{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:5NX7NQXTVUQTNBUN52XOCOSNPH","short_pith_number":"pith:5NX7NQXT","canonical_record":{"source":{"id":"0909.5682","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-09-30T18:03:00Z","cross_cats_sorted":[],"title_canon_sha256":"c70d7640e25e7654dd99228a2ea3ddc76e5ccf26d5ccc6527e21bb3aadcc29f0","abstract_canon_sha256":"d286db488922b90d0d6d33d348ffadd650c075dbef537e1e248b71e688f628a7"},"schema_version":"1.0"},"canonical_sha256":"eb6ff6c2f3ad2136868deeaee13a4d79e98afd317cbb671a2a23c3b648e60b2c","source":{"kind":"arxiv","id":"0909.5682","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0909.5682","created_at":"2026-05-18T04:33:27Z"},{"alias_kind":"arxiv_version","alias_value":"0909.5682v2","created_at":"2026-05-18T04:33:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.5682","created_at":"2026-05-18T04:33:27Z"},{"alias_kind":"pith_short_12","alias_value":"5NX7NQXTVUQT","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"5NX7NQXTVUQTNBUN","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"5NX7NQXT","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:5NX7NQXTVUQTNBUN52XOCOSNPH","target":"record","payload":{"canonical_record":{"source":{"id":"0909.5682","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-09-30T18:03:00Z","cross_cats_sorted":[],"title_canon_sha256":"c70d7640e25e7654dd99228a2ea3ddc76e5ccf26d5ccc6527e21bb3aadcc29f0","abstract_canon_sha256":"d286db488922b90d0d6d33d348ffadd650c075dbef537e1e248b71e688f628a7"},"schema_version":"1.0"},"canonical_sha256":"eb6ff6c2f3ad2136868deeaee13a4d79e98afd317cbb671a2a23c3b648e60b2c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:33:27.276476Z","signature_b64":"dLyZmfyZGVmz2nzAYuuxCImNk6gVthEgTBbChkZkMz7ZLzXygHq2QSZQczl0NV208xLEXqN6p5kW/6y0nB6JDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb6ff6c2f3ad2136868deeaee13a4d79e98afd317cbb671a2a23c3b648e60b2c","last_reissued_at":"2026-05-18T04:33:27.276025Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:33:27.276025Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0909.5682","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":"2026-05-18T04:33:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U1+zfbUJtgs9MBYpXxQ+ECOWfZXCAJtngQPx+pIz83MsUwqhNJ3zZQRxFYZ7QzbdlfKTB3veUdIqYDEYixi5Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T08:12:01.826716Z"},"content_sha256":"8ac097dada8bc1408575e792e1e5b51993976e2f8b600aa0dbfb95c1ce327f59","schema_version":"1.0","event_id":"sha256:8ac097dada8bc1408575e792e1e5b51993976e2f8b600aa0dbfb95c1ce327f59"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:5NX7NQXTVUQTNBUN52XOCOSNPH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Three Generations on the Quintic Quotient","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Volker Braun","submitted_at":"2009-09-30T18:03:00Z","abstract_excerpt":"A three-generation SU(5) GUT, that is 3x(10+5bar) and a single 5-5bar pair, is constructed by compactification of the E_8 heterotic string. The base manifold is the Z_5 x Z_5-quotient of the quintic, and the vector bundle is the quotient of a positive monad. The group action on the monad and its bundle-valued cohomology is discussed in detail, including topological restrictions on the existence of equivariant structures. This model and a single Z_5 quotient are the complete list of three generation quotients of positive monads on the quintic."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.5682","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":"2026-05-18T04:33:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eIE51PEZ7Sp7AWilmZ27XYjhfWCsDz6FmqXRziNzVyY0ykinXGj8pw7cyt2u3NF5Auj7gCEasaTVRZE+iS4gDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T08:12:01.827468Z"},"content_sha256":"bcba6a1b705dd1a3a38fb243d593ec993108286ddfe60ed48cb224b862de0575","schema_version":"1.0","event_id":"sha256:bcba6a1b705dd1a3a38fb243d593ec993108286ddfe60ed48cb224b862de0575"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5NX7NQXTVUQTNBUN52XOCOSNPH/bundle.json","state_url":"https://pith.science/