{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:SIVQFPORCST6BAGKTVI2N3DNUN","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":"27587b836bef90e379480e60d3fed338f808b30ff6c2eb4c97bac9e88ba86fd6","cross_cats_sorted":["hep-lat","nucl-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-08-11T17:03:58Z","title_canon_sha256":"2fe84bc2298f4abe3fb96683a87f1808dc6f3a16dc3571fc2ce3ffbbba5c2bce"},"schema_version":"1.0","source":{"id":"2608.11144","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.11144","created_at":"2026-08-12T01:24:41Z"},{"alias_kind":"arxiv_version","alias_value":"2608.11144v1","created_at":"2026-08-12T01:24:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.11144","created_at":"2026-08-12T01:24:41Z"},{"alias_kind":"pith_short_12","alias_value":"SIVQFPORCST6","created_at":"2026-08-12T01:24:41Z"},{"alias_kind":"pith_short_16","alias_value":"SIVQFPORCST6BAGK","created_at":"2026-08-12T01:24:41Z"},{"alias_kind":"pith_short_8","alias_value":"SIVQFPOR","created_at":"2026-08-12T01:24:41Z"}],"graph_snapshots":[{"event_id":"sha256:1a4c69d42ceb85859a8e7868e6e1094371b41072a5a2ca7a79c742c5302aa079","target":"graph","created_at":"2026-08-12T01:24:41Z","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/2608.11144/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The effect of an inhomogeneous magnetic field on the QCD vacuum is addressed using the framework of chiral perturbation theory. The magnetic field is chosen to be localized along one spatial direction, with a profile for which the underlying quantum mechanical problem is exactly solvable. Particular attention is paid to regularization and renormalization using dimensional regularization. While the non-vanishing gradient of the magnetic field requires additional operators in chiral perturbation theory, their effect occurs at next-to-next-to-leading order in the chiral expansion. Consequently, t","authors_text":"Brian C. Tiburzi, Prabal Adhikari","cross_cats":["hep-lat","nucl-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-08-11T17:03:58Z","title":"QCD Vacuum in an Inhomogeneous Magnetic Field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.11144","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:d063acd95868264d4b8ff1a5b761e68a141dd666d69d973b60e8a647031f2b14","target":"record","created_at":"2026-08-12T01:24:41Z","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":"27587b836bef90e379480e60d3fed338f808b30ff6c2eb4c97bac9e88ba86fd6","cross_cats_sorted":["hep-lat","nucl-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-08-11T17:03:58Z","title_canon_sha256":"2fe84bc2298f4abe3fb96683a87f1808dc6f3a16dc3571fc2ce3ffbbba5c2bce"},"schema_version":"1.0","source":{"id":"2608.11144","kind":"arxiv","version":1}},"canonical_sha256":"922b02bdd114a7e080ca9d51a6ec6da360a57414936cf8c500182292e06ac312","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"922b02bdd114a7e080ca9d51a6ec6da360a57414936cf8c500182292e06ac312","first_computed_at":"2026-08-12T01:24:41.227110Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-12T01:24:41.227110Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Hk/RhE96PfXSzrDo6SxxefPwwWEGKzcDH8btBQPn0/aL50Lpqj0GGcKXNsFRqzbqSRGJq1qRWWG182JJcCaLCA==","signature_status":"signed_v1","signed_at":"2026-08-12T01:24:41.228622Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.11144","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d063acd95868264d4b8ff1a5b761e68a141dd666d69d973b60e8a647031f2b14","sha256:1a4c69d42ceb85859a8e7868e6e1094371b41072a5a2ca7a79c742c5302aa079"],"state_sha256":"b07282f1c995714d6a9847a715dd4b3430f1792d26aca8733ef1ec6eba17e6d7"}