{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:2DSAIO555TKC2E2P3SO5OM2TXI","short_pith_number":"pith:2DSAIO55","canonical_record":{"source":{"id":"1502.00635","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-02-02T21:00:15Z","cross_cats_sorted":[],"title_canon_sha256":"c7dda82b7f2880fc93049ccd521e11440398d3a0516a2e2f714b5734114f3bce","abstract_canon_sha256":"82794f8370d5ce798efe8a7929503829e7c0ad28ec0264beaf0087b9e439ba52"},"schema_version":"1.0"},"canonical_sha256":"d0e4043bbdecd42d134fdc9dd73353ba36a2b389ec62e144b2e42e57f2aee9fe","source":{"kind":"arxiv","id":"1502.00635","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.00635","created_at":"2026-05-18T02:28:04Z"},{"alias_kind":"arxiv_version","alias_value":"1502.00635v1","created_at":"2026-05-18T02:28:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.00635","created_at":"2026-05-18T02:28:04Z"},{"alias_kind":"pith_short_12","alias_value":"2DSAIO555TKC","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"2DSAIO555TKC2E2P","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"2DSAIO55","created_at":"2026-05-18T12:28:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:2DSAIO555TKC2E2P3SO5OM2TXI","target":"record","payload":{"canonical_record":{"source":{"id":"1502.00635","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-02-02T21:00:15Z","cross_cats_sorted":[],"title_canon_sha256":"c7dda82b7f2880fc93049ccd521e11440398d3a0516a2e2f714b5734114f3bce","abstract_canon_sha256":"82794f8370d5ce798efe8a7929503829e7c0ad28ec0264beaf0087b9e439ba52"},"schema_version":"1.0"},"canonical_sha256":"d0e4043bbdecd42d134fdc9dd73353ba36a2b389ec62e144b2e42e57f2aee9fe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:28:04.678617Z","signature_b64":"19NrcOlDYGsGSeo2CntcpP3k68fCsfXws0++65Xli6fIuBRK15Xt7A32+Nmf9x4q3nCbeKEacNdfZQyKnn05Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d0e4043bbdecd42d134fdc9dd73353ba36a2b389ec62e144b2e42e57f2aee9fe","last_reissued_at":"2026-05-18T02:28:04.678192Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:28:04.678192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.00635","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":"2026-05-18T02:28:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"juKDLMOLcOXIRSdcUBz2cRKNEjs3/d95Wcy1J8UPq6ZlzbC53G0aMYtx909N/AEbIBbqjz3hnImPz0jo0qL1Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T11:48:05.703566Z"},"content_sha256":"110e1c7fb7bce07c52e5acb2c8729704fffbb183fcb96cd9baa41468b5c9817e","schema_version":"1.0","event_id":"sha256:110e1c7fb7bce07c52e5acb2c8729704fffbb183fcb96cd9baa41468b5c9817e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:2DSAIO555TKC2E2P3SO5OM2TXI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal analysis of the CMB trispectrum","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Kendrick M. Smith (Perimeter), Leonardo Senatore (Stanford), Matias Zaldarriaga (IAS)","submitted_at":"2015-02-02T21:00:15Z","abstract_excerpt":"We develop a general framework for data analysis and phenomenology of the CMB four-point function or trispectrum. To lowest order in the derivative expansion, the inflationary action admits three quartic operators consistent with symmetry: $\\dot\\sigma^4$, $\\dot\\sigma^2 (\\partial\\sigma^2)$, and $(\\partial\\sigma)^4$. In single field inflation, only the first of these operators can be the leading non-Gaussian signal. A Fisher matrix analysis shows that there is one near-degeneracy among the three CMB trispectra, so we parameterize the trispectrum with two coefficients $g_{NL}^{\\dot\\sigma^4}$ and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.00635","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":"2026-05-18T02:28:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X08rgzxaCFDD1+ccPD+CdgRfAgL3jcxSnmSqU+yhr5h9q5kNPl/DEgolryrtuhH5NGFfzw5HgZoZFzgqYEMxCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T11:48:05.704208Z"},"content_sha256":"cbed9d3699a48ac2f81dac49433ece3c4eb80b5171bd326e62fb3a04d38344a4","schema_version":"1.0","event_id":"sha256:cbed9d3699a48ac2f81dac49433ece3c4eb80b5171bd326e62fb3a04d38344a4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2DSAIO555TKC2E2P3SO5OM2TXI/bundle.json","state_url":"https://