{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:I4AHVYPXVJDHXRGRZUZWV6J4X4","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":"6686f3bdd3e12e1deea8852ab9337ae236b8c6a430c4e2f193f1984c44b4b074","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-07-05T01:39:42Z","title_canon_sha256":"ce527375f31ad04df21bbf78ff4fdbd7c60b7730745dbdd1ae0646bab0940f65"},"schema_version":"1.0","source":{"id":"2107.01755","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2107.01755","created_at":"2026-07-05T03:28:20Z"},{"alias_kind":"arxiv_version","alias_value":"2107.01755v2","created_at":"2026-07-05T03:28:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2107.01755","created_at":"2026-07-05T03:28:20Z"},{"alias_kind":"pith_short_12","alias_value":"I4AHVYPXVJDH","created_at":"2026-07-05T03:28:20Z"},{"alias_kind":"pith_short_16","alias_value":"I4AHVYPXVJDHXRGR","created_at":"2026-07-05T03:28:20Z"},{"alias_kind":"pith_short_8","alias_value":"I4AHVYPX","created_at":"2026-07-05T03:28:20Z"}],"graph_snapshots":[{"event_id":"sha256:588a6f8b9030b56fd9b1c7ff966638896103c046f3d57acaaf17839978bef0f5","target":"graph","created_at":"2026-07-05T03:28:20Z","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/2107.01755/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show how a class of multi-field scalar-field theories in a Lorentz-breaking background imposes consistency conditions on its effective theory of a single field and provides an example of order-unity violation of a naively applied positivity bound, assuming a large hierarchy between the masses of the lightest field and the others.","authors_text":"Katsuki Aoki, Ryo Namba, Shinji Mukohyama","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-07-05T01:39:42Z","title":"Positivity vs. Lorentz-violation: an explicit example"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.01755","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":"sha256:37ef8dba45673218db95c075f7f33db0851952251af5d9f3f3fc33ddc52102c3","target":"record","created_at":"2026-07-05T03:28:20Z","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":"6686f3bdd3e12e1deea8852ab9337ae236b8c6a430c4e2f193f1984c44b4b074","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-07-05T01:39:42Z","title_canon_sha256":"ce527375f31ad04df21bbf78ff4fdbd7c60b7730745dbdd1ae0646bab0940f65"},"schema_version":"1.0","source":{"id":"2107.01755","kind":"arxiv","version":2}},"canonical_sha256":"47007ae1f7aa467bc4d1cd336af93cbf0b94850c0b2ae62c95e342ea7e91cf5a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"47007ae1f7aa467bc4d1cd336af93cbf0b94850c0b2ae62c95e342ea7e91cf5a","first_computed_at":"2026-07-05T03:28:20.677576Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:28:20.677576Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nu1QmJYsywCV9C87ueTwftT85BrdwDo35ZeMnc7tYjt844d+QTQTnY9OD+idHzCH3UUbqxlNQbhtUudBVrgnBg==","signature_status":"signed_v1","signed_at":"2026-07-05T03:28:20.678175Z","signed_message":"canonical_sha256_bytes"},"source_id":"2107.01755","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:37ef8dba45673218db95c075f7f33db0851952251af5d9f3f3fc33ddc52102c3","sha256:588a6f8b9030b56fd9b1c7ff966638896103c046f3d57acaaf17839978bef0f5"],"state_sha256":"856f0555c9734faa7fb5a74e0661edb25e91c2fffa62031eefb8e7cce5080881"}