{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1997:A4DYWK3NECWWQBSZFMAOCTHUSH","short_pith_number":"pith:A4DYWK3N","canonical_record":{"source":{"id":"math/9707208","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.FA","submitted_at":"1997-07-04T00:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"d0719588357b8c9e51717123d4072a82c4be1e2bed0572ff3a9fdf40155aefac","abstract_canon_sha256":"227ab44cd713e26bbbb3f0c7f3a25829865793ebdfd2464ddfedc6fc5db03d2f"},"schema_version":"1.0"},"canonical_sha256":"07078b2b6d20ad6806592b00e14cf491e66d6eb9a2a6bf527ebc40a6e08f381d","source":{"kind":"arxiv","id":"math/9707208","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9707208","created_at":"2026-05-18T01:05:35Z"},{"alias_kind":"arxiv_version","alias_value":"math/9707208v1","created_at":"2026-05-18T01:05:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9707208","created_at":"2026-05-18T01:05:35Z"},{"alias_kind":"pith_short_12","alias_value":"A4DYWK3NECWW","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"A4DYWK3NECWWQBSZ","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"A4DYWK3N","created_at":"2026-05-18T12:25:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1997:A4DYWK3NECWWQBSZFMAOCTHUSH","target":"record","payload":{"canonical_record":{"source":{"id":"math/9707208","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.FA","submitted_at":"1997-07-04T00:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"d0719588357b8c9e51717123d4072a82c4be1e2bed0572ff3a9fdf40155aefac","abstract_canon_sha256":"227ab44cd713e26bbbb3f0c7f3a25829865793ebdfd2464ddfedc6fc5db03d2f"},"schema_version":"1.0"},"canonical_sha256":"07078b2b6d20ad6806592b00e14cf491e66d6eb9a2a6bf527ebc40a6e08f381d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:35.065040Z","signature_b64":"v4+9d+6B7UM5EXj3MoVkQtFxppHYy1KZ/exzOsupCFk30RcK2v9xgz7e8q2BBYtNUMDDMQNGzob7f7RelpnMCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"07078b2b6d20ad6806592b00e14cf491e66d6eb9a2a6bf527ebc40a6e08f381d","last_reissued_at":"2026-05-18T01:05:35.064429Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:35.064429Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/9707208","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":"2026-05-18T01:05:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WhMOgRTt9boLCtw8Ta9rF+NoW00ICOmvleDYUbwbyZnrw+EQDaS6snsXndh9vznCHh3SaD80WAHdU1zx6zN1Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T19:18:50.171497Z"},"content_sha256":"f87e9bae41eeb263bd931ea330e82944c793eaf8116b2ad7d946a00c5d344d79","schema_version":"1.0","event_id":"sha256:f87e9bae41eeb263bd931ea330e82944c793eaf8116b2ad7d946a00c5d344d79"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1997:A4DYWK3NECWWQBSZFMAOCTHUSH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Diameter preserving linear bijections of $C(X)$","license":"","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Lajos Molnar, M. Gyory","submitted_at":"1997-07-04T00:00:00Z","abstract_excerpt":"The aim of this paper is to solve a linear preserver problem on the function algebra $C(X)$. We show that in case $X$ is a first countable compact Hausdorff space, every linear bijection $\\phi:C(X)\\to C(X)$ having the property that $diam(\\phi(f)(X))=diam(f(X))$ $(f\\in C(X))$ is of the form \\[ \\phi(f)=\\tau \\cdot f\\circ \\varphi +t(f)1 \\qquad (f\\in C(X)) \\] where $\\tau$ is a complex number of modulus 1, $\\varphi:X\\to X$ is a homeomorphism and $t$ is a linear functional on $C(X)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9707208","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":"2026-05-18T01:05:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o/cQNOdWP+O01gJtu8xxgv3pn+2zXh2dd4/UvPvqE8ucUEg2sD0qwDSJxClIZ/SRXgLi4GMedp6PRwB7hHrbBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T19:18:50.172120Z"},"content_sha256":"2238c777432fbdef42be59f6970a02894149207b96fd5a5c4586bbfa5c42c48b","schema_version":"1.0","event_id":"sha256:2238c777432fbdef42be59f6970a02894149207b96fd5a5c4586bbfa5c42c48b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A4DYWK3NECWWQBSZFMAOCTHUSH/bundle.json","state_url":"https://