{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:I5ZYGBNGCLEAGQP27TOYQE6R4H","short_pith_number":"pith:I5ZYGBNG","canonical_record":{"source":{"id":"1101.3266","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2011-01-17T17:02:05Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"38c0c0a986ced896fba3a8baf0b225fa9bb3193e4af2f7725cbb7d76d72132ee","abstract_canon_sha256":"ccb4c29252eddb36f9e3fac1544e6780b6d483d0da1e791e2ddee115da2c761b"},"schema_version":"1.0"},"canonical_sha256":"47738305a612c80341fafcdd8813d1e1cc9be31a182d0ebb003b5a5f966e9a73","source":{"kind":"arxiv","id":"1101.3266","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.3266","created_at":"2026-05-18T04:29:55Z"},{"alias_kind":"arxiv_version","alias_value":"1101.3266v2","created_at":"2026-05-18T04:29:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.3266","created_at":"2026-05-18T04:29:55Z"},{"alias_kind":"pith_short_12","alias_value":"I5ZYGBNGCLEA","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"I5ZYGBNGCLEAGQP2","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"I5ZYGBNG","created_at":"2026-05-18T12:26:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:I5ZYGBNGCLEAGQP27TOYQE6R4H","target":"record","payload":{"canonical_record":{"source":{"id":"1101.3266","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2011-01-17T17:02:05Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"38c0c0a986ced896fba3a8baf0b225fa9bb3193e4af2f7725cbb7d76d72132ee","abstract_canon_sha256":"ccb4c29252eddb36f9e3fac1544e6780b6d483d0da1e791e2ddee115da2c761b"},"schema_version":"1.0"},"canonical_sha256":"47738305a612c80341fafcdd8813d1e1cc9be31a182d0ebb003b5a5f966e9a73","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:29:55.257459Z","signature_b64":"w0kLqn5Es3crLBYMuivTxQkPBH2U4UrEvtgmxi3CEsWDpNe5ieA1vPq/aFsLuWF/K4PDC9oNb2dYYN6CGhFcDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"47738305a612c80341fafcdd8813d1e1cc9be31a182d0ebb003b5a5f966e9a73","last_reissued_at":"2026-05-18T04:29:55.256955Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:29:55.256955Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1101.3266","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:29:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GS9SczD5FB+78dpJoMOAabk5oKUCitrB51Ulm1GybF8Fxt+499rXbv5upsb+XOn7LDkTpFbhqx+9Jvru7ircDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T07:03:09.917501Z"},"content_sha256":"402e918b6231c32202b2a3ad1d2463f417ea5a825ad0167b9d6c9656c3f9a72a","schema_version":"1.0","event_id":"sha256:402e918b6231c32202b2a3ad1d2463f417ea5a825ad0167b9d6c9656c3f9a72a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:I5ZYGBNGCLEAGQP27TOYQE6R4H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the interpolation of univariate distributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"physics.data-an","authors_text":"Hans P. Dembinski","submitted_at":"2011-01-17T17:02:05Z","abstract_excerpt":"This note discusses an interpolation technique for univariate distributions. In other words, the question is how to obtain a good approximation for f(x|a) if a0 < a < a1 is a control variable and f(x|a0) and f(x|a1) are known. The technique presented here is based on the interpolation of the quantile function, i.e. the inverse of the cumulative density function."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.3266","kind":"arxiv","version":2},"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":"2026-05-18T04:29:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K+e9MAXlx56zjqHjgOZVVuo33+bqD907T65MgupKyoQzIn+iBxklheyDw1PDgv2rlMEALlDSPGudnIjId1NFDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T07:03:09.917840Z"},"content_sha256":"275039f5fb88d2321504912c55df3611658e6d576ed24af6d843846c828c52a0","schema_version":"1.0","event_id":"sha256:275039f5fb88d2321504912c55df3611658e6d576ed24af6d843846c828c52a0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I5ZYGBNGCLEAGQP27TOYQE6R4H/bundle.json","state