{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:KX7MYYG26LFRP2VY2LNGCU4N4Q","short_pith_number":"pith:KX7MYYG2","canonical_record":{"source":{"id":"1507.05965","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-07-21T20:00:43Z","cross_cats_sorted":[],"title_canon_sha256":"f68e15939f71b72f0889b50767f38d6fe1f5bf6b9ad14e19e9f936723591a69c","abstract_canon_sha256":"685b27adc6b23a038b2a941a4faf2f77beb56a4fa299afeb36d1b45add3b95ee"},"schema_version":"1.0"},"canonical_sha256":"55fecc60daf2cb17eab8d2da61538de437cecfac633e29de1f2b6b078e187fc5","source":{"kind":"arxiv","id":"1507.05965","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.05965","created_at":"2026-05-18T01:15:44Z"},{"alias_kind":"arxiv_version","alias_value":"1507.05965v3","created_at":"2026-05-18T01:15:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.05965","created_at":"2026-05-18T01:15:44Z"},{"alias_kind":"pith_short_12","alias_value":"KX7MYYG26LFR","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"KX7MYYG26LFRP2VY","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"KX7MYYG2","created_at":"2026-05-18T12:29:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:KX7MYYG26LFRP2VY2LNGCU4N4Q","target":"record","payload":{"canonical_record":{"source":{"id":"1507.05965","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-07-21T20:00:43Z","cross_cats_sorted":[],"title_canon_sha256":"f68e15939f71b72f0889b50767f38d6fe1f5bf6b9ad14e19e9f936723591a69c","abstract_canon_sha256":"685b27adc6b23a038b2a941a4faf2f77beb56a4fa299afeb36d1b45add3b95ee"},"schema_version":"1.0"},"canonical_sha256":"55fecc60daf2cb17eab8d2da61538de437cecfac633e29de1f2b6b078e187fc5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:44.979406Z","signature_b64":"zNHo9znPN6b/1Ked6s4b2CEqLiNKQxAWjShGn+Wsk5kj0LVbXtcWkLHf3zFFm2Jlx6vJDvRpDdPoHJwdfEvICQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"55fecc60daf2cb17eab8d2da61538de437cecfac633e29de1f2b6b078e187fc5","last_reissued_at":"2026-05-18T01:15:44.978991Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:44.978991Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1507.05965","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":"2026-05-18T01:15:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ggyk+LEXPB5LkPfo359X9DluzbTWrLTerkiaA4Una9D0QOqDdLlE8OQyBoH9fIAdpa2DbluXLAT1doE+fwvCCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T05:11:11.275561Z"},"content_sha256":"f1b84c7676e733b9e3783004590ae3849e8fed8a22b3a7aea8e6e8b09b495af1","schema_version":"1.0","event_id":"sha256:f1b84c7676e733b9e3783004590ae3849e8fed8a22b3a7aea8e6e8b09b495af1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:KX7MYYG26LFRP2VY2LNGCU4N4Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Gauge Enhancement and Singular Limits in $G_2$ Compactifications of M-theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"David R. Morrison, James Halverson","submitted_at":"2015-07-21T20:00:43Z","abstract_excerpt":"We study the physics of singular limits of $G_2$ compactifications of M-theory, which are necessary to obtain a compactification with non-abelian gauge symmetry or massless charged particles. This is more difficult than for Calabi-Yau compactifications, due to the absence of calibrated two-cycles that would have allowed for direct control of W-boson masses as a function of moduli. Instead, we study the relationship between gauge enhancement and singular limits in $G_2$ moduli space where an associative or coassociative submanifold shrinks to zero size; this involves the physics of topological "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.05965","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":"2026-05-18T01:15:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bvB4MTMbuK2dKD8hh1ApU3DSXgBv7Kg3iH4z9SToRM2qWTFstEcGuPUUvNbjj0e7ZOr3G+L+KlgF9eB746H/CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T05:11:11.275913Z"},"content_sha256":"3adc01097617840536a585a5c1d9177ba509b2e15a1f8584b471fdc4b53c14b6","schema_version":"1.0","event_id":"sha256:3adc01097617840536a585a5c1d9177ba509b2e15a1f8584b471fdc4b53c14b6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KX7MYYG26LFRP2VY2LNGCU4N4Q/bundle.json","state