{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:AP6ZT6OXAUIHHNVOEUQAR7TGC2","short_pith_number":"pith:AP6ZT6OX","canonical_record":{"source":{"id":"2606.05317","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-06-03T18:06:26Z","cross_cats_sorted":[],"title_canon_sha256":"e8547995cc17b130a8adcf43c34295c616e0a06f599e7eb57661c60438a72e22","abstract_canon_sha256":"80d0d7c2924924c69aa9018c7cf9b6ae357a0bd41c318512b145f433509272bf"},"schema_version":"1.0"},"canonical_sha256":"03fd99f9d7051073b6ae252008fe66169f33388f20dd1fb2f273d6d35da72595","source":{"kind":"arxiv","id":"2606.05317","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.05317","created_at":"2026-06-05T00:13:53Z"},{"alias_kind":"arxiv_version","alias_value":"2606.05317v1","created_at":"2026-06-05T00:13:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.05317","created_at":"2026-06-05T00:13:53Z"},{"alias_kind":"pith_short_12","alias_value":"AP6ZT6OXAUIH","created_at":"2026-06-05T00:13:53Z"},{"alias_kind":"pith_short_16","alias_value":"AP6ZT6OXAUIHHNVO","created_at":"2026-06-05T00:13:53Z"},{"alias_kind":"pith_short_8","alias_value":"AP6ZT6OX","created_at":"2026-06-05T00:13:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:AP6ZT6OXAUIHHNVOEUQAR7TGC2","target":"record","payload":{"canonical_record":{"source":{"id":"2606.05317","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-06-03T18:06:26Z","cross_cats_sorted":[],"title_canon_sha256":"e8547995cc17b130a8adcf43c34295c616e0a06f599e7eb57661c60438a72e22","abstract_canon_sha256":"80d0d7c2924924c69aa9018c7cf9b6ae357a0bd41c318512b145f433509272bf"},"schema_version":"1.0"},"canonical_sha256":"03fd99f9d7051073b6ae252008fe66169f33388f20dd1fb2f273d6d35da72595","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-05T00:13:53.683458Z","signature_b64":"9X3ewluHQx+bFLDH+R3DAasVPeAo2YoLWMntt28V1LB5Xswm70NFI7dvfC2R++lFTsSmWNbgnpr0dwmMsLJOCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"03fd99f9d7051073b6ae252008fe66169f33388f20dd1fb2f273d6d35da72595","last_reissued_at":"2026-06-05T00:13:53.683050Z","signature_status":"signed_v1","first_computed_at":"2026-06-05T00:13:53.683050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.05317","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":"2026-06-05T00:13:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RcpsQW57j9tuKgSzM2BuFxggaO5Ly+Mx9jzUZC6mVI2ck7y6+VlHHI5nB7ecEocP7fLa81k34y23g/zKbMVDAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T17:59:09.867934Z"},"content_sha256":"1fc450ea24ebae875dfe1dd7b9fca5d3a343b2f3ccf5cc1d8cd5f634d262682e","schema_version":"1.0","event_id":"sha256:1fc450ea24ebae875dfe1dd7b9fca5d3a343b2f3ccf5cc1d8cd5f634d262682e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:AP6ZT6OXAUIHHNVOEUQAR7TGC2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Family of Quantile Functions Useful in Clinical Studies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Midhu N. N, Prasanth V. P., Sankaran P. G.","submitted_at":"2026-06-03T18:06:26Z","abstract_excerpt":"Motivated by upper-tail quantile-domain summaries, we study the quantile-based effectiveness persistence function defined as the ratio between the tail mean and the quantile function. We derive statistical properties of this measure and consider a rational (M\\\"obius) specification of the quantilebased effectiveness persistence function. Under natural boundary conditions, this specification reduces to a canonical form. The resulting canonical family defines a two-parameter class of nonnegative distributions through its quantile function. Various properties, including descriptive measures, L-mom"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.05317","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/2606.05317/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":"2026-06-05T00:13:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nu+k3cKJvl3CGPsLvDHpXvi6p/1jtA/HIDO6tRCLu4ZDLyl3/Uxklz/lWBk4wyzAay/+SNVcXaSRJrhHixTHDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T17:59:09.868325Z"},"content_sha256":"995682732a33dd8b9da01c95c2315c2ade95c51efdd5c682274da9165e6f97f6","schema_version":"1.0","event_id":"sha256:995682732a33dd8b9da01c95c2315c2ade95c51efdd5c682274da9165e6f97f6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AP6ZT6OXAUIHHNVOEUQAR7TGC2/bundle.json","state_url":"https://pith