{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:FJ3H7B2VKSJVDWQ5MFFUNUXZEQ","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":"a0d270d9024af24cde015b164eae4cf60a3de925e0be0f4003b57e6eb1bf66de","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-12-13T19:00:01Z","title_canon_sha256":"59aa470a1082ad29353aa2651714f04281177048a454ebc91a21cb8ea0cbd7dd"},"schema_version":"1.0","source":{"id":"2312.08438","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.08438","created_at":"2026-07-05T09:13:48Z"},{"alias_kind":"arxiv_version","alias_value":"2312.08438v1","created_at":"2026-07-05T09:13:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.08438","created_at":"2026-07-05T09:13:48Z"},{"alias_kind":"pith_short_12","alias_value":"FJ3H7B2VKSJV","created_at":"2026-07-05T09:13:48Z"},{"alias_kind":"pith_short_16","alias_value":"FJ3H7B2VKSJVDWQ5","created_at":"2026-07-05T09:13:48Z"},{"alias_kind":"pith_short_8","alias_value":"FJ3H7B2V","created_at":"2026-07-05T09:13:48Z"}],"graph_snapshots":[{"event_id":"sha256:301ca62fd4866b9174c168670f7fc087a97cd0af806972e23b966951db811579","target":"graph","created_at":"2026-07-05T09:13:48Z","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/2312.08438/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we discuss dilaton shifts (Euler counterterms) arising in decomposition of two-dimensional quantum field theories with higher-form symmetries. These take a universal form, reflecting underlying (noninvertible, quantum) symmetries. The first part of this paper constructs a general formula for such dilaton shifts, and discusses related computations. In the second part of this paper, we comment on the relation between decomposition and ensembles.","authors_text":"E. Sharpe","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-12-13T19:00:01Z","title":"Dilaton shifts, probability measures, and decomposition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.08438","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":"sha256:04aeb34277470822e89a82a821b1a94b4a6246da1b949b09f7d025b1db0a20d4","target":"record","created_at":"2026-07-05T09:13:48Z","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":"a0d270d9024af24cde015b164eae4cf60a3de925e0be0f4003b57e6eb1bf66de","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-12-13T19:00:01Z","title_canon_sha256":"59aa470a1082ad29353aa2651714f04281177048a454ebc91a21cb8ea0cbd7dd"},"schema_version":"1.0","source":{"id":"2312.08438","kind":"arxiv","version":1}},"canonical_sha256":"2a767f8755549351da1d614b46d2f9243e61261b4a20890519fe2c7c3b0e18f8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2a767f8755549351da1d614b46d2f9243e61261b4a20890519fe2c7c3b0e18f8","first_computed_at":"2026-07-05T09:13:48.773959Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:13:48.773959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CvLrhpoTmzKxN4qeq0AjLn7xZOyhfKdtNBODXdcm4qU9QkVlN0nDbvzDyuYtXlulJ+8VzRPoT3mIvFvPFAx1DA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:13:48.774407Z","signed_message":"canonical_sha256_bytes"},"source_id":"2312.08438","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:04aeb34277470822e89a82a821b1a94b4a6246da1b949b09f7d025b1db0a20d4","sha256:301ca62fd4866b9174c168670f7fc087a97cd0af806972e23b966951db811579"],"state_sha256":"48691df9ae3795f7d995a99f8b59dccb32afa1a8a96faf309dc2e70a0826c169"}