_url":"https://pith.science/pith/KX7MYYG26LFRP2VY2LNGCU4N4Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KX7MYYG26LFRP2VY2LNGCU4N4Q/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":"2026-05-30T05:11:11Z","links":{"resolver":"https://pith.science/pith/KX7MYYG26LFRP2VY2LNGCU4N4Q","bundle":"https://pith.science/pith/KX7MYYG26LFRP2VY2LNGCU4N4Q/bundle.json","state":"https://pith.science/pith/KX7MYYG26LFRP2VY2LNGCU4N4Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KX7MYYG26LFRP2VY2LNGCU4N4Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:KX7MYYG26LFRP2VY2LNGCU4N4Q","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":"685b27adc6b23a038b2a941a4faf2f77beb56a4fa299afeb36d1b45add3b95ee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-07-21T20:00:43Z","title_canon_sha256":"f68e15939f71b72f0889b50767f38d6fe1f5bf6b9ad14e19e9f936723591a69c"},"schema_version":"1.0","source":{"id":"1507.05965","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.05965","created_at":"2026-05-18T01:15:44Z"},{"alias_kind":"arxiv_version","alias_value":"1507.05965v3","created_at":"2026-05-18T01:15:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.05965","created_at":"2026-05-18T01:15:44Z"},{"alias_kind":"pith_short_12","alias_value":"KX7MYYG26LFR","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"KX7MYYG26LFRP2VY","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"KX7MYYG2","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:3adc01097617840536a585a5c1d9177ba509b2e15a1f8584b471fdc4b53c14b6","target":"graph","created_at":"2026-05-18T01:15:44Z","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 study the physics of singular limits of $G_2$ compactifications of M-theory, which are necessary to obtain a compactification with non-abelian gauge symmetry or massless charged particles. This is more difficult than for Calabi-Yau compactifications, due to the absence of calibrated two-cycles that would have allowed for direct control of W-boson masses as a function of moduli. Instead, we study the relationship between gauge enhancement and singular limits in $G_2$ moduli space where an associative or coassociative submanifold shrinks to zero size; this involves the physics of topological ","authors_text":"David R. Morrison, James Halverson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-07-21T20:00:43Z","title":"On Gauge Enhancement and Singular Limits in $G_2$ Compactifications of M-theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.05965","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:f1b84c7676e733b9e3783004590ae3849e8fed8a22b3a7aea8e6e8b09b495af1","target":"record","created_at":"2026-05-18T01:15:44Z","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":"685b27adc6b23a038b2a941a4faf2f77beb56a4fa299afeb36d1b45add3b95ee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-07-21T20:00:43Z","title_canon_sha256":"f68e15939f71b72f0889b50767f38d6fe1f5bf6b9ad14e19e9f936723591a69c"},"schema_version":"1.0","source":{"id":"1507.05965","kind":"arxiv","version":3}},"canonical_sha256":"55fecc60daf2cb17eab8d2da61538de437cecfac633e29de1f2b6b078e187fc5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"55fecc60daf2cb17eab8d2da61538de437cecfac633e29de1f2b6b078e187fc5","first_computed_at":"2026-05-18T01:15:44.978991Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:44.978991Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zNHo9znPN6b/1Ked6s4b2CEqLiNKQxAWjShGn+Wsk5kj0LVbXtcWkLHf3zFFm2Jlx6vJDvRpDdPoHJwdfEvICQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:44.979406Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.05965","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f1b84c7676e733b9e3783004590ae3849e8fed8a22b3a7aea8e6e8b09b495af1","sha256:3adc01097617840536a585a5c1d9177ba509b2e15a1f8584b471fdc4b53c14b6"],"state_sha256":"d5a41e513060219426c0bd3db8b6e275fb1ba24df10af5da5ef119f59c250a0e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ilHX+WHemil8kkU5/AQJvv1+9iG6v/QWkPxYi1xH9U8YoXBRbx4d0YCVFpIBm3n5/B8nn587IANQm2JSS9G1Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T05:11:11.278362Z","bundle_sha256":"5807fb9c43f7759de350a53998cfd0c42080994088ca8f4a77d0779e8c205aad"}}