{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:EJE7E72K5ZKGXBPTQTMJFWRUAJ","short_pith_number":"pith:EJE7E72K","canonical_record":{"source":{"id":"2606.08609","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-06-07T12:48:15Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"2c8e049b02f4d41458d1e7a6eaedae4c051081a86097dd55d01d543773eb4093","abstract_canon_sha256":"e0837102a8ad2eb1ca92a0e774712475d3917ec4c04e3a5027b92b7c058a6dc6"},"schema_version":"1.0"},"canonical_sha256":"2249f27f4aee546b85f384d892da340262afd74c4316cbdd70d65ed879e03b65","source":{"kind":"arxiv","id":"2606.08609","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.08609","created_at":"2026-06-09T01:05:41Z"},{"alias_kind":"arxiv_version","alias_value":"2606.08609v1","created_at":"2026-06-09T01:05:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.08609","created_at":"2026-06-09T01:05:41Z"},{"alias_kind":"pith_short_12","alias_value":"EJE7E72K5ZKG","created_at":"2026-06-09T01:05:41Z"},{"alias_kind":"pith_short_16","alias_value":"EJE7E72K5ZKGXBPT","created_at":"2026-06-09T01:05:41Z"},{"alias_kind":"pith_short_8","alias_value":"EJE7E72K","created_at":"2026-06-09T01:05:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:EJE7E72K5ZKGXBPTQTMJFWRUAJ","target":"record","payload":{"canonical_record":{"source":{"id":"2606.08609","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-06-07T12:48:15Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"2c8e049b02f4d41458d1e7a6eaedae4c051081a86097dd55d01d543773eb4093","abstract_canon_sha256":"e0837102a8ad2eb1ca92a0e774712475d3917ec4c04e3a5027b92b7c058a6dc6"},"schema_version":"1.0"},"canonical_sha256":"2249f27f4aee546b85f384d892da340262afd74c4316cbdd70d65ed879e03b65","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-09T01:05:41.372861Z","signature_b64":"SBd6UHly/4l4YcAgPuPtm35IWSN7r070fz/ExGU64lsmzufCnzlK1mFGqJpaLslNkR0cb9IZmpCAjcLk8o4jCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2249f27f4aee546b85f384d892da340262afd74c4316cbdd70d65ed879e03b65","last_reissued_at":"2026-06-09T01:05:41.372435Z","signature_status":"signed_v1","first_computed_at":"2026-06-09T01:05:41.372435Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.08609","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-09T01:05:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9wPYkTOkn3O6YtvJl5f53jgCj2pLAUyamIybJuLKp2q49YuU84CLHSMhJzXEwCjKVMC5y2nWnPq4GMMo2UCaAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T17:25:30.230295Z"},"content_sha256":"34eece2a3c5293649dd60397940c1c6d8d1da31849381945928a3d8e5c5629f4","schema_version":"1.0","event_id":"sha256:34eece2a3c5293649dd60397940c1c6d8d1da31849381945928a3d8e5c5629f4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:EJE7E72K5ZKGXBPTQTMJFWRUAJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Machine learning unveils the quark mass dependence of the pseudoscalar meson decay constants in three-flavour N$^2$LO ChPT","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-ph","authors_text":"Fernando Gil Dom\\'inguez, Raquel Molina, Zejian Zhuang","submitted_at":"2026-06-07T12:48:15Z","abstract_excerpt":"The quark mass dependence of the pseudoscalar meson decay consntants, $f_\\pi, f_K$ and $f_\\eta$, are determined from three-flavor N$^2$LO ChPT till pion masses around $780$ MeV, near the SU(3) limit. This is done by conducting an analysis of recent LQCD data using the LASSO method, a machine-learning technique which allows to pin down the relevant low-energy-constants with high precision. Since the pion decay constant is a fundamental quantity which usually appears in relevant phenomenological lagrangians or Effective Field Theories based on QCD at low energies, this analysis can be used as in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.08609","kind":"arxiv","version":1},"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/2606.08609/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":"2026-06-09T01:05:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mqD2zNGt10JQqANf+IFcEksIfBZ1jUGBiVUmw7so9djGYHS9IciCj2620SDaDisOgyMYgDXwabapD9GQgvbgBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T17:25:30.230687Z"},"content_sha256":"0e2f8946f509d99439b8f7b35a5bdfc65660dcf7ab42d232923eb325cd1306cb","schema_version":"1.0","event_id":"sha256:0e2f8946f509d99439b8f7b35a5bdfc65660dcf7ab42d232923eb325cd1306cb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EJE7E72K5ZKGXBPTQTMJFWRUAJ/bundle.json","state_url":"https://pith.science/pith/EJE7E72K5ZKGXBPTQTMJFWRUAJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EJE7E72K5ZKGXBPTQTMJFWRUAJ/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":"2026-06-29T17:25:30Z","links":{"resolver":"https://pith.science/pith/EJE7E72K5ZKGXBPTQTMJFWRUAJ","bundle":"https://pith.science/pith/EJE7E72K5ZKGXBPTQTMJFWRUAJ/bundle.json","state":"https://pith.science/pith/EJE7E72K5ZKGXBPTQTMJFWRUAJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EJE7E72K5ZKGXBPTQTMJFWRUAJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:EJE7E72K5ZKGXBPTQTMJFWRUAJ","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":"e0837102a8ad2eb1ca92a0e774712475d3917ec4c04e3a5027b92b7c058a6dc6","cross_cats_sorted":["hep-lat"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-06-07T12:48:15Z","title_canon_sha256":"2c8e049b02f4d41458d1e7a6eaedae4c051081a86097dd55d01d543773eb4093"},"schema_version":"1.0","source":{"id":"2606.08609","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.08609","created_at":"2026-06-09T01:05:41Z"},{"alias_kind":"arxiv_version","alias_value":"2606.08609v1","created_at":"2026-06-09T01:05:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.08609","created_at":"2026-06-09T01:05:41Z"},{"alias_kind":"pith_short_12","alias_value":"EJE7E72K5ZKG","created_at":"2026-06-09T01:05:41Z"},{"alias_kind":"pith_short_16","alias_value":"EJE7E72K5ZKGXBPT","created_at":"2026-06-09T01:05:41Z"},{"alias_kind":"pith_short_8","alias_value":"EJE7E72K","created_at":"2026-06-09T01:05:41Z"}],"graph_snapshots":[{"event_id":"sha256:0e2f8946f509d99439b8f7b35a5bdfc65660dcf7ab42d232923eb325cd1306cb","target":"graph","created_at":"2026-06-09T01:05:41Z","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/2606.08609/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The quark mass dependence of the pseudoscalar meson decay consntants, $f_\\pi, f_K$ and $f_\\eta$, are determined from three-flavor N$^2$LO ChPT till pion masses around $780$ MeV, near the SU(3) limit. This is done by conducting an analysis of recent LQCD data using the LASSO method, a machine-learning technique which allows to pin down the relevant low-energy-constants with high precision. Since the pion decay constant is a fundamental quantity which usually appears in relevant phenomenological lagrangians or Effective Field Theories based on QCD at low energies, this analysis can be used as in","authors_text":"Fernando Gil Dom\\'inguez, Raquel Molina, Zejian Zhuang","cross_cats":["hep-lat"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-06-07T12:48:15Z","title":"Machine learning unveils the quark mass dependence of the pseudoscalar meson decay constants in three-flavour N$^2$LO ChPT"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.08609","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":"sha256:34eece2a3c5293649dd60397940c1c6d8d1da31849381945928a3d8e5c5629f4","target":"record","created_at":"2026-06-09T01:05:41Z","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":"e0837102a8ad2eb1ca92a0e774712475d3917ec4c04e3a5027b92b7c058a6dc6","cross_cats_sorted":["hep-lat"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-06-07T12:48:15Z","title_canon_sha256":"2c8e049b02f4d41458d1e7a6eaedae4c051081a86097dd55d01d543773eb4093"},"schema_version":"1.0","source":{"id":"2606.08609","kind":"arxiv","version":1}},"canonical_sha256":"2249f27f4aee546b85f384d892da340262afd74c4316cbdd70d65ed879e03b65","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2249f27f4aee546b85f384d892da340262afd74c4316cbdd70d65ed879e03b65","first_computed_at":"2026-06-09T01:05:41.372435Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-09T01:05:41.372435Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SBd6UHly/4l4YcAgPuPtm35IWSN7r070fz/ExGU64lsmzufCnzlK1mFGqJpaLslNkR0cb9IZmpCAjcLk8o4jCQ==","signature_status":"signed_v1","signed_at":"2026-06-09T01:05:41.372861Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.08609","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:34eece2a3c5293649dd60397940c1c6d8d1da31849381945928a3d8e5c5629f4","sha256:0e2f8946f509d99439b8f7b35a5bdfc65660dcf7ab42d232923eb325cd1306cb"],"state_sha256":"c3669dc29e18f31c163328f5600d43e13483065e6a0d63ea1d4ada2af23670c2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+g5sPkN0lX7maIkmGUuDvxZDwFS9mPJ/WwSEv6MMrlLDvILPkT5ab5Sa5etVAi/LNr5Xlytew/FmKn3Xh655BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T17:25:30.232610Z","bundle_sha256":"7b8e0cce1771d1d974eaac26f1e05bb633cb5fbfb768a5a3b5b6910a4b531012"}}