{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:4ZQ3BM66NDYJ6VCSTTYVNL7VS6","short_pith_number":"pith:4ZQ3BM66","canonical_record":{"source":{"id":"2506.16484","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2025-06-19T17:27:26Z","cross_cats_sorted":[],"title_canon_sha256":"add0331e92308528fa058810494000b2cdef93641d6a5cc5fe66fe99d0d6092d","abstract_canon_sha256":"0fc112ebc9d74a2f3199de3f7c9c5aefc970fd6298a089f21043f7ce186efbf6"},"schema_version":"1.0"},"canonical_sha256":"e661b0b3de68f09f54529cf156aff59794d43ca876b519774eedcc0659f379b2","source":{"kind":"arxiv","id":"2506.16484","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.16484","created_at":"2026-07-05T11:37:23Z"},{"alias_kind":"arxiv_version","alias_value":"2506.16484v2","created_at":"2026-07-05T11:37:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.16484","created_at":"2026-07-05T11:37:23Z"},{"alias_kind":"pith_short_12","alias_value":"4ZQ3BM66NDYJ","created_at":"2026-07-05T11:37:23Z"},{"alias_kind":"pith_short_16","alias_value":"4ZQ3BM66NDYJ6VCS","created_at":"2026-07-05T11:37:23Z"},{"alias_kind":"pith_short_8","alias_value":"4ZQ3BM66","created_at":"2026-07-05T11:37:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:4ZQ3BM66NDYJ6VCSTTYVNL7VS6","target":"record","payload":{"canonical_record":{"source":{"id":"2506.16484","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2025-06-19T17:27:26Z","cross_cats_sorted":[],"title_canon_sha256":"add0331e92308528fa058810494000b2cdef93641d6a5cc5fe66fe99d0d6092d","abstract_canon_sha256":"0fc112ebc9d74a2f3199de3f7c9c5aefc970fd6298a089f21043f7ce186efbf6"},"schema_version":"1.0"},"canonical_sha256":"e661b0b3de68f09f54529cf156aff59794d43ca876b519774eedcc0659f379b2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:37:23.694330Z","signature_b64":"VemO7+zk7qYc/1HVQGkmfZ/5DTr9e66NsSbl2a2tXfUKQoFpb0Mf9cXDCezXxDmIKeeDSk6DpVoRtUCa6vMnDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e661b0b3de68f09f54529cf156aff59794d43ca876b519774eedcc0659f379b2","last_reissued_at":"2026-07-05T11:37:23.693826Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:37:23.693826Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.16484","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:37:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Jj4pb5w5cZdSPvsP/lS0SkcMKoagedwuNgyMGCXsmgBjLz1V6CFregK5s9Afv/kRIGFSa9UWKbcwMAlvwRTcBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T17:38:50.562326Z"},"content_sha256":"5350cd6c4f2a30d0abc974483693e4f8c53fd2293577195ba3d80f117466eed0","schema_version":"1.0","event_id":"sha256:5350cd6c4f2a30d0abc974483693e4f8c53fd2293577195ba3d80f117466eed0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:4ZQ3BM66NDYJ6VCSTTYVNL7VS6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stochastic heat flow is a black noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Li-Cheng Tsai, Yu Gu","submitted_at":"2025-06-19T17:27:26Z","abstract_excerpt":"We prove that the stochastic heat flow Caravenna Sun Zygouras (2023), Tsai (2024) is a black noise in the sense of Tsirelson (2004). As a corollary, the 2d stochastic heat equation driven by a mollified spacetime white noise becomes asymptotically independent of that noise in the scaling limit."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.16484","kind":"arxiv","version":2},"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/2506.16484/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":"2026-07-05T11:37:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lVECIM9cwxxSQv3xBcNwXhpDx5Dbudn2EMMGds3NubkBBv/THPINmoeejW2W19+mviRrk+Emr2f4W9Mem4kPCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T17:38:50.562804Z"},"content_sha256":"0b6e63e47a918a3bf1cf7b08ac00327764ddf59ec26c550117e57ae7e6b2fbe8","schema_version":"1.0","event_id":"sha256:0b6e63e47a918a3bf1cf7b08ac00327764ddf59ec26c550117e57ae7e6b2fbe8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4ZQ3BM66NDYJ6VCSTTYVNL7VS6/bundle.json","state_url":"https://pith.science/pith/4ZQ3BM66NDYJ6VCSTTYVNL7VS6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4ZQ3BM66NDYJ6VCSTTYVNL7VS6/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":"2026-08-09T17:38:50Z","links":{"resolver":"https://pith.science/pith/4ZQ3BM66NDYJ6VCSTTYVNL7VS6","bundle":"https://pith.science/pith/4ZQ3BM66NDYJ6VCSTTYVNL7VS6/bundle.json","state":"https://pith.science/pith/4ZQ3BM66NDYJ6VCSTTYVNL7VS6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4ZQ3BM66NDYJ6VCSTTYVNL7VS6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:4ZQ3BM66NDYJ6VCSTTYVNL7VS6","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":"0fc112ebc9d74a2f3199de3f7c9c5aefc970fd6298a089f21043f7ce186efbf6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2025-06-19T17:27:26Z","title_canon_sha256":"add0331e92308528fa058810494000b2cdef93641d6a5cc5fe66fe99d0d6092d"},"schema_version":"1.0","source":{"id":"2506.16484","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.16484","created_at":"2026-07-05T11:37:23Z"},{"alias_kind":"arxiv_version","alias_value":"2506.16484v2","created_at":"2026-07-05T11:37:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.16484","created_at":"2026-07-05T11:37:23Z"},{"alias_kind":"pith_short_12","alias_value":"4ZQ3BM66NDYJ","created_at":"2026-07-05T11:37:23Z"},{"alias_kind":"pith_short_16","alias_value":"4ZQ3BM66NDYJ6VCS","created_at":"2026-07-05T11:37:23Z"},{"alias_kind":"pith_short_8","alias_value":"4ZQ3BM66","created_at":"2026-07-05T11:37:23Z"}],"graph_snapshots":[{"event_id":"sha256:0b6e63e47a918a3bf1cf7b08ac00327764ddf59ec26c550117e57ae7e6b2fbe8","target":"graph","created_at":"2026-07-05T11:37:23Z","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/2506.16484/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove that the stochastic heat flow Caravenna Sun Zygouras (2023), Tsai (2024) is a black noise in the sense of Tsirelson (2004). As a corollary, the 2d stochastic heat equation driven by a mollified spacetime white noise becomes asymptotically independent of that noise in the scaling limit.","authors_text":"Li-Cheng Tsai, Yu Gu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2025-06-19T17:27:26Z","title":"Stochastic heat flow is a black noise"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.16484","kind":"arxiv","version":2},"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":"sha256:5350cd6c4f2a30d0abc974483693e4f8c53fd2293577195ba3d80f117466eed0","target":"record","created_at":"2026-07-05T11:37:23Z","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":"0fc112ebc9d74a2f3199de3f7c9c5aefc970fd6298a089f21043f7ce186efbf6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2025-06-19T17:27:26Z","title_canon_sha256":"add0331e92308528fa058810494000b2cdef93641d6a5cc5fe66fe99d0d6092d"},"schema_version":"1.0","source":{"id":"2506.16484","kind":"arxiv","version":2}},"canonical_sha256":"e661b0b3de68f09f54529cf156aff59794d43ca876b519774eedcc0659f379b2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e661b0b3de68f09f54529cf156aff59794d43ca876b519774eedcc0659f379b2","first_computed_at":"2026-07-05T11:37:23.693826Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:37:23.693826Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VemO7+zk7qYc/1HVQGkmfZ/5DTr9e66NsSbl2a2tXfUKQoFpb0Mf9cXDCezXxDmIKeeDSk6DpVoRtUCa6vMnDg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:37:23.694330Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.16484","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5350cd6c4f2a30d0abc974483693e4f8c53fd2293577195ba3d80f117466eed0","sha256:0b6e63e47a918a3bf1cf7b08ac00327764ddf59ec26c550117e57ae7e6b2fbe8"],"state_sha256":"832f008e5914d2be22fb510e5c68c95c0def6d2bc37b3892533edfafbb3e1fc5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EP373RMA/tKPM28e/Ek/h23UySapqn0ByEZB2VgsaTwTDJWzPnc5SuGrw8HlchflR+4JmfRs3+keUeTboeqzBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T17:38:50.566099Z","bundle_sha256":"91f0f37d5ff74c4bc2bcafa78cc23d5e0bd4b392758f4b0e88b068f2d4ac1a52"}}