{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:LVGQMGULC54WCGNE4HZFEUJLEQ","short_pith_number":"pith:LVGQMGUL","canonical_record":{"source":{"id":"1207.1183","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-07-05T08:02:08Z","cross_cats_sorted":[],"title_canon_sha256":"a82381efb1f6d25ce368fb733b15d741d35b453d2b23e0d537ff6319f8c77096","abstract_canon_sha256":"87bd708845c7e54afdab692d50d9eb6128b0162b396afd10c0c4da333d67dc75"},"schema_version":"1.0"},"canonical_sha256":"5d4d061a8b17796119a4e1f252512b24165b32735042c54dfe44e96cf86fc0dd","source":{"kind":"arxiv","id":"1207.1183","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.1183","created_at":"2026-05-18T03:44:35Z"},{"alias_kind":"arxiv_version","alias_value":"1207.1183v2","created_at":"2026-05-18T03:44:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.1183","created_at":"2026-05-18T03:44:35Z"},{"alias_kind":"pith_short_12","alias_value":"LVGQMGULC54W","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LVGQMGULC54WCGNE","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LVGQMGUL","created_at":"2026-05-18T12:27:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:LVGQMGULC54WCGNE4HZFEUJLEQ","target":"record","payload":{"canonical_record":{"source":{"id":"1207.1183","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-07-05T08:02:08Z","cross_cats_sorted":[],"title_canon_sha256":"a82381efb1f6d25ce368fb733b15d741d35b453d2b23e0d537ff6319f8c77096","abstract_canon_sha256":"87bd708845c7e54afdab692d50d9eb6128b0162b396afd10c0c4da333d67dc75"},"schema_version":"1.0"},"canonical_sha256":"5d4d061a8b17796119a4e1f252512b24165b32735042c54dfe44e96cf86fc0dd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:44:35.715347Z","signature_b64":"WHhIINkOqr8uGGbWVk0GbR55sp4zZUtxAD7GjET7TpM05QP4wUSGwuKgRpy2GYp6UoQ1NYHEAZgoFI3c/EyFDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5d4d061a8b17796119a4e1f252512b24165b32735042c54dfe44e96cf86fc0dd","last_reissued_at":"2026-05-18T03:44:35.714599Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:44:35.714599Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1207.1183","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":"2026-05-18T03:44:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OwYx3ZQpbhf8/pcU6zp+KbDbkaldmDuJNWhq7uBabijKf/J/d3gtTHro3hh2mdszdY1F8t6GR07O3fK7Zn2ICQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T17:38:08.463259Z"},"content_sha256":"52b3bbcc5fb3e211b5084e142bdaab919268bd3c2b8558d38cf19c8d23903670","schema_version":"1.0","event_id":"sha256:52b3bbcc5fb3e211b5084e142bdaab919268bd3c2b8558d38cf19c8d23903670"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:LVGQMGULC54WCGNE4HZFEUJLEQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Limits on Second-Order Non-Gaussianity from Minkowski Functionals of WMAP Data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Chiaki Hikage, Takahiko Matsubara","submitted_at":"2012-07-05T08:02:08Z","abstract_excerpt":"We analyze non-Gaussianity (NG) due to the primordial bispectrum and trispectrum using CMB temperature maps of WMAP 7-year data. We first apply the perturbative formulae of Minkowski functionals up to second-order NG derived by Matsubara (2010), which enable us to give limits on cubic NG parametrized with tau_NL and g_NL as well as various types of quadratic NG parametrized with f_NL. We find no signature of primordial NG in WMAP 7-year data, but give constraints on the local-type, equilateral-type, orthogonal-type f_NL: f_NL(loc)=20+-42, f_NL(eq)=-121+-208, f_NL(ort)=-129+-171, respectively, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.1183","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":"2026-05-18T03:44:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OrvdmAsXPGH0t3mRGPaHpZr+c2WhsVS1MM3uG2ag0YfX0nDKtuHyZuY5N0vULE1nmkbgX/LhSY+FRQskgaycCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T17:38:08.463617Z"},"content_sha256":"6dd1170ce7b5f9d7be5295012313b31d438152ef9f336c9ad36230a3a24bd63e","schema_version":"1.0","event_id":"sha256:6dd1170ce7b5f9d7be5295012313b31d438152ef9f336c9ad36230a3a24bd63e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LVGQMGULC54WCGNE4HZFEUJLEQ/bundle.json","state_url":"https