{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:VYTEFSL6CYBNVFPLHZFEH64RS5","short_pith_number":"pith:VYTEFSL6","canonical_record":{"source":{"id":"2409.03821","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-09-05T18:00:02Z","cross_cats_sorted":[],"title_canon_sha256":"5fdf284a0b9fe2ecfed180db855e27416a6d0478a1df5a19b9a528ae862641f1","abstract_canon_sha256":"d640f67218608cc29e3230a34a1b6ad1f54e05ddff6ec7691c1cc6cf602ab575"},"schema_version":"1.0"},"canonical_sha256":"ae2642c97e1602da95eb3e4a43fb91975d085cc2e6470cdbbdd27cb70e1ca490","source":{"kind":"arxiv","id":"2409.03821","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.03821","created_at":"2026-07-05T09:03:57Z"},{"alias_kind":"arxiv_version","alias_value":"2409.03821v1","created_at":"2026-07-05T09:03:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.03821","created_at":"2026-07-05T09:03:57Z"},{"alias_kind":"pith_short_12","alias_value":"VYTEFSL6CYBN","created_at":"2026-07-05T09:03:57Z"},{"alias_kind":"pith_short_16","alias_value":"VYTEFSL6CYBNVFPL","created_at":"2026-07-05T09:03:57Z"},{"alias_kind":"pith_short_8","alias_value":"VYTEFSL6","created_at":"2026-07-05T09:03:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:VYTEFSL6CYBNVFPLHZFEH64RS5","target":"record","payload":{"canonical_record":{"source":{"id":"2409.03821","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-09-05T18:00:02Z","cross_cats_sorted":[],"title_canon_sha256":"5fdf284a0b9fe2ecfed180db855e27416a6d0478a1df5a19b9a528ae862641f1","abstract_canon_sha256":"d640f67218608cc29e3230a34a1b6ad1f54e05ddff6ec7691c1cc6cf602ab575"},"schema_version":"1.0"},"canonical_sha256":"ae2642c97e1602da95eb3e4a43fb91975d085cc2e6470cdbbdd27cb70e1ca490","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:03:57.594069Z","signature_b64":"Ky52itMzMtkjTwb9D5+JSofSeIwPmr80IzrrptrdUoW63rU10RaBipSWNVhct7snomWrlcfOZ/aFzJyxW5VdCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ae2642c97e1602da95eb3e4a43fb91975d085cc2e6470cdbbdd27cb70e1ca490","last_reissued_at":"2026-07-05T09:03:57.593591Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:03:57.593591Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2409.03821","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":"2026-07-05T09:03:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5vMF81n3zuyxlzz+lOImm+JaHR7QMwgi6k6pUUGPX+EM462tgpS+DcjlNgx4xzwftGUphDZ0av2jTs8BH1sFCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T17:02:18.099327Z"},"content_sha256":"e8b0ebfd296345bbfaf459e2589c73fd4347cb323d0b6eb8ef7863ab7a635d3e","schema_version":"1.0","event_id":"sha256:e8b0ebfd296345bbfaf459e2589c73fd4347cb323d0b6eb8ef7863ab7a635d3e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:VYTEFSL6CYBNVFPLHZFEH64RS5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Long-distance N-partite information for fermionic CFTs","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"C\\'esar A. Ag\\'on, Guido van der Velde, Pablo Bueno","submitted_at":"2024-09-05T18:00:02Z","abstract_excerpt":"The mutual information, $I_2$, of general spacetime regions is expected to capture the full data of any conformal field theory (CFT). For spherical regions, this data can be accessed from long-distance expansions of the mutual information of pairs of regions as well as of suitably chosen linear combinations of mutual informations involving more than two regions and their unions -- namely, the $N$-partite information, $I_N$. In particular, the leading term in the $I_2$ long-distance expansion is fully determined by the spin and conformal dimension of the lowest-dimensional primary of the theory"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.03821","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2409.03821/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":"2026-07-05T09:03:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5kdWYHb+Q3HtpZI1Z1zxQbYLJCpUq6W+fcG3enApMSSV8Nk5m8MJxH2p5/pmbGIoNCRTfN+dQq0iUoQw2hEjDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T17:02:18.099904Z"},"content_sha256":"66ff9fe81535a255d15e7514e5ea0113de34fbce518b2e682d1d0f4778d9387c","schema_version":"1.0","event_id":"sha256:66ff9fe81535a255d15e7514e5ea0113de34fbce518b2e682d1d0f4778d9387c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VYTEFSL6CYBNVFPLHZFEH64RS5/bundle.json","state_url":"https://pith