{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:EWBKGRF4VYC73YHEP3CLQ2RPFZ","short_pith_number":"pith:EWBKGRF4","canonical_record":{"source":{"id":"2607.08814","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-07-09T18:00:00Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"f8456291e93886db303a70ff3c8fe33ce29a9da42f52eabe6c70911eb22553a9","abstract_canon_sha256":"cee4c0209083724dad9884dab6ce543d2ad3fae740999115b7db2c8e3d2e03bc"},"schema_version":"1.0"},"canonical_sha256":"2582a344bcae05fde0e47ec4b86a2f2e5166ed034f382fc1206752f99216a392","source":{"kind":"arxiv","id":"2607.08814","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.08814","created_at":"2026-07-13T00:17:18Z"},{"alias_kind":"arxiv_version","alias_value":"2607.08814v1","created_at":"2026-07-13T00:17:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.08814","created_at":"2026-07-13T00:17:18Z"},{"alias_kind":"pith_short_12","alias_value":"EWBKGRF4VYC7","created_at":"2026-07-13T00:17:18Z"},{"alias_kind":"pith_short_16","alias_value":"EWBKGRF4VYC73YHE","created_at":"2026-07-13T00:17:18Z"},{"alias_kind":"pith_short_8","alias_value":"EWBKGRF4","created_at":"2026-07-13T00:17:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:EWBKGRF4VYC73YHEP3CLQ2RPFZ","target":"record","payload":{"canonical_record":{"source":{"id":"2607.08814","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-07-09T18:00:00Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"f8456291e93886db303a70ff3c8fe33ce29a9da42f52eabe6c70911eb22553a9","abstract_canon_sha256":"cee4c0209083724dad9884dab6ce543d2ad3fae740999115b7db2c8e3d2e03bc"},"schema_version":"1.0"},"canonical_sha256":"2582a344bcae05fde0e47ec4b86a2f2e5166ed034f382fc1206752f99216a392","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-13T00:17:18.665513Z","signature_b64":"zw2wopjEjIV9hSOwBTtztAX3la0NHSPdG0iM0uOYOw3Dpvc1NOAHdGbgWs9d497tWvQ87b19gbcsrBCIC09pBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2582a344bcae05fde0e47ec4b86a2f2e5166ed034f382fc1206752f99216a392","last_reissued_at":"2026-07-13T00:17:18.664481Z","signature_status":"signed_v1","first_computed_at":"2026-07-13T00:17:18.664481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.08814","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":"2026-07-13T00:17:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pgHbKOymottQPXKxvrE/FjJVsmHWCJlGz8NbiNNyubzQ96TvuiSezFyWiAvMrGTSKTgiFbhh01ToJBjM17XCDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-22T13:01:07.262915Z"},"content_sha256":"6e5d775708f43a87cd2c82d7515ef38d1ca7ff8ae612e0cb4b56f1bd55e9bd36","schema_version":"1.0","event_id":"sha256:6e5d775708f43a87cd2c82d7515ef38d1ca7ff8ae612e0cb4b56f1bd55e9bd36"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:EWBKGRF4VYC73YHEP3CLQ2RPFZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Minimal High-Quality QCD Axion","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Mario Fern\\'andez Navarro","submitted_at":"2026-07-09T18:00:00Z","abstract_excerpt":"The canonical QCD axion is minimal but not high quality. We identify a minimal high-quality QCD axion, in which the Peccei-Quinn symmetry emerges as a gauge-origin boundary remnant of five-dimensional $U(1)$ gauge invariance on a flat interval, and the axion is the surviving Wilson-line phase. QCD and the Standard Model remain four-dimensional, retaining much of the simplicity of KSVZ/DFSZ anomaly sectors. The construction requires no bulk QCD, warping, or color Chern-Simons term, yet retains exponential quality protection. Thus axion quality is compatible with minimality."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.08814","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/2607.08814/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":"2026-07-13T00:17:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4radZQ9+EuYGSULmlcP81mw15giAqBStB2elHpKnpzPz+/oT8olgx0r0b30cp5GQUvaaPCc0J7mbLqrtHSYCBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-22T13:01:07.263289Z"},"content_sha256":"c0c8714319bbece2e8cf37fa65f05ac74c7b68252c011749e806895b6d02e0fd","schema_version":"1.0","event_id":"sha256:c0c8714319bbece2e8cf37fa65f05ac74c7b68252c011749e806895b6d02e0fd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EWBKGRF4VYC73YHEP3CLQ2RPFZ/bundle.json","state_url":"https://