{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:7YT7UX5L2NCEOS7JO22DFDL3VU","short_pith_number":"pith:7YT7UX5L","canonical_record":{"source":{"id":"2109.00399","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2021-09-01T14:29:18Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"0561abb76e9a60b1171843da4b8ce23aef0dfd521dd6431b15b36ce45e3529a8","abstract_canon_sha256":"4760dc4bd3455dcf67bcc373766ce9095ec467a1ca422d0eee28e7fb78adb0a4"},"schema_version":"1.0"},"canonical_sha256":"fe27fa5fabd344474be976b4328d7bad3d91dc727e614a869684abbdfcc95946","source":{"kind":"arxiv","id":"2109.00399","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2109.00399","created_at":"2026-07-05T08:26:54Z"},{"alias_kind":"arxiv_version","alias_value":"2109.00399v2","created_at":"2026-07-05T08:26:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.00399","created_at":"2026-07-05T08:26:54Z"},{"alias_kind":"pith_short_12","alias_value":"7YT7UX5L2NCE","created_at":"2026-07-05T08:26:54Z"},{"alias_kind":"pith_short_16","alias_value":"7YT7UX5L2NCEOS7J","created_at":"2026-07-05T08:26:54Z"},{"alias_kind":"pith_short_8","alias_value":"7YT7UX5L","created_at":"2026-07-05T08:26:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:7YT7UX5L2NCEOS7JO22DFDL3VU","target":"record","payload":{"canonical_record":{"source":{"id":"2109.00399","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2021-09-01T14:29:18Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"0561abb76e9a60b1171843da4b8ce23aef0dfd521dd6431b15b36ce45e3529a8","abstract_canon_sha256":"4760dc4bd3455dcf67bcc373766ce9095ec467a1ca422d0eee28e7fb78adb0a4"},"schema_version":"1.0"},"canonical_sha256":"fe27fa5fabd344474be976b4328d7bad3d91dc727e614a869684abbdfcc95946","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:26:54.549176Z","signature_b64":"Hxk3maIsk6TaB3NP3U3bHT1N/0UgMf0NKDqe0hgTV9RHjqXGkaqth4lXxIM6l1AuV9P4TrTENZM/D5bfNLcuDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fe27fa5fabd344474be976b4328d7bad3d91dc727e614a869684abbdfcc95946","last_reissued_at":"2026-07-05T08:26:54.548703Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:26:54.548703Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2109.00399","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":"2026-07-05T08:26:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SJyy29nhzyoTWhSdITA03zpugvmSPg7SBNSps2pzi26eRjPcwAlFAzOabPbmU+Zdfapyi4tE1lcqsW4A8sHtDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T22:35:28.309126Z"},"content_sha256":"dad34eb7e96be3c0c0c99070de98a3d3ccc14a3a653517ecf8ce196d0dad07b0","schema_version":"1.0","event_id":"sha256:dad34eb7e96be3c0c0c99070de98a3d3ccc14a3a653517ecf8ce196d0dad07b0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:7YT7UX5L2NCEOS7JO22DFDL3VU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Locality for singular stochastic PDEs","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.AP","authors_text":"I. Bailleul, Y. Bruned","submitted_at":"2021-09-01T14:29:18Z","abstract_excerpt":"This work deals with singular stochastic PDEs driven by non-translation invariant differential operators. We describe the renormalized equation for a very large class of spacetime dependent renormalization schemes. Our approach bypasses in particular the use of decorated trees with extended decorations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.00399","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/2109.00399/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":"2026-07-05T08:26:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lyebpKVTjJzmKjE5k6lnZz4RoCdXG+isrVfU1qqUQmOlS2OPuJyU9ZnNVdrZ3XUSbUWXkeHsP6+KVnb/Vc/yCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T22:35:28.309645Z"},"content_sha256":"1dfe8e44f6420c2e7d3fe3af2dffa6b00ec5859fea129ff0005e133cb98cbce9","schema_version":"1.0","event_id":"sha256:1dfe8e44f6420c2e7d3fe3af2dffa6b00ec5859fea129ff0005e133cb98cbce9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7YT7UX5L2NCEOS7JO22DFDL3VU/bundle.json","state_url":"https://pith.science/pith/7YT7UX5L2NCEOS7