.science/pith/AP6ZT6OXAUIHHNVOEUQAR7TGC2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AP6ZT6OXAUIHHNVOEUQAR7TGC2/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":"2026-06-30T17:59:09Z","links":{"resolver":"https://pith.science/pith/AP6ZT6OXAUIHHNVOEUQAR7TGC2","bundle":"https://pith.science/pith/AP6ZT6OXAUIHHNVOEUQAR7TGC2/bundle.json","state":"https://pith.science/pith/AP6ZT6OXAUIHHNVOEUQAR7TGC2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AP6ZT6OXAUIHHNVOEUQAR7TGC2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:AP6ZT6OXAUIHHNVOEUQAR7TGC2","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":"80d0d7c2924924c69aa9018c7cf9b6ae357a0bd41c318512b145f433509272bf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-06-03T18:06:26Z","title_canon_sha256":"e8547995cc17b130a8adcf43c34295c616e0a06f599e7eb57661c60438a72e22"},"schema_version":"1.0","source":{"id":"2606.05317","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.05317","created_at":"2026-06-05T00:13:53Z"},{"alias_kind":"arxiv_version","alias_value":"2606.05317v1","created_at":"2026-06-05T00:13:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.05317","created_at":"2026-06-05T00:13:53Z"},{"alias_kind":"pith_short_12","alias_value":"AP6ZT6OXAUIH","created_at":"2026-06-05T00:13:53Z"},{"alias_kind":"pith_short_16","alias_value":"AP6ZT6OXAUIHHNVO","created_at":"2026-06-05T00:13:53Z"},{"alias_kind":"pith_short_8","alias_value":"AP6ZT6OX","created_at":"2026-06-05T00:13:53Z"}],"graph_snapshots":[{"event_id":"sha256:995682732a33dd8b9da01c95c2315c2ade95c51efdd5c682274da9165e6f97f6","target":"graph","created_at":"2026-06-05T00:13:53Z","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/2606.05317/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Motivated by upper-tail quantile-domain summaries, we study the quantile-based effectiveness persistence function defined as the ratio between the tail mean and the quantile function. We derive statistical properties of this measure and consider a rational (M\\\"obius) specification of the quantilebased effectiveness persistence function. Under natural boundary conditions, this specification reduces to a canonical form. The resulting canonical family defines a two-parameter class of nonnegative distributions through its quantile function. Various properties, including descriptive measures, L-mom","authors_text":"Midhu N. N, Prasanth V. P., Sankaran P. G.","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-06-03T18:06:26Z","title":"A Family of Quantile Functions Useful in Clinical Studies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.05317","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":"sha256:1fc450ea24ebae875dfe1dd7b9fca5d3a343b2f3ccf5cc1d8cd5f634d262682e","target":"record","created_at":"2026-06-05T00:13:53Z","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":"80d0d7c2924924c69aa9018c7cf9b6ae357a0bd41c318512b145f433509272bf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-06-03T18:06:26Z","title_canon_sha256":"e8547995cc17b130a8adcf43c34295c616e0a06f599e7eb57661c60438a72e22"},"schema_version":"1.0","source":{"id":"2606.05317","kind":"arxiv","version":1}},"canonical_sha256":"03fd99f9d7051073b6ae252008fe66169f33388f20dd1fb2f273d6d35da72595","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"03fd99f9d7051073b6ae252008fe66169f33388f20dd1fb2f273d6d35da72595","first_computed_at":"2026-06-05T00:13:53.683050Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-05T00:13:53.683050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9X3ewluHQx+bFLDH+R3DAasVPeAo2YoLWMntt28V1LB5Xswm70NFI7dvfC2R++lFTsSmWNbgnpr0dwmMsLJOCQ==","signature_status":"signed_v1","signed_at":"2026-06-05T00:13:53.683458Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.05317","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1fc450ea24ebae875dfe1dd7b9fca5d3a343b2f3ccf5cc1d8cd5f634d262682e","sha256:995682732a33dd8b9da01c95c2315c2ade95c51efdd5c682274da9165e6f97f6"],"state_sha256":"44b2b03daf7be294574ff340b88afa8051e864659fc80cf7de4fc93d98588e8e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lIVBsbA48l6WMtFk2C90IZ7r+ubhbmacB4JZczYD+DQko/GvueftJ2uf/HuvrSlsr5Gy8lvRAHFyEff99nU3Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T17:59:09.870364Z","bundle_sha256":"30c83eb3d8cddced72975e2ed7d308da1bd663e833dc3a30d51db1aa0292d1b3"}}