{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:YO4DD7UPT6QK4ZH6WCAEYFXU5W","short_pith_number":"pith:YO4DD7UP","canonical_record":{"source":{"id":"1406.4858","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-18T20:00:00Z","cross_cats_sorted":["cond-mat.stat-mech","hep-lat"],"title_canon_sha256":"fa0462b6207c944fb0c59ae16236d7b5fe34c413049825203660967098a89778","abstract_canon_sha256":"3e08eae46fc1a9f6519d00c1b12d80f1525afcf7da3052879775656cfa968c1d"},"schema_version":"1.0"},"canonical_sha256":"c3b831fe8f9fa0ae64feb0804c16f4ed98984bf1c3f9f78a5349ae08512273a4","source":{"kind":"arxiv","id":"1406.4858","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.4858","created_at":"2026-05-18T02:32:07Z"},{"alias_kind":"arxiv_version","alias_value":"1406.4858v1","created_at":"2026-05-18T02:32:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.4858","created_at":"2026-05-18T02:32:07Z"},{"alias_kind":"pith_short_12","alias_value":"YO4DD7UPT6QK","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YO4DD7UPT6QK4ZH6","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YO4DD7UP","created_at":"2026-05-18T12:28:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:YO4DD7UPT6QK4ZH6WCAEYFXU5W","target":"record","payload":{"canonical_record":{"source":{"id":"1406.4858","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-18T20:00:00Z","cross_cats_sorted":["cond-mat.stat-mech","hep-lat"],"title_canon_sha256":"fa0462b6207c944fb0c59ae16236d7b5fe34c413049825203660967098a89778","abstract_canon_sha256":"3e08eae46fc1a9f6519d00c1b12d80f1525afcf7da3052879775656cfa968c1d"},"schema_version":"1.0"},"canonical_sha256":"c3b831fe8f9fa0ae64feb0804c16f4ed98984bf1c3f9f78a5349ae08512273a4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:07.371111Z","signature_b64":"5pobr84f7+tRO5WalTycUhb4YBnfumZ6J5Fcn737uneyecwJG8rPG7lYaxLu9vlnxQbyFuLKex9FNKltBfnyCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c3b831fe8f9fa0ae64feb0804c16f4ed98984bf1c3f9f78a5349ae08512273a4","last_reissued_at":"2026-05-18T02:32:07.370674Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:07.370674Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.4858","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":"2026-05-18T02:32:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZcHvAq0zLujedrDZgs5JcNvRRLMul/vLwym1RSN/5eXOAEhD2EnyX/TYqRx1gx27FgC0D8lk/fi2Z8uU0H1LAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T16:40:03.115763Z"},"content_sha256":"63bf5029343298ccf5dbebf0eac55685a1b63cb91da97ae1db9402f78a8e4be4","schema_version":"1.0","event_id":"sha256:63bf5029343298ccf5dbebf0eac55685a1b63cb91da97ae1db9402f78a8e4be4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:YO4DD7UPT6QK4ZH6WCAEYFXU5W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bootstrapping Mixed Correlators in the 3D Ising Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-lat"],"primary_cat":"hep-th","authors_text":"David Poland, David Simmons-Duffin, Filip Kos","submitted_at":"2014-06-18T20:00:00Z","abstract_excerpt":"We study the conformal bootstrap for systems of correlators involving non-identical operators. The constraints of crossing symmetry and unitarity for such mixed correlators can be phrased in the language of semidefinite programming. We apply this formalism to the simplest system of mixed correlators in 3D CFTs with a $\\mathbb{Z}_2$ global symmetry. For the leading $\\mathbb{Z}_2$-odd operator $\\sigma$ and $\\mathbb{Z}_2$-even operator $\\epsilon$, we obtain numerical constraints on the allowed dimensions $(\\Delta_\\sigma, \\Delta_\\epsilon)$ assuming that $\\sigma$ and $\\epsilon$ are the only relevan"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.4858","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":"2026-05-18T02:32:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pV0E0ioNePtxrQ+DZJT3cRedUvU63+ufx6yyboYHO1UfBii6I6n9Uw9v1NRkJi9t2iFlg3iilpmiue0cU3wjDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T16:40:03.116571Z"},"content_sha256":"c101481aebfbbce9884c1138e95bc3b1b5915f394fec1e0109f08e6358a41d1e","schema_version":"1.0","event_id":"sha256:c101481aebfbbce9884c1138e95bc3b1b5915f394fec1e0109f08e6358a41d1e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YO4DD7UPT6QK4ZH6WCAEYFXU5W/bundle.json","state_url":"https://pith.science