{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:AXFXTKBUXLHUBRGIO35LDL37RQ","short_pith_number":"pith:AXFXTKBU","canonical_record":{"source":{"id":"2605.21549","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2026-05-20T11:14:28Z","cross_cats_sorted":[],"title_canon_sha256":"4c7f702201421ac382b53f310dc1788617d9d4e683015e7409686ddcf6d54138","abstract_canon_sha256":"e5300f4298e18fa0e57635a0a1fbb5d6f5ce7332a5b5d1715738a08096128fb5"},"schema_version":"1.0"},"canonical_sha256":"05cb79a834bacf40c4c876fab1af7f8c224d40b70e5922d2d8ef56851672467c","source":{"kind":"arxiv","id":"2605.21549","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.21549","created_at":"2026-05-22T00:02:28Z"},{"alias_kind":"arxiv_version","alias_value":"2605.21549v1","created_at":"2026-05-22T00:02:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.21549","created_at":"2026-05-22T00:02:28Z"},{"alias_kind":"pith_short_12","alias_value":"AXFXTKBUXLHU","created_at":"2026-05-22T00:02:28Z"},{"alias_kind":"pith_short_16","alias_value":"AXFXTKBUXLHUBRGI","created_at":"2026-05-22T00:02:28Z"},{"alias_kind":"pith_short_8","alias_value":"AXFXTKBU","created_at":"2026-05-22T00:02:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:AXFXTKBUXLHUBRGIO35LDL37RQ","target":"record","payload":{"canonical_record":{"source":{"id":"2605.21549","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2026-05-20T11:14:28Z","cross_cats_sorted":[],"title_canon_sha256":"4c7f702201421ac382b53f310dc1788617d9d4e683015e7409686ddcf6d54138","abstract_canon_sha256":"e5300f4298e18fa0e57635a0a1fbb5d6f5ce7332a5b5d1715738a08096128fb5"},"schema_version":"1.0"},"canonical_sha256":"05cb79a834bacf40c4c876fab1af7f8c224d40b70e5922d2d8ef56851672467c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-22T00:02:28.206905Z","signature_b64":"11jVYgbmrDy1Z8XHpml90GXmFrqsOjvpgJLl+ARX3XfJIWUew1b0cZXFDVX/cxblEGOTpAMQ7pBH14B05cgAAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"05cb79a834bacf40c4c876fab1af7f8c224d40b70e5922d2d8ef56851672467c","last_reissued_at":"2026-05-22T00:02:28.206482Z","signature_status":"signed_v1","first_computed_at":"2026-05-22T00:02:28.206482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.21549","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":"2026-05-22T00:02:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ORUrk07H93MDdGZjAj+w7Ucg3Z9ar16dmzxhEudIXO3Ae5oEO91T8pbG3vQry+VnoLENoAKWp7ckX/RVecd5Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:55:55.267697Z"},"content_sha256":"0267947038675d5d0f9ddc3fde266e261aab740edd6e81acc77d67317e922faa","schema_version":"1.0","event_id":"sha256:0267947038675d5d0f9ddc3fde266e261aab740edd6e81acc77d67317e922faa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:AXFXTKBUXLHUBRGIO35LDL37RQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Another Perspective on Chatterjea Contraction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Irfan Ahmed, Sahil Billawria, Shallu Sharma","submitted_at":"2026-05-20T11:14:28Z","abstract_excerpt":"Inspired by the well-known result stating that if any iterate of a mapping is a Banach contraction on a complete metric space, then the mapping itself possesses a unique fixed point, we investigate that claim for a Chatterjea contraction but by retaining the left-hand side of the inequality as per the mapping itself. With an additional assumption of k- continuity, the existence and uniqueness of a fixed point is obtained for a new class of contractions, m-Chatterjea contraction, on a complete metric space. Several examples are given in order to substantiate many theoretical claims such as disc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.21549","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.21549/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-05-22T00:02:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KmIVkxlElVeVJ2Vuvj0WvwBrcampl4mRpiCfzalo9tx3x5nq4PbGCidWtD8u+35cBdmEd9YWVZMLaufY8RKHBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:55:55.268467Z"},"content_sha256":"b1d3ea28f8dbf5bbea519e74c5d3cb282f1af08d604f760b9e2656aed5f69aaf","schema_version":"1.0","event_id":"sha256:b1d3ea28f8dbf5bbea519e74c5d3cb282f1af08d604f760b9e2656aed5f69aaf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AXFXTKBUXLHUBRGIO35LDL37RQ/bundle.json","state_url":"https://pith.science/