{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:22IQXHPXM7MDUAVX3A7V22SJXH","short_pith_number":"pith:22IQXHPX","canonical_record":{"source":{"id":"0908.3055","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-08-21T10:01:03Z","cross_cats_sorted":[],"title_canon_sha256":"7d2c982f7a5c7e59d09a64b94030df956544fbbaef92b1170b01c5b442290188","abstract_canon_sha256":"1a8e1016a10496fd07749188e3b61ca0f7f75dea0b0a14dba6d3359bf1877530"},"schema_version":"1.0"},"canonical_sha256":"d6910b9df767d83a02b7d83f5d6a49b9edccfac671ee2fb616a2e5972595a50f","source":{"kind":"arxiv","id":"0908.3055","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.3055","created_at":"2026-05-18T02:34:37Z"},{"alias_kind":"arxiv_version","alias_value":"0908.3055v2","created_at":"2026-05-18T02:34:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.3055","created_at":"2026-05-18T02:34:37Z"},{"alias_kind":"pith_short_12","alias_value":"22IQXHPXM7MD","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"22IQXHPXM7MDUAVX","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"22IQXHPX","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:22IQXHPXM7MDUAVX3A7V22SJXH","target":"record","payload":{"canonical_record":{"source":{"id":"0908.3055","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-08-21T10:01:03Z","cross_cats_sorted":[],"title_canon_sha256":"7d2c982f7a5c7e59d09a64b94030df956544fbbaef92b1170b01c5b442290188","abstract_canon_sha256":"1a8e1016a10496fd07749188e3b61ca0f7f75dea0b0a14dba6d3359bf1877530"},"schema_version":"1.0"},"canonical_sha256":"d6910b9df767d83a02b7d83f5d6a49b9edccfac671ee2fb616a2e5972595a50f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:34:37.581568Z","signature_b64":"zHBf4Bx0bf1o20nR9VM5Xz9n/lZxY+Kk8+kMDFW0N4FsgIgrdD1SvoJHBC8ZSJUEDvaaXT/f1muOwZOzNQmzDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d6910b9df767d83a02b7d83f5d6a49b9edccfac671ee2fb616a2e5972595a50f","last_reissued_at":"2026-05-18T02:34:37.580773Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:34:37.580773Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0908.3055","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":"2026-05-18T02:34:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aPiKrbKneHKJewI9DQkt/xjYGQE6lVZ1JW6NYRKpFENpWW/rNfrvyK5POI1dc986aouGy0FneLpcSwm+WFjVCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T16:43:46.236296Z"},"content_sha256":"43e2550126ea53c553468ebd07a8ea2b095fcfc768da12cb182efe5984bfebcd","schema_version":"1.0","event_id":"sha256:43e2550126ea53c553468ebd07a8ea2b095fcfc768da12cb182efe5984bfebcd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:22IQXHPXM7MDUAVX3A7V22SJXH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-Abelian Vortices, Super-Yang-Mills Theory and Spin(7)-Instantons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alexander D. Popov","submitted_at":"2009-08-21T10:01:03Z","abstract_excerpt":"We consider a complex vector bundle E endowed with a connection A over the eight-dimensional manifold R^2 x G/H, where G/H = SU(3)/U(1)xU(1) is a homogeneous space provided with a never integrable almost complex structure and a family of SU(3)-structures. We establish an equivalence between G-invariant solutions A of the Spin(7)-instanton equations on R^2 x G/H and general solutions of non-Abelian coupled vortex equations on R^2. These vortices are BPS solitons in a d=4 gauge theory obtained from N=1 supersymmetric Yang-Mills theory in ten dimensions compactified on the coset space G/H with an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.3055","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":"2026-05-18T02:34:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZfAQObW6i0q49rh57K3U6R88xx/4eWQdZOM0WmorWWv/m5wivx/jvZNRo0sijaRCD4VPt3zTdM9JpuKvYEYsDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T16:43:46.236950Z"},"content_sha256":"59e6150a10797061f118bf3d8a5885cda081878f814fe46021b2027a6a668017","schema_version":"1.0","event_id":"sha256:59e6150a10797061f118bf3d8a5885cda081878f814fe46021b2027a6a668017"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/22IQXHPXM7MDUAVX3A7V22SJXH/bundle.json","state_url":"https://pith.science/pith