{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:3WLEDKENSRBVWTNCLQ2JHJH3XL","short_pith_number":"pith:3WLEDKEN","canonical_record":{"source":{"id":"0809.1289","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2008-09-08T08:14:12Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"195647b4020164431602a0855825f7f3b233fa640a885d7744a450a17071b293","abstract_canon_sha256":"49e34e8e55eb8e947535edf60d57f6c59e1067f9ff8d6761389568dc933deb0f"},"schema_version":"1.0"},"canonical_sha256":"dd9641a88d94435b4da25c3493a4fbbae7949c0dcf5e3e19d214f8e559533f03","source":{"kind":"arxiv","id":"0809.1289","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0809.1289","created_at":"2026-07-05T06:58:34Z"},{"alias_kind":"arxiv_version","alias_value":"0809.1289v1","created_at":"2026-07-05T06:58:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0809.1289","created_at":"2026-07-05T06:58:34Z"},{"alias_kind":"pith_short_12","alias_value":"3WLEDKENSRBV","created_at":"2026-07-05T06:58:34Z"},{"alias_kind":"pith_short_16","alias_value":"3WLEDKENSRBVWTNC","created_at":"2026-07-05T06:58:34Z"},{"alias_kind":"pith_short_8","alias_value":"3WLEDKEN","created_at":"2026-07-05T06:58:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:3WLEDKENSRBVWTNCLQ2JHJH3XL","target":"record","payload":{"canonical_record":{"source":{"id":"0809.1289","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2008-09-08T08:14:12Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"195647b4020164431602a0855825f7f3b233fa640a885d7744a450a17071b293","abstract_canon_sha256":"49e34e8e55eb8e947535edf60d57f6c59e1067f9ff8d6761389568dc933deb0f"},"schema_version":"1.0"},"canonical_sha256":"dd9641a88d94435b4da25c3493a4fbbae7949c0dcf5e3e19d214f8e559533f03","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:58:34.127900Z","signature_b64":"8Jba5dzF7cIGnMKp+G5WIDtV90rNoSYBneC3KlCg1BpRAQNFLrWw6pnmPFNeE0IChV/EER7JS/5gggpMxQ3IAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dd9641a88d94435b4da25c3493a4fbbae7949c0dcf5e3e19d214f8e559533f03","last_reissued_at":"2026-07-05T06:58:34.127362Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:58:34.127362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0809.1289","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":"2026-07-05T06:58:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oOdEZ3r/5gf3KaRW4snJ8p50TUWbNg0muCDUnUPWkagm9u4Y43DzHyT1AwPca3bf29jWaUn4P1FRtYg3XnHgAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T06:13:03.705162Z"},"content_sha256":"0f30d876ff8d9d4522d85054a32005984cd6b9438f9970c496596aae4836262f","schema_version":"1.0","event_id":"sha256:0f30d876ff8d9d4522d85054a32005984cd6b9438f9970c496596aae4836262f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:3WLEDKENSRBVWTNCLQ2JHJH3XL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Renormalization group in the infinite-dimensional turbulence: third-order results","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"nlin.CD","authors_text":"L. Ts. Adzhemyan, M. V. Kompaniets, N. V. Antonov, P. B. Gol'din, T. L. Kim","submitted_at":"2008-09-08T08:14:12Z","abstract_excerpt":"The field theoretic renormalization group is applied to the stochastic Navier-Stokes equation with the stirring force correlator of the form k^(4-d-2\\epsilon) in the d-dimensional space, in connection with the problem of construction of the 1/d expansion for the fully developed fluid turbulence beyond the scope of the standard epsilon expansion. It is shown that in the large-d limit the number of the Feynman diagrams for the Green function (linear response function) decreases drastically, and the technique of their analytical calculation is developed. The main ingredients of the renormalizatio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0809.1289","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/0809.1289/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":"2026-07-05T06:58:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JfJWMygSFwfnhRU2ANWUSclfzCYIZkFGGdFWh+RM7mqRzCQ/g8fs8wNVWtpFYEnnOW2xhRhb3bjr7P5yUs/JDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T06:13:03.705669Z"},"content_sha256":"48f2760d57dbc2bbbf15ba70900820f27c2ade2fd8b8a4adfb898be1e1f59aac","schema_version":"1.0","event_id":"sha256:48f2760d57dbc2bbbf15ba70900820f27c2ade2fd8b8a4adfb898be1e1f59aac"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3WLEDKENSRBVWTNCLQ2JHJH3XL/bundle.json","state_url":"https