{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1998:EMGXXI3UW3BBZYT7HERDBAQHL7","short_pith_number":"pith:EMGXXI3U","canonical_record":{"source":{"id":"hep-th/9807044","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1998-07-06T23:09:00Z","cross_cats_sorted":[],"title_canon_sha256":"14e733b0073401a2e4ce47a0c5a34738e65a1b8650a9ab9b648e9c108a8865b8","abstract_canon_sha256":"b47f6424f246abad2080ccd4af11b1d21dc1e84f7758615ac2ede850356ee454"},"schema_version":"1.0"},"canonical_sha256":"230d7ba374b6c21ce27f39223082075fc293c2f0ce43a5b8e9a7ea274f711f37","source":{"kind":"arxiv","id":"hep-th/9807044","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9807044","created_at":"2026-07-04T16:09:51Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9807044v1","created_at":"2026-07-04T16:09:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9807044","created_at":"2026-07-04T16:09:51Z"},{"alias_kind":"pith_short_12","alias_value":"EMGXXI3UW3BB","created_at":"2026-07-04T16:09:51Z"},{"alias_kind":"pith_short_16","alias_value":"EMGXXI3UW3BBZYT7","created_at":"2026-07-04T16:09:51Z"},{"alias_kind":"pith_short_8","alias_value":"EMGXXI3U","created_at":"2026-07-04T16:09:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1998:EMGXXI3UW3BBZYT7HERDBAQHL7","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9807044","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1998-07-06T23:09:00Z","cross_cats_sorted":[],"title_canon_sha256":"14e733b0073401a2e4ce47a0c5a34738e65a1b8650a9ab9b648e9c108a8865b8","abstract_canon_sha256":"b47f6424f246abad2080ccd4af11b1d21dc1e84f7758615ac2ede850356ee454"},"schema_version":"1.0"},"canonical_sha256":"230d7ba374b6c21ce27f39223082075fc293c2f0ce43a5b8e9a7ea274f711f37","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:09:51.235669Z","signature_b64":"NlL95sPKOjj7tdM0HE3jEI5FLJT7hlLk6UFVItIE3d2lw1WBxEm2WDzqIJymohvrW/kWuE7M6boDXUgwrTOxDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"230d7ba374b6c21ce27f39223082075fc293c2f0ce43a5b8e9a7ea274f711f37","last_reissued_at":"2026-07-04T16:09:51.235311Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:09:51.235311Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9807044","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":"2026-07-04T16:09:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/to+PHLKfu4yb1Ko+Ts7vpHOfR6T6lpEZEptwy8LNagAjf/xOHEQkWHFRqjgrSrJVlmjFApkOEpqgp0sCVHMDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T19:15:27.686472Z"},"content_sha256":"579045cbd95a1316e38eb1400ba0290a0bfd7c167ff792bbb989ddd9953ff930","schema_version":"1.0","event_id":"sha256:579045cbd95a1316e38eb1400ba0290a0bfd7c167ff792bbb989ddd9953ff930"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1998:EMGXXI3UW3BBZYT7HERDBAQHL7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dimensional Reduction","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Corinne A. Manogue, Tevian Dray","submitted_at":"1998-07-06T23:09:00Z","abstract_excerpt":"Using an octonionic formalism, we introduce a new mechanism for reducing 10 spacetime dimensions to 4 without compactification. Applying this mechanism to the free, 10-dimensional, massless (momentum space) Dirac equation results in a particle spectrum consisting of exactly 3 generations. Each generation contains 1 massive spin-1/2 particle with 2 spin states, 1 massless spin-1/2 particle with only 1 helicity state, and their antiparticles --- precisely one generation of leptons. There is also a single massless spin-1/2 particle/antiparticle pair with the opposite helicity and no generation st"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9807044","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/hep-th/9807044/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":"2026-07-04T16:09:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4DnAmJN85zkBNOg1h7coCfQoeypRgeJgF3d/1Jyc0AwHTH2ZQ9i7RPniy82ydLVFt6shulN6ynQr0JdUjKXYAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T19:15:27.686807Z"},"content_sha256":"2c9c0e1f206126f16f4c45f09959a7ff04d59bb5aeb1a7f2e121d58f67e5c2f5","schema_version":"1.0","event_id":"sha256:2c9c0e1f206126f16f4c45f09959a7ff04d59bb5aeb1a7f2e121d58f67e5c2f5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EMGXXI3UW3BBZYT7HERDBAQHL7/bundle.json","state_url":"https://pith.science