the Entropy or Energy Functional"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.0575","kind":"arxiv","version":2},"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":"sha256:5b23c5f3cb9b15faca5db1f3605402f7ef3db1fa12b9d00cccca5abe5a5084bc","target":"record","created_at":"2026-05-18T02:30:15Z","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":"52e851f9e311c9102ef8ce34809d83cf4d6eb329012b028e5842c8fa7f68e2c3","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-12-01T18:33:04Z","title_canon_sha256":"10ba5b83f4645d18959f819508a8524f9f1ab6693114c49b9a98db58a17663a9"},"schema_version":"1.0","source":{"id":"1412.0575","kind":"arxiv","version":2}},"canonical_sha256":"8bbb6715ac01c2e9118bdd99fe77298de7e1ec0aa03b26da9484d5ee8379854c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8bbb6715ac01c2e9118bdd99fe77298de7e1ec0aa03b26da9484d5ee8379854c","first_computed_at":"2026-05-18T02:30:15.155944Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:30:15.155944Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"unG02oLL2bS/1pklzEtKnFbEpBQ9ljXJlkMHF4zusCzv7ZMrgq3XsKdJDKgTVbZ6a6gvubQKLWinlcz2UASWCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:30:15.156379Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.0575","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b23c5f3cb9b15faca5db1f3605402f7ef3db1fa12b9d00cccca5abe5a5084bc","sha256:a6b0f8f8f5cae0a2ab3ba40fe74134c2e6da5cb9093c24d615194c18a5000e19"],"state_sha256":"b60eb02d627b9b693cce58053cdd8a1fd42e7be28f8249630f83e8947f21c6cc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pbsq7SpiiklhQKhk/6yW18nx2mBMc0VaI8MXAz+pBRLmwi5xH/mFFNrEJb4yLOEr5Ex8C3QTkG1IJpd3bovtBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-10T02:51:54.709818Z","bundle_sha256":"17fd2aa8a4a1c664073edf1fe2c70b1e9dc777f90a48bf435ad620fee4c39eda"}}