{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:IF3EECYVVRW3GD6W25OVYSEAMQ","short_pith_number":"pith:IF3EECYV","canonical_record":{"source":{"id":"1312.7323","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-12-27T19:50:36Z","cross_cats_sorted":[],"title_canon_sha256":"2d74b3a2f199da8555922bba3d8541df557aae3756fc0d1dad5731c97ed9c25b","abstract_canon_sha256":"93989c991a5842db572f6954518afd5762bb87328f2e2eea3c5efe856f62e307"},"schema_version":"1.0"},"canonical_sha256":"4176420b15ac6db30fd6d75d5c488064199bf440679295a63915033f57983d94","source":{"kind":"arxiv","id":"1312.7323","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.7323","created_at":"2026-05-18T02:48:27Z"},{"alias_kind":"arxiv_version","alias_value":"1312.7323v3","created_at":"2026-05-18T02:48:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.7323","created_at":"2026-05-18T02:48:27Z"},{"alias_kind":"pith_short_12","alias_value":"IF3EECYVVRW3","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"IF3EECYVVRW3GD6W","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"IF3EECYV","created_at":"2026-05-18T12:27:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:IF3EECYVVRW3GD6W25OVYSEAMQ","target":"record","payload":{"canonical_record":{"source":{"id":"1312.7323","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-12-27T19:50:36Z","cross_cats_sorted":[],"title_canon_sha256":"2d74b3a2f199da8555922bba3d8541df557aae3756fc0d1dad5731c97ed9c25b","abstract_canon_sha256":"93989c991a5842db572f6954518afd5762bb87328f2e2eea3c5efe856f62e307"},"schema_version":"1.0"},"canonical_sha256":"4176420b15ac6db30fd6d75d5c488064199bf440679295a63915033f57983d94","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:48:27.160075Z","signature_b64":"ZNwDnsR6CnHxvopFk35UVYDGw8MMgU0aQUCqQWLSpOxhBwZpGjBpaGe+yHdrCRedEDptkxPYmWFu0sxYh1/eCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4176420b15ac6db30fd6d75d5c488064199bf440679295a63915033f57983d94","last_reissued_at":"2026-05-18T02:48:27.157635Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:48:27.157635Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.7323","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:48:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NohtHWTCRaPqBiIQ+2wJ/JO5O2BI7GQh3XJvzxVe59z73FRLo8yEaayBQ1i93VCmjuOGSoFALhVPWC3fQnQ2Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T06:50:38.251237Z"},"content_sha256":"adef46872bef7053a77099298a34ebc7669d62e1bf00d01fe148fcf6804678fe","schema_version":"1.0","event_id":"sha256:adef46872bef7053a77099298a34ebc7669d62e1bf00d01fe148fcf6804678fe"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:IF3EECYVVRW3GD6W25OVYSEAMQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Norm Convergence of Realistic Projection and Reflection Methods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Brailey Sims, Jonathan M. Borwein, Matthew K. Tam","submitted_at":"2013-12-27T19:50:36Z","abstract_excerpt":"We provide sufficient conditions for norm convergence of various projection and reflection methods, as well as giving limiting examples regarding convergence rates."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.7323","kind":"arxiv","version":3},"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":"2026-05-18T02:48:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lpiqc3mOLo9ytuj7hXN53yHOVewD0D3tawR+2mfePK8TWSlaVlS1pqaTOEdzbTkkFzwlvl6VPxygC6PkzXzpDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T06:50:38.252002Z"},"content_sha256":"2dace2f5d9388fcc788e733755d9d332a7755021951228fc626b4956d066c516","schema_version":"1.0","event_id":"sha256:2dace2f5d9388fcc788e733755d9d332a7755021951228fc626b4956d066c516"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IF3EECYVVRW3GD6W25OVYSEAMQ/bundle.json","state_url":"https://pith.science/pith/IF3EECYVVRW3GD6W25OVYSEAMQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IF3EECYVVRW3GD6W25OVYSEAMQ/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":"2026-06-09T06:50:38Z","links":{"resolver":"https://pith.science/pith/IF3EECYVVRW3GD6W25OVYSEAMQ","bundle":"https://pith.science/pith/IF3EECYVVRW3GD6W25OVYSEAMQ/bundle.json","state":"https://pith.science/pith/IF3EECYVVRW3GD6W25OVYSEAMQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IF3EECYVVRW3GD6W25OVYSEAMQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:IF3EECYVVRW3GD6W25OVYSEAMQ","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":"93989c991a5842db572f6954518afd5762bb87328f2e2eea3c5efe856f62e307","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-12-27T19:50:36Z","title_canon_sha256":"2d74b3a2f199da8555922bba3d8541df557aae3756fc0d1dad5731c97ed9c25b"},"schema_version":"1.0","source":{"id":"1312.7323","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.7323","created_at":"2026-05-18T02:48:27Z"},{"alias_kind":"arxiv_version","alias_value":"1312.7323v3","created_at":"2026-05-18T02:48:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.7323","created_at":"2026-05-18T02:48:27Z"},{"alias_kind":"pith_short_12","alias_value":"IF3EECYVVRW3","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"IF3EECYVVRW3GD6W","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"IF3EECYV","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:2dace2f5d9388fcc788e733755d9d332a7755021951228fc626b4956d066c516","target":"graph","created_at":"2026-05-18T02:48:27Z","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 provide sufficient conditions for norm convergence of various projection and reflection methods, as well as giving limiting examples regarding convergence rates.","authors_text":"Brailey Sims, Jonathan M. Borwein, Matthew K. Tam","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-12-27T19:50:36Z","title":"Norm Convergence of Realistic Projection and Reflection Methods"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.7323","kind":"arxiv","version":3},"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:adef46872bef7053a77099298a34ebc7669d62e1bf00d01fe148fcf6804678fe","target":"record","created_at":"2026-05-18T02:48:27Z","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":"93989c991a5842db572f6954518afd5762bb87328f2e2eea3c5efe856f62e307","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-12-27T19:50:36Z","title_canon_sha256":"2d74b3a2f199da8555922bba3d8541df557aae3756fc0d1dad5731c97ed9c25b"},"schema_version":"1.0","source":{"id":"1312.7323","kind":"arxiv","version":3}},"canonical_sha256":"4176420b15ac6db30fd6d75d5c488064199bf440679295a63915033f57983d94","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4176420b15ac6db30fd6d75d5c488064199bf440679295a63915033f57983d94","first_computed_at":"2026-05-18T02:48:27.157635Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:48:27.157635Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZNwDnsR6CnHxvopFk35UVYDGw8MMgU0aQUCqQWLSpOxhBwZpGjBpaGe+yHdrCRedEDptkxPYmWFu0sxYh1/eCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:48:27.160075Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.7323","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:adef46872bef7053a77099298a34ebc7669d62e1bf00d01fe148fcf6804678fe","sha256:2dace2f5d9388fcc788e733755d9d332a7755021951228fc626b4956d066c516"],"state_sha256":"98b598a3c319b58708e67f4a0fb1c876af309acae5292f2e2dbe598c4891cff6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"euQAWIO/xKwxyroGsOMPqeAfMxES+ZxoQXDwtj8/TLOPRJJgbND5zYbPpnxBByUAWevOIABy0QgS2TKmJD8/BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T06:50:38.256274Z","bundle_sha256":"86c88a2c76b73139aa88a9e829264a782462b94f8902af246c3b0a2d4af19654"}}