/pith/EMGXXI3UW3BBZYT7HERDBAQHL7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EMGXXI3UW3BBZYT7HERDBAQHL7/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":"2026-08-20T19:15:27Z","links":{"resolver":"https://pith.science/pith/EMGXXI3UW3BBZYT7HERDBAQHL7","bundle":"https://pith.science/pith/EMGXXI3UW3BBZYT7HERDBAQHL7/bundle.json","state":"https://pith.science/pith/EMGXXI3UW3BBZYT7HERDBAQHL7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EMGXXI3UW3BBZYT7HERDBAQHL7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:EMGXXI3UW3BBZYT7HERDBAQHL7","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":"b47f6424f246abad2080ccd4af11b1d21dc1e84f7758615ac2ede850356ee454","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1998-07-06T23:09:00Z","title_canon_sha256":"14e733b0073401a2e4ce47a0c5a34738e65a1b8650a9ab9b648e9c108a8865b8"},"schema_version":"1.0","source":{"id":"hep-th/9807044","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9807044","created_at":"2026-07-04T16:09:51Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9807044v1","created_at":"2026-07-04T16:09:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9807044","created_at":"2026-07-04T16:09:51Z"},{"alias_kind":"pith_short_12","alias_value":"EMGXXI3UW3BB","created_at":"2026-07-04T16:09:51Z"},{"alias_kind":"pith_short_16","alias_value":"EMGXXI3UW3BBZYT7","created_at":"2026-07-04T16:09:51Z"},{"alias_kind":"pith_short_8","alias_value":"EMGXXI3U","created_at":"2026-07-04T16:09:51Z"}],"graph_snapshots":[{"event_id":"sha256:2c9c0e1f206126f16f4c45f09959a7ff04d59bb5aeb1a7f2e121d58f67e5c2f5","target":"graph","created_at":"2026-07-04T16:09:51Z","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/hep-th/9807044/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Using an octonionic formalism, we introduce a new mechanism for reducing 10 spacetime dimensions to 4 without compactification. Applying this mechanism to the free, 10-dimensional, massless (momentum space) Dirac equation results in a particle spectrum consisting of exactly 3 generations. Each generation contains 1 massive spin-1/2 particle with 2 spin states, 1 massless spin-1/2 particle with only 1 helicity state, and their antiparticles --- precisely one generation of leptons. There is also a single massless spin-1/2 particle/antiparticle pair with the opposite helicity and no generation st","authors_text":"Corinne A. Manogue, Tevian Dray","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1998-07-06T23:09:00Z","title":"Dimensional Reduction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9807044","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":"sha256:579045cbd95a1316e38eb1400ba0290a0bfd7c167ff792bbb989ddd9953ff930","target":"record","created_at":"2026-07-04T16:09:51Z","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":"b47f6424f246abad2080ccd4af11b1d21dc1e84f7758615ac2ede850356ee454","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1998-07-06T23:09:00Z","title_canon_sha256":"14e733b0073401a2e4ce47a0c5a34738e65a1b8650a9ab9b648e9c108a8865b8"},"schema_version":"1.0","source":{"id":"hep-th/9807044","kind":"arxiv","version":1}},"canonical_sha256":"230d7ba374b6c21ce27f39223082075fc293c2f0ce43a5b8e9a7ea274f711f37","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"230d7ba374b6c21ce27f39223082075fc293c2f0ce43a5b8e9a7ea274f711f37","first_computed_at":"2026-07-04T16:09:51.235311Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:09:51.235311Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NlL95sPKOjj7tdM0HE3jEI5FLJT7hlLk6UFVItIE3d2lw1WBxEm2WDzqIJymohvrW/kWuE7M6boDXUgwrTOxDQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:09:51.235669Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9807044","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:579045cbd95a1316e38eb1400ba0290a0bfd7c167ff792bbb989ddd9953ff930","sha256:2c9c0e1f206126f16f4c45f09959a7ff04d59bb5aeb1a7f2e121d58f67e5c2f5"],"state_sha256":"3b0ce4ce0387f671d2d1f3d009f6100423072f4ec0ab45e897f6c04e0cc3393e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tLL7RhMLvmkq7WHE77bZWEa/kjpRBttHID0uzRt+kbuCyV1bA8mdBlFhxMCBtHMusl8CiD52ZFeRHYjm08W1CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T19:15:27.690560Z","bundle_sha256":"ba1627d6876e7f24a354fd3ef5adbee04f11ef1c4b3c3e1f3e0e10eb0b1d7425"}}