{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:ES5RORW55VVXVC6LM7FQP5Q2M3","merge_version":"pith-open-graph-merge-v1","event_count":3,"valid_event_count":3,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"49763d2ecf4b6d5886de26a75d4019a2d13c1a0a08bc294d775c837bb80177c3","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-08-03T09:50:42Z","title_canon_sha256":"1d6bf20ae4bb65cce92d9d6c297b8912777d9724c5b90c8999d2eff6bcc59ccc"},"schema_version":"1.0","source":{"id":"2608.01989","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.01989","created_at":"2026-08-04T02:10:27Z"},{"alias_kind":"arxiv_version","alias_value":"2608.01989v1","created_at":"2026-08-04T02:10:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.01989","created_at":"2026-08-04T02:10:27Z"},{"alias_kind":"pith_short_12","alias_value":"ES5RORW55VVX","created_at":"2026-08-04T02:10:27Z"},{"alias_kind":"pith_short_16","alias_value":"ES5RORW55VVXVC6L","created_at":"2026-08-04T02:10:27Z"},{"alias_kind":"pith_short_8","alias_value":"ES5RORW5","created_at":"2026-08-04T02:10:27Z"}],"graph_snapshots":[{"event_id":"sha256:29994d265133417208a341cfc449b71620373c1d0c3dc9336bf817d87e313f34","target":"graph","created_at":"2026-08-04T02:10:27Z","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/2608.01989/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A conservation-law-guided classification framework is developed for the execution of coarse-graining operations in quantum field theory. Coarse-graining produces a selection at the level of Feynman diagrams. Diagrams with nonzero momentum transfer are suppressed by oscillatory factors, zero-momentum-transfer ladder diagrams can accumulate through geometric series resummation to produce a spectral pole, and single-bubble topologies contribute only to the continuum. Conservation laws govern this classification. For operators protected by a Ward identity, the matrix element at zero momentum is gu","authors_text":"Jinku Guo","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-08-03T09:50:42Z","title":"Coarse-Graining and the Classification of Long-Range Correlations in Quantum Field Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.01989","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:c86a0205e688bf18c3f5d24dc5be21c4d2b05acc2744cb2d27986f3634d9258d","target":"record","created_at":"2026-08-04T02:10:27Z","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":"49763d2ecf4b6d5886de26a75d4019a2d13c1a0a08bc294d775c837bb80177c3","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-08-03T09:50:42Z","title_canon_sha256":"1d6bf20ae4bb65cce92d9d6c297b8912777d9724c5b90c8999d2eff6bcc59ccc"},"schema_version":"1.0","source":{"id":"2608.01989","kind":"arxiv","version":1}},"canonical_sha256":"24bb1746dded6b7a8bcb67cb07f61a66f2d46fec7908168c3699271df2b9103a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"24bb1746dded6b7a8bcb67cb07f61a66f2d46fec7908168c3699271df2b9103a","first_computed_at":"2026-08-04T02:10:27.006461Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-04T02:10:27.006461Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"md+YFKGjLkxybCxnn0Tu/CNY+Z+py0kvyZyyl82WHyF9whUqY9NRrjaifWjj58TMp0QSoXOZacTFOWP6pCpIDg==","signature_status":"signed_v1","signed_at":"2026-08-04T02:10:27.008672Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.01989","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c86a0205e688bf18c3f5d24dc5be21c4d2b05acc2744cb2d27986f3634d9258d","sha256:29994d265133417208a341cfc449b71620373c1d0c3dc9336bf817d87e313f34","sha256:ac11e1182a8bbb0f8380cfa9b40386993f79de688d213e18a44be47eddceff6b"],"state_sha256":"f762e23d11c5f589c26663dd9fafca41d310b1102fec33b4cf4a4d5eecb67078"}