{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:OCJ425XSKCFZUGXW2XCWFPO2GS","short_pith_number":"pith:OCJ425XS","canonical_record":{"source":{"id":"1608.06346","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-08-23T00:31:46Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"a8ec3e8431e8475300cc3f712d923677294985a084fb69fc04198dc058ab35c1","abstract_canon_sha256":"897b65395fc01318f13ffabbbb3392e174358cbfa3122dd771e1fece3615f235"},"schema_version":"1.0"},"canonical_sha256":"7093cd76f2508b9a1af6d5c562bdda34afe7132635a6666eec16838627090104","source":{"kind":"arxiv","id":"1608.06346","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.06346","created_at":"2026-05-18T01:08:14Z"},{"alias_kind":"arxiv_version","alias_value":"1608.06346v1","created_at":"2026-05-18T01:08:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.06346","created_at":"2026-05-18T01:08:14Z"},{"alias_kind":"pith_short_12","alias_value":"OCJ425XSKCFZ","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"OCJ425XSKCFZUGXW","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"OCJ425XS","created_at":"2026-05-18T12:30:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:OCJ425XSKCFZUGXW2XCWFPO2GS","target":"record","payload":{"canonical_record":{"source":{"id":"1608.06346","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-08-23T00:31:46Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"a8ec3e8431e8475300cc3f712d923677294985a084fb69fc04198dc058ab35c1","abstract_canon_sha256":"897b65395fc01318f13ffabbbb3392e174358cbfa3122dd771e1fece3615f235"},"schema_version":"1.0"},"canonical_sha256":"7093cd76f2508b9a1af6d5c562bdda34afe7132635a6666eec16838627090104","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:14.277479Z","signature_b64":"1nf+tKhSPO9xYz58UVtoa/0/++kR039/cs384vLE8WIbRirxZF9RvXyne41Nm0iXzxheMZsgZc57IKSXkf1jCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7093cd76f2508b9a1af6d5c562bdda34afe7132635a6666eec16838627090104","last_reissued_at":"2026-05-18T01:08:14.277030Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:14.277030Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1608.06346","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":"2026-05-18T01:08:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bIxQFFPPVRo+MoPPREf8eRFIkdrn7wIgEUER0fRmlG3dACqM17MFZ8eLQLOu7zVbmAB8GdLQofTVPM1WpgF2BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T03:50:24.474125Z"},"content_sha256":"2f8b7172f7ce48c9d0a582656f5ff2fc0a305bebd0432fad8f09cb25608792e4","schema_version":"1.0","event_id":"sha256:2f8b7172f7ce48c9d0a582656f5ff2fc0a305bebd0432fad8f09cb25608792e4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:OCJ425XSKCFZUGXW2XCWFPO2GS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sharp bounds for the cubic Parsell-Vinogradov system in two dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.NT","authors_text":"Ciprian Demeter, Jean Bourgain, Shaoming Guo","submitted_at":"2016-08-23T00:31:46Z","abstract_excerpt":"We prove a sharp decoupling for a certain two dimensional surface in R^9. As an application, we obtain the full range of expected estimates for the cubic Parsell-Vinogradov system in two dimensions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.06346","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":""},"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":"2026-05-18T01:08:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9sRhx7n4eF0lXuYyY2kX+B5EmlJHNUHFYAqA/u6xvumS0Zdo4cTG01aGSEVQZaVjdBtr1EFU65ie6xJnjNaeCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T03:50:24.474486Z"},"content_sha256":"29035235bf3d6c52bc0670a8bd056b94a6fd525a5a0d5816176cc48d7bff3c25","schema_version":"1.0","event_id":"sha256:29035235bf3d6c52bc0670a8bd056b94a6fd525a5a0d5816176cc48d7bff3c25"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OCJ425XSKCFZUGXW2XCWFPO2GS/bundle.json","state_url":