{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:CVYV5BSP6SPSBN6BELIL4RXDLN","short_pith_number":"pith:CVYV5BSP","canonical_record":{"source":{"id":"1203.4167","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GM","submitted_at":"2012-03-12T22:14:00Z","cross_cats_sorted":[],"title_canon_sha256":"c305307be189314faedf31c959dc30d4cfb8682efbf62b5a0f328691a943e86c","abstract_canon_sha256":"463c5d06e14f709250c3003d1ba2a36ed0258b5f516f2c1610b7ebd20374f621"},"schema_version":"1.0"},"canonical_sha256":"15715e864ff49f20b7c122d0be46e35b73782717013cff4ebbec01d59b8bbd19","source":{"kind":"arxiv","id":"1203.4167","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.4167","created_at":"2026-05-18T03:59:48Z"},{"alias_kind":"arxiv_version","alias_value":"1203.4167v1","created_at":"2026-05-18T03:59:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.4167","created_at":"2026-05-18T03:59:48Z"},{"alias_kind":"pith_short_12","alias_value":"CVYV5BSP6SPS","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"CVYV5BSP6SPSBN6B","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"CVYV5BSP","created_at":"2026-05-18T12:27:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:CVYV5BSP6SPSBN6BELIL4RXDLN","target":"record","payload":{"canonical_record":{"source":{"id":"1203.4167","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GM","submitted_at":"2012-03-12T22:14:00Z","cross_cats_sorted":[],"title_canon_sha256":"c305307be189314faedf31c959dc30d4cfb8682efbf62b5a0f328691a943e86c","abstract_canon_sha256":"463c5d06e14f709250c3003d1ba2a36ed0258b5f516f2c1610b7ebd20374f621"},"schema_version":"1.0"},"canonical_sha256":"15715e864ff49f20b7c122d0be46e35b73782717013cff4ebbec01d59b8bbd19","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:59:48.165970Z","signature_b64":"v0S/Wli2Ejx5RCygZobk5YaIm99ZUQ6wIm5csUl8Q0rBQuiIT/pMwBb1VZamKjCNDzIm1WhO4Q90kEDMPPU5CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"15715e864ff49f20b7c122d0be46e35b73782717013cff4ebbec01d59b8bbd19","last_reissued_at":"2026-05-18T03:59:48.165552Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:59:48.165552Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.4167","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":"2026-05-18T03:59:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nzeyebSVqDCJtXMMaC8RPCNO1nARyOxFzlQBbBxg1ossEI1EEbonUhV+BBRDUyKicDTnubFbPcfAaCz2p+xrAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T13:02:01.668150Z"},"content_sha256":"eb6ccb9e937ba59e781f38d8e9440a5eef3126fe6c916d79e108068df0e66ec0","schema_version":"1.0","event_id":"sha256:eb6ccb9e937ba59e781f38d8e9440a5eef3126fe6c916d79e108068df0e66ec0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:CVYV5BSP6SPSBN6BELIL4RXDLN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Extracting squares from any quadrilateral","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GM","authors_text":"Pierre Godard","submitted_at":"2012-03-12T22:14:00Z","abstract_excerpt":"A procedure that generates parallelograms from any quadrilateral is presented. If the original quadrilateral is itself a parallelogram, then the procedure gives squares. Hence, when applied two times, this procedure generates squares from any quadrilateral. The proof needs only undergraduate level."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.4167","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":"2026-05-18T03:59:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iVnx/OueTfbE6A/TN4txsTxqxGkq9wiZZOA8htklDWs9L2dfR5Wr7WzoeV3VGNnb0KTFZx2PP/dkTAlr9c+lDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T13:02:01.668792Z"},"content_sha256":"8ded960d6c6062173fe0186f36c8b9f791e23091ed8a84cef0a7f791cf88b841","schema_version":"1.0","event_id":"sha256:8ded960d6c6062173fe0186f36c8b9f791e23091ed8a84cef0a7f791cf88b841"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CVYV5BSP6SPSBN6BELIL4RXDLN/bundle.json","state_url":"https