{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:KQHNWSISITBY3OJN4B645WD2ZU","short_pith_number":"pith:KQHNWSIS","canonical_record":{"source":{"id":"1305.3600","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2013-05-15T19:55:57Z","cross_cats_sorted":[],"title_canon_sha256":"0e65a922dd729509a1779a08cd143307904079b3df50dc0adca46579a4d17d57","abstract_canon_sha256":"76555159d696e1b4b9e48654e1c1548689eb0c387537a21285cabb62524ead06"},"schema_version":"1.0"},"canonical_sha256":"540edb491244c38db92de07dced87acd27ef17aaffcca66d58d3b92a425ea42e","source":{"kind":"arxiv","id":"1305.3600","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.3600","created_at":"2026-05-18T03:25:35Z"},{"alias_kind":"arxiv_version","alias_value":"1305.3600v1","created_at":"2026-05-18T03:25:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.3600","created_at":"2026-05-18T03:25:35Z"},{"alias_kind":"pith_short_12","alias_value":"KQHNWSISITBY","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"KQHNWSISITBY3OJN","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"KQHNWSIS","created_at":"2026-05-18T12:27:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:KQHNWSISITBY3OJN4B645WD2ZU","target":"record","payload":{"canonical_record":{"source":{"id":"1305.3600","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2013-05-15T19:55:57Z","cross_cats_sorted":[],"title_canon_sha256":"0e65a922dd729509a1779a08cd143307904079b3df50dc0adca46579a4d17d57","abstract_canon_sha256":"76555159d696e1b4b9e48654e1c1548689eb0c387537a21285cabb62524ead06"},"schema_version":"1.0"},"canonical_sha256":"540edb491244c38db92de07dced87acd27ef17aaffcca66d58d3b92a425ea42e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:25:35.471261Z","signature_b64":"g9NTAD8jSxSCRo1Wzb8J/TdnBpkVYEIYpg6gp1z9Fa9ZqOE2+HGOlXxot+1DwWezVi0Gor6be34vsLPr1+RtCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"540edb491244c38db92de07dced87acd27ef17aaffcca66d58d3b92a425ea42e","last_reissued_at":"2026-05-18T03:25:35.470732Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:25:35.470732Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.3600","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":"2026-05-18T03:25:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u5pHEBWNNS8Aoq9kJr3yvUtCsEJB7pK+1fDlDF9NMWOpW9uu/4n0cUskyXiRlaVbz0wiDa22CPyo/jMXgXyqBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T20:00:42.823591Z"},"content_sha256":"b59e6b0b95507dc4c401f84832e875e2f3a691679e4c68920b94d1d9a54c9709","schema_version":"1.0","event_id":"sha256:b59e6b0b95507dc4c401f84832e875e2f3a691679e4c68920b94d1d9a54c9709"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:KQHNWSISITBY3OJN4B645WD2ZU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An Entourage Approach to the Contraction Principle in Uniform Spaces Endowed with a Graph","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GN","authors_text":"A. Aghanians, K. Fallahi, K. Nourouzi","submitted_at":"2013-05-15T19:55:57Z","abstract_excerpt":"In this paper, we study Banach contractions in uniform spaces endowed with a graph and give some sufficient conditions for a mapping to be a Picard operator. Our main results generalize some results of [J. Jachymski, \"The contraction principle for mappings on a metric space with a graph\", Proc. Amer. Math. Soc. 136 (2008) 1359-1373] employing the basic entourages of the uniform space."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.3600","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":"2026-05-18T03:25:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1qNfqFTemsngUhQRXwMA2zN2W/nzcNNGXx1h1Fnfizooy4BG5fFqu2JJuBLn6vpzxWUhXLlZ4eHYza5Vj4LJAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T20:00:42.823923Z"},"content_sha256":"3d2eeee9d810de097e7a94b1f9d3d9ecc0571aa8bae40f3e4fb08329e4c586f2","schema_version":"1.0","event_id":"sha256:3d2eeee9d810de097e7a94b1f9d3d9ecc0571aa8bae40f3e4fb08329e4c586f2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KQHNWSISITBY3OJN4B645WD2ZU/bundle.json","state