pith/5NX7NQXTVUQTNBUN52XOCOSNPH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5NX7NQXTVUQTNBUN52XOCOSNPH/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":"2026-05-27T08:12:01Z","links":{"resolver":"https://pith.science/pith/5NX7NQXTVUQTNBUN52XOCOSNPH","bundle":"https://pith.science/pith/5NX7NQXTVUQTNBUN52XOCOSNPH/bundle.json","state":"https://pith.science/pith/5NX7NQXTVUQTNBUN52XOCOSNPH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5NX7NQXTVUQTNBUN52XOCOSNPH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:5NX7NQXTVUQTNBUN52XOCOSNPH","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":"d286db488922b90d0d6d33d348ffadd650c075dbef537e1e248b71e688f628a7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-09-30T18:03:00Z","title_canon_sha256":"c70d7640e25e7654dd99228a2ea3ddc76e5ccf26d5ccc6527e21bb3aadcc29f0"},"schema_version":"1.0","source":{"id":"0909.5682","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0909.5682","created_at":"2026-05-18T04:33:27Z"},{"alias_kind":"arxiv_version","alias_value":"0909.5682v2","created_at":"2026-05-18T04:33:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.5682","created_at":"2026-05-18T04:33:27Z"},{"alias_kind":"pith_short_12","alias_value":"5NX7NQXTVUQT","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"5NX7NQXTVUQTNBUN","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"5NX7NQXT","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:bcba6a1b705dd1a3a38fb243d593ec993108286ddfe60ed48cb224b862de0575","target":"graph","created_at":"2026-05-18T04:33:27Z","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":"A three-generation SU(5) GUT, that is 3x(10+5bar) and a single 5-5bar pair, is constructed by compactification of the E_8 heterotic string. The base manifold is the Z_5 x Z_5-quotient of the quintic, and the vector bundle is the quotient of a positive monad. The group action on the monad and its bundle-valued cohomology is discussed in detail, including topological restrictions on the existence of equivariant structures. This model and a single Z_5 quotient are the complete list of three generation quotients of positive monads on the quintic.","authors_text":"Volker Braun","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-09-30T18:03:00Z","title":"Three Generations on the Quintic Quotient"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.5682","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":"sha256:8ac097dada8bc1408575e792e1e5b51993976e2f8b600aa0dbfb95c1ce327f59","target":"record","created_at":"2026-05-18T04:33:27Z","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":"d286db488922b90d0d6d33d348ffadd650c075dbef537e1e248b71e688f628a7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-09-30T18:03:00Z","title_canon_sha256":"c70d7640e25e7654dd99228a2ea3ddc76e5ccf26d5ccc6527e21bb3aadcc29f0"},"schema_version":"1.0","source":{"id":"0909.5682","kind":"arxiv","version":2}},"canonical_sha256":"eb6ff6c2f3ad2136868deeaee13a4d79e98afd317cbb671a2a23c3b648e60b2c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eb6ff6c2f3ad2136868deeaee13a4d79e98afd317cbb671a2a23c3b648e60b2c","first_computed_at":"2026-05-18T04:33:27.276025Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:33:27.276025Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dLyZmfyZGVmz2nzAYuuxCImNk6gVthEgTBbChkZkMz7ZLzXygHq2QSZQczl0NV208xLEXqN6p5kW/6y0nB6JDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:33:27.276476Z","signed_message":"canonical_sha256_bytes"},"source_id":"0909.5682","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ac097dada8bc1408575e792e1e5b51993976e2f8b600aa0dbfb95c1ce327f59","sha256:bcba6a1b705dd1a3a38fb243d593ec993108286ddfe60ed48cb224b862de0575"],"state_sha256":"4aeaf0c902bea6ba7e491c5ffddb3dcc186e775e3c1e05867e9f6f44a9521e2d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oJ8KOl5Iiaz9NdovSVMZRKrofC7N6pCFQ/AChMZ+lrDiH/CvwaD15nG0T9L13qC/SNglF0Q5sFX4RJe/PnM2Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T08:12:01.830739Z","bundle_sha256":"aa0eeeee32024f70e4c7b39fb22f5c8a50534fb92cca0d8e548fe887759086b3"}}