{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:JIPYUW7S5LN7L6IU7W6AJARUOV","short_pith_number":"pith:JIPYUW7S","canonical_record":{"source":{"id":"2106.15100","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-06-29T05:31:56Z","cross_cats_sorted":["hep-th","quant-ph"],"title_canon_sha256":"e9a0817bb301e65c46d6f4c96001b718e68d93646bdfe2c04f856aead5786b0e","abstract_canon_sha256":"5d99e98ba123f1613134fd3b9ef5c1ac8066b45988223e5c6fd818cb79f0d2ce"},"schema_version":"1.0"},"canonical_sha256":"4a1f8a5bf2eadbf5f914fdbc0482347542edd7be8cca87fb3f2d3a4898a9035f","source":{"kind":"arxiv","id":"2106.15100","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2106.15100","created_at":"2026-07-05T06:25:56Z"},{"alias_kind":"arxiv_version","alias_value":"2106.15100v3","created_at":"2026-07-05T06:25:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2106.15100","created_at":"2026-07-05T06:25:56Z"},{"alias_kind":"pith_short_12","alias_value":"JIPYUW7S5LN7","created_at":"2026-07-05T06:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"JIPYUW7S5LN7L6IU","created_at":"2026-07-05T06:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"JIPYUW7S","created_at":"2026-07-05T06:25:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:JIPYUW7S5LN7L6IU7W6AJARUOV","target":"record","payload":{"canonical_record":{"source":{"id":"2106.15100","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-06-29T05:31:56Z","cross_cats_sorted":["hep-th","quant-ph"],"title_canon_sha256":"e9a0817bb301e65c46d6f4c96001b718e68d93646bdfe2c04f856aead5786b0e","abstract_canon_sha256":"5d99e98ba123f1613134fd3b9ef5c1ac8066b45988223e5c6fd818cb79f0d2ce"},"schema_version":"1.0"},"canonical_sha256":"4a1f8a5bf2eadbf5f914fdbc0482347542edd7be8cca87fb3f2d3a4898a9035f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:25:56.687370Z","signature_b64":"E4R6yxXKZRIrNyJIxnyBg+WLMx+sN2F4NQQt9mqH5cBPvXEaDJaNkmTpQd+gP+NgR/uvAjGUqLrg7sUdDoMGBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4a1f8a5bf2eadbf5f914fdbc0482347542edd7be8cca87fb3f2d3a4898a9035f","last_reissued_at":"2026-07-05T06:25:56.686881Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:25:56.686881Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2106.15100","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:25:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DPdISiwqGP6fa0/W+Nb+S7in5rczd3V5jZXSoOPhH6pjraE1Uj/Kvp62c/4YpEMcM6t7G4FmTPIUYBDLsTFEBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T21:11:49.527632Z"},"content_sha256":"7aaa4713ede8b68b0a12afdc99f45b00af55073b3531007e0d28018cfeab1c48","schema_version":"1.0","event_id":"sha256:7aaa4713ede8b68b0a12afdc99f45b00af55073b3531007e0d28018cfeab1c48"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:JIPYUW7S5LN7L6IU7W6AJARUOV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Real-space entanglement in the Cosmic Microwave Background","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","quant-ph"],"primary_cat":"gr-qc","authors_text":"Jerome Martin, Vincent Vennin","submitted_at":"2021-06-29T05:31:56Z","abstract_excerpt":"We compute the entanglement entropy, mutual information and quantum discord of the Cosmic Microwave Background (CMB) fluctuations in real space. To that end, we first show that measurements of these fluctuations at two distinct spatial locations can be described by a bipartite, continuous Gaussian system. This leads to explicit formulas for the mutual information and the quantum discord in terms of the Fourier-space power spectra of the curvature perturbation. We then find that quantum entanglement, that builds up in Fourier space between opposite wave momenta as an effect of quantum squeezing"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.15100","kind":"arxiv","version":3},"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/2106.15100/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":"2026-07-05T06:25:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X+q4hwzLzBXwjNLA3rkAvYvaYgYz5hLUguJ9CYKOYhR65xHE4fNUIZRPsgVTwomDILniAOQKZmXlH3j09/evAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T21:11:49.528980Z"},"content_sha256":"cbcdd2c729da1e560147f45aed417f332ad9b6944a9957e75b6b96149b51af11","schema_version":"1.0","event_id":"sha256:cbcdd2c729da1e560147f45aed417f332ad9b6944a9957e75b6b96149b51af11"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JIPYUW7S5LN7L6IU7W6AJARUOV/bundle.json","state_url":"https://pith.science