JO22DFDL3VU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7YT7UX5L2NCEOS7JO22DFDL3VU/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":"2026-08-07T22:35:28Z","links":{"resolver":"https://pith.science/pith/7YT7UX5L2NCEOS7JO22DFDL3VU","bundle":"https://pith.science/pith/7YT7UX5L2NCEOS7JO22DFDL3VU/bundle.json","state":"https://pith.science/pith/7YT7UX5L2NCEOS7JO22DFDL3VU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7YT7UX5L2NCEOS7JO22DFDL3VU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:7YT7UX5L2NCEOS7JO22DFDL3VU","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":"4760dc4bd3455dcf67bcc373766ce9095ec467a1ca422d0eee28e7fb78adb0a4","cross_cats_sorted":["math.PR"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2021-09-01T14:29:18Z","title_canon_sha256":"0561abb76e9a60b1171843da4b8ce23aef0dfd521dd6431b15b36ce45e3529a8"},"schema_version":"1.0","source":{"id":"2109.00399","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2109.00399","created_at":"2026-07-05T08:26:54Z"},{"alias_kind":"arxiv_version","alias_value":"2109.00399v2","created_at":"2026-07-05T08:26:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.00399","created_at":"2026-07-05T08:26:54Z"},{"alias_kind":"pith_short_12","alias_value":"7YT7UX5L2NCE","created_at":"2026-07-05T08:26:54Z"},{"alias_kind":"pith_short_16","alias_value":"7YT7UX5L2NCEOS7J","created_at":"2026-07-05T08:26:54Z"},{"alias_kind":"pith_short_8","alias_value":"7YT7UX5L","created_at":"2026-07-05T08:26:54Z"}],"graph_snapshots":[{"event_id":"sha256:1dfe8e44f6420c2e7d3fe3af2dffa6b00ec5859fea129ff0005e133cb98cbce9","target":"graph","created_at":"2026-07-05T08:26:54Z","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/2109.00399/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This work deals with singular stochastic PDEs driven by non-translation invariant differential operators. We describe the renormalized equation for a very large class of spacetime dependent renormalization schemes. Our approach bypasses in particular the use of decorated trees with extended decorations.","authors_text":"I. Bailleul, Y. Bruned","cross_cats":["math.PR"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2021-09-01T14:29:18Z","title":"Locality for singular stochastic PDEs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.00399","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:dad34eb7e96be3c0c0c99070de98a3d3ccc14a3a653517ecf8ce196d0dad07b0","target":"record","created_at":"2026-07-05T08:26:54Z","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":"4760dc4bd3455dcf67bcc373766ce9095ec467a1ca422d0eee28e7fb78adb0a4","cross_cats_sorted":["math.PR"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2021-09-01T14:29:18Z","title_canon_sha256":"0561abb76e9a60b1171843da4b8ce23aef0dfd521dd6431b15b36ce45e3529a8"},"schema_version":"1.0","source":{"id":"2109.00399","kind":"arxiv","version":2}},"canonical_sha256":"fe27fa5fabd344474be976b4328d7bad3d91dc727e614a869684abbdfcc95946","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe27fa5fabd344474be976b4328d7bad3d91dc727e614a869684abbdfcc95946","first_computed_at":"2026-07-05T08:26:54.548703Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:26:54.548703Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Hxk3maIsk6TaB3NP3U3bHT1N/0UgMf0NKDqe0hgTV9RHjqXGkaqth4lXxIM6l1AuV9P4TrTENZM/D5bfNLcuDw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:26:54.549176Z","signed_message":"canonical_sha256_bytes"},"source_id":"2109.00399","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dad34eb7e96be3c0c0c99070de98a3d3ccc14a3a653517ecf8ce196d0dad07b0","sha256:1dfe8e44f6420c2e7d3fe3af2dffa6b00ec5859fea129ff0005e133cb98cbce9"],"state_sha256":"536b9f8d2f9efa9ba2e11e4226c85519d1739fdb962c1211af1578ce5e54c344"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hg7dxJSkkf+UKRMCX251R/6A+2RkEcDlXJRTwq6bfhcV4GI2XYQBGRLGQ5eVdqm4rdUq47L9l7EHsu/FKIwqCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T22:35:28.315411Z","bundle_sha256":"e6790fd94cdd0f14f2e2f434c6b8d95dd67cbdeb321bb6efd192d670a6a12996"}}