{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:DJXFJ4TSQB3CTV2NQ7ABH2JXMI","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":"f323461a51cf7e9f23b3b7d7b6e0cf259d0b7eedbac30a6b3d67c7d8a34bb726","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.other","submitted_at":"2006-12-19T15:57:59Z","title_canon_sha256":"1769541544c802124c12956a1060ccf27d64d8e1d8d23d32da9d8e8a5dcbfd8a"},"schema_version":"1.0","source":{"id":"cond-mat/0612491","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0612491","created_at":"2026-07-04T15:35:20Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0612491v2","created_at":"2026-07-04T15:35:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0612491","created_at":"2026-07-04T15:35:20Z"},{"alias_kind":"pith_short_12","alias_value":"DJXFJ4TSQB3C","created_at":"2026-07-04T15:35:20Z"},{"alias_kind":"pith_short_16","alias_value":"DJXFJ4TSQB3CTV2N","created_at":"2026-07-04T15:35:20Z"},{"alias_kind":"pith_short_8","alias_value":"DJXFJ4TS","created_at":"2026-07-04T15:35:20Z"}],"graph_snapshots":[{"event_id":"sha256:7ba910412aa9178353cfd3f3d0613cfc359487e220992e511381d244cbacae8b","target":"graph","created_at":"2026-07-04T15:35:20Z","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/cond-mat/0612491/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Dynamic degrees of freedom and internal variables are treated in a uniform way. The unification is achieved by means of the introduction of a dual internal variable. This duality provides the corresponding evolution equations depending on whether the Onsager-Casimir reciprocity relations are satisfied or not.","authors_text":"A. Berezovski, J. Engelbrecht, P. V\\'an","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.other","submitted_at":"2006-12-19T15:57:59Z","title":"Internal variables and dynamic degrees of freedom"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0612491","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":"sha256:8044727afb4b9c288d995a1c9170100a64086195e3fc049ab733647057c5cc0d","target":"record","created_at":"2026-07-04T15:35:20Z","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":"f323461a51cf7e9f23b3b7d7b6e0cf259d0b7eedbac30a6b3d67c7d8a34bb726","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.other","submitted_at":"2006-12-19T15:57:59Z","title_canon_sha256":"1769541544c802124c12956a1060ccf27d64d8e1d8d23d32da9d8e8a5dcbfd8a"},"schema_version":"1.0","source":{"id":"cond-mat/0612491","kind":"arxiv","version":2}},"canonical_sha256":"1a6e54f272807629d74d87c013e93762005d6141a41e69312e9d10cfc7450593","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1a6e54f272807629d74d87c013e93762005d6141a41e69312e9d10cfc7450593","first_computed_at":"2026-07-04T15:35:20.696182Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:35:20.696182Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EVCXs+lLZZND3Wqk6C9vECOWKlc7GAKFU8MzG3BKQJwCirTuE6qT3Qvdgxtpt04lXUC5Bwj/1GmFqrCQDCExBA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:35:20.696614Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0612491","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8044727afb4b9c288d995a1c9170100a64086195e3fc049ab733647057c5cc0d","sha256:7ba910412aa9178353cfd3f3d0613cfc359487e220992e511381d244cbacae8b"],"state_sha256":"1cd860d35841d98581b2471c9dda9ceafa887ac74a73a0c0571783bff6715ef6"}