/pith/JIPYUW7S5LN7L6IU7W6AJARUOV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JIPYUW7S5LN7L6IU7W6AJARUOV/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":"2026-08-19T21:11:49Z","links":{"resolver":"https://pith.science/pith/JIPYUW7S5LN7L6IU7W6AJARUOV","bundle":"https://pith.science/pith/JIPYUW7S5LN7L6IU7W6AJARUOV/bundle.json","state":"https://pith.science/pith/JIPYUW7S5LN7L6IU7W6AJARUOV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JIPYUW7S5LN7L6IU7W6AJARUOV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:JIPYUW7S5LN7L6IU7W6AJARUOV","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":"5d99e98ba123f1613134fd3b9ef5c1ac8066b45988223e5c6fd818cb79f0d2ce","cross_cats_sorted":["hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-06-29T05:31:56Z","title_canon_sha256":"e9a0817bb301e65c46d6f4c96001b718e68d93646bdfe2c04f856aead5786b0e"},"schema_version":"1.0","source":{"id":"2106.15100","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2106.15100","created_at":"2026-07-05T06:25:56Z"},{"alias_kind":"arxiv_version","alias_value":"2106.15100v3","created_at":"2026-07-05T06:25:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2106.15100","created_at":"2026-07-05T06:25:56Z"},{"alias_kind":"pith_short_12","alias_value":"JIPYUW7S5LN7","created_at":"2026-07-05T06:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"JIPYUW7S5LN7L6IU","created_at":"2026-07-05T06:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"JIPYUW7S","created_at":"2026-07-05T06:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:cbcdd2c729da1e560147f45aed417f332ad9b6944a9957e75b6b96149b51af11","target":"graph","created_at":"2026-07-05T06:25:56Z","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/2106.15100/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We compute the entanglement entropy, mutual information and quantum discord of the Cosmic Microwave Background (CMB) fluctuations in real space. To that end, we first show that measurements of these fluctuations at two distinct spatial locations can be described by a bipartite, continuous Gaussian system. This leads to explicit formulas for the mutual information and the quantum discord in terms of the Fourier-space power spectra of the curvature perturbation. We then find that quantum entanglement, that builds up in Fourier space between opposite wave momenta as an effect of quantum squeezing","authors_text":"Jerome Martin, Vincent Vennin","cross_cats":["hep-th","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-06-29T05:31:56Z","title":"Real-space entanglement in the Cosmic Microwave Background"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.15100","kind":"arxiv","version":3},"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":"sha256:7aaa4713ede8b68b0a12afdc99f45b00af55073b3531007e0d28018cfeab1c48","target":"record","created_at":"2026-07-05T06:25:56Z","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":"5d99e98ba123f1613134fd3b9ef5c1ac8066b45988223e5c6fd818cb79f0d2ce","cross_cats_sorted":["hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-06-29T05:31:56Z","title_canon_sha256":"e9a0817bb301e65c46d6f4c96001b718e68d93646bdfe2c04f856aead5786b0e"},"schema_version":"1.0","source":{"id":"2106.15100","kind":"arxiv","version":3}},"canonical_sha256":"4a1f8a5bf2eadbf5f914fdbc0482347542edd7be8cca87fb3f2d3a4898a9035f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4a1f8a5bf2eadbf5f914fdbc0482347542edd7be8cca87fb3f2d3a4898a9035f","first_computed_at":"2026-07-05T06:25:56.686881Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:25:56.686881Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E4R6yxXKZRIrNyJIxnyBg+WLMx+sN2F4NQQt9mqH5cBPvXEaDJaNkmTpQd+gP+NgR/uvAjGUqLrg7sUdDoMGBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:25:56.687370Z","signed_message":"canonical_sha256_bytes"},"source_id":"2106.15100","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7aaa4713ede8b68b0a12afdc99f45b00af55073b3531007e0d28018cfeab1c48","sha256:cbcdd2c729da1e560147f45aed417f332ad9b6944a9957e75b6b96149b51af11"],"state_sha256":"91116a391da012235ab65cf39fd8eaae3f94962acc71f37b91319969bef05817"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wDdlDjQh+zASVIOqh2NTQ6vT2YUguCTm/dYeQOZx5m4yivxVtMrS3z85iAoZ2woxCaYKmiZB5qnqK2lEwMMfAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T21:11:49.534661Z","bundle_sha256":"ac1b6b9242202f26c4bc9bf9e6457fb04ab2593aa270169726c037150b2240f3"}}