{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:GV7VA7JVJOIEYPMBOVBAPF5VUJ","short_pith_number":"pith:GV7VA7JV","canonical_record":{"source":{"id":"1104.0930","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-04-05T20:00:03Z","cross_cats_sorted":[],"title_canon_sha256":"f98a9f71d43cdd54558ed1fa3cdc5160c00626fac69ea1f5d7469a9a62dbfc45","abstract_canon_sha256":"db67dc39365da4b8aac83f2cd3fedf7dc9b97016f5055079fb5801c9825d5f43"},"schema_version":"1.0"},"canonical_sha256":"357f507d354b904c3d8175420797b5a270493a968cc92c3e8b1a1002dae41080","source":{"kind":"arxiv","id":"1104.0930","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.0930","created_at":"2026-05-18T02:02:37Z"},{"alias_kind":"arxiv_version","alias_value":"1104.0930v1","created_at":"2026-05-18T02:02:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.0930","created_at":"2026-05-18T02:02:37Z"},{"alias_kind":"pith_short_12","alias_value":"GV7VA7JVJOIE","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"GV7VA7JVJOIEYPMB","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"GV7VA7JV","created_at":"2026-05-18T12:26:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:GV7VA7JVJOIEYPMBOVBAPF5VUJ","target":"record","payload":{"canonical_record":{"source":{"id":"1104.0930","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-04-05T20:00:03Z","cross_cats_sorted":[],"title_canon_sha256":"f98a9f71d43cdd54558ed1fa3cdc5160c00626fac69ea1f5d7469a9a62dbfc45","abstract_canon_sha256":"db67dc39365da4b8aac83f2cd3fedf7dc9b97016f5055079fb5801c9825d5f43"},"schema_version":"1.0"},"canonical_sha256":"357f507d354b904c3d8175420797b5a270493a968cc92c3e8b1a1002dae41080","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:02:37.623455Z","signature_b64":"rs4AaaQYcLZ4q2DquFOebpx16Bmmyg9/WDpeV1CjDadn7tgrJ63vHTa3IkOIM2MoyKt7xqfQIeabAaah9m2aBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"357f507d354b904c3d8175420797b5a270493a968cc92c3e8b1a1002dae41080","last_reissued_at":"2026-05-18T02:02:37.622653Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:02:37.622653Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1104.0930","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":"2026-05-18T02:02:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yBQPbR/BeTR8N0SSr8QeefI2l+4qxCAEtxT9feuHCGYQgNDA6NqNiXz+QaNgq27c2BreP+WH6Ds7KiH7PtX0DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T14:09:50.903938Z"},"content_sha256":"fe2ea0ea7bb3eb8974c65eab8c8dc4ac7cf5bb173b120b94d42bffef3c6b847f","schema_version":"1.0","event_id":"sha256:fe2ea0ea7bb3eb8974c65eab8c8dc4ac7cf5bb173b120b94d42bffef3c6b847f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:GV7VA7JVJOIEYPMBOVBAPF5VUJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Probability Distribution for Non-Gaussianity Estimators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Benjamin D. Wandelt (IAP), Berkeley), Marc Kamionkowski (Caltech), Tristan L. Smith (UC","submitted_at":"2011-04-05T20:00:03Z","abstract_excerpt":"One of the principle efforts in cosmic microwave background (CMB) research is measurement of the parameter fnl that quantifies the departure from Gaussianity in a large class of non-minimal inflationary (and other) models. Estimators for fnl are composed of a sum of products of the temperatures in three different pixels in the CMB map. Since the number ~Npix^2 of terms in this sum exceeds the number Npix of measurements, these ~Npix^2 terms cannot be statistically independent. Therefore, the central-limit theorem does not necessarily apply, and the probability distribution function (PDF) for t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.0930","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":""},"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":"2026-05-18T02:02:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QcMNpcmKIRbuHY+sz7sWJhMakBDLhZTZnkZ/a3QQZdNEmu722tqzbs7EvSImbuzjJCU97r/H1e1ZnoDQRxKQCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T14:09:50.904284Z"},"content_sha256":"8545c07c1efabda94c0fa6f05e1ae5becaabed1270850c89800b03dacf2d19f1","schema_version":"1.0","event_id":"sha256:8545c07c1efabda94c0fa6f05e1ae5becaabed1270850c89800b03dacf2d19f1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GV7VA7JVJOIEYPMBOVBAPF5VUJ/