{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:YVOHFP6CMDVSTK77WSD6LGBCL6","short_pith_number":"pith:YVOHFP6C","canonical_record":{"source":{"id":"1906.07199","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-06-17T18:00:12Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"e465969becee6d6fd4b56e6a746e51e682ca8be7b47252adaae1e221b1d00b35","abstract_canon_sha256":"2aef44a4dcd5df52cf43aeb12a8c1c98c5b42422f8aa15c8b88319425b42f567"},"schema_version":"1.0"},"canonical_sha256":"c55c72bfc260eb29abffb487e598225fbb65156a14fffd958c98546377f4a65a","source":{"kind":"arxiv","id":"1906.07199","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.07199","created_at":"2026-07-05T00:51:28Z"},{"alias_kind":"arxiv_version","alias_value":"1906.07199v2","created_at":"2026-07-05T00:51:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.07199","created_at":"2026-07-05T00:51:28Z"},{"alias_kind":"pith_short_12","alias_value":"YVOHFP6CMDVS","created_at":"2026-07-05T00:51:28Z"},{"alias_kind":"pith_short_16","alias_value":"YVOHFP6CMDVSTK77","created_at":"2026-07-05T00:51:28Z"},{"alias_kind":"pith_short_8","alias_value":"YVOHFP6C","created_at":"2026-07-05T00:51:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:YVOHFP6CMDVSTK77WSD6LGBCL6","target":"record","payload":{"canonical_record":{"source":{"id":"1906.07199","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-06-17T18:00:12Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"e465969becee6d6fd4b56e6a746e51e682ca8be7b47252adaae1e221b1d00b35","abstract_canon_sha256":"2aef44a4dcd5df52cf43aeb12a8c1c98c5b42422f8aa15c8b88319425b42f567"},"schema_version":"1.0"},"canonical_sha256":"c55c72bfc260eb29abffb487e598225fbb65156a14fffd958c98546377f4a65a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:51:28.985697Z","signature_b64":"G7C13hlF4Y5GDQIdkiYkUI5q5B9NHQG/ls3leABAT68052QJ/bKR7lLGoXiv6b4DRj57OfUvAS1VFWNKSIgeBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c55c72bfc260eb29abffb487e598225fbb65156a14fffd958c98546377f4a65a","last_reissued_at":"2026-07-05T00:51:28.985230Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:51:28.985230Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1906.07199","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:51:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qYZXPj/Gtno7h68y6IxuUO0q7e1Os5+yi4klaFobmoutb97y7wC1ISH/ruawpjb+x1CZSFCw9ebYVmmX4/PUAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T22:10:32.986245Z"},"content_sha256":"84fdac7f411815f4a90cf0510b16eb31b7116a8c5d451186ea12884a88bd6e8d","schema_version":"1.0","event_id":"sha256:84fdac7f411815f4a90cf0510b16eb31b7116a8c5d451186ea12884a88bd6e8d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:YVOHFP6CMDVSTK77WSD6LGBCL6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Notes on 8 Majorana Fermions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"hep-th","authors_text":"Carl Turner, David Tong","submitted_at":"2019-06-17T18:00:12Z","abstract_excerpt":"Eight Majorana fermions in $d=1+1$ dimensions enjoy a triality that permutes the representation of the $SO(8)$ global symmetry in which the fermions transform. This triality plays an important role in the quantization of the superstring, and in the analysis of interacting topological insulators and the associated phenomenon of symmetric mass generation. The purpose of these notes is to provide an introduction to the triality and its applications, with careful attention paid to various ${\\bf Z}_2$ global and gauge symmetries and their coupling to background spin structures."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.07199","kind":"arxiv","version":2},"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/1906.07199/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":"2026-07-05T00:51:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5vlWmbzc339d5/06o/Cvf+gG9AFp4LIl188tHCrwiCvHVsEgAe9AFYiIhShxxEUuSGtvawfLFW5Dxa38hSFmDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T22:10:32.986755Z"},"content_sha256":"c68959b4ff192e943f2aa693e7bc023086549ec2fa877256b34b509d90e210a0","schema_version":"1.0","event_id":"sha256:c68959b4ff192e943f2aa693e7bc023086549ec2fa877256b34b509d90e210a0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YVOHFP6CMDVSTK77WSD6LGBCL6/bundle.json","state_url":"https://pith.