{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:RP7CBLYNESDEXC76GZTU66XXPI","short_pith_number":"pith:RP7CBLYN","canonical_record":{"source":{"id":"1109.0729","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-09-04T16:56:43Z","cross_cats_sorted":[],"title_canon_sha256":"bbb29702742491c1aa0512bee61c116315491758b48f06cdb2aadadc594de2c2","abstract_canon_sha256":"500f7044a38a7b585741fd6db9ca73b83fb64878ca86fb5472977f93c31ee766"},"schema_version":"1.0"},"canonical_sha256":"8bfe20af0d24864b8bfe36674f7af77a3f0d32f36678ace93b55de7031fea569","source":{"kind":"arxiv","id":"1109.0729","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.0729","created_at":"2026-05-18T03:12:33Z"},{"alias_kind":"arxiv_version","alias_value":"1109.0729v1","created_at":"2026-05-18T03:12:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.0729","created_at":"2026-05-18T03:12:33Z"},{"alias_kind":"pith_short_12","alias_value":"RP7CBLYNESDE","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"RP7CBLYNESDEXC76","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"RP7CBLYN","created_at":"2026-05-18T12:26:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:RP7CBLYNESDEXC76GZTU66XXPI","target":"record","payload":{"canonical_record":{"source":{"id":"1109.0729","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-09-04T16:56:43Z","cross_cats_sorted":[],"title_canon_sha256":"bbb29702742491c1aa0512bee61c116315491758b48f06cdb2aadadc594de2c2","abstract_canon_sha256":"500f7044a38a7b585741fd6db9ca73b83fb64878ca86fb5472977f93c31ee766"},"schema_version":"1.0"},"canonical_sha256":"8bfe20af0d24864b8bfe36674f7af77a3f0d32f36678ace93b55de7031fea569","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:12:33.470338Z","signature_b64":"8HjP/4Po7XJfQsn4Scg3ZMtOD81xEzxpQTqVYUfRb+E7zQ2I4h7Cn/VQ9LFU4DbmsOp9euFFmqD0QPwtYzm6Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8bfe20af0d24864b8bfe36674f7af77a3f0d32f36678ace93b55de7031fea569","last_reissued_at":"2026-05-18T03:12:33.469536Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:12:33.469536Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.0729","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":"2026-05-18T03:12:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"87Ym5Cc1YJhXTlzfpkUZ0GIVBeIoDy3O97oLRSUyjXI27JNEWRH4xqxffbXpXVhrCGopO2DVVsFk7R+B4CSxBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T10:01:28.250190Z"},"content_sha256":"86a4ecf87a33d87175fb59056d547b19cd5a51dc9a68cd9cbea5718fe5aecf25","schema_version":"1.0","event_id":"sha256:86a4ecf87a33d87175fb59056d547b19cd5a51dc9a68cd9cbea5718fe5aecf25"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:RP7CBLYNESDEXC76GZTU66XXPI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Statistics of Bipolar Representation of CMB maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Aditya Rotti, Nidhi Joshi, Tarun Souradeep","submitted_at":"2011-09-04T16:56:43Z","abstract_excerpt":"Gaussianity of temperature fluctuations in the Cosmic Microwave Background(CMB) implies that the statistical properties of the temperature field can be completely characterized by its two point correlation function. The two point correlation function can be expanded in full generality in the bipolar spherical harmonic(BipoSH) basis. Looking for significant deviations from zero for Bipolar Spherical Harmonic(BipoSH) Coefficients derived from observed CMB maps forms the basis of the strategy used to detect isotropy violation. In order to quantify \"significant deviation\" we need to understand the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.0729","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":"2026-05-18T03:12:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qtttzmiIbS7aVk7tVORJOSnZcZf+6QCKpVz6qKZPb6fAM575cXxaokjXAZM+8ksiDSo4CWUSJCmCdRdLp75JDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T10:01:28.250546Z"},"content_sha256":"10290f32ab73491ce0c45c641663a1d8a136a4b6eba3011a25af9ec4eca1d1b6","schema_version":"1.0","event_id":"sha256:10290f32ab73491ce0c45c641663a1d8a136a4b6eba3011a25af9ec4eca1d1b6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RP7CBLYNESDEXC76GZTU66XXPI/bundle.json","state_url":"https://