.science/pith/VYTEFSL6CYBNVFPLHZFEH64RS5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VYTEFSL6CYBNVFPLHZFEH64RS5/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":"2026-08-03T17:02:18Z","links":{"resolver":"https://pith.science/pith/VYTEFSL6CYBNVFPLHZFEH64RS5","bundle":"https://pith.science/pith/VYTEFSL6CYBNVFPLHZFEH64RS5/bundle.json","state":"https://pith.science/pith/VYTEFSL6CYBNVFPLHZFEH64RS5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VYTEFSL6CYBNVFPLHZFEH64RS5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:VYTEFSL6CYBNVFPLHZFEH64RS5","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":"d640f67218608cc29e3230a34a1b6ad1f54e05ddff6ec7691c1cc6cf602ab575","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-09-05T18:00:02Z","title_canon_sha256":"5fdf284a0b9fe2ecfed180db855e27416a6d0478a1df5a19b9a528ae862641f1"},"schema_version":"1.0","source":{"id":"2409.03821","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.03821","created_at":"2026-07-05T09:03:57Z"},{"alias_kind":"arxiv_version","alias_value":"2409.03821v1","created_at":"2026-07-05T09:03:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.03821","created_at":"2026-07-05T09:03:57Z"},{"alias_kind":"pith_short_12","alias_value":"VYTEFSL6CYBN","created_at":"2026-07-05T09:03:57Z"},{"alias_kind":"pith_short_16","alias_value":"VYTEFSL6CYBNVFPL","created_at":"2026-07-05T09:03:57Z"},{"alias_kind":"pith_short_8","alias_value":"VYTEFSL6","created_at":"2026-07-05T09:03:57Z"}],"graph_snapshots":[{"event_id":"sha256:66ff9fe81535a255d15e7514e5ea0113de34fbce518b2e682d1d0f4778d9387c","target":"graph","created_at":"2026-07-05T09:03:57Z","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/2409.03821/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The mutual information, $I_2$, of general spacetime regions is expected to capture the full data of any conformal field theory (CFT). For spherical regions, this data can be accessed from long-distance expansions of the mutual information of pairs of regions as well as of suitably chosen linear combinations of mutual informations involving more than two regions and their unions -- namely, the $N$-partite information, $I_N$. In particular, the leading term in the $I_2$ long-distance expansion is fully determined by the spin and conformal dimension of the lowest-dimensional primary of the theory","authors_text":"C\\'esar A. Ag\\'on, Guido van der Velde, Pablo Bueno","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-09-05T18:00:02Z","title":"Long-distance N-partite information for fermionic CFTs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.03821","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:e8b0ebfd296345bbfaf459e2589c73fd4347cb323d0b6eb8ef7863ab7a635d3e","target":"record","created_at":"2026-07-05T09:03:57Z","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":"d640f67218608cc29e3230a34a1b6ad1f54e05ddff6ec7691c1cc6cf602ab575","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-09-05T18:00:02Z","title_canon_sha256":"5fdf284a0b9fe2ecfed180db855e27416a6d0478a1df5a19b9a528ae862641f1"},"schema_version":"1.0","source":{"id":"2409.03821","kind":"arxiv","version":1}},"canonical_sha256":"ae2642c97e1602da95eb3e4a43fb91975d085cc2e6470cdbbdd27cb70e1ca490","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae2642c97e1602da95eb3e4a43fb91975d085cc2e6470cdbbdd27cb70e1ca490","first_computed_at":"2026-07-05T09:03:57.593591Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:03:57.593591Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ky52itMzMtkjTwb9D5+JSofSeIwPmr80IzrrptrdUoW63rU10RaBipSWNVhct7snomWrlcfOZ/aFzJyxW5VdCA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:03:57.594069Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.03821","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e8b0ebfd296345bbfaf459e2589c73fd4347cb323d0b6eb8ef7863ab7a635d3e","sha256:66ff9fe81535a255d15e7514e5ea0113de34fbce518b2e682d1d0f4778d9387c"],"state_sha256":"85be63f16ede296c3df3ccf9a8bb39bafc00c0a9a63b5cec1558ca5ce22498af"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H58U5SRUhQuF7ExLAgXe+NjEfweKiun9vdSAJ4Arjo9xlk87nxlL6jN+CChM7f/36Ajrri2523TzlUZ9xJCoBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T17:02:18.105048Z","bundle_sha256":"d5f92cfdfebbf0b8b1963125c679e94e6d752ffc236a19bcbd476e741f3004d3"}}