{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:BNSCN2MY5KLMTHSYVZ2LU3GHZT","short_pith_number":"pith:BNSCN2MY","canonical_record":{"source":{"id":"1305.1792","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-05-08T12:19:53Z","cross_cats_sorted":["cond-mat.mes-hall","hep-th","math.MP","quant-ph"],"title_canon_sha256":"c19364550e0fa66b858612ff861d22509ba7b670299256cd3b8541106f976623","abstract_canon_sha256":"1ea288460dd608043e2c53643d85a10b5bf9427ef40baa902c310c949870eb22"},"schema_version":"1.0"},"canonical_sha256":"0b6426e998ea96c99e58ae74ba6cc7cccb1d22706974e50c03e470ca5a629deb","source":{"kind":"arxiv","id":"1305.1792","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.1792","created_at":"2026-05-18T02:19:50Z"},{"alias_kind":"arxiv_version","alias_value":"1305.1792v3","created_at":"2026-05-18T02:19:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.1792","created_at":"2026-05-18T02:19:50Z"},{"alias_kind":"pith_short_12","alias_value":"BNSCN2MY5KLM","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"BNSCN2MY5KLMTHSY","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"BNSCN2MY","created_at":"2026-05-18T12:27:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:BNSCN2MY5KLMTHSYVZ2LU3GHZT","target":"record","payload":{"canonical_record":{"source":{"id":"1305.1792","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-05-08T12:19:53Z","cross_cats_sorted":["cond-mat.mes-hall","hep-th","math.MP","quant-ph"],"title_canon_sha256":"c19364550e0fa66b858612ff861d22509ba7b670299256cd3b8541106f976623","abstract_canon_sha256":"1ea288460dd608043e2c53643d85a10b5bf9427ef40baa902c310c949870eb22"},"schema_version":"1.0"},"canonical_sha256":"0b6426e998ea96c99e58ae74ba6cc7cccb1d22706974e50c03e470ca5a629deb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:19:50.894701Z","signature_b64":"UbvlJvz7bGidTfiPHImiGaWgZRuR20efHySGr5zEe2aVLl/pxPdNMBRQuZ4DDSQFoFuKwFNFvN9Fe+O8X9jeCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0b6426e998ea96c99e58ae74ba6cc7cccb1d22706974e50c03e470ca5a629deb","last_reissued_at":"2026-05-18T02:19:50.893971Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:19:50.893971Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.1792","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":"2026-05-18T02:19:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FbNimsxjOv54JrTXRut1NSQ5ttEdE0o8CbqAXwa62F0FkJVkm5cHr2Xm5PBmD8PKIfXV/PtPTV7NVxeLJ0J1Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T10:16:12.480659Z"},"content_sha256":"fdd537c2f16e179274e82d23e6dd1c278b91fa8beb7d9583fed8f99c06948e91","schema_version":"1.0","event_id":"sha256:fdd537c2f16e179274e82d23e6dd1c278b91fa8beb7d9583fed8f99c06948e91"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:BNSCN2MY5KLMTHSYVZ2LU3GHZT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reflection Positivity for Majoranas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","hep-th","math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Arthur Jaffe, Fabio L. Pedrocchi","submitted_at":"2013-05-08T12:19:53Z","abstract_excerpt":"We establish reflection positivity for Gibbs trace states defined by a certain class of Hamiltonians that describe the interaction of Majoranas on a lattice. These Hamiltonians may include many-body interactions, as long as the signs of the associated coupling constants satisfy certain restrictions. We show that reflection positivity holds on an even subalgebra of Majoranas."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.1792","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":""},"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":"2026-05-18T02:19:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lgGh2s5WQjwVddWjGPiA++geiwNU0LjYR+dfDwj7S5sXKJcyFKSWcLLk6OVLEi19OltFNUgc0yec1i403djRAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T10:16:12.481004Z"},"content_sha256":"f6c046aaa41e712ad150a5dcdc86d8dc73449bc306b45ec6725d86f31ee08dda","schema_version":"1.0","event_id":"sha256:f6c046aaa41e712ad150a5dcdc86d8dc73449bc306b45ec6725d86f31ee08dda"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BNSCN2MY5KLMTHSYVZ2LU3GHZT/bundle.json","state_url":"https://pith.science/pith/BNSCN2MY5KLMTHSYVZ2LU3GHZT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BNSCN2MY5KLMTHSYVZ2LU3GHZT/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":"2026-05-19T10:16:12Z","links":{"resolver":"https://pith.science/pith/BNSCN2MY5KLMTHSYVZ2LU3GHZT","bundle":"https://pith.science/pith/BNSCN2MY5KLMTHSYVZ2LU3GHZT/bundle.json","state":"https://pith.science/pith/BNSCN2MY5KLMTHSYVZ2LU3GHZT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BNSCN2MY5KLMTHSYVZ2LU3GHZT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:BNSCN2MY5KLMTHSYVZ2LU3GHZT","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":"1ea288460dd608043e2c53643d85a10b5bf9427ef40baa902c310c949870eb22","cross_cats_sorted":["cond-mat.mes-hall","hep-th","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-05-08T12:19:53Z","title_canon_sha256":"c19364550e0fa66b858612ff861d22509ba7b670299256cd3b8541106f976623"},"schema_version":"1.0","source":{"id":"1305.1792","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.1792","created_at":"2026-05-18T02:19:50Z"},{"alias_kind":"arxiv_version","alias_value":"1305.1792v3","created_at":"2026-05-18T02:19:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.1792","created_at":"2026-05-18T02:19:50Z"},{"alias_kind":"pith_short_12","alias_value":"BNSCN2MY5KLM","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"BNSCN2MY5KLMTHSY","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"BNSCN2MY","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:f6c046aaa41e712ad150a5dcdc86d8dc73449bc306b45ec6725d86f31ee08dda","target":"graph","created_at":"2026-05-18T02:19:50Z","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 establish reflection positivity for Gibbs trace states defined by a certain class of Hamiltonians that describe the interaction of Majoranas on a lattice. These Hamiltonians may include many-body interactions, as long as the signs of the associated coupling constants satisfy certain restrictions. We show that reflection positivity holds on an even subalgebra of Majoranas.","authors_text":"Arthur Jaffe, Fabio L. Pedrocchi","cross_cats":["cond-mat.mes-hall","hep-th","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-05-08T12:19:53Z","title":"Reflection Positivity for Majoranas"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.1792","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:fdd537c2f16e179274e82d23e6dd1c278b91fa8beb7d9583fed8f99c06948e91","target":"record","created_at":"2026-05-18T02:19:50Z","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":"1ea288460dd608043e2c53643d85a10b5bf9427ef40baa902c310c949870eb22","cross_cats_sorted":["cond-mat.mes-hall","hep-th","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-05-08T12:19:53Z","title_canon_sha256":"c19364550e0fa66b858612ff861d22509ba7b670299256cd3b8541106f976623"},"schema_version":"1.0","source":{"id":"1305.1792","kind":"arxiv","version":3}},"canonical_sha256":"0b6426e998ea96c99e58ae74ba6cc7cccb1d22706974e50c03e470ca5a629deb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0b6426e998ea96c99e58ae74ba6cc7cccb1d22706974e50c03e470ca5a629deb","first_computed_at":"2026-05-18T02:19:50.893971Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:19:50.893971Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UbvlJvz7bGidTfiPHImiGaWgZRuR20efHySGr5zEe2aVLl/pxPdNMBRQuZ4DDSQFoFuKwFNFvN9Fe+O8X9jeCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:19:50.894701Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.1792","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fdd537c2f16e179274e82d23e6dd1c278b91fa8beb7d9583fed8f99c06948e91","sha256:f6c046aaa41e712ad150a5dcdc86d8dc73449bc306b45ec6725d86f31ee08dda"],"state_sha256":"8cdd1a672c3bc7b5695ae4b69e3963b36f0d20c0257be805367963ea941a75ad"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mKtOZoBpweY+YBEiCizmxi+piqAHoQCM7eCu8q9VFzp+9D4MxyRnu03hh0ebZCdrPhvZ40osI9l2/36iUmGZDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T10:16:12.482647Z","bundle_sha256":"b6f5071f9014ca739fa2d48dfa5bed4785a6171e61796fd1efd4d8c853d4cd77"}}