/22IQXHPXM7MDUAVX3A7V22SJXH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/22IQXHPXM7MDUAVX3A7V22SJXH/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":"2026-06-07T16:43:46Z","links":{"resolver":"https://pith.science/pith/22IQXHPXM7MDUAVX3A7V22SJXH","bundle":"https://pith.science/pith/22IQXHPXM7MDUAVX3A7V22SJXH/bundle.json","state":"https://pith.science/pith/22IQXHPXM7MDUAVX3A7V22SJXH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/22IQXHPXM7MDUAVX3A7V22SJXH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:22IQXHPXM7MDUAVX3A7V22SJXH","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":"1a8e1016a10496fd07749188e3b61ca0f7f75dea0b0a14dba6d3359bf1877530","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-08-21T10:01:03Z","title_canon_sha256":"7d2c982f7a5c7e59d09a64b94030df956544fbbaef92b1170b01c5b442290188"},"schema_version":"1.0","source":{"id":"0908.3055","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.3055","created_at":"2026-05-18T02:34:37Z"},{"alias_kind":"arxiv_version","alias_value":"0908.3055v2","created_at":"2026-05-18T02:34:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.3055","created_at":"2026-05-18T02:34:37Z"},{"alias_kind":"pith_short_12","alias_value":"22IQXHPXM7MD","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"22IQXHPXM7MDUAVX","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"22IQXHPX","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:59e6150a10797061f118bf3d8a5885cda081878f814fe46021b2027a6a668017","target":"graph","created_at":"2026-05-18T02:34:37Z","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 consider a complex vector bundle E endowed with a connection A over the eight-dimensional manifold R^2 x G/H, where G/H = SU(3)/U(1)xU(1) is a homogeneous space provided with a never integrable almost complex structure and a family of SU(3)-structures. We establish an equivalence between G-invariant solutions A of the Spin(7)-instanton equations on R^2 x G/H and general solutions of non-Abelian coupled vortex equations on R^2. These vortices are BPS solitons in a d=4 gauge theory obtained from N=1 supersymmetric Yang-Mills theory in ten dimensions compactified on the coset space G/H with an","authors_text":"Alexander D. Popov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-08-21T10:01:03Z","title":"Non-Abelian Vortices, Super-Yang-Mills Theory and Spin(7)-Instantons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.3055","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":"sha256:43e2550126ea53c553468ebd07a8ea2b095fcfc768da12cb182efe5984bfebcd","target":"record","created_at":"2026-05-18T02:34:37Z","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":"1a8e1016a10496fd07749188e3b61ca0f7f75dea0b0a14dba6d3359bf1877530","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-08-21T10:01:03Z","title_canon_sha256":"7d2c982f7a5c7e59d09a64b94030df956544fbbaef92b1170b01c5b442290188"},"schema_version":"1.0","source":{"id":"0908.3055","kind":"arxiv","version":2}},"canonical_sha256":"d6910b9df767d83a02b7d83f5d6a49b9edccfac671ee2fb616a2e5972595a50f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d6910b9df767d83a02b7d83f5d6a49b9edccfac671ee2fb616a2e5972595a50f","first_computed_at":"2026-05-18T02:34:37.580773Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:34:37.580773Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zHBf4Bx0bf1o20nR9VM5Xz9n/lZxY+Kk8+kMDFW0N4FsgIgrdD1SvoJHBC8ZSJUEDvaaXT/f1muOwZOzNQmzDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:34:37.581568Z","signed_message":"canonical_sha256_bytes"},"source_id":"0908.3055","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:43e2550126ea53c553468ebd07a8ea2b095fcfc768da12cb182efe5984bfebcd","sha256:59e6150a10797061f118bf3d8a5885cda081878f814fe46021b2027a6a668017"],"state_sha256":"86d231281484ac5a05d33b10b632c2a9b1bcba250602a0342ad329f4275e16cd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"igl3qW3sDaqzpV4uvG7lVuYK2zt0Oa37sAKKlx9mRfCMReert0qdu83O2JB1UjvxG9aWO88yfaohKJ2HL7RQDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T16:43:46.240800Z","bundle_sha256":"3c54b2502627f4a4da1725f2785a6fa6215a5479a689e568bd7526bde2fd5b01"}}