{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:73EHJS64USEWAB4J7CX465LWL6","short_pith_number":"pith:73EHJS64","canonical_record":{"source":{"id":"2406.18475","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-06-26T16:35:42Z","cross_cats_sorted":["astro-ph.HE","cond-mat.stat-mech","physics.flu-dyn"],"title_canon_sha256":"4b6b84b9e31bd421866aec98f884c3ff3dfac98e96222248fa681f73b877569b","abstract_canon_sha256":"1c0b780811469409d4901e24555d38856d82faf7115859b56ce249397d1dfa60"},"schema_version":"1.0"},"canonical_sha256":"fec874cbdca489600789f8afcf75765fa9fb87ce5a2f11f2dea804d3a06175ac","source":{"kind":"arxiv","id":"2406.18475","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.18475","created_at":"2026-07-05T08:37:09Z"},{"alias_kind":"arxiv_version","alias_value":"2406.18475v1","created_at":"2026-07-05T08:37:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.18475","created_at":"2026-07-05T08:37:09Z"},{"alias_kind":"pith_short_12","alias_value":"73EHJS64USEW","created_at":"2026-07-05T08:37:09Z"},{"alias_kind":"pith_short_16","alias_value":"73EHJS64USEWAB4J","created_at":"2026-07-05T08:37:09Z"},{"alias_kind":"pith_short_8","alias_value":"73EHJS64","created_at":"2026-07-05T08:37:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:73EHJS64USEWAB4J7CX465LWL6","target":"record","payload":{"canonical_record":{"source":{"id":"2406.18475","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-06-26T16:35:42Z","cross_cats_sorted":["astro-ph.HE","cond-mat.stat-mech","physics.flu-dyn"],"title_canon_sha256":"4b6b84b9e31bd421866aec98f884c3ff3dfac98e96222248fa681f73b877569b","abstract_canon_sha256":"1c0b780811469409d4901e24555d38856d82faf7115859b56ce249397d1dfa60"},"schema_version":"1.0"},"canonical_sha256":"fec874cbdca489600789f8afcf75765fa9fb87ce5a2f11f2dea804d3a06175ac","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:37:09.558431Z","signature_b64":"x0kGz2Ii1Y7vVUZ4IVfKHlr6EFo8rIk0cnw4FdeLN/XEx9EKl1A6EQb260jVXZ0sZV3Uw1butPTLeImvgODoAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fec874cbdca489600789f8afcf75765fa9fb87ce5a2f11f2dea804d3a06175ac","last_reissued_at":"2026-07-05T08:37:09.557956Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:37:09.557956Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2406.18475","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":"2026-07-05T08:37:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cGhiPqGZ3SMrIPI5vOrd9UGIX7EpuzYQjWdHT6Qtz1+38M55kne1JNumM+ndct9MLC6gCKAAvQi+T5aSACZLDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T18:41:01.127563Z"},"content_sha256":"da061b7d80b0b5696061bda7030b2afb115db2296b8396aeccba3bfdf6ed8c6a","schema_version":"1.0","event_id":"sha256:da061b7d80b0b5696061bda7030b2afb115db2296b8396aeccba3bfdf6ed8c6a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:73EHJS64USEWAB4J7CX465LWL6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Strong wave turbulence in strongly local large $N$ theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE","cond-mat.stat-mech","physics.flu-dyn"],"primary_cat":"hep-th","authors_text":"Daniel Schubring, Vladimir Rosenhaus","submitted_at":"2024-06-26T16:35:42Z","abstract_excerpt":"We study wave turbulence in systems with two special properties: a large number of fields (large $N$) and a nonlinear interaction that is strongly local in momentum space. The first property allows us to find the kinetic equation at all interaction strengths -- both weak and strong, at leading order in $1/N$. The second allows us to turn the kinetic equation -- an integral equation -- into a differential equation. We find stationary solutions for the occupation number as a function of wave number, valid at all scales. As expected, on the weak coupling end the solutions asymptote to Kolmogorov-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.18475","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/2406.18475/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":"2026-07-05T08:37:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d1G7eK7Vvgw/kflX0B1E00Rx9S2odoDZwEF6rcXExnnIcrjrXABmzgsyKT+r565LmGua7p7mrXJMy+ansE+4Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T18:41:01.128145Z"},"content_sha256":"f551eabb94379c85e92278873bfb984ae13c14373e9f5433ef74698b27ff2d19","schema_version":"1.0","event_id":"sha256:f551eabb94379c85e92278873bfb984ae13c14373e9f5433ef74698b27ff2d19"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/73EHJS64USEWAB4J7CX465LWL6/bundle.json","state_url