{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:FWIVITKH34KP7ARXU4EYT2H6PI","short_pith_number":"pith:FWIVITKH","canonical_record":{"source":{"id":"1101.1800","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2011-01-10T13:03:23Z","cross_cats_sorted":["math.HO","math.NT"],"title_canon_sha256":"48faed0d858ebacefe00e9f3ddc3e366c4fbc068e99bfcbe51713c05e324ea49","abstract_canon_sha256":"c8a560b4d9f99f08499348e52807e46038ce961759ebe029ad4a8e80863964a8"},"schema_version":"1.0"},"canonical_sha256":"2d91544d47df14ff8237a70989e8fe7a329011413468873a47a59aa64fb8d5ed","source":{"kind":"arxiv","id":"1101.1800","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.1800","created_at":"2026-05-18T04:27:17Z"},{"alias_kind":"arxiv_version","alias_value":"1101.1800v3","created_at":"2026-05-18T04:27:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.1800","created_at":"2026-05-18T04:27:17Z"},{"alias_kind":"pith_short_12","alias_value":"FWIVITKH34KP","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"FWIVITKH34KP7ARX","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"FWIVITKH","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:FWIVITKH34KP7ARXU4EYT2H6PI","target":"record","payload":{"canonical_record":{"source":{"id":"1101.1800","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2011-01-10T13:03:23Z","cross_cats_sorted":["math.HO","math.NT"],"title_canon_sha256":"48faed0d858ebacefe00e9f3ddc3e366c4fbc068e99bfcbe51713c05e324ea49","abstract_canon_sha256":"c8a560b4d9f99f08499348e52807e46038ce961759ebe029ad4a8e80863964a8"},"schema_version":"1.0"},"canonical_sha256":"2d91544d47df14ff8237a70989e8fe7a329011413468873a47a59aa64fb8d5ed","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:27:17.610125Z","signature_b64":"to+HDmcLZwlCxA2Yi133i5d1uBNvWsCNiY6qBzb5ehB9u7XyKsQCfXQkxhW0yVD6El7qrWTu401xKwC2FFA9CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2d91544d47df14ff8237a70989e8fe7a329011413468873a47a59aa64fb8d5ed","last_reissued_at":"2026-05-18T04:27:17.609662Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:27:17.609662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1101.1800","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":"2026-05-18T04:27:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pHIGNkfAxvPOU0/BsBv0rM0pGfKXjTbIiZKUy1QiEnyHldKqyIbQ3hT+Z9fC8NzIckv+ZB355D+VysSWpxqoDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T10:46:57.256384Z"},"content_sha256":"1ac0f54c6bfd8163514cab14456e2fa11a5ae7c9d8337bda969bb82be48cdcfd","schema_version":"1.0","event_id":"sha256:1ac0f54c6bfd8163514cab14456e2fa11a5ae7c9d8337bda969bb82be48cdcfd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:FWIVITKH34KP7ARXU4EYT2H6PI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A new approach to the real numbers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.HO","math.NT"],"primary_cat":"math.CA","authors_text":"Liangpan Li","submitted_at":"2011-01-10T13:03:23Z","abstract_excerpt":"In this paper we provide a complete approach to the real numbers via decimal representations. Construction of the real numbers by Dedekind cuts, Cauchy sequences of rational numbers, and the algebraic characterization of the real number system by the concept of complete ordered field are also well explained in the new setting."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.1800","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":"2026-05-18T04:27:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+Ot1kDw1bwQ2uF4CCRSE0Y9V99rgxzISTT6s1f0Klj09l3KMW1EQOqhwl0su86Lel4wF7O/DD1kg9ijj+ZWbAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T10:46:57.256736Z"},"content_sha256":"4f8f52d35e8d8bb9bf927ddf737d2ef9a2bc7835406318ef507e146e87f708fb","schema_version":"1.0","event_id":"sha256:4f8f52d35e8d8bb9bf927ddf737d2ef9a2bc7835406318ef507e146e87f708fb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FWIVITKH34KP7ARXU4EYT2H6PI/bundle.json","state_url":"https://pith.science/pith