{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:6QQSF2Q5G3S4WVFV6TZOVZPXAU","short_pith_number":"pith:6QQSF2Q5","canonical_record":{"source":{"id":"2606.15360","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-06-13T15:45:18Z","cross_cats_sorted":["physics.data-an","stat.CO"],"title_canon_sha256":"b1c495839aa3bb19bff738944ac03c87d2258f28a8c80cd57501539de3547d08","abstract_canon_sha256":"6e78a9b3c077ca4467221bc2cffa3895bdb76ea90409564d372d64ad6e95b718"},"schema_version":"1.0"},"canonical_sha256":"f42122ea1d36e5cb54b5f4f2eae5f7052d2b2a45dda7255629cdd13d6e22d72b","source":{"kind":"arxiv","id":"2606.15360","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.15360","created_at":"2026-07-07T02:18:45Z"},{"alias_kind":"arxiv_version","alias_value":"2606.15360v2","created_at":"2026-07-07T02:18:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.15360","created_at":"2026-07-07T02:18:45Z"},{"alias_kind":"pith_short_12","alias_value":"6QQSF2Q5G3S4","created_at":"2026-07-07T02:18:45Z"},{"alias_kind":"pith_short_16","alias_value":"6QQSF2Q5G3S4WVFV","created_at":"2026-07-07T02:18:45Z"},{"alias_kind":"pith_short_8","alias_value":"6QQSF2Q5","created_at":"2026-07-07T02:18:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:6QQSF2Q5G3S4WVFV6TZOVZPXAU","target":"record","payload":{"canonical_record":{"source":{"id":"2606.15360","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-06-13T15:45:18Z","cross_cats_sorted":["physics.data-an","stat.CO"],"title_canon_sha256":"b1c495839aa3bb19bff738944ac03c87d2258f28a8c80cd57501539de3547d08","abstract_canon_sha256":"6e78a9b3c077ca4467221bc2cffa3895bdb76ea90409564d372d64ad6e95b718"},"schema_version":"1.0"},"canonical_sha256":"f42122ea1d36e5cb54b5f4f2eae5f7052d2b2a45dda7255629cdd13d6e22d72b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-07T02:18:45.096008Z","signature_b64":"gZE5TTjMZ30v4OIcf/xqViOzn4Eth7aOKGBWBJHnHIh/bOpnghBGNra9WzW2cYBr75nBsmmLdEp5D2AWBeB2AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f42122ea1d36e5cb54b5f4f2eae5f7052d2b2a45dda7255629cdd13d6e22d72b","last_reissued_at":"2026-07-07T02:18:45.095180Z","signature_status":"signed_v1","first_computed_at":"2026-07-07T02:18:45.095180Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.15360","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":"2026-07-07T02:18:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ms08EatzLPtFaMtA0xo3Hh7DfSzt0H/qQnAZ4Wyea+nkfYP+BFds2JXKsH15cIqMmOYFqD2hCDKnuTgbNObGCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T12:24:20.970338Z"},"content_sha256":"b6ce6ab7d0dc7a9d43d7598f85a469bc68a64f013b317d22dca043fbf3cfd35b","schema_version":"1.0","event_id":"sha256:b6ce6ab7d0dc7a9d43d7598f85a469bc68a64f013b317d22dca043fbf3cfd35b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:6QQSF2Q5G3S4WVFV6TZOVZPXAU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generating-Element Maximum Entropy for Non-Gaussian Uncertainty Evaluation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.data-an","stat.CO"],"primary_cat":"stat.ME","authors_text":"Serhii Zabolotnii","submitted_at":"2026-06-13T15:45:18Z","abstract_excerpt":"Moment-constrained maximum entropy (MaxEnt) reconstructs probability densities from a few moments in uncertainty evaluation (GUM) and reliability analysis. The classical method uses monomial constraints x^i. We show that monomials are merely one choice of generating element of the underlying Kunchenko decomposition space, and that this choice -- more than the solver -- governs which densities are representable and how well-conditioned the dual problem is. We study three elements under one dual solver: a fractional-power element (PATP) that reduces fractional-moment exponent selection to a one-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.15360","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.15360/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":"2026-07-07T02:18:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SkEdaaxQJKfcb1hzJiRa0Fms9oFB7Ku72g4l2753CbrnZAJ9834mRv+8KxOs6pO7bvTj6mCCE1U+BaiznBy3CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T12:24:20.970841Z"},"content_sha256":"76112ed5b60e0ea498312d19c71742326744eb818963f411a7f48c712441926f","schema_version":"1.0","event_id":"sha256:76112ed5b60e0ea498312d19c71742326744eb818963f411a7f48c712441926f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6QQSF2Q5G3S4WVFV6TZOVZPXAU/bundle.json","state_url":"https://pith.science