bundle.json","state_url":"https://pith.science/pith/GV7VA7JVJOIEYPMBOVBAPF5VUJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GV7VA7JVJOIEYPMBOVBAPF5VUJ/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":"2026-05-21T14:09:50Z","links":{"resolver":"https://pith.science/pith/GV7VA7JVJOIEYPMBOVBAPF5VUJ","bundle":"https://pith.science/pith/GV7VA7JVJOIEYPMBOVBAPF5VUJ/bundle.json","state":"https://pith.science/pith/GV7VA7JVJOIEYPMBOVBAPF5VUJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GV7VA7JVJOIEYPMBOVBAPF5VUJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:GV7VA7JVJOIEYPMBOVBAPF5VUJ","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":"db67dc39365da4b8aac83f2cd3fedf7dc9b97016f5055079fb5801c9825d5f43","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-04-05T20:00:03Z","title_canon_sha256":"f98a9f71d43cdd54558ed1fa3cdc5160c00626fac69ea1f5d7469a9a62dbfc45"},"schema_version":"1.0","source":{"id":"1104.0930","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.0930","created_at":"2026-05-18T02:02:37Z"},{"alias_kind":"arxiv_version","alias_value":"1104.0930v1","created_at":"2026-05-18T02:02:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.0930","created_at":"2026-05-18T02:02:37Z"},{"alias_kind":"pith_short_12","alias_value":"GV7VA7JVJOIE","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"GV7VA7JVJOIEYPMB","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"GV7VA7JV","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:8545c07c1efabda94c0fa6f05e1ae5becaabed1270850c89800b03dacf2d19f1","target":"graph","created_at":"2026-05-18T02:02:37Z","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":"One of the principle efforts in cosmic microwave background (CMB) research is measurement of the parameter fnl that quantifies the departure from Gaussianity in a large class of non-minimal inflationary (and other) models. Estimators for fnl are composed of a sum of products of the temperatures in three different pixels in the CMB map. Since the number ~Npix^2 of terms in this sum exceeds the number Npix of measurements, these ~Npix^2 terms cannot be statistically independent. Therefore, the central-limit theorem does not necessarily apply, and the probability distribution function (PDF) for t","authors_text":"Benjamin D. Wandelt (IAP), Berkeley), Marc Kamionkowski (Caltech), Tristan L. Smith (UC","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-04-05T20:00:03Z","title":"The Probability Distribution for Non-Gaussianity Estimators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.0930","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:fe2ea0ea7bb3eb8974c65eab8c8dc4ac7cf5bb173b120b94d42bffef3c6b847f","target":"record","created_at":"2026-05-18T02:02:37Z","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":"db67dc39365da4b8aac83f2cd3fedf7dc9b97016f5055079fb5801c9825d5f43","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-04-05T20:00:03Z","title_canon_sha256":"f98a9f71d43cdd54558ed1fa3cdc5160c00626fac69ea1f5d7469a9a62dbfc45"},"schema_version":"1.0","source":{"id":"1104.0930","kind":"arxiv","version":1}},"canonical_sha256":"357f507d354b904c3d8175420797b5a270493a968cc92c3e8b1a1002dae41080","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"357f507d354b904c3d8175420797b5a270493a968cc92c3e8b1a1002dae41080","first_computed_at":"2026-05-18T02:02:37.622653Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:02:37.622653Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rs4AaaQYcLZ4q2DquFOebpx16Bmmyg9/WDpeV1CjDadn7tgrJ63vHTa3IkOIM2MoyKt7xqfQIeabAaah9m2aBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:02:37.623455Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.0930","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe2ea0ea7bb3eb8974c65eab8c8dc4ac7cf5bb173b120b94d42bffef3c6b847f","sha256:8545c07c1efabda94c0fa6f05e1ae5becaabed1270850c89800b03dacf2d19f1"],"state_sha256":"68548ea85735344a72e561c4cb3e6e6e60212e2b7340f775086c61ad013defbc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0FAT8Ri5rxeM6Lez/B62iAKY6fUKMNmOynv012owqiYMolj7iML0OG4vLg1zNQQ6v7wsAkVJYOFKn3tDMubICA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T14:09:50.906456Z","bundle_sha256":"42b656902bd3fb59adbd4212a377343f34d988b1afc7db94489ef4919ad2193f"}}