{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:RQKYZXFTRZS6VKVCBJHG2I3NXC","short_pith_number":"pith:RQKYZXFT","canonical_record":{"source":{"id":"1601.05323","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2016-01-20T16:42:37Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"b472a79e1f92aa006c502926a6a637e4ddc691358cffd4461faf6eb39b2990b9","abstract_canon_sha256":"cffa607ccd61771bb3e5a1c402df189d3ccf707432db23d901a44de6375bad7f"},"schema_version":"1.0"},"canonical_sha256":"8c158cdcb38e65eaaaa20a4e6d236db8907aa57796609b6d10ef2978070b17ff","source":{"kind":"arxiv","id":"1601.05323","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.05323","created_at":"2026-05-18T01:22:15Z"},{"alias_kind":"arxiv_version","alias_value":"1601.05323v1","created_at":"2026-05-18T01:22:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.05323","created_at":"2026-05-18T01:22:15Z"},{"alias_kind":"pith_short_12","alias_value":"RQKYZXFTRZS6","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RQKYZXFTRZS6VKVC","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RQKYZXFT","created_at":"2026-05-18T12:30:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:RQKYZXFTRZS6VKVCBJHG2I3NXC","target":"record","payload":{"canonical_record":{"source":{"id":"1601.05323","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2016-01-20T16:42:37Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"b472a79e1f92aa006c502926a6a637e4ddc691358cffd4461faf6eb39b2990b9","abstract_canon_sha256":"cffa607ccd61771bb3e5a1c402df189d3ccf707432db23d901a44de6375bad7f"},"schema_version":"1.0"},"canonical_sha256":"8c158cdcb38e65eaaaa20a4e6d236db8907aa57796609b6d10ef2978070b17ff","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:15.438681Z","signature_b64":"ZdljF/yQrrboNI2LISpYUQcY4t+bGJaZ7bbUZD1ikbQAVruB0qbCr6N6iyWhq5JBFzdDOGGZ1JF9quGyGywKCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8c158cdcb38e65eaaaa20a4e6d236db8907aa57796609b6d10ef2978070b17ff","last_reissued_at":"2026-05-18T01:22:15.437785Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:15.437785Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.05323","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":"2026-05-18T01:22:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3nKahgwiJbjJ4ameblru+x4bkTR9Kh7gMMQkJqWqq3N7MzUaVu5RPyEEfeDc1Z6NOw/7pLfN8FvgDUFjbEweDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T19:21:38.001304Z"},"content_sha256":"dd08a6c94864e26565cf0b0cfad526645678cf23bee94c36ff7378a216aa0454","schema_version":"1.0","event_id":"sha256:dd08a6c94864e26565cf0b0cfad526645678cf23bee94c36ff7378a216aa0454"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:RQKYZXFTRZS6VKVCBJHG2I3NXC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mocposite functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.HO","authors_text":"Harold P. Boas","submitted_at":"2016-01-20T16:42:37Z","abstract_excerpt":"Traditional mathematical notation can lead to confusion. Expressions that appear to define composite functions sometimes do not. A particular example with engineering applications is studied in detail."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.05323","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":"2026-05-18T01:22:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8GWoM0TjffMrbqk5fNDWZd5dQHNstlY4+jSJkPKCeeBVA0Il3Ze6c6U/zoTEeJf/1/a9mVx+aiyiivSLu6q2Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T19:21:38.001679Z"},"content_sha256":"a9cf3e2f3c0c3ce86babd1849d3ea3348cd0dbeabcbb24faad5b0d90f322c105","schema_version":"1.0","event_id":"sha256:a9cf3e2f3c0c3ce86babd1849d3ea3348cd0dbeabcbb24faad5b0d90f322c105"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RQKYZXFTRZS6VKVCBJHG2I3NXC/bundle.json","state_url":"https://pith.science/pith/RQKYZXFTRZS6VKVCBJHG2I3NXC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RQKYZXFTRZS6VKVCBJHG2I3NXC/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":"2026-06-23T19:21:38Z","links":{"resolver":"https://pith.science/pith/RQKYZXFTRZS6VKVCBJHG2I3NXC","bundle":"https://pith.science/pith/RQKYZXFTRZS6VKVCBJHG2I3NXC/bundle.json","state":"https://pith.science/pith/RQKYZXFTRZS6VKVCBJHG2I3NXC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RQKYZXFTRZS6VKVCBJHG2I3NXC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:RQKYZXFTRZS6VKVCBJHG2I3NXC","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":"cffa607ccd61771bb3e5a1c402df189d3ccf707432db23d901a44de6375bad7f","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2016-01-20T16:42:37Z","title_canon_sha256":"b472a79e1f92aa006c502926a6a637e4ddc691358cffd4461faf6eb39b2990b9"},"schema_version":"1.0","source":{"id":"1601.05323","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.05323","created_at":"2026-05-18T01:22:15Z"},{"alias_kind":"arxiv_version","alias_value":"1601.05323v1","created_at":"2026-05-18T01:22:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.05323","created_at":"2026-05-18T01:22:15Z"},{"alias_kind":"pith_short_12","alias_value":"RQKYZXFTRZS6","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RQKYZXFTRZS6VKVC","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RQKYZXFT","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:a9cf3e2f3c0c3ce86babd1849d3ea3348cd0dbeabcbb24faad5b0d90f322c105","target":"graph","created_at":"2026-05-18T01:22:15Z","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":"Traditional mathematical notation can lead to confusion. Expressions that appear to define composite functions sometimes do not. A particular example with engineering applications is studied in detail.","authors_text":"Harold P. Boas","cross_cats":["math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2016-01-20T16:42:37Z","title":"Mocposite functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.05323","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:dd08a6c94864e26565cf0b0cfad526645678cf23bee94c36ff7378a216aa0454","target":"record","created_at":"2026-05-18T01:22:15Z","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":"cffa607ccd61771bb3e5a1c402df189d3ccf707432db23d901a44de6375bad7f","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2016-01-20T16:42:37Z","title_canon_sha256":"b472a79e1f92aa006c502926a6a637e4ddc691358cffd4461faf6eb39b2990b9"},"schema_version":"1.0","source":{"id":"1601.05323","kind":"arxiv","version":1}},"canonical_sha256":"8c158cdcb38e65eaaaa20a4e6d236db8907aa57796609b6d10ef2978070b17ff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8c158cdcb38e65eaaaa20a4e6d236db8907aa57796609b6d10ef2978070b17ff","first_computed_at":"2026-05-18T01:22:15.437785Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:15.437785Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZdljF/yQrrboNI2LISpYUQcY4t+bGJaZ7bbUZD1ikbQAVruB0qbCr6N6iyWhq5JBFzdDOGGZ1JF9quGyGywKCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:15.438681Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.05323","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dd08a6c94864e26565cf0b0cfad526645678cf23bee94c36ff7378a216aa0454","sha256:a9cf3e2f3c0c3ce86babd1849d3ea3348cd0dbeabcbb24faad5b0d90f322c105"],"state_sha256":"cc9182f4f89cd9c25e7534ea09d61407d3f002a36d9487761fc9d1fba6a1869d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2gFN/dObIUGX+1tkg7c6FCLSXusqIDY0fsorl/A1nsbz8Oobsj6+2Ir0k7oZZvZiSn7kcivADH/G2UwNh6qWBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T19:21:38.003786Z","bundle_sha256":"a4f70ccc035b90128e669636acbfd483e44ea6ad41e305cf1338a8aee9b2d976"}}