science/pith/YVOHFP6CMDVSTK77WSD6LGBCL6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YVOHFP6CMDVSTK77WSD6LGBCL6/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":"2026-08-11T22:10:32Z","links":{"resolver":"https://pith.science/pith/YVOHFP6CMDVSTK77WSD6LGBCL6","bundle":"https://pith.science/pith/YVOHFP6CMDVSTK77WSD6LGBCL6/bundle.json","state":"https://pith.science/pith/YVOHFP6CMDVSTK77WSD6LGBCL6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YVOHFP6CMDVSTK77WSD6LGBCL6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:YVOHFP6CMDVSTK77WSD6LGBCL6","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":"2aef44a4dcd5df52cf43aeb12a8c1c98c5b42422f8aa15c8b88319425b42f567","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-06-17T18:00:12Z","title_canon_sha256":"e465969becee6d6fd4b56e6a746e51e682ca8be7b47252adaae1e221b1d00b35"},"schema_version":"1.0","source":{"id":"1906.07199","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.07199","created_at":"2026-07-05T00:51:28Z"},{"alias_kind":"arxiv_version","alias_value":"1906.07199v2","created_at":"2026-07-05T00:51:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.07199","created_at":"2026-07-05T00:51:28Z"},{"alias_kind":"pith_short_12","alias_value":"YVOHFP6CMDVS","created_at":"2026-07-05T00:51:28Z"},{"alias_kind":"pith_short_16","alias_value":"YVOHFP6CMDVSTK77","created_at":"2026-07-05T00:51:28Z"},{"alias_kind":"pith_short_8","alias_value":"YVOHFP6C","created_at":"2026-07-05T00:51:28Z"}],"graph_snapshots":[{"event_id":"sha256:c68959b4ff192e943f2aa693e7bc023086549ec2fa877256b34b509d90e210a0","target":"graph","created_at":"2026-07-05T00:51:28Z","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/1906.07199/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Eight Majorana fermions in $d=1+1$ dimensions enjoy a triality that permutes the representation of the $SO(8)$ global symmetry in which the fermions transform. This triality plays an important role in the quantization of the superstring, and in the analysis of interacting topological insulators and the associated phenomenon of symmetric mass generation. The purpose of these notes is to provide an introduction to the triality and its applications, with careful attention paid to various ${\\bf Z}_2$ global and gauge symmetries and their coupling to background spin structures.","authors_text":"Carl Turner, David Tong","cross_cats":["cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-06-17T18:00:12Z","title":"Notes on 8 Majorana Fermions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.07199","kind":"arxiv","version":2},"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":"sha256:84fdac7f411815f4a90cf0510b16eb31b7116a8c5d451186ea12884a88bd6e8d","target":"record","created_at":"2026-07-05T00:51:28Z","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":"2aef44a4dcd5df52cf43aeb12a8c1c98c5b42422f8aa15c8b88319425b42f567","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-06-17T18:00:12Z","title_canon_sha256":"e465969becee6d6fd4b56e6a746e51e682ca8be7b47252adaae1e221b1d00b35"},"schema_version":"1.0","source":{"id":"1906.07199","kind":"arxiv","version":2}},"canonical_sha256":"c55c72bfc260eb29abffb487e598225fbb65156a14fffd958c98546377f4a65a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c55c72bfc260eb29abffb487e598225fbb65156a14fffd958c98546377f4a65a","first_computed_at":"2026-07-05T00:51:28.985230Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:51:28.985230Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G7C13hlF4Y5GDQIdkiYkUI5q5B9NHQG/ls3leABAT68052QJ/bKR7lLGoXiv6b4DRj57OfUvAS1VFWNKSIgeBA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:51:28.985697Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.07199","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:84fdac7f411815f4a90cf0510b16eb31b7116a8c5d451186ea12884a88bd6e8d","sha256:c68959b4ff192e943f2aa693e7bc023086549ec2fa877256b34b509d90e210a0"],"state_sha256":"746e5e1949e3479a16bdbaaf15e6f8e292eabc4e1414e3d03893005a4bbe0dd0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HxHtpy/xrXLmrzOn51Z9cMJp5IAtZXO+2nGaMhL0YdQqgzf5N1+bv9/mET3Nq0h1lwzd2VKJe0T56Izpj4caCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T22:10:32.993782Z","bundle_sha256":"c41809fef6411f5e69ba45af53aacf215cc8f04649f985fa90ac341310377207"}}