pith.science/pith/RP7CBLYNESDEXC76GZTU66XXPI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RP7CBLYNESDEXC76GZTU66XXPI/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":"2026-05-28T10:01:28Z","links":{"resolver":"https://pith.science/pith/RP7CBLYNESDEXC76GZTU66XXPI","bundle":"https://pith.science/pith/RP7CBLYNESDEXC76GZTU66XXPI/bundle.json","state":"https://pith.science/pith/RP7CBLYNESDEXC76GZTU66XXPI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RP7CBLYNESDEXC76GZTU66XXPI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:RP7CBLYNESDEXC76GZTU66XXPI","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":"500f7044a38a7b585741fd6db9ca73b83fb64878ca86fb5472977f93c31ee766","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-09-04T16:56:43Z","title_canon_sha256":"bbb29702742491c1aa0512bee61c116315491758b48f06cdb2aadadc594de2c2"},"schema_version":"1.0","source":{"id":"1109.0729","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.0729","created_at":"2026-05-18T03:12:33Z"},{"alias_kind":"arxiv_version","alias_value":"1109.0729v1","created_at":"2026-05-18T03:12:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.0729","created_at":"2026-05-18T03:12:33Z"},{"alias_kind":"pith_short_12","alias_value":"RP7CBLYNESDE","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"RP7CBLYNESDEXC76","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"RP7CBLYN","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:10290f32ab73491ce0c45c641663a1d8a136a4b6eba3011a25af9ec4eca1d1b6","target":"graph","created_at":"2026-05-18T03:12:33Z","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":"Gaussianity of temperature fluctuations in the Cosmic Microwave Background(CMB) implies that the statistical properties of the temperature field can be completely characterized by its two point correlation function. The two point correlation function can be expanded in full generality in the bipolar spherical harmonic(BipoSH) basis. Looking for significant deviations from zero for Bipolar Spherical Harmonic(BipoSH) Coefficients derived from observed CMB maps forms the basis of the strategy used to detect isotropy violation. In order to quantify \"significant deviation\" we need to understand the","authors_text":"Aditya Rotti, Nidhi Joshi, Tarun Souradeep","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-09-04T16:56:43Z","title":"Statistics of Bipolar Representation of CMB maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.0729","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":"sha256:86a4ecf87a33d87175fb59056d547b19cd5a51dc9a68cd9cbea5718fe5aecf25","target":"record","created_at":"2026-05-18T03:12:33Z","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":"500f7044a38a7b585741fd6db9ca73b83fb64878ca86fb5472977f93c31ee766","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-09-04T16:56:43Z","title_canon_sha256":"bbb29702742491c1aa0512bee61c116315491758b48f06cdb2aadadc594de2c2"},"schema_version":"1.0","source":{"id":"1109.0729","kind":"arxiv","version":1}},"canonical_sha256":"8bfe20af0d24864b8bfe36674f7af77a3f0d32f36678ace93b55de7031fea569","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8bfe20af0d24864b8bfe36674f7af77a3f0d32f36678ace93b55de7031fea569","first_computed_at":"2026-05-18T03:12:33.469536Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:12:33.469536Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8HjP/4Po7XJfQsn4Scg3ZMtOD81xEzxpQTqVYUfRb+E7zQ2I4h7Cn/VQ9LFU4DbmsOp9euFFmqD0QPwtYzm6Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:12:33.470338Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.0729","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86a4ecf87a33d87175fb59056d547b19cd5a51dc9a68cd9cbea5718fe5aecf25","sha256:10290f32ab73491ce0c45c641663a1d8a136a4b6eba3011a25af9ec4eca1d1b6"],"state_sha256":"8d51f953774805ce8e328bd63755d5d37041cf7c30468f63d4c22bcb566a7f68"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c47VKH1ddC530hnSpQgGJlD8i8tASEHA2odF/Bo67DPSETK3MgDsIVA6gQPmOyqlpjKgaZcl1tmFo9K83LcjCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T10:01:28.252462Z","bundle_sha256":"0b4d9b5c7318798a3f8615101b5ba1d183e497d1f4d26e79835cf5556b55518b"}}