://pith.science/pith/LVGQMGULC54WCGNE4HZFEUJLEQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LVGQMGULC54WCGNE4HZFEUJLEQ/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":"2026-06-03T17:38:08Z","links":{"resolver":"https://pith.science/pith/LVGQMGULC54WCGNE4HZFEUJLEQ","bundle":"https://pith.science/pith/LVGQMGULC54WCGNE4HZFEUJLEQ/bundle.json","state":"https://pith.science/pith/LVGQMGULC54WCGNE4HZFEUJLEQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LVGQMGULC54WCGNE4HZFEUJLEQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:LVGQMGULC54WCGNE4HZFEUJLEQ","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":"87bd708845c7e54afdab692d50d9eb6128b0162b396afd10c0c4da333d67dc75","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-07-05T08:02:08Z","title_canon_sha256":"a82381efb1f6d25ce368fb733b15d741d35b453d2b23e0d537ff6319f8c77096"},"schema_version":"1.0","source":{"id":"1207.1183","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.1183","created_at":"2026-05-18T03:44:35Z"},{"alias_kind":"arxiv_version","alias_value":"1207.1183v2","created_at":"2026-05-18T03:44:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.1183","created_at":"2026-05-18T03:44:35Z"},{"alias_kind":"pith_short_12","alias_value":"LVGQMGULC54W","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LVGQMGULC54WCGNE","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LVGQMGUL","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:6dd1170ce7b5f9d7be5295012313b31d438152ef9f336c9ad36230a3a24bd63e","target":"graph","created_at":"2026-05-18T03:44:35Z","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 analyze non-Gaussianity (NG) due to the primordial bispectrum and trispectrum using CMB temperature maps of WMAP 7-year data. We first apply the perturbative formulae of Minkowski functionals up to second-order NG derived by Matsubara (2010), which enable us to give limits on cubic NG parametrized with tau_NL and g_NL as well as various types of quadratic NG parametrized with f_NL. We find no signature of primordial NG in WMAP 7-year data, but give constraints on the local-type, equilateral-type, orthogonal-type f_NL: f_NL(loc)=20+-42, f_NL(eq)=-121+-208, f_NL(ort)=-129+-171, respectively, ","authors_text":"Chiaki Hikage, Takahiko Matsubara","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-07-05T08:02:08Z","title":"Limits on Second-Order Non-Gaussianity from Minkowski Functionals of WMAP Data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.1183","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":"sha256:52b3bbcc5fb3e211b5084e142bdaab919268bd3c2b8558d38cf19c8d23903670","target":"record","created_at":"2026-05-18T03:44:35Z","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":"87bd708845c7e54afdab692d50d9eb6128b0162b396afd10c0c4da333d67dc75","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-07-05T08:02:08Z","title_canon_sha256":"a82381efb1f6d25ce368fb733b15d741d35b453d2b23e0d537ff6319f8c77096"},"schema_version":"1.0","source":{"id":"1207.1183","kind":"arxiv","version":2}},"canonical_sha256":"5d4d061a8b17796119a4e1f252512b24165b32735042c54dfe44e96cf86fc0dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d4d061a8b17796119a4e1f252512b24165b32735042c54dfe44e96cf86fc0dd","first_computed_at":"2026-05-18T03:44:35.714599Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:44:35.714599Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WHhIINkOqr8uGGbWVk0GbR55sp4zZUtxAD7GjET7TpM05QP4wUSGwuKgRpy2GYp6UoQ1NYHEAZgoFI3c/EyFDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:44:35.715347Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.1183","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:52b3bbcc5fb3e211b5084e142bdaab919268bd3c2b8558d38cf19c8d23903670","sha256:6dd1170ce7b5f9d7be5295012313b31d438152ef9f336c9ad36230a3a24bd63e"],"state_sha256":"9c6e09a75365e392b3e7aea1af1ffd5ad1284d591462163d2d714f6a1311fcb0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QoZQN98lInbsBJH+MZFuBUKbnHART9i8i3oG1OZyV8WAaQGkYh7D8jRJlnbxaT5uPqVmig5sL05C7+m5Z3XwCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T17:38:08.469301Z","bundle_sha256":"2a69b43e1818accdd9495e2b915f234a54b53557086ed9785b3516c74ef677ab"}}