://pith.science/pith/3WLEDKENSRBVWTNCLQ2JHJH3XL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3WLEDKENSRBVWTNCLQ2JHJH3XL/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":"2026-08-12T06:13:03Z","links":{"resolver":"https://pith.science/pith/3WLEDKENSRBVWTNCLQ2JHJH3XL","bundle":"https://pith.science/pith/3WLEDKENSRBVWTNCLQ2JHJH3XL/bundle.json","state":"https://pith.science/pith/3WLEDKENSRBVWTNCLQ2JHJH3XL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3WLEDKENSRBVWTNCLQ2JHJH3XL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:3WLEDKENSRBVWTNCLQ2JHJH3XL","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":"49e34e8e55eb8e947535edf60d57f6c59e1067f9ff8d6761389568dc933deb0f","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2008-09-08T08:14:12Z","title_canon_sha256":"195647b4020164431602a0855825f7f3b233fa640a885d7744a450a17071b293"},"schema_version":"1.0","source":{"id":"0809.1289","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0809.1289","created_at":"2026-07-05T06:58:34Z"},{"alias_kind":"arxiv_version","alias_value":"0809.1289v1","created_at":"2026-07-05T06:58:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0809.1289","created_at":"2026-07-05T06:58:34Z"},{"alias_kind":"pith_short_12","alias_value":"3WLEDKENSRBV","created_at":"2026-07-05T06:58:34Z"},{"alias_kind":"pith_short_16","alias_value":"3WLEDKENSRBVWTNC","created_at":"2026-07-05T06:58:34Z"},{"alias_kind":"pith_short_8","alias_value":"3WLEDKEN","created_at":"2026-07-05T06:58:34Z"}],"graph_snapshots":[{"event_id":"sha256:48f2760d57dbc2bbbf15ba70900820f27c2ade2fd8b8a4adfb898be1e1f59aac","target":"graph","created_at":"2026-07-05T06:58:34Z","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/0809.1289/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The field theoretic renormalization group is applied to the stochastic Navier-Stokes equation with the stirring force correlator of the form k^(4-d-2\\epsilon) in the d-dimensional space, in connection with the problem of construction of the 1/d expansion for the fully developed fluid turbulence beyond the scope of the standard epsilon expansion. It is shown that in the large-d limit the number of the Feynman diagrams for the Green function (linear response function) decreases drastically, and the technique of their analytical calculation is developed. The main ingredients of the renormalizatio","authors_text":"L. Ts. Adzhemyan, M. V. Kompaniets, N. V. Antonov, P. B. Gol'din, T. L. Kim","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2008-09-08T08:14:12Z","title":"Renormalization group in the infinite-dimensional turbulence: third-order results"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0809.1289","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":"sha256:0f30d876ff8d9d4522d85054a32005984cd6b9438f9970c496596aae4836262f","target":"record","created_at":"2026-07-05T06:58:34Z","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":"49e34e8e55eb8e947535edf60d57f6c59e1067f9ff8d6761389568dc933deb0f","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2008-09-08T08:14:12Z","title_canon_sha256":"195647b4020164431602a0855825f7f3b233fa640a885d7744a450a17071b293"},"schema_version":"1.0","source":{"id":"0809.1289","kind":"arxiv","version":1}},"canonical_sha256":"dd9641a88d94435b4da25c3493a4fbbae7949c0dcf5e3e19d214f8e559533f03","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dd9641a88d94435b4da25c3493a4fbbae7949c0dcf5e3e19d214f8e559533f03","first_computed_at":"2026-07-05T06:58:34.127362Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:58:34.127362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8Jba5dzF7cIGnMKp+G5WIDtV90rNoSYBneC3KlCg1BpRAQNFLrWw6pnmPFNeE0IChV/EER7JS/5gggpMxQ3IAA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:58:34.127900Z","signed_message":"canonical_sha256_bytes"},"source_id":"0809.1289","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f30d876ff8d9d4522d85054a32005984cd6b9438f9970c496596aae4836262f","sha256:48f2760d57dbc2bbbf15ba70900820f27c2ade2fd8b8a4adfb898be1e1f59aac"],"state_sha256":"e9d51f4591bd3742871d5dacaaff60f2d41351cbd48c8184b3c879374e2b9859"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sRGGxT9gl/PN5InEVfdf+FzkBIJwz76DcggFt8Lo77yIqsOg6MZQnEbb11iwJEXIEZBn4h/IfzRp6d0Tsh6CDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T06:13:03.710131Z","bundle_sha256":"98d83219fa5e8404c160464307c5591627ff520810f5e74f8501f1f03b568dd3"}}