{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:TYYED7QI55ZWFIJBDYKGX56KU2","short_pith_number":"pith:TYYED7QI","canonical_record":{"source":{"id":"1409.5421","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-09-18T19:43:19Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"d3bdcb3187ac12315e51f2cabd54922652dcf81a4f0a0ed31eebb68c1b57e88c","abstract_canon_sha256":"04b6a1c6f01a2852104f2314c3fbaae9e51f460bfcef26b189abbddd87324f83"},"schema_version":"1.0"},"canonical_sha256":"9e3041fe08ef7362a1211e146bf7caa68d183811b82546cc42ec2a5e1595745d","source":{"kind":"arxiv","id":"1409.5421","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.5421","created_at":"2026-05-18T02:30:33Z"},{"alias_kind":"arxiv_version","alias_value":"1409.5421v2","created_at":"2026-05-18T02:30:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.5421","created_at":"2026-05-18T02:30:33Z"},{"alias_kind":"pith_short_12","alias_value":"TYYED7QI55ZW","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"TYYED7QI55ZWFIJB","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"TYYED7QI","created_at":"2026-05-18T12:28:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:TYYED7QI55ZWFIJBDYKGX56KU2","target":"record","payload":{"canonical_record":{"source":{"id":"1409.5421","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-09-18T19:43:19Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"d3bdcb3187ac12315e51f2cabd54922652dcf81a4f0a0ed31eebb68c1b57e88c","abstract_canon_sha256":"04b6a1c6f01a2852104f2314c3fbaae9e51f460bfcef26b189abbddd87324f83"},"schema_version":"1.0"},"canonical_sha256":"9e3041fe08ef7362a1211e146bf7caa68d183811b82546cc42ec2a5e1595745d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:30:33.699779Z","signature_b64":"NA1JwfTosVtAv3it0Chndezrs+A8Iho2pahSLD0eBf7J0t7hlVL4fi+HDj3gtFKjqQnOiIhoENCrumV7+ZDCAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9e3041fe08ef7362a1211e146bf7caa68d183811b82546cc42ec2a5e1595745d","last_reissued_at":"2026-05-18T02:30:33.699351Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:30:33.699351Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.5421","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":"2026-05-18T02:30:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ckfWYhO+l5/MkAOsPKF2ouSfRDCj/hih0ohuZA85FJqKvOg2uVln7m5yMj++TK5XU9qAFEzP0WswlxMUf7iDBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T14:10:24.032773Z"},"content_sha256":"7af66d252c610c3c7bf15de4fe0a6a041c5c233999ba3d3c30270d15192e7b13","schema_version":"1.0","event_id":"sha256:7af66d252c610c3c7bf15de4fe0a6a041c5c233999ba3d3c30270d15192e7b13"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:TYYED7QI55ZWFIJBDYKGX56KU2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Operator analysis of physical states on magnetized $T^{2}/Z_{N}$ orbifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Kenji Nishiwaki, Makoto Sakamoto, Takashi Miura, Tatsuo Kobayashi, Tomo-hiro Abe, Yukihiro Fujimoto","submitted_at":"2014-09-18T19:43:19Z","abstract_excerpt":"We discuss an effective way for analyzing the system on the magnetized twisted orbifolds in operator formalism, especially in the complicated cases $T^{2}/Z_{3}$, $T^{2}/Z_{4}$ and $T^{2}/Z_{6}$. We can obtain the exact and analytical results which can be applicable for any larger values of the quantized magnetic flux M, and show that the (non-diagonalized) kinetic terms are generated via our formalism and the number of the surviving physical states are calculable in a rigorous manner by simply following usual procedures in linear algebra in any case. Our approach is very powerful when we try "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.5421","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":""},"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":"2026-05-18T02:30:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ysYfoIwj4ODm5vq3uyQusfbHp2vk+q8Pl+n8eGW8ZrPpkFgOdblgfSJwB1Lws98Dya9c847DCAa5+24f8jjXBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T14:10:24.033118Z"},"content_sha256":"3f5699ad70f1791bb7c164432c19cc66024d9162c49b0a83e9f713f4aec7465b","schema_version":"1.0","event_id":"sha256:3f5699ad70f1791bb7c164432c19cc66024d9162c49b0a83e9f713f4aec7465b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TYYED7QI55ZWFIJBDYKGX56