{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:R7JHUTFLVJYC6AW5NEWUXBTIW2","short_pith_number":"pith:R7JHUTFL","canonical_record":{"source":{"id":"1112.1296","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2011-12-06T14:48:08Z","cross_cats_sorted":[],"title_canon_sha256":"54ddd8629a870ab90b89c96942b58b78bca8dc486caff38a62e1eec158f69b6b","abstract_canon_sha256":"b2034cca4e19769ced4f8fdd3ef94c85e6f6d617acb5bae8a95311d7a82aa0c4"},"schema_version":"1.0"},"canonical_sha256":"8fd27a4cabaa702f02dd692d4b8668b6a03b0be7273e9fc34c8fd4094b878bcf","source":{"kind":"arxiv","id":"1112.1296","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.1296","created_at":"2026-05-18T04:06:55Z"},{"alias_kind":"arxiv_version","alias_value":"1112.1296v1","created_at":"2026-05-18T04:06:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.1296","created_at":"2026-05-18T04:06:55Z"},{"alias_kind":"pith_short_12","alias_value":"R7JHUTFLVJYC","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"R7JHUTFLVJYC6AW5","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"R7JHUTFL","created_at":"2026-05-18T12:26:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:R7JHUTFLVJYC6AW5NEWUXBTIW2","target":"record","payload":{"canonical_record":{"source":{"id":"1112.1296","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2011-12-06T14:48:08Z","cross_cats_sorted":[],"title_canon_sha256":"54ddd8629a870ab90b89c96942b58b78bca8dc486caff38a62e1eec158f69b6b","abstract_canon_sha256":"b2034cca4e19769ced4f8fdd3ef94c85e6f6d617acb5bae8a95311d7a82aa0c4"},"schema_version":"1.0"},"canonical_sha256":"8fd27a4cabaa702f02dd692d4b8668b6a03b0be7273e9fc34c8fd4094b878bcf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:06:55.765153Z","signature_b64":"TTPfXIqmwuaWGaKl6QQKqFok77AfLCmQdMld4IlizTeWKiwRmGRpWS9YnRQCoVeFJ895jrFGWF5PjXzWV3XjCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8fd27a4cabaa702f02dd692d4b8668b6a03b0be7273e9fc34c8fd4094b878bcf","last_reissued_at":"2026-05-18T04:06:55.764364Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:06:55.764364Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.1296","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":"2026-05-18T04:06:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IeYE1YcmlLiHsN6xRJ2tnl6rteDrSDeOBeVJeQBzZdsbGUxeUISRb2huLdxsmaLBzFvRpbtTIJqjki2uskX4Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T13:41:19.936974Z"},"content_sha256":"d0c8ecd5831b482166ea2cbb9cccdefc7fc7d2e4833668f1121da79e607bd5aa","schema_version":"1.0","event_id":"sha256:d0c8ecd5831b482166ea2cbb9cccdefc7fc7d2e4833668f1121da79e607bd5aa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:R7JHUTFLVJYC6AW5NEWUXBTIW2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Topics in uniform continuity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GN","authors_text":"Dikran Dikranjan, Du\\v{s}an Repov\\v{s}","submitted_at":"2011-12-06T14:48:08Z","abstract_excerpt":"This paper collects results and open problems concerning several classes of functions that generalize uniform continuity in various ways, including those metric spaces (generalizing Atsuji spaces) where all continuous functions have the property of being close to uniformly continuous."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.1296","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":"2026-05-18T04:06:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MJsHssEDmDopo3pVkXqWYKlwxLQzxZy0veInbciycKynQdGYxIWT/3v3q7nPUQKIAr3nP8JvRaQ1LSjiom0CCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T13:41:19.937326Z"},"content_sha256":"8f443226ee4ba33c4cd0aa3d1ff94612bed98340c20c1c319c1ab465446ee760","schema_version":"1.0","event_id":"sha256:8f443226ee4ba33c4cd0aa3d1ff94612bed98340c20c1c319c1ab465446ee760"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R7JHUTFLVJYC6AW5NEWUXBTIW2/bundle.json