{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:IP6XHYVG5BWDIP6NMR4NZ43IKS","short_pith_number":"pith:IP6XHYVG","canonical_record":{"source":{"id":"1701.05656","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-01-20T02:14:08Z","cross_cats_sorted":[],"title_canon_sha256":"c714b8b7c037e95d55562376d41b7e3bcb302ec92bca4745a793b9681cf5d26b","abstract_canon_sha256":"a6ca5e0ce25fc20c49b0d8455664526e4a4112902c9a0515e1e4b6d1a37fe09a"},"schema_version":"1.0"},"canonical_sha256":"43fd73e2a6e86c343fcd6478dcf36854bc3578bb67d3396f399b99ab24331ef1","source":{"kind":"arxiv","id":"1701.05656","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.05656","created_at":"2026-05-18T00:28:07Z"},{"alias_kind":"arxiv_version","alias_value":"1701.05656v2","created_at":"2026-05-18T00:28:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.05656","created_at":"2026-05-18T00:28:07Z"},{"alias_kind":"pith_short_12","alias_value":"IP6XHYVG5BWD","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IP6XHYVG5BWDIP6N","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IP6XHYVG","created_at":"2026-05-18T12:31:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:IP6XHYVG5BWDIP6NMR4NZ43IKS","target":"record","payload":{"canonical_record":{"source":{"id":"1701.05656","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-01-20T02:14:08Z","cross_cats_sorted":[],"title_canon_sha256":"c714b8b7c037e95d55562376d41b7e3bcb302ec92bca4745a793b9681cf5d26b","abstract_canon_sha256":"a6ca5e0ce25fc20c49b0d8455664526e4a4112902c9a0515e1e4b6d1a37fe09a"},"schema_version":"1.0"},"canonical_sha256":"43fd73e2a6e86c343fcd6478dcf36854bc3578bb67d3396f399b99ab24331ef1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:07.959876Z","signature_b64":"B6+R5wFiPevn/hVHqgvEI3q9Squ/2pSHKAb2ci6aPNy9DfkHVfA4Upo0w0fo9XI8/SlQORHqW5alKLulYpbbBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"43fd73e2a6e86c343fcd6478dcf36854bc3578bb67d3396f399b99ab24331ef1","last_reissued_at":"2026-05-18T00:28:07.959257Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:07.959257Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.05656","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":"2026-05-18T00:28:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CYovMDnUQlbowUnzO79vSNT5NQNG6G4r5B1LFu160RslgklNBjv3Ah8Ksbnt/JLJ0QLPrTRBjkj3l/C6EKvsDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T17:22:25.669690Z"},"content_sha256":"ac9ccf772439a7df81d65f96b058a3eb8fdada12466bd9879c84704232352825","schema_version":"1.0","event_id":"sha256:ac9ccf772439a7df81d65f96b058a3eb8fdada12466bd9879c84704232352825"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:IP6XHYVG5BWDIP6NMR4NZ43IKS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Two-Step Geometric Framework For Density Modeling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Anuj Srivastava, Debdeep Pati, Sutanoy Dasgupta","submitted_at":"2017-01-20T02:14:08Z","abstract_excerpt":"We introduce a novel two-step approach for estimating a probability density function (pdf) given its samples, with the second and important step coming from a geometric formulation. The procedure involves obtaining an initial estimate of the pdf and then transforming it via a warping function to reach the final estimate. The initial estimate is intended to be computationally fast, albeit suboptimal, but its warping creates a larger, flexible class of density functions, resulting in substantially improved estimation. The search for optimal warping is accomplished by mapping diffeomorphic functi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.05656","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":"2026-05-18T00:28:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sxlfnxI6XtrIMKHBs8MJTXgUsdmbHNHjXkz9PzRtcI8DyvifLo/gRIZBDLMT0qd41Ac1naZ27ZAeLVVUlutbDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T17:22:25.670042Z"},"content_sha256":"55016e6f96aae0db1dcf5e0e66b7dbcd8a2b0290d17c0eb255cc0a49f0680885","schema_version":"1.0","event_id":"sha256:55016e6f96aae0db1dcf5e0e66b7dbcd8a2b0290d17c0eb255cc0a49f0680885"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IP6XHYVG5BWDIP6NMR4NZ43IKS/bundle.json","state_url":"https