_url":"https://pith.science/pith/I5ZYGBNGCLEAGQP27TOYQE6R4H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I5ZYGBNGCLEAGQP27TOYQE6R4H/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":"2026-06-28T07:03:09Z","links":{"resolver":"https://pith.science/pith/I5ZYGBNGCLEAGQP27TOYQE6R4H","bundle":"https://pith.science/pith/I5ZYGBNGCLEAGQP27TOYQE6R4H/bundle.json","state":"https://pith.science/pith/I5ZYGBNGCLEAGQP27TOYQE6R4H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I5ZYGBNGCLEAGQP27TOYQE6R4H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:I5ZYGBNGCLEAGQP27TOYQE6R4H","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":"ccb4c29252eddb36f9e3fac1544e6780b6d483d0da1e791e2ddee115da2c761b","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2011-01-17T17:02:05Z","title_canon_sha256":"38c0c0a986ced896fba3a8baf0b225fa9bb3193e4af2f7725cbb7d76d72132ee"},"schema_version":"1.0","source":{"id":"1101.3266","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.3266","created_at":"2026-05-18T04:29:55Z"},{"alias_kind":"arxiv_version","alias_value":"1101.3266v2","created_at":"2026-05-18T04:29:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.3266","created_at":"2026-05-18T04:29:55Z"},{"alias_kind":"pith_short_12","alias_value":"I5ZYGBNGCLEA","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"I5ZYGBNGCLEAGQP2","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"I5ZYGBNG","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:275039f5fb88d2321504912c55df3611658e6d576ed24af6d843846c828c52a0","target":"graph","created_at":"2026-05-18T04:29:55Z","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 note discusses an interpolation technique for univariate distributions. In other words, the question is how to obtain a good approximation for f(x|a) if a0 < a < a1 is a control variable and f(x|a0) and f(x|a1) are known. The technique presented here is based on the interpolation of the quantile function, i.e. the inverse of the cumulative density function.","authors_text":"Hans P. Dembinski","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2011-01-17T17:02:05Z","title":"On the interpolation of univariate distributions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.3266","kind":"arxiv","version":2},"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":"sha256:402e918b6231c32202b2a3ad1d2463f417ea5a825ad0167b9d6c9656c3f9a72a","target":"record","created_at":"2026-05-18T04:29:55Z","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":"ccb4c29252eddb36f9e3fac1544e6780b6d483d0da1e791e2ddee115da2c761b","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2011-01-17T17:02:05Z","title_canon_sha256":"38c0c0a986ced896fba3a8baf0b225fa9bb3193e4af2f7725cbb7d76d72132ee"},"schema_version":"1.0","source":{"id":"1101.3266","kind":"arxiv","version":2}},"canonical_sha256":"47738305a612c80341fafcdd8813d1e1cc9be31a182d0ebb003b5a5f966e9a73","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"47738305a612c80341fafcdd8813d1e1cc9be31a182d0ebb003b5a5f966e9a73","first_computed_at":"2026-05-18T04:29:55.256955Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:29:55.256955Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w0kLqn5Es3crLBYMuivTxQkPBH2U4UrEvtgmxi3CEsWDpNe5ieA1vPq/aFsLuWF/K4PDC9oNb2dYYN6CGhFcDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:29:55.257459Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.3266","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:402e918b6231c32202b2a3ad1d2463f417ea5a825ad0167b9d6c9656c3f9a72a","sha256:275039f5fb88d2321504912c55df3611658e6d576ed24af6d843846c828c52a0"],"state_sha256":"516c1c1158cf4c67699cda14f52f8c38534d3e91618b52c202f06bb7c58addb9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/AWT26PU29EJNSjXyr+i+8A615RK6djyWUM5HmMtjN5/7eevIdRG6yCErXhoD2ABs1G1eDtQiBE40EtISICUDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T07:03:09.919660Z","bundle_sha256":"a103c666b347afa3abaae9d4a62932ba49ed36176ebb2ff1cb9274c4f050dc13"}}