","state_url":"https://pith.science/pith/R7JHUTFLVJYC6AW5NEWUXBTIW2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R7JHUTFLVJYC6AW5NEWUXBTIW2/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":"2026-06-01T13:41:19Z","links":{"resolver":"https://pith.science/pith/R7JHUTFLVJYC6AW5NEWUXBTIW2","bundle":"https://pith.science/pith/R7JHUTFLVJYC6AW5NEWUXBTIW2/bundle.json","state":"https://pith.science/pith/R7JHUTFLVJYC6AW5NEWUXBTIW2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R7JHUTFLVJYC6AW5NEWUXBTIW2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:R7JHUTFLVJYC6AW5NEWUXBTIW2","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":"b2034cca4e19769ced4f8fdd3ef94c85e6f6d617acb5bae8a95311d7a82aa0c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2011-12-06T14:48:08Z","title_canon_sha256":"54ddd8629a870ab90b89c96942b58b78bca8dc486caff38a62e1eec158f69b6b"},"schema_version":"1.0","source":{"id":"1112.1296","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.1296","created_at":"2026-05-18T04:06:55Z"},{"alias_kind":"arxiv_version","alias_value":"1112.1296v1","created_at":"2026-05-18T04:06:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.1296","created_at":"2026-05-18T04:06:55Z"},{"alias_kind":"pith_short_12","alias_value":"R7JHUTFLVJYC","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"R7JHUTFLVJYC6AW5","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"R7JHUTFL","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:8f443226ee4ba33c4cd0aa3d1ff94612bed98340c20c1c319c1ab465446ee760","target":"graph","created_at":"2026-05-18T04:06:55Z","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 collects results and open problems concerning several classes of functions that generalize uniform continuity in various ways, including those metric spaces (generalizing Atsuji spaces) where all continuous functions have the property of being close to uniformly continuous.","authors_text":"Dikran Dikranjan, Du\\v{s}an Repov\\v{s}","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2011-12-06T14:48:08Z","title":"Topics in uniform continuity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.1296","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:d0c8ecd5831b482166ea2cbb9cccdefc7fc7d2e4833668f1121da79e607bd5aa","target":"record","created_at":"2026-05-18T04:06:55Z","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":"b2034cca4e19769ced4f8fdd3ef94c85e6f6d617acb5bae8a95311d7a82aa0c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2011-12-06T14:48:08Z","title_canon_sha256":"54ddd8629a870ab90b89c96942b58b78bca8dc486caff38a62e1eec158f69b6b"},"schema_version":"1.0","source":{"id":"1112.1296","kind":"arxiv","version":1}},"canonical_sha256":"8fd27a4cabaa702f02dd692d4b8668b6a03b0be7273e9fc34c8fd4094b878bcf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8fd27a4cabaa702f02dd692d4b8668b6a03b0be7273e9fc34c8fd4094b878bcf","first_computed_at":"2026-05-18T04:06:55.764364Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:06:55.764364Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TTPfXIqmwuaWGaKl6QQKqFok77AfLCmQdMld4IlizTeWKiwRmGRpWS9YnRQCoVeFJ895jrFGWF5PjXzWV3XjCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:06:55.765153Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.1296","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d0c8ecd5831b482166ea2cbb9cccdefc7fc7d2e4833668f1121da79e607bd5aa","sha256:8f443226ee4ba33c4cd0aa3d1ff94612bed98340c20c1c319c1ab465446ee760"],"state_sha256":"04f6fc812b120317170ada24e0231e4a067e6c4bc293c6611e019ae402e80fff"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3QCj9Xt5lLXTDRc7ZLKrBYczCgJ1adqYUEDRpIkCmUUzAoFDgPt6Hx6g2Zx4U5Qx0KyApe0m5a4jXwqOjk30Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T13:41:19.939109Z","bundle_sha256":"1e75e4e7d72fdf58b1eb472224e39fe4dc95c3b7c4cc3892a168f0ec48132b93"}}