_url":"https://pith.science/pith/KQHNWSISITBY3OJN4B645WD2ZU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KQHNWSISITBY3OJN4B645WD2ZU/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":"2026-06-23T20:00:42Z","links":{"resolver":"https://pith.science/pith/KQHNWSISITBY3OJN4B645WD2ZU","bundle":"https://pith.science/pith/KQHNWSISITBY3OJN4B645WD2ZU/bundle.json","state":"https://pith.science/pith/KQHNWSISITBY3OJN4B645WD2ZU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KQHNWSISITBY3OJN4B645WD2ZU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:KQHNWSISITBY3OJN4B645WD2ZU","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":"76555159d696e1b4b9e48654e1c1548689eb0c387537a21285cabb62524ead06","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2013-05-15T19:55:57Z","title_canon_sha256":"0e65a922dd729509a1779a08cd143307904079b3df50dc0adca46579a4d17d57"},"schema_version":"1.0","source":{"id":"1305.3600","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.3600","created_at":"2026-05-18T03:25:35Z"},{"alias_kind":"arxiv_version","alias_value":"1305.3600v1","created_at":"2026-05-18T03:25:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.3600","created_at":"2026-05-18T03:25:35Z"},{"alias_kind":"pith_short_12","alias_value":"KQHNWSISITBY","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"KQHNWSISITBY3OJN","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"KQHNWSIS","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:3d2eeee9d810de097e7a94b1f9d3d9ecc0571aa8bae40f3e4fb08329e4c586f2","target":"graph","created_at":"2026-05-18T03:25:35Z","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":"In this paper, we study Banach contractions in uniform spaces endowed with a graph and give some sufficient conditions for a mapping to be a Picard operator. Our main results generalize some results of [J. Jachymski, \"The contraction principle for mappings on a metric space with a graph\", Proc. Amer. Math. Soc. 136 (2008) 1359-1373] employing the basic entourages of the uniform space.","authors_text":"A. Aghanians, K. Fallahi, K. Nourouzi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2013-05-15T19:55:57Z","title":"An Entourage Approach to the Contraction Principle in Uniform Spaces Endowed with a Graph"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.3600","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:b59e6b0b95507dc4c401f84832e875e2f3a691679e4c68920b94d1d9a54c9709","target":"record","created_at":"2026-05-18T03:25:35Z","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":"76555159d696e1b4b9e48654e1c1548689eb0c387537a21285cabb62524ead06","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2013-05-15T19:55:57Z","title_canon_sha256":"0e65a922dd729509a1779a08cd143307904079b3df50dc0adca46579a4d17d57"},"schema_version":"1.0","source":{"id":"1305.3600","kind":"arxiv","version":1}},"canonical_sha256":"540edb491244c38db92de07dced87acd27ef17aaffcca66d58d3b92a425ea42e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"540edb491244c38db92de07dced87acd27ef17aaffcca66d58d3b92a425ea42e","first_computed_at":"2026-05-18T03:25:35.470732Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:25:35.470732Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g9NTAD8jSxSCRo1Wzb8J/TdnBpkVYEIYpg6gp1z9Fa9ZqOE2+HGOlXxot+1DwWezVi0Gor6be34vsLPr1+RtCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:25:35.471261Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.3600","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b59e6b0b95507dc4c401f84832e875e2f3a691679e4c68920b94d1d9a54c9709","sha256:3d2eeee9d810de097e7a94b1f9d3d9ecc0571aa8bae40f3e4fb08329e4c586f2"],"state_sha256":"5e25adfd540c2ef9dabf1dbbdc19d06527a42de9897259b5cef1b0136c40e926"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"72ls4CtyxYViaQ5+2DnSZndQ6XoE/lqKzm5VJwG2NOo4Y89NLfztDZ6vw8sr6MdkgktGw41LynPQWonSYpIFAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T20:00:42.825721Z","bundle_sha256":"0d42d648bbcc0c7aa7b785e07616dd9a325af2359cbaff402382cb7545f1331c"}}