{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:5VWKBXFWIBJIOWCRLST6GU45RO","short_pith_number":"pith:5VWKBXFW","canonical_record":{"source":{"id":"1905.12398","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2019-05-29T13:02:14Z","cross_cats_sorted":[],"title_canon_sha256":"3b6042d3829d6d2d5a3f65255d53d119da31fe523f22239d224a5de570c79482","abstract_canon_sha256":"127f1fcf74571342029cfebf95a993e89f7a587267b97f0f8877010b19986bd5"},"schema_version":"1.0"},"canonical_sha256":"ed6ca0dcb640528758515ca7e3539d8b968430fbe5bbcbf24bafecaea44e0f87","source":{"kind":"arxiv","id":"1905.12398","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.12398","created_at":"2026-05-17T23:44:44Z"},{"alias_kind":"arxiv_version","alias_value":"1905.12398v1","created_at":"2026-05-17T23:44:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.12398","created_at":"2026-05-17T23:44:44Z"},{"alias_kind":"pith_short_12","alias_value":"5VWKBXFWIBJI","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"5VWKBXFWIBJIOWCR","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"5VWKBXFW","created_at":"2026-05-18T12:33:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:5VWKBXFWIBJIOWCRLST6GU45RO","target":"record","payload":{"canonical_record":{"source":{"id":"1905.12398","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2019-05-29T13:02:14Z","cross_cats_sorted":[],"title_canon_sha256":"3b6042d3829d6d2d5a3f65255d53d119da31fe523f22239d224a5de570c79482","abstract_canon_sha256":"127f1fcf74571342029cfebf95a993e89f7a587267b97f0f8877010b19986bd5"},"schema_version":"1.0"},"canonical_sha256":"ed6ca0dcb640528758515ca7e3539d8b968430fbe5bbcbf24bafecaea44e0f87","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:44:44.443514Z","signature_b64":"kEKYBHjkfBdoYKBj8th85aizVw5B0cGU/Vbhan8FvnaCAKRgE2H3B7b4RIN1qhumoe9YI2fEnrZIbDiUkCL1BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ed6ca0dcb640528758515ca7e3539d8b968430fbe5bbcbf24bafecaea44e0f87","last_reissued_at":"2026-05-17T23:44:44.442967Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:44:44.442967Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1905.12398","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":"2026-05-17T23:44:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U4gsZHPUT6RAwHWFn05iSkTqWH1ic8wHAnFi1gFwp9WLjxH5cQkCOwv8xzAR9e0XDuThuQv+am411kDyQ1d1Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T01:27:27.070526Z"},"content_sha256":"bb86bb14ce6b2ed2a15509a3b73fb3d3f9c98b7e53320f5cb4f47bec24f350ec","schema_version":"1.0","event_id":"sha256:bb86bb14ce6b2ed2a15509a3b73fb3d3f9c98b7e53320f5cb4f47bec24f350ec"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:5VWKBXFWIBJIOWCRLST6GU45RO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A short proof of the metrizability of $\\mathcal{F}$-metric spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GN","authors_text":"Lakshmi Kanta Dey, Sumit Som","submitted_at":"2019-05-29T13:02:14Z","abstract_excerpt":"The main purpose of this manuscript is to provide a short proof of the metrizability of $\\mathcal{F}$-metric spaces introduced by Jleli and Samet in \\cite[\\, Jleli, M. and Samet, B., On a new generalization of metric spaces, J. Fixed Point Theory Appl. (2018) 20:128]{JS1}."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.12398","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":"2026-05-17T23:44:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"geIInPmsCauRkdktHsJ2zd1hwWN4x59yYTd2Xg0eO4XelGh58ELPCLJPqeChieThBA3YGsDUfsaz8eXJJ1ziAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T01:27:27.071077Z"},"content_sha256":"d550876c2e15a511aefb75e4f274508a90677748d02e2cab581f6cb913e02d70","schema_version":"1.0","event_id":"sha256:d550876c2e15a511aefb75e4f274508a90677748d02e2cab581f6cb913e02d70"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5VWKBXFWIBJIOWCRLST6GU45RO/bundle.json","state_