{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:ES5RORW55VVXVC6LM7FQP5Q2M3","short_pith_number":"pith:ES5RORW5","canonical_record":{"source":{"id":"2608.01989","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-08-03T09:50:42Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"1d6bf20ae4bb65cce92d9d6c297b8912777d9724c5b90c8999d2eff6bcc59ccc","abstract_canon_sha256":"49763d2ecf4b6d5886de26a75d4019a2d13c1a0a08bc294d775c837bb80177c3"},"schema_version":"1.0"},"canonical_sha256":"24bb1746dded6b7a8bcb67cb07f61a66f2d46fec7908168c3699271df2b9103a","source":{"kind":"arxiv","id":"2608.01989","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:ES5RORW55VVXVC6LM7FQP5Q2M3","target":"record","payload":{"canonical_record":{"source":{"id":"2608.01989","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-08-03T09:50:42Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"1d6bf20ae4bb65cce92d9d6c297b8912777d9724c5b90c8999d2eff6bcc59ccc","abstract_canon_sha256":"49763d2ecf4b6d5886de26a75d4019a2d13c1a0a08bc294d775c837bb80177c3"},"schema_version":"1.0"},"canonical_sha256":"24bb1746dded6b7a8bcb67cb07f61a66f2d46fec7908168c3699271df2b9103a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-04T02:10:27.008672Z","signature_b64":"md+YFKGjLkxybCxnn0Tu/CNY+Z+py0kvyZyyl82WHyF9whUqY9NRrjaifWjj58TMp0QSoXOZacTFOWP6pCpIDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"24bb1746dded6b7a8bcb67cb07f61a66f2d46fec7908168c3699271df2b9103a","last_reissued_at":"2026-08-04T02:10:27.006461Z","signature_status":"signed_v1","first_computed_at":"2026-08-04T02:10:27.006461Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2608.01989","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":"2026-08-04T02:10:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jH/BvVk8jibpVwilv4ZHu3xGgbmQNcU4Qd1PUz8LrEh+TxXA3xxSSZqoFHREfKhJIsReL35q7NAZ/Nv6H46cCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T02:04:07.343897Z"},"content_sha256":"c86a0205e688bf18c3f5d24dc5be21c4d2b05acc2744cb2d27986f3634d9258d","schema_version":"1.0","event_id":"sha256:c86a0205e688bf18c3f5d24dc5be21c4d2b05acc2744cb2d27986f3634d9258d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:ES5RORW55VVXVC6LM7FQP5Q2M3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Coarse-Graining and the Classification of Long-Range Correlations in Quantum Field Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"hep-th","authors_text":"Jinku Guo","submitted_at":"2026-08-03T09:50:42Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.01989","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/2608.01989/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":"2026-08-04T02:10:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KEUXj39czYXK75oY6aMvKKLl3IGuQl38n6NDV88FWkI8iH6amLHJur582m+csUfh+6JKwNNzd8YxSgtsUge4BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T02:04:07.344393Z"},"content_sha256":"29994d265133417208a341cfc449b71620373c1d0c3dc9336bf817d87e313f34","schema_version":"1.0","event_id":"sha256:29994d265133417208a341cfc449b71620373c1d0c3dc9336bf817d87e313f34"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:ES5RORW55VVXVC6LM7FQP5Q2M3","target":"integrity","payload":{"note":"Identifier '10.1007/978-3-319-09539-6' is syntactically valid but the DOI registry (doi.org) returned 404, and Crossref / OpenAlex / internal corpus also have no record. The cited work could not be located through any authoritative source.","snippet":"I.G. Avramidi,Heat kernel method and its applications, Birkh¨ auser (2015), 10.1007/978-3-319-09539-6","arxiv_id":"2608.01989","detector":"doi_compliance","evidence":{"doi":"10.1007/978-3-319-09539-6","arxiv_id":null,"ref_index":14,"raw_excerpt":"I.G. Avramidi,Heat kernel method and its applications, Birkh¨ auser (2015), 10.1007/978-3-319-09539-6","parse_status":"well_formed","verdict_class":"cross_source","checked_sources":["crossref_by_doi","openalex_by_doi","doi_org_head"],"resolution_status":"hard_miss"},"severity":"critical","ref_index":14,"audited_at":"2026-08-04T17:18:10.768739Z","event_type":"pith.integrity.v1","detected_doi":"10.1007/978-3-319-09539-6","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"unresolvable_identifier","evidence_hash":"1885a5673a8eb2af416f355931b94a0bb60a35d7361618d03a719edbe8872e88","paper_version":1,"verdict_class":"cross_source","resolved_title":null,"detector_version":"1.1.0","detected_arxiv_id":null,"integrity_event_id":17917,"payload_sha256":"b2ea5b99e22bef3d2d19e06a005d9994cc32c7670de7e4b07d25bb1523f44fc2","signature_b64":"e5fnT7Dgb5ggvgQJOOpaxyNz6UTnEXdq5Mxa9JnYTDCOs+mXx+RzTSqTbI7dGLgjNwapu1whOTRo600DFcg8Dw==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-08-04T17:18:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tZxuAA8m/w6D32Wq0meBK8csEwICyPX+yzPsvWqxZCNtDfbgLpoa6qF2xq86A1gZeyDGXNfFDFnyUHk+JEnJBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T02:04:07.348403Z"},"content_sha256":"ac11e1182a8bbb0f8380cfa9b40386993f79de688d213e18a44be47eddceff6b","schema_version":"1.0","event_id":"sha256:ac11e1182a8bbb0f8380cfa9b40386993f79de688d213e18a44be47eddceff6b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ES5RORW55VVXVC6LM7FQP5Q2M3/bundle.json","state_url":"https://pith.science/pith/ES5RORW55VVXVC6LM7FQP5Q2M3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ES5RORW55VVXVC6LM7FQP5Q2M3/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":"2026-08-05T02:04:07Z","links":{"resolver":"https://pith.science/pith/ES5RORW55VVXVC6LM7FQP5Q2M3","bundle":"https://pith.science/pith/ES5RORW55VVXVC6LM7FQP5Q2M3/bundle.json","state":"https://pith.science/pith/ES5RORW55VVXVC6LM7FQP5Q2M3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ES5RORW55VVXVC6LM7FQP5Q2M3/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6jj7ANn9+hS48QLk36aPhduf+L1nKlXc8RktR7mYJG5mOe6y4Cwl46UGYIILa7mIYh9Jib3pNrFDn188Qg3iDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T02:04:07.350622Z","bundle_sha256":"d219e357479f49c919fcafed059199187382de33783a2b4a3c287b60c68d500d"}}