KU2/bundle.json","state_url":"https://pith.science/pith/TYYED7QI55ZWFIJBDYKGX56KU2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TYYED7QI55ZWFIJBDYKGX56KU2/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":"2026-06-03T14:10:24Z","links":{"resolver":"https://pith.science/pith/TYYED7QI55ZWFIJBDYKGX56KU2","bundle":"https://pith.science/pith/TYYED7QI55ZWFIJBDYKGX56KU2/bundle.json","state":"https://pith.science/pith/TYYED7QI55ZWFIJBDYKGX56KU2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TYYED7QI55ZWFIJBDYKGX56KU2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:TYYED7QI55ZWFIJBDYKGX56KU2","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":"04b6a1c6f01a2852104f2314c3fbaae9e51f460bfcef26b189abbddd87324f83","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-09-18T19:43:19Z","title_canon_sha256":"d3bdcb3187ac12315e51f2cabd54922652dcf81a4f0a0ed31eebb68c1b57e88c"},"schema_version":"1.0","source":{"id":"1409.5421","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.5421","created_at":"2026-05-18T02:30:33Z"},{"alias_kind":"arxiv_version","alias_value":"1409.5421v2","created_at":"2026-05-18T02:30:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.5421","created_at":"2026-05-18T02:30:33Z"},{"alias_kind":"pith_short_12","alias_value":"TYYED7QI55ZW","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"TYYED7QI55ZWFIJB","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"TYYED7QI","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:3f5699ad70f1791bb7c164432c19cc66024d9162c49b0a83e9f713f4aec7465b","target":"graph","created_at":"2026-05-18T02:30:33Z","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 discuss an effective way for analyzing the system on the magnetized twisted orbifolds in operator formalism, especially in the complicated cases $T^{2}/Z_{3}$, $T^{2}/Z_{4}$ and $T^{2}/Z_{6}$. We can obtain the exact and analytical results which can be applicable for any larger values of the quantized magnetic flux M, and show that the (non-diagonalized) kinetic terms are generated via our formalism and the number of the surviving physical states are calculable in a rigorous manner by simply following usual procedures in linear algebra in any case. Our approach is very powerful when we try ","authors_text":"Kenji Nishiwaki, Makoto Sakamoto, Takashi Miura, Tatsuo Kobayashi, Tomo-hiro Abe, Yukihiro Fujimoto","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-09-18T19:43:19Z","title":"Operator analysis of physical states on magnetized $T^{2}/Z_{N}$ orbifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.5421","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":"sha256:7af66d252c610c3c7bf15de4fe0a6a041c5c233999ba3d3c30270d15192e7b13","target":"record","created_at":"2026-05-18T02:30:33Z","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":"04b6a1c6f01a2852104f2314c3fbaae9e51f460bfcef26b189abbddd87324f83","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-09-18T19:43:19Z","title_canon_sha256":"d3bdcb3187ac12315e51f2cabd54922652dcf81a4f0a0ed31eebb68c1b57e88c"},"schema_version":"1.0","source":{"id":"1409.5421","kind":"arxiv","version":2}},"canonical_sha256":"9e3041fe08ef7362a1211e146bf7caa68d183811b82546cc42ec2a5e1595745d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9e3041fe08ef7362a1211e146bf7caa68d183811b82546cc42ec2a5e1595745d","first_computed_at":"2026-05-18T02:30:33.699351Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:30:33.699351Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NA1JwfTosVtAv3it0Chndezrs+A8Iho2pahSLD0eBf7J0t7hlVL4fi+HDj3gtFKjqQnOiIhoENCrumV7+ZDCAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:30:33.699779Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.5421","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7af66d252c610c3c7bf15de4fe0a6a041c5c233999ba3d3c30270d15192e7b13","sha256:3f5699ad70f1791bb7c164432c19cc66024d9162c49b0a83e9f713f4aec7465b"],"state_sha256":"8447bc3b6c39e3df7ca3e9ac70a5af6a08e330f2c0770742b12b7b0ef0f2188d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1FaSqG56m6faLGMjQdDbdk7hIVPoIqulbSi7oumfCeBm/VOeLyR133h0yjjTJf96CtRE53860yASZ5kEytcjBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T14:10:24.035041Z","bundle_sha256":"818584d1b2ed42aa0b506191d6009a10d02640b51d71e3983858a2c9957982dc"}}