/FWIVITKH34KP7ARXU4EYT2H6PI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FWIVITKH34KP7ARXU4EYT2H6PI/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":"2026-05-28T10:46:57Z","links":{"resolver":"https://pith.science/pith/FWIVITKH34KP7ARXU4EYT2H6PI","bundle":"https://pith.science/pith/FWIVITKH34KP7ARXU4EYT2H6PI/bundle.json","state":"https://pith.science/pith/FWIVITKH34KP7ARXU4EYT2H6PI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FWIVITKH34KP7ARXU4EYT2H6PI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:FWIVITKH34KP7ARXU4EYT2H6PI","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":"c8a560b4d9f99f08499348e52807e46038ce961759ebe029ad4a8e80863964a8","cross_cats_sorted":["math.HO","math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2011-01-10T13:03:23Z","title_canon_sha256":"48faed0d858ebacefe00e9f3ddc3e366c4fbc068e99bfcbe51713c05e324ea49"},"schema_version":"1.0","source":{"id":"1101.1800","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.1800","created_at":"2026-05-18T04:27:17Z"},{"alias_kind":"arxiv_version","alias_value":"1101.1800v3","created_at":"2026-05-18T04:27:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.1800","created_at":"2026-05-18T04:27:17Z"},{"alias_kind":"pith_short_12","alias_value":"FWIVITKH34KP","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"FWIVITKH34KP7ARX","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"FWIVITKH","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:4f8f52d35e8d8bb9bf927ddf737d2ef9a2bc7835406318ef507e146e87f708fb","target":"graph","created_at":"2026-05-18T04:27:17Z","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":"In this paper we provide a complete approach to the real numbers via decimal representations. Construction of the real numbers by Dedekind cuts, Cauchy sequences of rational numbers, and the algebraic characterization of the real number system by the concept of complete ordered field are also well explained in the new setting.","authors_text":"Liangpan Li","cross_cats":["math.HO","math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2011-01-10T13:03:23Z","title":"A new approach to the real numbers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.1800","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":"sha256:1ac0f54c6bfd8163514cab14456e2fa11a5ae7c9d8337bda969bb82be48cdcfd","target":"record","created_at":"2026-05-18T04:27:17Z","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":"c8a560b4d9f99f08499348e52807e46038ce961759ebe029ad4a8e80863964a8","cross_cats_sorted":["math.HO","math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2011-01-10T13:03:23Z","title_canon_sha256":"48faed0d858ebacefe00e9f3ddc3e366c4fbc068e99bfcbe51713c05e324ea49"},"schema_version":"1.0","source":{"id":"1101.1800","kind":"arxiv","version":3}},"canonical_sha256":"2d91544d47df14ff8237a70989e8fe7a329011413468873a47a59aa64fb8d5ed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2d91544d47df14ff8237a70989e8fe7a329011413468873a47a59aa64fb8d5ed","first_computed_at":"2026-05-18T04:27:17.609662Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:27:17.609662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"to+HDmcLZwlCxA2Yi133i5d1uBNvWsCNiY6qBzb5ehB9u7XyKsQCfXQkxhW0yVD6El7qrWTu401xKwC2FFA9CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:27:17.610125Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.1800","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ac0f54c6bfd8163514cab14456e2fa11a5ae7c9d8337bda969bb82be48cdcfd","sha256:4f8f52d35e8d8bb9bf927ddf737d2ef9a2bc7835406318ef507e146e87f708fb"],"state_sha256":"81b54abc8a928d5406d409dca569b9a26cf779c8d79deaebfa736decc6cf3a2b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LZ6KBpRylVbDq14Gk3wyjIIb+ZBoDHWiUC5alP/xBpi02UoTXLv4E7OaROSkxQFPdT59Oir22UsI3M+4Gi0rCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T10:46:57.258684Z","bundle_sha256":"25e510e79831f1270f0935d0f3cd5944400087cfc10bdd6fa1fd41941a1c0eae"}}