":"https://pith.science/pith/73EHJS64USEWAB4J7CX465LWL6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/73EHJS64USEWAB4J7CX465LWL6/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":"2026-08-11T18:41:01Z","links":{"resolver":"https://pith.science/pith/73EHJS64USEWAB4J7CX465LWL6","bundle":"https://pith.science/pith/73EHJS64USEWAB4J7CX465LWL6/bundle.json","state":"https://pith.science/pith/73EHJS64USEWAB4J7CX465LWL6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/73EHJS64USEWAB4J7CX465LWL6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:73EHJS64USEWAB4J7CX465LWL6","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":"1c0b780811469409d4901e24555d38856d82faf7115859b56ce249397d1dfa60","cross_cats_sorted":["astro-ph.HE","cond-mat.stat-mech","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-06-26T16:35:42Z","title_canon_sha256":"4b6b84b9e31bd421866aec98f884c3ff3dfac98e96222248fa681f73b877569b"},"schema_version":"1.0","source":{"id":"2406.18475","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.18475","created_at":"2026-07-05T08:37:09Z"},{"alias_kind":"arxiv_version","alias_value":"2406.18475v1","created_at":"2026-07-05T08:37:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.18475","created_at":"2026-07-05T08:37:09Z"},{"alias_kind":"pith_short_12","alias_value":"73EHJS64USEW","created_at":"2026-07-05T08:37:09Z"},{"alias_kind":"pith_short_16","alias_value":"73EHJS64USEWAB4J","created_at":"2026-07-05T08:37:09Z"},{"alias_kind":"pith_short_8","alias_value":"73EHJS64","created_at":"2026-07-05T08:37:09Z"}],"graph_snapshots":[{"event_id":"sha256:f551eabb94379c85e92278873bfb984ae13c14373e9f5433ef74698b27ff2d19","target":"graph","created_at":"2026-07-05T08:37:09Z","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/2406.18475/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study wave turbulence in systems with two special properties: a large number of fields (large $N$) and a nonlinear interaction that is strongly local in momentum space. The first property allows us to find the kinetic equation at all interaction strengths -- both weak and strong, at leading order in $1/N$. The second allows us to turn the kinetic equation -- an integral equation -- into a differential equation. We find stationary solutions for the occupation number as a function of wave number, valid at all scales. As expected, on the weak coupling end the solutions asymptote to Kolmogorov-","authors_text":"Daniel Schubring, Vladimir Rosenhaus","cross_cats":["astro-ph.HE","cond-mat.stat-mech","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-06-26T16:35:42Z","title":"Strong wave turbulence in strongly local large $N$ theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.18475","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:da061b7d80b0b5696061bda7030b2afb115db2296b8396aeccba3bfdf6ed8c6a","target":"record","created_at":"2026-07-05T08:37:09Z","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":"1c0b780811469409d4901e24555d38856d82faf7115859b56ce249397d1dfa60","cross_cats_sorted":["astro-ph.HE","cond-mat.stat-mech","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-06-26T16:35:42Z","title_canon_sha256":"4b6b84b9e31bd421866aec98f884c3ff3dfac98e96222248fa681f73b877569b"},"schema_version":"1.0","source":{"id":"2406.18475","kind":"arxiv","version":1}},"canonical_sha256":"fec874cbdca489600789f8afcf75765fa9fb87ce5a2f11f2dea804d3a06175ac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fec874cbdca489600789f8afcf75765fa9fb87ce5a2f11f2dea804d3a06175ac","first_computed_at":"2026-07-05T08:37:09.557956Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:37:09.557956Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x0kGz2Ii1Y7vVUZ4IVfKHlr6EFo8rIk0cnw4FdeLN/XEx9EKl1A6EQb260jVXZ0sZV3Uw1butPTLeImvgODoAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:37:09.558431Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.18475","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:da061b7d80b0b5696061bda7030b2afb115db2296b8396aeccba3bfdf6ed8c6a","sha256:f551eabb94379c85e92278873bfb984ae13c14373e9f5433ef74698b27ff2d19"],"state_sha256":"52ea7f5848d58066304c5120d22b7a4206f9bf4ce6d4fcd4aaff5c84b6e354d9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"riSFBY2MJ0vN6egz/Vi3bh5YXh+efsWVhkoP408T1hgiR2HGeYc6E9ProretTdQ9iORFJk77aFhYf6H4w1DgDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T18:41:01.132663Z","bundle_sha256":"bf1dbe6e4f8f5bd9249824db0dbf9e8fbc7147448dc96bda49c5ed98e84fd225"}}