pith.science/pith/EWBKGRF4VYC73YHEP3CLQ2RPFZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EWBKGRF4VYC73YHEP3CLQ2RPFZ/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":"2026-07-22T13:01:07Z","links":{"resolver":"https://pith.science/pith/EWBKGRF4VYC73YHEP3CLQ2RPFZ","bundle":"https://pith.science/pith/EWBKGRF4VYC73YHEP3CLQ2RPFZ/bundle.json","state":"https://pith.science/pith/EWBKGRF4VYC73YHEP3CLQ2RPFZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EWBKGRF4VYC73YHEP3CLQ2RPFZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:EWBKGRF4VYC73YHEP3CLQ2RPFZ","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":"cee4c0209083724dad9884dab6ce543d2ad3fae740999115b7db2c8e3d2e03bc","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-07-09T18:00:00Z","title_canon_sha256":"f8456291e93886db303a70ff3c8fe33ce29a9da42f52eabe6c70911eb22553a9"},"schema_version":"1.0","source":{"id":"2607.08814","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.08814","created_at":"2026-07-13T00:17:18Z"},{"alias_kind":"arxiv_version","alias_value":"2607.08814v1","created_at":"2026-07-13T00:17:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.08814","created_at":"2026-07-13T00:17:18Z"},{"alias_kind":"pith_short_12","alias_value":"EWBKGRF4VYC7","created_at":"2026-07-13T00:17:18Z"},{"alias_kind":"pith_short_16","alias_value":"EWBKGRF4VYC73YHE","created_at":"2026-07-13T00:17:18Z"},{"alias_kind":"pith_short_8","alias_value":"EWBKGRF4","created_at":"2026-07-13T00:17:18Z"}],"graph_snapshots":[{"event_id":"sha256:c0c8714319bbece2e8cf37fa65f05ac74c7b68252c011749e806895b6d02e0fd","target":"graph","created_at":"2026-07-13T00:17:18Z","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/2607.08814/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The canonical QCD axion is minimal but not high quality. We identify a minimal high-quality QCD axion, in which the Peccei-Quinn symmetry emerges as a gauge-origin boundary remnant of five-dimensional $U(1)$ gauge invariance on a flat interval, and the axion is the surviving Wilson-line phase. QCD and the Standard Model remain four-dimensional, retaining much of the simplicity of KSVZ/DFSZ anomaly sectors. The construction requires no bulk QCD, warping, or color Chern-Simons term, yet retains exponential quality protection. Thus axion quality is compatible with minimality.","authors_text":"Mario Fern\\'andez Navarro","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-07-09T18:00:00Z","title":"The Minimal High-Quality QCD Axion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.08814","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":"sha256:6e5d775708f43a87cd2c82d7515ef38d1ca7ff8ae612e0cb4b56f1bd55e9bd36","target":"record","created_at":"2026-07-13T00:17:18Z","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":"cee4c0209083724dad9884dab6ce543d2ad3fae740999115b7db2c8e3d2e03bc","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-07-09T18:00:00Z","title_canon_sha256":"f8456291e93886db303a70ff3c8fe33ce29a9da42f52eabe6c70911eb22553a9"},"schema_version":"1.0","source":{"id":"2607.08814","kind":"arxiv","version":1}},"canonical_sha256":"2582a344bcae05fde0e47ec4b86a2f2e5166ed034f382fc1206752f99216a392","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2582a344bcae05fde0e47ec4b86a2f2e5166ed034f382fc1206752f99216a392","first_computed_at":"2026-07-13T00:17:18.664481Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-13T00:17:18.664481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zw2wopjEjIV9hSOwBTtztAX3la0NHSPdG0iM0uOYOw3Dpvc1NOAHdGbgWs9d497tWvQ87b19gbcsrBCIC09pBg==","signature_status":"signed_v1","signed_at":"2026-07-13T00:17:18.665513Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.08814","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6e5d775708f43a87cd2c82d7515ef38d1ca7ff8ae612e0cb4b56f1bd55e9bd36","sha256:c0c8714319bbece2e8cf37fa65f05ac74c7b68252c011749e806895b6d02e0fd"],"state_sha256":"21cf70a59e1d8c55665b7a4cb33ffb4504b635674b98460a79c480d5eb630c42"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/sJxYkeBZXPv8nM5YjHQvrnKitGYLmERGx4gUolLI6ZnzUonl9R97XAIcCzTQRPlnkvdEv2+DZdfivJh6nBTBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-22T13:01:07.265489Z","bundle_sha256":"63fb807ae3b76c2956ba8d009b34f91c7c32e80e31b3a128152e966489ef8fb7"}}