url":"https://pith.science/pith/5VWKBXFWIBJIOWCRLST6GU45RO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5VWKBXFWIBJIOWCRLST6GU45RO/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":"2026-07-02T01:27:27Z","links":{"resolver":"https://pith.science/pith/5VWKBXFWIBJIOWCRLST6GU45RO","bundle":"https://pith.science/pith/5VWKBXFWIBJIOWCRLST6GU45RO/bundle.json","state":"https://pith.science/pith/5VWKBXFWIBJIOWCRLST6GU45RO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5VWKBXFWIBJIOWCRLST6GU45RO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:5VWKBXFWIBJIOWCRLST6GU45RO","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":"127f1fcf74571342029cfebf95a993e89f7a587267b97f0f8877010b19986bd5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2019-05-29T13:02:14Z","title_canon_sha256":"3b6042d3829d6d2d5a3f65255d53d119da31fe523f22239d224a5de570c79482"},"schema_version":"1.0","source":{"id":"1905.12398","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.12398","created_at":"2026-05-17T23:44:44Z"},{"alias_kind":"arxiv_version","alias_value":"1905.12398v1","created_at":"2026-05-17T23:44:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.12398","created_at":"2026-05-17T23:44:44Z"},{"alias_kind":"pith_short_12","alias_value":"5VWKBXFWIBJI","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"5VWKBXFWIBJIOWCR","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"5VWKBXFW","created_at":"2026-05-18T12:33:10Z"}],"graph_snapshots":[{"event_id":"sha256:d550876c2e15a511aefb75e4f274508a90677748d02e2cab581f6cb913e02d70","target":"graph","created_at":"2026-05-17T23:44:44Z","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 main purpose of this manuscript is to provide a short proof of the metrizability of $\\mathcal{F}$-metric spaces introduced by Jleli and Samet in \\cite[\\, Jleli, M. and Samet, B., On a new generalization of metric spaces, J. Fixed Point Theory Appl. (2018) 20:128]{JS1}.","authors_text":"Lakshmi Kanta Dey, Sumit Som","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2019-05-29T13:02:14Z","title":"A short proof of the metrizability of $\\mathcal{F}$-metric spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.12398","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:bb86bb14ce6b2ed2a15509a3b73fb3d3f9c98b7e53320f5cb4f47bec24f350ec","target":"record","created_at":"2026-05-17T23:44:44Z","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":"127f1fcf74571342029cfebf95a993e89f7a587267b97f0f8877010b19986bd5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2019-05-29T13:02:14Z","title_canon_sha256":"3b6042d3829d6d2d5a3f65255d53d119da31fe523f22239d224a5de570c79482"},"schema_version":"1.0","source":{"id":"1905.12398","kind":"arxiv","version":1}},"canonical_sha256":"ed6ca0dcb640528758515ca7e3539d8b968430fbe5bbcbf24bafecaea44e0f87","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ed6ca0dcb640528758515ca7e3539d8b968430fbe5bbcbf24bafecaea44e0f87","first_computed_at":"2026-05-17T23:44:44.442967Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:44.442967Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kEKYBHjkfBdoYKBj8th85aizVw5B0cGU/Vbhan8FvnaCAKRgE2H3B7b4RIN1qhumoe9YI2fEnrZIbDiUkCL1BA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:44.443514Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.12398","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bb86bb14ce6b2ed2a15509a3b73fb3d3f9c98b7e53320f5cb4f47bec24f350ec","sha256:d550876c2e15a511aefb75e4f274508a90677748d02e2cab581f6cb913e02d70"],"state_sha256":"5d789fd34a0fb85670e52f2294b10fb200b459fc6507af890deff5ef30bc019f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wsU+1WlKhzTAvAxNos+HKytHKuWHKXy2Ss9NJuelDoaz2ODIOV5z0rbGUpU1/yEPMGc1s9UauLFCpOF7PF99Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T01:27:27.074012Z","bundle_sha256":"f7334949d883d7a3ebb059310ff818dc8c9e70d62fbf8e7851718476a771c36b"}}