://pith.science/pith/IP6XHYVG5BWDIP6NMR4NZ43IKS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IP6XHYVG5BWDIP6NMR4NZ43IKS/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":"2026-05-19T17:22:25Z","links":{"resolver":"https://pith.science/pith/IP6XHYVG5BWDIP6NMR4NZ43IKS","bundle":"https://pith.science/pith/IP6XHYVG5BWDIP6NMR4NZ43IKS/bundle.json","state":"https://pith.science/pith/IP6XHYVG5BWDIP6NMR4NZ43IKS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IP6XHYVG5BWDIP6NMR4NZ43IKS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:IP6XHYVG5BWDIP6NMR4NZ43IKS","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":"a6ca5e0ce25fc20c49b0d8455664526e4a4112902c9a0515e1e4b6d1a37fe09a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-01-20T02:14:08Z","title_canon_sha256":"c714b8b7c037e95d55562376d41b7e3bcb302ec92bca4745a793b9681cf5d26b"},"schema_version":"1.0","source":{"id":"1701.05656","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.05656","created_at":"2026-05-18T00:28:07Z"},{"alias_kind":"arxiv_version","alias_value":"1701.05656v2","created_at":"2026-05-18T00:28:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.05656","created_at":"2026-05-18T00:28:07Z"},{"alias_kind":"pith_short_12","alias_value":"IP6XHYVG5BWD","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IP6XHYVG5BWDIP6N","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IP6XHYVG","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:55016e6f96aae0db1dcf5e0e66b7dbcd8a2b0290d17c0eb255cc0a49f0680885","target":"graph","created_at":"2026-05-18T00:28:07Z","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":"We introduce a novel two-step approach for estimating a probability density function (pdf) given its samples, with the second and important step coming from a geometric formulation. The procedure involves obtaining an initial estimate of the pdf and then transforming it via a warping function to reach the final estimate. The initial estimate is intended to be computationally fast, albeit suboptimal, but its warping creates a larger, flexible class of density functions, resulting in substantially improved estimation. The search for optimal warping is accomplished by mapping diffeomorphic functi","authors_text":"Anuj Srivastava, Debdeep Pati, Sutanoy Dasgupta","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-01-20T02:14:08Z","title":"A Two-Step Geometric Framework For Density Modeling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.05656","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:ac9ccf772439a7df81d65f96b058a3eb8fdada12466bd9879c84704232352825","target":"record","created_at":"2026-05-18T00:28:07Z","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":"a6ca5e0ce25fc20c49b0d8455664526e4a4112902c9a0515e1e4b6d1a37fe09a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-01-20T02:14:08Z","title_canon_sha256":"c714b8b7c037e95d55562376d41b7e3bcb302ec92bca4745a793b9681cf5d26b"},"schema_version":"1.0","source":{"id":"1701.05656","kind":"arxiv","version":2}},"canonical_sha256":"43fd73e2a6e86c343fcd6478dcf36854bc3578bb67d3396f399b99ab24331ef1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"43fd73e2a6e86c343fcd6478dcf36854bc3578bb67d3396f399b99ab24331ef1","first_computed_at":"2026-05-18T00:28:07.959257Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:28:07.959257Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"B6+R5wFiPevn/hVHqgvEI3q9Squ/2pSHKAb2ci6aPNy9DfkHVfA4Upo0w0fo9XI8/SlQORHqW5alKLulYpbbBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:28:07.959876Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.05656","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ac9ccf772439a7df81d65f96b058a3eb8fdada12466bd9879c84704232352825","sha256:55016e6f96aae0db1dcf5e0e66b7dbcd8a2b0290d17c0eb255cc0a49f0680885"],"state_sha256":"7b1f63f1785d9495e2ac70695a8c7bbba1a3dc566e7caf89a0edd644b6c24519"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gGWxVWxCTROQ3diZtKppguWGhEbQZKOBqWddmkJ8NXYB+jZ7jZhZaPTm7l30P0kWN13M1+PhTIN8IUiemrFtDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T17:22:25.672058Z","bundle_sha256":"badb45e0c7a7e5aa359dd9c61f1e6cfd5ed584fa5f29e472562e30ca1871a4c1"}}