/pith/YO4DD7UPT6QK4ZH6WCAEYFXU5W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YO4DD7UPT6QK4ZH6WCAEYFXU5W/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":"2026-06-11T16:40:03Z","links":{"resolver":"https://pith.science/pith/YO4DD7UPT6QK4ZH6WCAEYFXU5W","bundle":"https://pith.science/pith/YO4DD7UPT6QK4ZH6WCAEYFXU5W/bundle.json","state":"https://pith.science/pith/YO4DD7UPT6QK4ZH6WCAEYFXU5W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YO4DD7UPT6QK4ZH6WCAEYFXU5W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:YO4DD7UPT6QK4ZH6WCAEYFXU5W","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":"3e08eae46fc1a9f6519d00c1b12d80f1525afcf7da3052879775656cfa968c1d","cross_cats_sorted":["cond-mat.stat-mech","hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-18T20:00:00Z","title_canon_sha256":"fa0462b6207c944fb0c59ae16236d7b5fe34c413049825203660967098a89778"},"schema_version":"1.0","source":{"id":"1406.4858","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.4858","created_at":"2026-05-18T02:32:07Z"},{"alias_kind":"arxiv_version","alias_value":"1406.4858v1","created_at":"2026-05-18T02:32:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.4858","created_at":"2026-05-18T02:32:07Z"},{"alias_kind":"pith_short_12","alias_value":"YO4DD7UPT6QK","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YO4DD7UPT6QK4ZH6","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YO4DD7UP","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:c101481aebfbbce9884c1138e95bc3b1b5915f394fec1e0109f08e6358a41d1e","target":"graph","created_at":"2026-05-18T02:32:07Z","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 study the conformal bootstrap for systems of correlators involving non-identical operators. The constraints of crossing symmetry and unitarity for such mixed correlators can be phrased in the language of semidefinite programming. We apply this formalism to the simplest system of mixed correlators in 3D CFTs with a $\\mathbb{Z}_2$ global symmetry. For the leading $\\mathbb{Z}_2$-odd operator $\\sigma$ and $\\mathbb{Z}_2$-even operator $\\epsilon$, we obtain numerical constraints on the allowed dimensions $(\\Delta_\\sigma, \\Delta_\\epsilon)$ assuming that $\\sigma$ and $\\epsilon$ are the only relevan","authors_text":"David Poland, David Simmons-Duffin, Filip Kos","cross_cats":["cond-mat.stat-mech","hep-lat"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-18T20:00:00Z","title":"Bootstrapping Mixed Correlators in the 3D Ising Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.4858","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":"sha256:63bf5029343298ccf5dbebf0eac55685a1b63cb91da97ae1db9402f78a8e4be4","target":"record","created_at":"2026-05-18T02:32:07Z","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":"3e08eae46fc1a9f6519d00c1b12d80f1525afcf7da3052879775656cfa968c1d","cross_cats_sorted":["cond-mat.stat-mech","hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-18T20:00:00Z","title_canon_sha256":"fa0462b6207c944fb0c59ae16236d7b5fe34c413049825203660967098a89778"},"schema_version":"1.0","source":{"id":"1406.4858","kind":"arxiv","version":1}},"canonical_sha256":"c3b831fe8f9fa0ae64feb0804c16f4ed98984bf1c3f9f78a5349ae08512273a4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c3b831fe8f9fa0ae64feb0804c16f4ed98984bf1c3f9f78a5349ae08512273a4","first_computed_at":"2026-05-18T02:32:07.370674Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:07.370674Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5pobr84f7+tRO5WalTycUhb4YBnfumZ6J5Fcn737uneyecwJG8rPG7lYaxLu9vlnxQbyFuLKex9FNKltBfnyCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:07.371111Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.4858","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:63bf5029343298ccf5dbebf0eac55685a1b63cb91da97ae1db9402f78a8e4be4","sha256:c101481aebfbbce9884c1138e95bc3b1b5915f394fec1e0109f08e6358a41d1e"],"state_sha256":"a6dbd34d48cf2d246deaf7aac690f310a0a0c794643b7baa7a2a800771711f2b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MjXgST3U0orfW2c493DQIFQraEaOZzJLga5IUz4jSCxFYBO4+Dy5pwsfft+NiNGq8XlAPRqbuBk2Ihc2NnzCAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T16:40:03.120842Z","bundle_sha256":"d12519640c4dfe84166ffc5798236b602d9c3111c88b86c68035c889dcf5b5b7"}}