{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:6GSPHQXKTC3GHCLDHHAW4QY4ZI","short_pith_number":"pith:6GSPHQXK","canonical_record":{"source":{"id":"1309.5715","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-09-23T07:24:05Z","cross_cats_sorted":[],"title_canon_sha256":"eb4c17968e68359db914f9cfe75f959cf232606543e56be6c9ac9e7639891e9c","abstract_canon_sha256":"d1f18e34c5048dc8bc69849d2bf710f4f6a948f6bed004d4ec3a1645c297f5b1"},"schema_version":"1.0"},"canonical_sha256":"f1a4f3c2ea98b663896339c16e431cca2d5c21305207845d3fa99e62a38e972e","source":{"kind":"arxiv","id":"1309.5715","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.5715","created_at":"2026-05-18T01:34:13Z"},{"alias_kind":"arxiv_version","alias_value":"1309.5715v1","created_at":"2026-05-18T01:34:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.5715","created_at":"2026-05-18T01:34:13Z"},{"alias_kind":"pith_short_12","alias_value":"6GSPHQXKTC3G","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"6GSPHQXKTC3GHCLD","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"6GSPHQXK","created_at":"2026-05-18T12:27:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:6GSPHQXKTC3GHCLDHHAW4QY4ZI","target":"record","payload":{"canonical_record":{"source":{"id":"1309.5715","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-09-23T07:24:05Z","cross_cats_sorted":[],"title_canon_sha256":"eb4c17968e68359db914f9cfe75f959cf232606543e56be6c9ac9e7639891e9c","abstract_canon_sha256":"d1f18e34c5048dc8bc69849d2bf710f4f6a948f6bed004d4ec3a1645c297f5b1"},"schema_version":"1.0"},"canonical_sha256":"f1a4f3c2ea98b663896339c16e431cca2d5c21305207845d3fa99e62a38e972e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:13.683053Z","signature_b64":"yZDVVf+zK3XThh5d0m1M0U1s9QTSi3m9YIinL9mw52Msk3a+NaMVWNsrAO4Rp7XSa3LjFAfwKHjU6Qj4Ci/IDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f1a4f3c2ea98b663896339c16e431cca2d5c21305207845d3fa99e62a38e972e","last_reissued_at":"2026-05-18T01:34:13.682338Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:13.682338Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.5715","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":"2026-05-18T01:34:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"76Isb72JR2/f6Xl2MNdtr+WufjllL/GdpTj4mmqhqVFCg42J8mu1JaKFLgOHbZF+hnhuHqYsuulURHzcShMCAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T20:00:00.214006Z"},"content_sha256":"63a5cf978d1a1339f6884fc594e7c00d9193a697e61ec6ee2597521c1c9e44a4","schema_version":"1.0","event_id":"sha256:63a5cf978d1a1339f6884fc594e7c00d9193a697e61ec6ee2597521c1c9e44a4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:6GSPHQXKTC3GHCLDHHAW4QY4ZI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Flett's mean value theorem: a survey","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Jana Moln\\'arov\\'a, Ondrej Hutn\\'ik","submitted_at":"2013-09-23T07:24:05Z","abstract_excerpt":"This paper reviews the current state of the art of the mean value theorem due to Thomas M. Flett. We present the results with detailed proofs and provide many new proofs of known results. Moreover, some new observations and yet unpublished results are included."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.5715","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":"2026-05-18T01:34:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5sNpXub3xCmr25bmulWU87pnxk01iJX1qW1dwg01RuqO5ktO9r48qyt5khHqi7SOi5D4j9056Wcc5JqAagCyCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T20:00:00.214701Z"},"content_sha256":"1e17f774546e2f4d30be5bfba9b1bfbf6bc9387a96322782e68e0b3a1b84eb37","schema_version":"1.0","event_id":"sha256:1e17f774546e2f4d30be5bfba9b1bfbf6bc9387a96322782e68e0b3a1b84eb37"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6GSPHQXKTC3GHCLDHHAW4QY4ZI/bundle.json","state_url":"https