{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:WROZQXEKBIPVXZ2VA23LZ4TFQA","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":"1b1d12ed9d4209dbe34366cff16a2b6aefbef9597f98a488f2b64671ff3c5a9e","cross_cats_sorted":["hep-th","math-ph","math.CO","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-04-02T11:34:09Z","title_canon_sha256":"c590ad814ca32bb50a3b65426ec9c0e2e39ca5710934b81506f61405bc5b7e87"},"schema_version":"1.0","source":{"id":"2504.01628","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.01628","created_at":"2026-07-05T11:25:09Z"},{"alias_kind":"arxiv_version","alias_value":"2504.01628v2","created_at":"2026-07-05T11:25:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.01628","created_at":"2026-07-05T11:25:09Z"},{"alias_kind":"pith_short_12","alias_value":"WROZQXEKBIPV","created_at":"2026-07-05T11:25:09Z"},{"alias_kind":"pith_short_16","alias_value":"WROZQXEKBIPVXZ2V","created_at":"2026-07-05T11:25:09Z"},{"alias_kind":"pith_short_8","alias_value":"WROZQXEK","created_at":"2026-07-05T11:25:09Z"}],"graph_snapshots":[{"event_id":"sha256:37c19f63d53c192a18cfc50902dd700c863e5c065301071698816db094cde84a","target":"graph","created_at":"2026-07-05T11:25:09Z","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/2504.01628/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Copositive matrices and copositive polynomials are objects from optimization. We connect these to the geometry of Feynman integrals in physics. The integral is guaranteed to converge if its kinematic parameters lie in the copositive cone. P\\'olya's method makes this manifest. We study the copositive cone for the second Symanzik polynomial of any Feynman graph. Its algebraic boundary is described by Landau discriminants.","authors_text":"Bernd Sturmfels, M\\'at\\'e L. Telek","cross_cats":["hep-th","math-ph","math.CO","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-04-02T11:34:09Z","title":"Copositive geometry of Feynman integrals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.01628","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":"sha256:7026c16956f5dfe52ec4a59fa82969c575c9a15558fe3cc48753081e2a26daad","target":"record","created_at":"2026-07-05T11:25:09Z","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":"1b1d12ed9d4209dbe34366cff16a2b6aefbef9597f98a488f2b64671ff3c5a9e","cross_cats_sorted":["hep-th","math-ph","math.CO","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-04-02T11:34:09Z","title_canon_sha256":"c590ad814ca32bb50a3b65426ec9c0e2e39ca5710934b81506f61405bc5b7e87"},"schema_version":"1.0","source":{"id":"2504.01628","kind":"arxiv","version":2}},"canonical_sha256":"b45d985c8a0a1f5be75506b6bcf265801f5f1c77a43bb790da0df55a7fb7ba1a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b45d985c8a0a1f5be75506b6bcf265801f5f1c77a43bb790da0df55a7fb7ba1a","first_computed_at":"2026-07-05T11:25:09.410237Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:25:09.410237Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2FLeA5BwJMlTAWUljJn2dCrNnae+v1Oo5rfrlaQYpX97DvQc46K+rgH/+WHpA54qxsKS8oY6OmiwW2PXblYmDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:25:09.410727Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.01628","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7026c16956f5dfe52ec4a59fa82969c575c9a15558fe3cc48753081e2a26daad","sha256:37c19f63d53c192a18cfc50902dd700c863e5c065301071698816db094cde84a"],"state_sha256":"b774bc85afaaff24b7c84e901efb3ce19e56735a68ad7a22ecf4991aa1112dbe"}