pith/AXFXTKBUXLHUBRGIO35LDL37RQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AXFXTKBUXLHUBRGIO35LDL37RQ/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":"2026-05-25T17:55:55Z","links":{"resolver":"https://pith.science/pith/AXFXTKBUXLHUBRGIO35LDL37RQ","bundle":"https://pith.science/pith/AXFXTKBUXLHUBRGIO35LDL37RQ/bundle.json","state":"https://pith.science/pith/AXFXTKBUXLHUBRGIO35LDL37RQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AXFXTKBUXLHUBRGIO35LDL37RQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:AXFXTKBUXLHUBRGIO35LDL37RQ","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":"e5300f4298e18fa0e57635a0a1fbb5d6f5ce7332a5b5d1715738a08096128fb5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2026-05-20T11:14:28Z","title_canon_sha256":"4c7f702201421ac382b53f310dc1788617d9d4e683015e7409686ddcf6d54138"},"schema_version":"1.0","source":{"id":"2605.21549","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.21549","created_at":"2026-05-22T00:02:28Z"},{"alias_kind":"arxiv_version","alias_value":"2605.21549v1","created_at":"2026-05-22T00:02:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.21549","created_at":"2026-05-22T00:02:28Z"},{"alias_kind":"pith_short_12","alias_value":"AXFXTKBUXLHU","created_at":"2026-05-22T00:02:28Z"},{"alias_kind":"pith_short_16","alias_value":"AXFXTKBUXLHUBRGI","created_at":"2026-05-22T00:02:28Z"},{"alias_kind":"pith_short_8","alias_value":"AXFXTKBU","created_at":"2026-05-22T00:02:28Z"}],"graph_snapshots":[{"event_id":"sha256:b1d3ea28f8dbf5bbea519e74c5d3cb282f1af08d604f760b9e2656aed5f69aaf","target":"graph","created_at":"2026-05-22T00:02:28Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2605.21549/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Inspired by the well-known result stating that if any iterate of a mapping is a Banach contraction on a complete metric space, then the mapping itself possesses a unique fixed point, we investigate that claim for a Chatterjea contraction but by retaining the left-hand side of the inequality as per the mapping itself. With an additional assumption of k- continuity, the existence and uniqueness of a fixed point is obtained for a new class of contractions, m-Chatterjea contraction, on a complete metric space. Several examples are given in order to substantiate many theoretical claims such as disc","authors_text":"Irfan Ahmed, Sahil Billawria, Shallu Sharma","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2026-05-20T11:14:28Z","title":"Another Perspective on Chatterjea Contraction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.21549","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":"sha256:0267947038675d5d0f9ddc3fde266e261aab740edd6e81acc77d67317e922faa","target":"record","created_at":"2026-05-22T00:02:28Z","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":"e5300f4298e18fa0e57635a0a1fbb5d6f5ce7332a5b5d1715738a08096128fb5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2026-05-20T11:14:28Z","title_canon_sha256":"4c7f702201421ac382b53f310dc1788617d9d4e683015e7409686ddcf6d54138"},"schema_version":"1.0","source":{"id":"2605.21549","kind":"arxiv","version":1}},"canonical_sha256":"05cb79a834bacf40c4c876fab1af7f8c224d40b70e5922d2d8ef56851672467c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"05cb79a834bacf40c4c876fab1af7f8c224d40b70e5922d2d8ef56851672467c","first_computed_at":"2026-05-22T00:02:28.206482Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-22T00:02:28.206482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"11jVYgbmrDy1Z8XHpml90GXmFrqsOjvpgJLl+ARX3XfJIWUew1b0cZXFDVX/cxblEGOTpAMQ7pBH14B05cgAAQ==","signature_status":"signed_v1","signed_at":"2026-05-22T00:02:28.206905Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.21549","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0267947038675d5d0f9ddc3fde266e261aab740edd6e81acc77d67317e922faa","sha256:b1d3ea28f8dbf5bbea519e74c5d3cb282f1af08d604f760b9e2656aed5f69aaf"],"state_sha256":"9aa7df2d97beb2ebe234409beb393d1b79ebe90aaccbdbf9d83074abc72cdb31"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"USqaohfMXueXQ7K1nogZbGqB6PDC+peFvecr8PFNytHtLnGemzus+eVspuBSj+21LPe/+tOmSKPhok7whJ8aCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T17:55:55.272356Z","bundle_sha256":"3ed922cf4ed07be20ce25102065f9296b1cfdf7fb0fa4afe376a6bf10b507a1f"}}