"https://pith.science/pith/OCJ425XSKCFZUGXW2XCWFPO2GS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OCJ425XSKCFZUGXW2XCWFPO2GS/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":"2026-05-28T03:50:24Z","links":{"resolver":"https://pith.science/pith/OCJ425XSKCFZUGXW2XCWFPO2GS","bundle":"https://pith.science/pith/OCJ425XSKCFZUGXW2XCWFPO2GS/bundle.json","state":"https://pith.science/pith/OCJ425XSKCFZUGXW2XCWFPO2GS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OCJ425XSKCFZUGXW2XCWFPO2GS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:OCJ425XSKCFZUGXW2XCWFPO2GS","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":"897b65395fc01318f13ffabbbb3392e174358cbfa3122dd771e1fece3615f235","cross_cats_sorted":["math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-08-23T00:31:46Z","title_canon_sha256":"a8ec3e8431e8475300cc3f712d923677294985a084fb69fc04198dc058ab35c1"},"schema_version":"1.0","source":{"id":"1608.06346","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.06346","created_at":"2026-05-18T01:08:14Z"},{"alias_kind":"arxiv_version","alias_value":"1608.06346v1","created_at":"2026-05-18T01:08:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.06346","created_at":"2026-05-18T01:08:14Z"},{"alias_kind":"pith_short_12","alias_value":"OCJ425XSKCFZ","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"OCJ425XSKCFZUGXW","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"OCJ425XS","created_at":"2026-05-18T12:30:36Z"}],"graph_snapshots":[{"event_id":"sha256:29035235bf3d6c52bc0670a8bd056b94a6fd525a5a0d5816176cc48d7bff3c25","target":"graph","created_at":"2026-05-18T01:08:14Z","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 sharp decoupling for a certain two dimensional surface in R^9. As an application, we obtain the full range of expected estimates for the cubic Parsell-Vinogradov system in two dimensions.","authors_text":"Ciprian Demeter, Jean Bourgain, Shaoming Guo","cross_cats":["math.CA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-08-23T00:31:46Z","title":"Sharp bounds for the cubic Parsell-Vinogradov system in two dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.06346","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":"sha256:2f8b7172f7ce48c9d0a582656f5ff2fc0a305bebd0432fad8f09cb25608792e4","target":"record","created_at":"2026-05-18T01:08:14Z","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":"897b65395fc01318f13ffabbbb3392e174358cbfa3122dd771e1fece3615f235","cross_cats_sorted":["math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-08-23T00:31:46Z","title_canon_sha256":"a8ec3e8431e8475300cc3f712d923677294985a084fb69fc04198dc058ab35c1"},"schema_version":"1.0","source":{"id":"1608.06346","kind":"arxiv","version":1}},"canonical_sha256":"7093cd76f2508b9a1af6d5c562bdda34afe7132635a6666eec16838627090104","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7093cd76f2508b9a1af6d5c562bdda34afe7132635a6666eec16838627090104","first_computed_at":"2026-05-18T01:08:14.277030Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:14.277030Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1nf+tKhSPO9xYz58UVtoa/0/++kR039/cs384vLE8WIbRirxZF9RvXyne41Nm0iXzxheMZsgZc57IKSXkf1jCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:14.277479Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.06346","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f8b7172f7ce48c9d0a582656f5ff2fc0a305bebd0432fad8f09cb25608792e4","sha256:29035235bf3d6c52bc0670a8bd056b94a6fd525a5a0d5816176cc48d7bff3c25"],"state_sha256":"367c724309fc7fc7e8a38c8a317b30510d7de36047f6c8573e2f94a1179e797b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kqJiUwSpojfrtncersAfLE90UIOZnAxEzDV2Dm/OMFMK65hpL/JulgqSLrsiS3sNAe0l6CTfTFLoRDm7xb5+DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T03:50:24.476503Z","bundle_sha256":"9b7d529dfb9d29902f8711c094c01fc484030c8108748bf2f96c0a6c4de7dd87"}}