/pith/6QQSF2Q5G3S4WVFV6TZOVZPXAU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6QQSF2Q5G3S4WVFV6TZOVZPXAU/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":"2026-08-15T12:24:20Z","links":{"resolver":"https://pith.science/pith/6QQSF2Q5G3S4WVFV6TZOVZPXAU","bundle":"https://pith.science/pith/6QQSF2Q5G3S4WVFV6TZOVZPXAU/bundle.json","state":"https://pith.science/pith/6QQSF2Q5G3S4WVFV6TZOVZPXAU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6QQSF2Q5G3S4WVFV6TZOVZPXAU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:6QQSF2Q5G3S4WVFV6TZOVZPXAU","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":"6e78a9b3c077ca4467221bc2cffa3895bdb76ea90409564d372d64ad6e95b718","cross_cats_sorted":["physics.data-an","stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-06-13T15:45:18Z","title_canon_sha256":"b1c495839aa3bb19bff738944ac03c87d2258f28a8c80cd57501539de3547d08"},"schema_version":"1.0","source":{"id":"2606.15360","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.15360","created_at":"2026-07-07T02:18:45Z"},{"alias_kind":"arxiv_version","alias_value":"2606.15360v2","created_at":"2026-07-07T02:18:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.15360","created_at":"2026-07-07T02:18:45Z"},{"alias_kind":"pith_short_12","alias_value":"6QQSF2Q5G3S4","created_at":"2026-07-07T02:18:45Z"},{"alias_kind":"pith_short_16","alias_value":"6QQSF2Q5G3S4WVFV","created_at":"2026-07-07T02:18:45Z"},{"alias_kind":"pith_short_8","alias_value":"6QQSF2Q5","created_at":"2026-07-07T02:18:45Z"}],"graph_snapshots":[{"event_id":"sha256:76112ed5b60e0ea498312d19c71742326744eb818963f411a7f48c712441926f","target":"graph","created_at":"2026-07-07T02:18:45Z","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/2606.15360/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Moment-constrained maximum entropy (MaxEnt) reconstructs probability densities from a few moments in uncertainty evaluation (GUM) and reliability analysis. The classical method uses monomial constraints x^i. We show that monomials are merely one choice of generating element of the underlying Kunchenko decomposition space, and that this choice -- more than the solver -- governs which densities are representable and how well-conditioned the dual problem is. We study three elements under one dual solver: a fractional-power element (PATP) that reduces fractional-moment exponent selection to a one-","authors_text":"Serhii Zabolotnii","cross_cats":["physics.data-an","stat.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-06-13T15:45:18Z","title":"Generating-Element Maximum Entropy for Non-Gaussian Uncertainty Evaluation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.15360","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:b6ce6ab7d0dc7a9d43d7598f85a469bc68a64f013b317d22dca043fbf3cfd35b","target":"record","created_at":"2026-07-07T02:18:45Z","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":"6e78a9b3c077ca4467221bc2cffa3895bdb76ea90409564d372d64ad6e95b718","cross_cats_sorted":["physics.data-an","stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-06-13T15:45:18Z","title_canon_sha256":"b1c495839aa3bb19bff738944ac03c87d2258f28a8c80cd57501539de3547d08"},"schema_version":"1.0","source":{"id":"2606.15360","kind":"arxiv","version":2}},"canonical_sha256":"f42122ea1d36e5cb54b5f4f2eae5f7052d2b2a45dda7255629cdd13d6e22d72b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f42122ea1d36e5cb54b5f4f2eae5f7052d2b2a45dda7255629cdd13d6e22d72b","first_computed_at":"2026-07-07T02:18:45.095180Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-07T02:18:45.095180Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gZE5TTjMZ30v4OIcf/xqViOzn4Eth7aOKGBWBJHnHIh/bOpnghBGNra9WzW2cYBr75nBsmmLdEp5D2AWBeB2AQ==","signature_status":"signed_v1","signed_at":"2026-07-07T02:18:45.096008Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.15360","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b6ce6ab7d0dc7a9d43d7598f85a469bc68a64f013b317d22dca043fbf3cfd35b","sha256:76112ed5b60e0ea498312d19c71742326744eb818963f411a7f48c712441926f"],"state_sha256":"58dec45b0df7e5e3af230aecec812cde29b2c7d711a9cc70394c51af2c5853a2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A/yoY2G8ad6NwOHr2GBhCvlRqAA1RKnCpuVts2Paa7SApBk9dpFwc1jp4v3kwjz2KxZc5QQTVe4yOBUS8wlTCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T12:24:20.975704Z","bundle_sha256":"efe95ff56ceea1f6982c7b7bc14ccc879d80a75a52750cacc2d690c3850d86f2"}}