pith.science/pith/A4DYWK3NECWWQBSZFMAOCTHUSH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A4DYWK3NECWWQBSZFMAOCTHUSH/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":"2026-06-05T19:18:50Z","links":{"resolver":"https://pith.science/pith/A4DYWK3NECWWQBSZFMAOCTHUSH","bundle":"https://pith.science/pith/A4DYWK3NECWWQBSZFMAOCTHUSH/bundle.json","state":"https://pith.science/pith/A4DYWK3NECWWQBSZFMAOCTHUSH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A4DYWK3NECWWQBSZFMAOCTHUSH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:A4DYWK3NECWWQBSZFMAOCTHUSH","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":"227ab44cd713e26bbbb3f0c7f3a25829865793ebdfd2464ddfedc6fc5db03d2f","cross_cats_sorted":[],"license":"","primary_cat":"math.FA","submitted_at":"1997-07-04T00:00:00Z","title_canon_sha256":"d0719588357b8c9e51717123d4072a82c4be1e2bed0572ff3a9fdf40155aefac"},"schema_version":"1.0","source":{"id":"math/9707208","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9707208","created_at":"2026-05-18T01:05:35Z"},{"alias_kind":"arxiv_version","alias_value":"math/9707208v1","created_at":"2026-05-18T01:05:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9707208","created_at":"2026-05-18T01:05:35Z"},{"alias_kind":"pith_short_12","alias_value":"A4DYWK3NECWW","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"A4DYWK3NECWWQBSZ","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"A4DYWK3N","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:2238c777432fbdef42be59f6970a02894149207b96fd5a5c4586bbfa5c42c48b","target":"graph","created_at":"2026-05-18T01:05:35Z","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":"The aim of this paper is to solve a linear preserver problem on the function algebra $C(X)$. We show that in case $X$ is a first countable compact Hausdorff space, every linear bijection $\\phi:C(X)\\to C(X)$ having the property that $diam(\\phi(f)(X))=diam(f(X))$ $(f\\in C(X))$ is of the form \\[ \\phi(f)=\\tau \\cdot f\\circ \\varphi +t(f)1 \\qquad (f\\in C(X)) \\] where $\\tau$ is a complex number of modulus 1, $\\varphi:X\\to X$ is a homeomorphism and $t$ is a linear functional on $C(X)$.","authors_text":"Lajos Molnar, M. Gyory","cross_cats":[],"headline":"","license":"","primary_cat":"math.FA","submitted_at":"1997-07-04T00:00:00Z","title":"Diameter preserving linear bijections of $C(X)$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9707208","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:f87e9bae41eeb263bd931ea330e82944c793eaf8116b2ad7d946a00c5d344d79","target":"record","created_at":"2026-05-18T01:05:35Z","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":"227ab44cd713e26bbbb3f0c7f3a25829865793ebdfd2464ddfedc6fc5db03d2f","cross_cats_sorted":[],"license":"","primary_cat":"math.FA","submitted_at":"1997-07-04T00:00:00Z","title_canon_sha256":"d0719588357b8c9e51717123d4072a82c4be1e2bed0572ff3a9fdf40155aefac"},"schema_version":"1.0","source":{"id":"math/9707208","kind":"arxiv","version":1}},"canonical_sha256":"07078b2b6d20ad6806592b00e14cf491e66d6eb9a2a6bf527ebc40a6e08f381d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"07078b2b6d20ad6806592b00e14cf491e66d6eb9a2a6bf527ebc40a6e08f381d","first_computed_at":"2026-05-18T01:05:35.064429Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:35.064429Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v4+9d+6B7UM5EXj3MoVkQtFxppHYy1KZ/exzOsupCFk30RcK2v9xgz7e8q2BBYtNUMDDMQNGzob7f7RelpnMCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:35.065040Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/9707208","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f87e9bae41eeb263bd931ea330e82944c793eaf8116b2ad7d946a00c5d344d79","sha256:2238c777432fbdef42be59f6970a02894149207b96fd5a5c4586bbfa5c42c48b"],"state_sha256":"27488debd1b4f3b5688054300480546d7789386a52b1f614c321cef842442b63"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G4nkKzF8CsEfqzN9EbMhMqjoNvF+4q158a2DImLPcjd4vaJ2qrhzo/k9YZrypIxUaXi6vi5H6zADY1wNB4zyAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T19:18:50.175609Z","bundle_sha256":"cbfcc4d92399d84694834f6b8c57307ffdb42ed58208718d72de13a0aa2b955d"}}