{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:NHPPEF5EUJFQ4VWM2NUFBI7ZAJ","short_pith_number":"pith:NHPPEF5E","canonical_record":{"source":{"id":"1708.02897","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-08-09T16:23:40Z","cross_cats_sorted":[],"title_canon_sha256":"a899f00c35f82695d31ac48df6f7099c90d6ee0deae0436bfd1c82b2ee49ee7c","abstract_canon_sha256":"0bdd27f52ebca50ff12be94f80e7e07ea8831f12a877b84aefd210148bddc4f0"},"schema_version":"1.0"},"canonical_sha256":"69def217a4a24b0e56ccd36850a3f90266c72cc0e721dfb344bd3bc9f990e01c","source":{"kind":"arxiv","id":"1708.02897","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.02897","created_at":"2026-05-18T00:38:19Z"},{"alias_kind":"arxiv_version","alias_value":"1708.02897v1","created_at":"2026-05-18T00:38:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.02897","created_at":"2026-05-18T00:38:19Z"},{"alias_kind":"pith_short_12","alias_value":"NHPPEF5EUJFQ","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"NHPPEF5EUJFQ4VWM","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"NHPPEF5E","created_at":"2026-05-18T12:31:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:NHPPEF5EUJFQ4VWM2NUFBI7ZAJ","target":"record","payload":{"canonical_record":{"source":{"id":"1708.02897","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-08-09T16:23:40Z","cross_cats_sorted":[],"title_canon_sha256":"a899f00c35f82695d31ac48df6f7099c90d6ee0deae0436bfd1c82b2ee49ee7c","abstract_canon_sha256":"0bdd27f52ebca50ff12be94f80e7e07ea8831f12a877b84aefd210148bddc4f0"},"schema_version":"1.0"},"canonical_sha256":"69def217a4a24b0e56ccd36850a3f90266c72cc0e721dfb344bd3bc9f990e01c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:38:19.219673Z","signature_b64":"OR72C/3a2LYsk8glbb2ilD9tLgfD+BaCfbqv81Oc87TB9NdN5EhujZIGFLY/2TltlL8Nd+sBNpYYPGE5rF5cAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"69def217a4a24b0e56ccd36850a3f90266c72cc0e721dfb344bd3bc9f990e01c","last_reissued_at":"2026-05-18T00:38:19.218620Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:38:19.218620Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.02897","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":"2026-05-18T00:38:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5KNyUzv92Tp3dYg4cc6318Jr2Lv/vaeeNjRtQgK+swruR6UlonKDnY5yirSqVcdLcKAWpgntoApDU1fkEmUbAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T01:57:39.319090Z"},"content_sha256":"000a6663a2d115b034cb16d8a20c934e6e43cf5ad471d6dbcebd8a1c40e1f6ab","schema_version":"1.0","event_id":"sha256:000a6663a2d115b034cb16d8a20c934e6e43cf5ad471d6dbcebd8a1c40e1f6ab"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:NHPPEF5EUJFQ4VWM2NUFBI7ZAJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"2-local standard isometries on vector-valued Lipschitz function spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Antonio Jim\\'enez-Vargas, Antonio M. Peralta, Lei Li, Liguang Wang, Ya-Shu Wang","submitted_at":"2017-08-09T16:23:40Z","abstract_excerpt":"Under the right conditions on a compact metric space $X$ and on a Banach space $E$, we give a description of the $2$-local (standard) isometries on the Banach space $\\hbox{Lip}(X,E)$ of vector-valued Lipschitz functions from $X$ to $E$ in terms of a generalized composition operator, and we study when every $2$-local (standard) isometry on $\\hbox{Lip}(X,E)$ is both linear and surjective."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.02897","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":"2026-05-18T00:38:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ry/UcHMaldVs2Jgpfgw9qgomHNP5sH4iCqJs6F0gQXmLWVvruEAqXjCRBxU2+mlEziiTzIFar6hEZdXJZSbIAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T01:57:39.319761Z"},"content_sha256":"fe6cbcf897f6ce103f83f73acb28399168555c738b12d1048c972ec0b5375a45","schema_version":"1.0","event_id":"sha256:fe6cbcf897f6ce103f83f73acb28399168555c738b12d1048c972ec0b5375a45"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NHPPEF5EUJFQ4VWM2NUFBI7ZAJ/bundle.json","state_url