{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:BVCLHFAUN3ZWZQZBNTJQ7PBZEE","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":"618afd82c10030113df58382d9e56b0a8757c06522a8c47f4d99c92b99ce501f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2026-07-20T14:53:46Z","title_canon_sha256":"2c413d2394cd46da8c54291553aebf03f40552ac85f43d20c4f57441c8fc109d"},"schema_version":"1.0","source":{"id":"2607.18019","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.18019","created_at":"2026-07-21T02:22:12Z"},{"alias_kind":"arxiv_version","alias_value":"2607.18019v1","created_at":"2026-07-21T02:22:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.18019","created_at":"2026-07-21T02:22:12Z"},{"alias_kind":"pith_short_12","alias_value":"BVCLHFAUN3ZW","created_at":"2026-07-21T02:22:12Z"},{"alias_kind":"pith_short_16","alias_value":"BVCLHFAUN3ZWZQZB","created_at":"2026-07-21T02:22:12Z"},{"alias_kind":"pith_short_8","alias_value":"BVCLHFAU","created_at":"2026-07-21T02:22:12Z"}],"graph_snapshots":[{"event_id":"sha256:0e7c2c0de69db76dc7c8112baa85b28ea7c2a93eaffc8cf04f0ed71064cf6cb4","target":"graph","created_at":"2026-07-21T02:22:12Z","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/2607.18019/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Critical rare earth elements, lithium, copper, and coal underpin global clean energy transitions and advanced manufacturing, yet China faces persistent supply volatility and resource security risks amid fragmented cross-border mineral trade with Outer Mongolia. This paper constructs a dynamic partial equilibrium Stackelberg supply chain model spanning 2026-2036, integrating three geographic nodes: Outer Mongolia's mineral extraction sector, Baotou's rare earth processing hub in Inner Mongolia, and residual demand from the Rest of the World (RoW). The model endogenizes core mechanisms including","authors_text":"Wenxi Fang, Xi Liu","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2026-07-20T14:53:46Z","title":"Modeling rare-earth and energy materials supply chains under theoretical China-outer-Mongolia political reunification scenarios"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.18019","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":"sha256:3475eedb50a79c0b74e73458e7b1f6d391285a224d7f9c6d836a93a435d366ae","target":"record","created_at":"2026-07-21T02:22:12Z","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":"618afd82c10030113df58382d9e56b0a8757c06522a8c47f4d99c92b99ce501f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2026-07-20T14:53:46Z","title_canon_sha256":"2c413d2394cd46da8c54291553aebf03f40552ac85f43d20c4f57441c8fc109d"},"schema_version":"1.0","source":{"id":"2607.18019","kind":"arxiv","version":1}},"canonical_sha256":"0d44b394146ef36cc3216cd30fbc392120c6cce6b2dcd31140509960acb3ed5c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0d44b394146ef36cc3216cd30fbc392120c6cce6b2dcd31140509960acb3ed5c","first_computed_at":"2026-07-21T02:22:12.038478Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-21T02:22:12.038478Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Naxo5zkihIIFAQu57Os5OxrV0Fo/uXSlk2fHWT5KBnBq5+CsOLrWy+8q/3nB+iYlcbqCEBxRapdT+Un5RuFDCg==","signature_status":"signed_v1","signed_at":"2026-07-21T02:22:12.039233Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.18019","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3475eedb50a79c0b74e73458e7b1f6d391285a224d7f9c6d836a93a435d366ae","sha256:0e7c2c0de69db76dc7c8112baa85b28ea7c2a93eaffc8cf04f0ed71064cf6cb4"],"state_sha256":"6388cf6fb972032f3b0adfdfb31db2cbeaa92bd2fd46c8706aad6f0d4db3f7bb"}