://pith.science/pith/CVYV5BSP6SPSBN6BELIL4RXDLN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CVYV5BSP6SPSBN6BELIL4RXDLN/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":"2026-05-25T13:02:01Z","links":{"resolver":"https://pith.science/pith/CVYV5BSP6SPSBN6BELIL4RXDLN","bundle":"https://pith.science/pith/CVYV5BSP6SPSBN6BELIL4RXDLN/bundle.json","state":"https://pith.science/pith/CVYV5BSP6SPSBN6BELIL4RXDLN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CVYV5BSP6SPSBN6BELIL4RXDLN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:CVYV5BSP6SPSBN6BELIL4RXDLN","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":"463c5d06e14f709250c3003d1ba2a36ed0258b5f516f2c1610b7ebd20374f621","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GM","submitted_at":"2012-03-12T22:14:00Z","title_canon_sha256":"c305307be189314faedf31c959dc30d4cfb8682efbf62b5a0f328691a943e86c"},"schema_version":"1.0","source":{"id":"1203.4167","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.4167","created_at":"2026-05-18T03:59:48Z"},{"alias_kind":"arxiv_version","alias_value":"1203.4167v1","created_at":"2026-05-18T03:59:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.4167","created_at":"2026-05-18T03:59:48Z"},{"alias_kind":"pith_short_12","alias_value":"CVYV5BSP6SPS","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"CVYV5BSP6SPSBN6B","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"CVYV5BSP","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:8ded960d6c6062173fe0186f36c8b9f791e23091ed8a84cef0a7f791cf88b841","target":"graph","created_at":"2026-05-18T03:59:48Z","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":"A procedure that generates parallelograms from any quadrilateral is presented. If the original quadrilateral is itself a parallelogram, then the procedure gives squares. Hence, when applied two times, this procedure generates squares from any quadrilateral. The proof needs only undergraduate level.","authors_text":"Pierre Godard","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GM","submitted_at":"2012-03-12T22:14:00Z","title":"Extracting squares from any quadrilateral"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.4167","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:eb6ccb9e937ba59e781f38d8e9440a5eef3126fe6c916d79e108068df0e66ec0","target":"record","created_at":"2026-05-18T03:59:48Z","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":"463c5d06e14f709250c3003d1ba2a36ed0258b5f516f2c1610b7ebd20374f621","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GM","submitted_at":"2012-03-12T22:14:00Z","title_canon_sha256":"c305307be189314faedf31c959dc30d4cfb8682efbf62b5a0f328691a943e86c"},"schema_version":"1.0","source":{"id":"1203.4167","kind":"arxiv","version":1}},"canonical_sha256":"15715e864ff49f20b7c122d0be46e35b73782717013cff4ebbec01d59b8bbd19","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"15715e864ff49f20b7c122d0be46e35b73782717013cff4ebbec01d59b8bbd19","first_computed_at":"2026-05-18T03:59:48.165552Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:59:48.165552Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v0S/Wli2Ejx5RCygZobk5YaIm99ZUQ6wIm5csUl8Q0rBQuiIT/pMwBb1VZamKjCNDzIm1WhO4Q90kEDMPPU5CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:59:48.165970Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.4167","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eb6ccb9e937ba59e781f38d8e9440a5eef3126fe6c916d79e108068df0e66ec0","sha256:8ded960d6c6062173fe0186f36c8b9f791e23091ed8a84cef0a7f791cf88b841"],"state_sha256":"d45a545979bf658d291583a6f9614917b30e6b938f90759bf18f9261f8707bf9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IHKocsH9NANosCYt5gt+VGrsNAZLXQgblraRL8fchfqUuZF6AXiSXNNQkRfEkJCxyvX+XQzN6FRTx1CA8qDoAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T13:02:01.672580Z","bundle_sha256":"367d70d6014e0c77bb834c5e91fff9a58600960bdc63c0db83eb1812f0ab991c"}}