":"https://pith.science/pith/NHPPEF5EUJFQ4VWM2NUFBI7ZAJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NHPPEF5EUJFQ4VWM2NUFBI7ZAJ/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":"2026-05-31T01:57:39Z","links":{"resolver":"https://pith.science/pith/NHPPEF5EUJFQ4VWM2NUFBI7ZAJ","bundle":"https://pith.science/pith/NHPPEF5EUJFQ4VWM2NUFBI7ZAJ/bundle.json","state":"https://pith.science/pith/NHPPEF5EUJFQ4VWM2NUFBI7ZAJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NHPPEF5EUJFQ4VWM2NUFBI7ZAJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:NHPPEF5EUJFQ4VWM2NUFBI7ZAJ","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":"0bdd27f52ebca50ff12be94f80e7e07ea8831f12a877b84aefd210148bddc4f0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-08-09T16:23:40Z","title_canon_sha256":"a899f00c35f82695d31ac48df6f7099c90d6ee0deae0436bfd1c82b2ee49ee7c"},"schema_version":"1.0","source":{"id":"1708.02897","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.02897","created_at":"2026-05-18T00:38:19Z"},{"alias_kind":"arxiv_version","alias_value":"1708.02897v1","created_at":"2026-05-18T00:38:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.02897","created_at":"2026-05-18T00:38:19Z"},{"alias_kind":"pith_short_12","alias_value":"NHPPEF5EUJFQ","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"NHPPEF5EUJFQ4VWM","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"NHPPEF5E","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:fe6cbcf897f6ce103f83f73acb28399168555c738b12d1048c972ec0b5375a45","target":"graph","created_at":"2026-05-18T00:38:19Z","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":"Under the right conditions on a compact metric space $X$ and on a Banach space $E$, we give a description of the $2$-local (standard) isometries on the Banach space $\\hbox{Lip}(X,E)$ of vector-valued Lipschitz functions from $X$ to $E$ in terms of a generalized composition operator, and we study when every $2$-local (standard) isometry on $\\hbox{Lip}(X,E)$ is both linear and surjective.","authors_text":"Antonio Jim\\'enez-Vargas, Antonio M. Peralta, Lei Li, Liguang Wang, Ya-Shu Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-08-09T16:23:40Z","title":"2-local standard isometries on vector-valued Lipschitz function spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.02897","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":"sha256:000a6663a2d115b034cb16d8a20c934e6e43cf5ad471d6dbcebd8a1c40e1f6ab","target":"record","created_at":"2026-05-18T00:38:19Z","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":"0bdd27f52ebca50ff12be94f80e7e07ea8831f12a877b84aefd210148bddc4f0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-08-09T16:23:40Z","title_canon_sha256":"a899f00c35f82695d31ac48df6f7099c90d6ee0deae0436bfd1c82b2ee49ee7c"},"schema_version":"1.0","source":{"id":"1708.02897","kind":"arxiv","version":1}},"canonical_sha256":"69def217a4a24b0e56ccd36850a3f90266c72cc0e721dfb344bd3bc9f990e01c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"69def217a4a24b0e56ccd36850a3f90266c72cc0e721dfb344bd3bc9f990e01c","first_computed_at":"2026-05-18T00:38:19.218620Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:19.218620Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OR72C/3a2LYsk8glbb2ilD9tLgfD+BaCfbqv81Oc87TB9NdN5EhujZIGFLY/2TltlL8Nd+sBNpYYPGE5rF5cAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:19.219673Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.02897","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:000a6663a2d115b034cb16d8a20c934e6e43cf5ad471d6dbcebd8a1c40e1f6ab","sha256:fe6cbcf897f6ce103f83f73acb28399168555c738b12d1048c972ec0b5375a45"],"state_sha256":"b1646f5ae21ef10ed2fdb58a09425a873dbb6c79cc8c59f3a1e314a93f4804a9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IaHjWYrZyd5T9skszCnzPWeAQ+nxtr1b6R23B5vnppWYa5DFnur2Yd6RbRu0bmAvs+B1sjtyMzvn003NA91uAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T01:57:39.323337Z","bundle_sha256":"0834f77e22f6bc37752714d2d6d7b77aeb01e6436a895c127f19169d5819bbe0"}}