{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:P7QS34XVJQYSSVLHPGLFOVKV7Q","short_pith_number":"pith:P7QS34XV","canonical_record":{"source":{"id":"1712.05917","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-12-16T08:11:04Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"1232a20a898615454b21271e7949ec7e8d01b8ff6ce38d387f68bfa2f35520ac","abstract_canon_sha256":"f4dd775861acfef7fca06aabc8b3a879743e03ee42f018ddebf22cc5647ec7e8"},"schema_version":"1.0"},"canonical_sha256":"7fe12df2f54c312955677996575555fc22ed329d10d6841e034b190671c3820e","source":{"kind":"arxiv","id":"1712.05917","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.05917","created_at":"2026-05-18T00:18:14Z"},{"alias_kind":"arxiv_version","alias_value":"1712.05917v1","created_at":"2026-05-18T00:18:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.05917","created_at":"2026-05-18T00:18:14Z"},{"alias_kind":"pith_short_12","alias_value":"P7QS34XVJQYS","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"P7QS34XVJQYSSVLH","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"P7QS34XV","created_at":"2026-05-18T12:31:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:P7QS34XVJQYSSVLHPGLFOVKV7Q","target":"record","payload":{"canonical_record":{"source":{"id":"1712.05917","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-12-16T08:11:04Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"1232a20a898615454b21271e7949ec7e8d01b8ff6ce38d387f68bfa2f35520ac","abstract_canon_sha256":"f4dd775861acfef7fca06aabc8b3a879743e03ee42f018ddebf22cc5647ec7e8"},"schema_version":"1.0"},"canonical_sha256":"7fe12df2f54c312955677996575555fc22ed329d10d6841e034b190671c3820e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:18:14.499625Z","signature_b64":"zTbs0XN5HvJ11Wu38MsGRHr7/23SoElERsMwa1JhaQ8sQck4ipVYtvhH41YuoA3VPjYaW1j/Dv3o+JFF1x9rBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7fe12df2f54c312955677996575555fc22ed329d10d6841e034b190671c3820e","last_reissued_at":"2026-05-18T00:18:14.499177Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:18:14.499177Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.05917","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":"2026-05-18T00:18:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OrqfC22D7kkInTsEhJRSjxFFZteIE9IpGqwrDI627IMNN4fb/K1PSjZzKSwe/QHWECqRhyaIqrRyVS3le0Z4DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T14:40:32.887195Z"},"content_sha256":"1eefc2febf9ce1fc848f1a0a186ec6326c8af026264ac51ddbb2064e23533d96","schema_version":"1.0","event_id":"sha256:1eefc2febf9ce1fc848f1a0a186ec6326c8af026264ac51ddbb2064e23533d96"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:P7QS34XVJQYSSVLHPGLFOVKV7Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Diagram Reduction in Problem of Critical Dynamics of Ferromagnets: 4-Loop Approximation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"cond-mat.stat-mech","authors_text":"E. V. Ivanova, L. Ts. Adzhemyan, M. V. Kompaniets, S. Ye. Vorobyeva","submitted_at":"2017-12-16T08:11:04Z","abstract_excerpt":"Within the framework of the renormalization group approach to the models of critical dynamics, we propose a method for a considerable reduction of the number of integrals needed to calculate the critical exponents. With this method we perform a calculation of the critical exponent $z$ of model A at 4-loop level, where our method allows to reduce number of integrals from 66 to 17. The way of constructing the integrand in Feynman representation of such diagrams is discussed. Integrals were estimated numerically with Sector Decomposition technique."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.05917","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":""},"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":"2026-05-18T00:18:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e2th3/4Z5GnDgPplLEKHW+rIWJnKLgwDAxHQFw7ho9vSlabK2P6UMHibU00aZ5wwHZVXhNXiKO4Qdo4b0apaAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T14:40:32.887537Z"},"content_sha256":"4befa74952c8a8a2d2065a0f8cf8a7fb750e3c83ab952de82ec8a88983c571d8","schema_version":"1.0","event_id":"sha256:4befa74952c8a8a2d2065a0f8cf8a7fb750e3c83ab952de82ec8a88983c571d8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P7QS34XVJQYSSVLHPGLFOVKV7Q/bundle.json","state_url":"https://pith.science/pith/P7QS34XVJQYSSVLHPGLFOVKV7Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P7QS34XVJQYSSVLHPGLFOVKV7Q/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":"2026-06-22T14:40:32Z","links":{"resolver":"https://pith.science/pith/P7QS34XVJQYSSVLHPGLFOVKV7Q","bundle":"https://pith.science/pith/P7QS34XVJQYSSVLHPGLFOVKV7Q/bundle.json","state":"https://pith.science/pith/P7QS34XVJQYSSVLHPGLFOVKV7Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P7QS34XVJQYSSVLHPGLFOVKV7Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:P7QS34XVJQYSSVLHPGLFOVKV7Q","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":"f4dd775861acfef7fca06aabc8b3a879743e03ee42f018ddebf22cc5647ec7e8","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-12-16T08:11:04Z","title_canon_sha256":"1232a20a898615454b21271e7949ec7e8d01b8ff6ce38d387f68bfa2f35520ac"},"schema_version":"1.0","source":{"id":"1712.05917","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.05917","created_at":"2026-05-18T00:18:14Z"},{"alias_kind":"arxiv_version","alias_value":"1712.05917v1","created_at":"2026-05-18T00:18:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.05917","created_at":"2026-05-18T00:18:14Z"},{"alias_kind":"pith_short_12","alias_value":"P7QS34XVJQYS","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"P7QS34XVJQYSSVLH","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"P7QS34XV","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:4befa74952c8a8a2d2065a0f8cf8a7fb750e3c83ab952de82ec8a88983c571d8","target":"graph","created_at":"2026-05-18T00:18:14Z","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"},"paper":{"abstract_excerpt":"Within the framework of the renormalization group approach to the models of critical dynamics, we propose a method for a considerable reduction of the number of integrals needed to calculate the critical exponents. With this method we perform a calculation of the critical exponent $z$ of model A at 4-loop level, where our method allows to reduce number of integrals from 66 to 17. The way of constructing the integrand in Feynman representation of such diagrams is discussed. Integrals were estimated numerically with Sector Decomposition technique.","authors_text":"E. V. Ivanova, L. Ts. Adzhemyan, M. V. Kompaniets, S. Ye. Vorobyeva","cross_cats":["nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-12-16T08:11:04Z","title":"Diagram Reduction in Problem of Critical Dynamics of Ferromagnets: 4-Loop Approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.05917","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":"sha256:1eefc2febf9ce1fc848f1a0a186ec6326c8af026264ac51ddbb2064e23533d96","target":"record","created_at":"2026-05-18T00:18:14Z","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":"f4dd775861acfef7fca06aabc8b3a879743e03ee42f018ddebf22cc5647ec7e8","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-12-16T08:11:04Z","title_canon_sha256":"1232a20a898615454b21271e7949ec7e8d01b8ff6ce38d387f68bfa2f35520ac"},"schema_version":"1.0","source":{"id":"1712.05917","kind":"arxiv","version":1}},"canonical_sha256":"7fe12df2f54c312955677996575555fc22ed329d10d6841e034b190671c3820e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7fe12df2f54c312955677996575555fc22ed329d10d6841e034b190671c3820e","first_computed_at":"2026-05-18T00:18:14.499177Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:14.499177Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zTbs0XN5HvJ11Wu38MsGRHr7/23SoElERsMwa1JhaQ8sQck4ipVYtvhH41YuoA3VPjYaW1j/Dv3o+JFF1x9rBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:14.499625Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.05917","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1eefc2febf9ce1fc848f1a0a186ec6326c8af026264ac51ddbb2064e23533d96","sha256:4befa74952c8a8a2d2065a0f8cf8a7fb750e3c83ab952de82ec8a88983c571d8"],"state_sha256":"ba51c3cf2048eefbc0bd11325fc45a53c4c998b06562e713b2da00a637040584"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BTOEMVEVUOti0PGAEm9XS4AKpXjHZUEdrCHyrIRB5UIYhC51FSTd7WF+21fqG3QfDXGvMU5A925g8VkVYNaKCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T14:40:32.889340Z","bundle_sha256":"82b01ce66a3035cca1dc2631689851c0a3880734fea7a989510c7a41159a0d1d"}}