://pith.science/pith/6GSPHQXKTC3GHCLDHHAW4QY4ZI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6GSPHQXKTC3GHCLDHHAW4QY4ZI/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":"2026-06-06T20:00:00Z","links":{"resolver":"https://pith.science/pith/6GSPHQXKTC3GHCLDHHAW4QY4ZI","bundle":"https://pith.science/pith/6GSPHQXKTC3GHCLDHHAW4QY4ZI/bundle.json","state":"https://pith.science/pith/6GSPHQXKTC3GHCLDHHAW4QY4ZI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6GSPHQXKTC3GHCLDHHAW4QY4ZI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:6GSPHQXKTC3GHCLDHHAW4QY4ZI","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":"d1f18e34c5048dc8bc69849d2bf710f4f6a948f6bed004d4ec3a1645c297f5b1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-09-23T07:24:05Z","title_canon_sha256":"eb4c17968e68359db914f9cfe75f959cf232606543e56be6c9ac9e7639891e9c"},"schema_version":"1.0","source":{"id":"1309.5715","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.5715","created_at":"2026-05-18T01:34:13Z"},{"alias_kind":"arxiv_version","alias_value":"1309.5715v1","created_at":"2026-05-18T01:34:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.5715","created_at":"2026-05-18T01:34:13Z"},{"alias_kind":"pith_short_12","alias_value":"6GSPHQXKTC3G","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"6GSPHQXKTC3GHCLD","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"6GSPHQXK","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:1e17f774546e2f4d30be5bfba9b1bfbf6bc9387a96322782e68e0b3a1b84eb37","target":"graph","created_at":"2026-05-18T01:34:13Z","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":"This paper reviews the current state of the art of the mean value theorem due to Thomas M. Flett. We present the results with detailed proofs and provide many new proofs of known results. Moreover, some new observations and yet unpublished results are included.","authors_text":"Jana Moln\\'arov\\'a, Ondrej Hutn\\'ik","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-09-23T07:24:05Z","title":"Flett's mean value theorem: a survey"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.5715","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":"sha256:63a5cf978d1a1339f6884fc594e7c00d9193a697e61ec6ee2597521c1c9e44a4","target":"record","created_at":"2026-05-18T01:34:13Z","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":"d1f18e34c5048dc8bc69849d2bf710f4f6a948f6bed004d4ec3a1645c297f5b1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-09-23T07:24:05Z","title_canon_sha256":"eb4c17968e68359db914f9cfe75f959cf232606543e56be6c9ac9e7639891e9c"},"schema_version":"1.0","source":{"id":"1309.5715","kind":"arxiv","version":1}},"canonical_sha256":"f1a4f3c2ea98b663896339c16e431cca2d5c21305207845d3fa99e62a38e972e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f1a4f3c2ea98b663896339c16e431cca2d5c21305207845d3fa99e62a38e972e","first_computed_at":"2026-05-18T01:34:13.682338Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:13.682338Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yZDVVf+zK3XThh5d0m1M0U1s9QTSi3m9YIinL9mw52Msk3a+NaMVWNsrAO4Rp7XSa3LjFAfwKHjU6Qj4Ci/IDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:13.683053Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.5715","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:63a5cf978d1a1339f6884fc594e7c00d9193a697e61ec6ee2597521c1c9e44a4","sha256:1e17f774546e2f4d30be5bfba9b1bfbf6bc9387a96322782e68e0b3a1b84eb37"],"state_sha256":"8473c7ac81f51f5092b4ca3020414793f96d2784d1cf38df930768e97ba84958"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4bUOYvsSdcDY0/HVS6itHmLl4SqJI/8oH8IpP1xZNI3kSJlgfie/sp+4DyscImYW51SA/tHsrCG4ieyl0j/BCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T20:00:00.218106Z","bundle_sha256":"22bebbc0009e20792180c286373c5ec851ef0c939deb7c295a2384da479c56ac"}}