{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:3HL2UPNPUV5LAQGIBRAYX2KFZP","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":"6ab7650d279a5800ee5f48c6768a23509a6afb6117aff4c1793c9bb8c153c1e1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2011-05-12T16:02:20Z","title_canon_sha256":"8fa699fe90797c244fdeecc69b21c150a5743c06a555763b07eb6e8f0f257187"},"schema_version":"1.0","source":{"id":"1105.2516","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.2516","created_at":"2026-05-18T03:32:28Z"},{"alias_kind":"arxiv_version","alias_value":"1105.2516v6","created_at":"2026-05-18T03:32:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.2516","created_at":"2026-05-18T03:32:28Z"},{"alias_kind":"pith_short_12","alias_value":"3HL2UPNPUV5L","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"3HL2UPNPUV5LAQGI","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"3HL2UPNP","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:8a3d6f108138a67ad0de08e60d8a6fcfa461dc22b17f4b286802706127e9d419","target":"graph","created_at":"2026-05-18T03:32:28Z","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":"We prove a new T(1) theorem for multiparameter singular integrals","authors_text":"Paco Villarroya, Sandra Pott","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2011-05-12T16:02:20Z","title":"A T(1) theorem on product spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.2516","kind":"arxiv","version":6},"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:e0f682b7fc80ade0c83f3cf40e9557701e7583f7e6c101f8d48c589d9f7dbb97","target":"record","created_at":"2026-05-18T03:32:28Z","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":"6ab7650d279a5800ee5f48c6768a23509a6afb6117aff4c1793c9bb8c153c1e1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2011-05-12T16:02:20Z","title_canon_sha256":"8fa699fe90797c244fdeecc69b21c150a5743c06a555763b07eb6e8f0f257187"},"schema_version":"1.0","source":{"id":"1105.2516","kind":"arxiv","version":6}},"canonical_sha256":"d9d7aa3dafa57ab040c80c418be945cbd32d83e339037508764c5886aa269a54","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d9d7aa3dafa57ab040c80c418be945cbd32d83e339037508764c5886aa269a54","first_computed_at":"2026-05-18T03:32:28.748702Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:32:28.748702Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FMITA3AIqinA6UBCy8IMaVTMJ1Sf1yB7H0bvrQIH6xtxGmOUnsVa165tpzaRXuuf7CdzZmBvOB81U3iDJcyVDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:32:28.749543Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.2516","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e0f682b7fc80ade0c83f3cf40e9557701e7583f7e6c101f8d48c589d9f7dbb97","sha256:8a3d6f108138a67ad0de08e60d8a6fcfa461dc22b17f4b286802706127e9d419"],"state_sha256":"d61493e1adab9961be24848e3dae6855cbe4146e3d45f5b04e88fd204870477a"}