pith.science/pith/2DSAIO555TKC2E2P3SO5OM2TXI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2DSAIO555TKC2E2P3SO5OM2TXI/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":"2026-05-26T11:48:05Z","links":{"resolver":"https://pith.science/pith/2DSAIO555TKC2E2P3SO5OM2TXI","bundle":"https://pith.science/pith/2DSAIO555TKC2E2P3SO5OM2TXI/bundle.json","state":"https://pith.science/pith/2DSAIO555TKC2E2P3SO5OM2TXI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2DSAIO555TKC2E2P3SO5OM2TXI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:2DSAIO555TKC2E2P3SO5OM2TXI","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":"82794f8370d5ce798efe8a7929503829e7c0ad28ec0264beaf0087b9e439ba52","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-02-02T21:00:15Z","title_canon_sha256":"c7dda82b7f2880fc93049ccd521e11440398d3a0516a2e2f714b5734114f3bce"},"schema_version":"1.0","source":{"id":"1502.00635","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.00635","created_at":"2026-05-18T02:28:04Z"},{"alias_kind":"arxiv_version","alias_value":"1502.00635v1","created_at":"2026-05-18T02:28:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.00635","created_at":"2026-05-18T02:28:04Z"},{"alias_kind":"pith_short_12","alias_value":"2DSAIO555TKC","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"2DSAIO555TKC2E2P","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"2DSAIO55","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:cbed9d3699a48ac2f81dac49433ece3c4eb80b5171bd326e62fb3a04d38344a4","target":"graph","created_at":"2026-05-18T02:28:04Z","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 develop a general framework for data analysis and phenomenology of the CMB four-point function or trispectrum. To lowest order in the derivative expansion, the inflationary action admits three quartic operators consistent with symmetry: $\\dot\\sigma^4$, $\\dot\\sigma^2 (\\partial\\sigma^2)$, and $(\\partial\\sigma)^4$. In single field inflation, only the first of these operators can be the leading non-Gaussian signal. A Fisher matrix analysis shows that there is one near-degeneracy among the three CMB trispectra, so we parameterize the trispectrum with two coefficients $g_{NL}^{\\dot\\sigma^4}$ and ","authors_text":"Kendrick M. Smith (Perimeter), Leonardo Senatore (Stanford), Matias Zaldarriaga (IAS)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-02-02T21:00:15Z","title":"Optimal analysis of the CMB trispectrum"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.00635","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":"sha256:110e1c7fb7bce07c52e5acb2c8729704fffbb183fcb96cd9baa41468b5c9817e","target":"record","created_at":"2026-05-18T02:28:04Z","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":"82794f8370d5ce798efe8a7929503829e7c0ad28ec0264beaf0087b9e439ba52","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-02-02T21:00:15Z","title_canon_sha256":"c7dda82b7f2880fc93049ccd521e11440398d3a0516a2e2f714b5734114f3bce"},"schema_version":"1.0","source":{"id":"1502.00635","kind":"arxiv","version":1}},"canonical_sha256":"d0e4043bbdecd42d134fdc9dd73353ba36a2b389ec62e144b2e42e57f2aee9fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d0e4043bbdecd42d134fdc9dd73353ba36a2b389ec62e144b2e42e57f2aee9fe","first_computed_at":"2026-05-18T02:28:04.678192Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:28:04.678192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"19NrcOlDYGsGSeo2CntcpP3k68fCsfXws0++65Xli6fIuBRK15Xt7A32+Nmf9x4q3nCbeKEacNdfZQyKnn05Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:28:04.678617Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.00635","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:110e1c7fb7bce07c52e5acb2c8729704fffbb183fcb96cd9baa41468b5c9817e","sha256:cbed9d3699a48ac2f81dac49433ece3c4eb80b5171bd326e62fb3a04d38344a4"],"state_sha256":"e7efcb6637c9435f798494b30585d8b43d533a0480d7cc0a31b3bd634bb73317"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yPp/DiJCsmsMP2qwLVdExUFRc2QVAK0jLR1d18VVnekBgqxttJ2PDN+kurJvHmxbiZfv94UBzqYdC8/5c1WiCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T11:48:05.707191Z","bundle_sha256":"45fc998056cd3a5ed47394a86c92dc3504da6719175a04e8e802eaee3afbc5eb"}}