{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:EDVMQD3R57CBIIPDDMJGULOX2X","short_pith_number":"pith:EDVMQD3R","canonical_record":{"source":{"id":"1604.06940","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-04-23T19:20:15Z","cross_cats_sorted":["math-ph","math.MP","math.RT"],"title_canon_sha256":"039881e1e47f9d348e789db50fa2326f46ccc482c19994e94fa305ad6bcf1be5","abstract_canon_sha256":"258641f72fe2cf37fc9a02524363e7d04f0aead2bbb0b8dc2e50abc7bfddf1bf"},"schema_version":"1.0"},"canonical_sha256":"20eac80f71efc41421e31b126a2dd7d5e38e28614315b05cd5f1dce549e4ed72","source":{"kind":"arxiv","id":"1604.06940","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.06940","created_at":"2026-05-18T01:12:37Z"},{"alias_kind":"arxiv_version","alias_value":"1604.06940v2","created_at":"2026-05-18T01:12:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.06940","created_at":"2026-05-18T01:12:37Z"},{"alias_kind":"pith_short_12","alias_value":"EDVMQD3R57CB","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"EDVMQD3R57CBIIPD","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"EDVMQD3R","created_at":"2026-05-18T12:30:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:EDVMQD3R57CBIIPDDMJGULOX2X","target":"record","payload":{"canonical_record":{"source":{"id":"1604.06940","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-04-23T19:20:15Z","cross_cats_sorted":["math-ph","math.MP","math.RT"],"title_canon_sha256":"039881e1e47f9d348e789db50fa2326f46ccc482c19994e94fa305ad6bcf1be5","abstract_canon_sha256":"258641f72fe2cf37fc9a02524363e7d04f0aead2bbb0b8dc2e50abc7bfddf1bf"},"schema_version":"1.0"},"canonical_sha256":"20eac80f71efc41421e31b126a2dd7d5e38e28614315b05cd5f1dce549e4ed72","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:37.701574Z","signature_b64":"OzNTa16+09MJ2oRyzQ5egW/+hZVJAahYZ4Eb8e3621diPGtL8kPG8cGRQTnYvNyWIsRLLKfNmq5AT3DBx387Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"20eac80f71efc41421e31b126a2dd7d5e38e28614315b05cd5f1dce549e4ed72","last_reissued_at":"2026-05-18T01:12:37.701217Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:37.701217Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.06940","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":"2026-05-18T01:12:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Sj70atESaVR/jhkub2CI4W3Tfc/f6i4H34ah5n3j6baeAIV6OHd872SPvXGU6YlRJmKzrdksw2lsLq+Gp7cCCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T19:23:39.157356Z"},"content_sha256":"719ddd8364c53e2b8e9193df8ae2c7604632ccf81b218424c66d5731eab34f45","schema_version":"1.0","event_id":"sha256:719ddd8364c53e2b8e9193df8ae2c7604632ccf81b218424c66d5731eab34f45"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:EDVMQD3R57CBIIPDDMJGULOX2X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Benedicks' Theorem for the Weyl Transform","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.RT"],"primary_cat":"math.FA","authors_text":"M. K. Vemuri","submitted_at":"2016-04-23T19:20:15Z","abstract_excerpt":"If the set of points where a function is nonzero is of finite measure, and its Weyl transform is a finite rank operator, then the function is identically zero."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.06940","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":""},"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":"2026-05-18T01:12:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YckYi0blnCy03Yz9rdKI0JjDwYJdPFWWFMItbA90f7aN7HcUaWTlLlXDXC+rzM5vAMc3AwxVvvDInHFWHL77BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T19:23:39.158119Z"},"content_sha256":"e258fe5874818160cbfa077a3dfb35d3ab8720ff9c191de6dc2b8346df270339","schema_version":"1.0","event_id":"sha256:e258fe5874818160cbfa077a3dfb35d3ab8720ff9c191de6dc2b8346df270339"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EDVMQD3R57CBIIPDDMJGULOX2X/bundle.json