{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:IZHYOUY7O5JMEBX422FNBD5XOF","short_pith_number":"pith:IZHYOUY7","canonical_record":{"source":{"id":"2501.07658","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2025-01-13T19:36:45Z","cross_cats_sorted":["nucl-th"],"title_canon_sha256":"76ad4e205610a3aa18bc40fff545b987bd1b3f58534a6d76b79acd319b18fb26","abstract_canon_sha256":"5307e95169b3d1a2ee07568fa9220540c2cc9311b48aa99dcbf494538650dbb3"},"schema_version":"1.0"},"canonical_sha256":"464f87531f7752c206fcd68ad08fb77160fdfce13560b600a547f701132bb47d","source":{"kind":"arxiv","id":"2501.07658","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.07658","created_at":"2026-07-05T11:50:29Z"},{"alias_kind":"arxiv_version","alias_value":"2501.07658v3","created_at":"2026-07-05T11:50:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.07658","created_at":"2026-07-05T11:50:29Z"},{"alias_kind":"pith_short_12","alias_value":"IZHYOUY7O5JM","created_at":"2026-07-05T11:50:29Z"},{"alias_kind":"pith_short_16","alias_value":"IZHYOUY7O5JMEBX4","created_at":"2026-07-05T11:50:29Z"},{"alias_kind":"pith_short_8","alias_value":"IZHYOUY7","created_at":"2026-07-05T11:50:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:IZHYOUY7O5JMEBX422FNBD5XOF","target":"record","payload":{"canonical_record":{"source":{"id":"2501.07658","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2025-01-13T19:36:45Z","cross_cats_sorted":["nucl-th"],"title_canon_sha256":"76ad4e205610a3aa18bc40fff545b987bd1b3f58534a6d76b79acd319b18fb26","abstract_canon_sha256":"5307e95169b3d1a2ee07568fa9220540c2cc9311b48aa99dcbf494538650dbb3"},"schema_version":"1.0"},"canonical_sha256":"464f87531f7752c206fcd68ad08fb77160fdfce13560b600a547f701132bb47d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:50:29.918167Z","signature_b64":"N9tjaKl641d/rdEZ3gGIf7q7+DXPaMDOxa7xsKA1LPzyiUejQ14Se5eOy1SRSoNlKZobK8cdCzzPr5asKIPDBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"464f87531f7752c206fcd68ad08fb77160fdfce13560b600a547f701132bb47d","last_reissued_at":"2026-07-05T11:50:29.917687Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:50:29.917687Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2501.07658","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:50:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"suHF97H8CkrxBqtXeMSnzNfFvwkm1QeJ2svb+lWzqod+u6X5+Ke3nepKQPJcGhQIjNRTU6NwqnWCemqo5+joCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T21:39:50.365945Z"},"content_sha256":"c9b2880009f13a6fe7e4b106d94677109cb5f52a591620f783f37227b411efb2","schema_version":"1.0","event_id":"sha256:c9b2880009f13a6fe7e4b106d94677109cb5f52a591620f783f37227b411efb2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:IZHYOUY7O5JMEBX422FNBD5XOF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mixing interactions and effects in the NJL-model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nucl-th"],"primary_cat":"hep-ph","authors_text":"F.L. Braghin","submitted_at":"2025-01-13T19:36:45Z","abstract_excerpt":"The flavor-dependent quark-antiquark contact interactions, induced by vacuum polarization and recently derived for flavor U(3) Nambu-Jona-Lasinio model, are articulated with the resulting mixing effects emerging from flavor symmetry breaking in view. The formal effects of the explicit mixing interactions, $G_{i\\neq j}$, are detailed firstly for the meson mixing problem without the inclusion of 't Hooft interactions induced by instantons. Secondly, it is shown that these mixings, in the scalar channel of quark-antiquark interactions, might give rise to quark mixing in the gap equations. Sixth o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.07658","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2501.07658/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T11:50:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WD1DIbTxdS/sGKwwgPqSjKYDO6pO7wN716z47LDRlh4VbePf/zwsMI2kZq01dCGuci+7/FpOHub3RhRGYUXRAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T21:39:50.366470Z"},"content_sha256":"5c61f50974691c2fd028fc97d14b3f8632dc8ad07b472bf13a60906bebe6ce91","schema_version":"1.0","event_id":"sha256:5c61f50974691c2fd028fc97d14b3f8632dc8ad07b472bf13a60906bebe6ce91"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IZHYOUY7O5JMEBX422FNBD5XOF/bundle.json","state_url":"https://pith.science/pith/IZHYOUY7O5JMEBX422FNBD5XOF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IZHYOUY7O5JMEBX422FNBD5XOF/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":"2026-08-01T21:39:50Z","links":{"resolver":"https://pith.science/pith/IZHYOUY7O5JMEBX422FNBD5XOF","bundle":"https://pith.science/pith/IZHYOUY7O5JMEBX422FNBD5XOF/bundle.json","state":"https://pith.science/pith/IZHYOUY7O5JMEBX422FNBD5XOF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IZHYOUY7O5JMEBX422FNBD5XOF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:IZHYOUY7O5JMEBX422FNBD5XOF","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":"5307e95169b3d1a2ee07568fa9220540c2cc9311b48aa99dcbf494538650dbb3","cross_cats_sorted":["nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2025-01-13T19:36:45Z","title_canon_sha256":"76ad4e205610a3aa18bc40fff545b987bd1b3f58534a6d76b79acd319b18fb26"},"schema_version":"1.0","source":{"id":"2501.07658","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.07658","created_at":"2026-07-05T11:50:29Z"},{"alias_kind":"arxiv_version","alias_value":"2501.07658v3","created_at":"2026-07-05T11:50:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.07658","created_at":"2026-07-05T11:50:29Z"},{"alias_kind":"pith_short_12","alias_value":"IZHYOUY7O5JM","created_at":"2026-07-05T11:50:29Z"},{"alias_kind":"pith_short_16","alias_value":"IZHYOUY7O5JMEBX4","created_at":"2026-07-05T11:50:29Z"},{"alias_kind":"pith_short_8","alias_value":"IZHYOUY7","created_at":"2026-07-05T11:50:29Z"}],"graph_snapshots":[{"event_id":"sha256:5c61f50974691c2fd028fc97d14b3f8632dc8ad07b472bf13a60906bebe6ce91","target":"graph","created_at":"2026-07-05T11:50:29Z","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/2501.07658/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The flavor-dependent quark-antiquark contact interactions, induced by vacuum polarization and recently derived for flavor U(3) Nambu-Jona-Lasinio model, are articulated with the resulting mixing effects emerging from flavor symmetry breaking in view. The formal effects of the explicit mixing interactions, $G_{i\\neq j}$, are detailed firstly for the meson mixing problem without the inclusion of 't Hooft interactions induced by instantons. Secondly, it is shown that these mixings, in the scalar channel of quark-antiquark interactions, might give rise to quark mixing in the gap equations. Sixth o","authors_text":"F.L. Braghin","cross_cats":["nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2025-01-13T19:36:45Z","title":"Mixing interactions and effects in the NJL-model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.07658","kind":"arxiv","version":3},"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:c9b2880009f13a6fe7e4b106d94677109cb5f52a591620f783f37227b411efb2","target":"record","created_at":"2026-07-05T11:50:29Z","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":"5307e95169b3d1a2ee07568fa9220540c2cc9311b48aa99dcbf494538650dbb3","cross_cats_sorted":["nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2025-01-13T19:36:45Z","title_canon_sha256":"76ad4e205610a3aa18bc40fff545b987bd1b3f58534a6d76b79acd319b18fb26"},"schema_version":"1.0","source":{"id":"2501.07658","kind":"arxiv","version":3}},"canonical_sha256":"464f87531f7752c206fcd68ad08fb77160fdfce13560b600a547f701132bb47d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"464f87531f7752c206fcd68ad08fb77160fdfce13560b600a547f701132bb47d","first_computed_at":"2026-07-05T11:50:29.917687Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:50:29.917687Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N9tjaKl641d/rdEZ3gGIf7q7+DXPaMDOxa7xsKA1LPzyiUejQ14Se5eOy1SRSoNlKZobK8cdCzzPr5asKIPDBg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:50:29.918167Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.07658","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c9b2880009f13a6fe7e4b106d94677109cb5f52a591620f783f37227b411efb2","sha256:5c61f50974691c2fd028fc97d14b3f8632dc8ad07b472bf13a60906bebe6ce91"],"state_sha256":"3fffd193eed779af34ec5930407e981d729199794946eccc36ac7d8a1c4dc4e8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nOvQYJSm8QEnxQ1FQ8DvDS2CTtkrlPO8k7wyeFacaJm3ApDD8nQEMTofVM8kL0/smXC6Q/ExStvFCbE6ScZhCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-01T21:39:50.371748Z","bundle_sha256":"04ac4e4c3aadf2cf89e27359492c863b4f52c52978810e77459a1a21ba47cb9a"}}