","state_url":"https://pith.science/pith/EDVMQD3R57CBIIPDDMJGULOX2X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EDVMQD3R57CBIIPDDMJGULOX2X/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":"2026-06-08T19:23:39Z","links":{"resolver":"https://pith.science/pith/EDVMQD3R57CBIIPDDMJGULOX2X","bundle":"https://pith.science/pith/EDVMQD3R57CBIIPDDMJGULOX2X/bundle.json","state":"https://pith.science/pith/EDVMQD3R57CBIIPDDMJGULOX2X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EDVMQD3R57CBIIPDDMJGULOX2X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:EDVMQD3R57CBIIPDDMJGULOX2X","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":"258641f72fe2cf37fc9a02524363e7d04f0aead2bbb0b8dc2e50abc7bfddf1bf","cross_cats_sorted":["math-ph","math.MP","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-04-23T19:20:15Z","title_canon_sha256":"039881e1e47f9d348e789db50fa2326f46ccc482c19994e94fa305ad6bcf1be5"},"schema_version":"1.0","source":{"id":"1604.06940","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.06940","created_at":"2026-05-18T01:12:37Z"},{"alias_kind":"arxiv_version","alias_value":"1604.06940v2","created_at":"2026-05-18T01:12:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.06940","created_at":"2026-05-18T01:12:37Z"},{"alias_kind":"pith_short_12","alias_value":"EDVMQD3R57CB","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"EDVMQD3R57CBIIPD","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"EDVMQD3R","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:e258fe5874818160cbfa077a3dfb35d3ab8720ff9c191de6dc2b8346df270339","target":"graph","created_at":"2026-05-18T01:12:37Z","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":"If the set of points where a function is nonzero is of finite measure, and its Weyl transform is a finite rank operator, then the function is identically zero.","authors_text":"M. K. Vemuri","cross_cats":["math-ph","math.MP","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-04-23T19:20:15Z","title":"Benedicks' Theorem for the Weyl Transform"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.06940","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":"sha256:719ddd8364c53e2b8e9193df8ae2c7604632ccf81b218424c66d5731eab34f45","target":"record","created_at":"2026-05-18T01:12:37Z","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":"258641f72fe2cf37fc9a02524363e7d04f0aead2bbb0b8dc2e50abc7bfddf1bf","cross_cats_sorted":["math-ph","math.MP","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-04-23T19:20:15Z","title_canon_sha256":"039881e1e47f9d348e789db50fa2326f46ccc482c19994e94fa305ad6bcf1be5"},"schema_version":"1.0","source":{"id":"1604.06940","kind":"arxiv","version":2}},"canonical_sha256":"20eac80f71efc41421e31b126a2dd7d5e38e28614315b05cd5f1dce549e4ed72","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"20eac80f71efc41421e31b126a2dd7d5e38e28614315b05cd5f1dce549e4ed72","first_computed_at":"2026-05-18T01:12:37.701217Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:37.701217Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OzNTa16+09MJ2oRyzQ5egW/+hZVJAahYZ4Eb8e3621diPGtL8kPG8cGRQTnYvNyWIsRLLKfNmq5AT3DBx387Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:37.701574Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.06940","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:719ddd8364c53e2b8e9193df8ae2c7604632ccf81b218424c66d5731eab34f45","sha256:e258fe5874818160cbfa077a3dfb35d3ab8720ff9c191de6dc2b8346df270339"],"state_sha256":"652df7d61c28b4fb97aaf1b2d6234c10b2fab26230eeb445eaa6e8f968de1708"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F5/iYby2fAdjLWdDAY9A2dc126yKiYJsoXJhVK8Pv/RxolLquU/3brU6NyXOjhLX3W2K48ikksF+IGk0s+r8BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T19:23:39.162283Z","bundle_sha256":"20ce89e8db748510fbe4a594caba670ef39020a8dc5d50085a14f65a4735051e"}}