{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:SZNACSVHDPVC2DTPTWPINTZTHN","short_pith_number":"pith:SZNACSVH","canonical_record":{"source":{"id":"1309.1919","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-09-08T00:09:53Z","cross_cats_sorted":[],"title_canon_sha256":"0148a076c9d48661a2c66e2c8a4c5abf62f11f57b845646c717aeba7763c6897","abstract_canon_sha256":"8bfef830b7bac45282235ea050c1c399d27e9d0b0b8e2c953c940a1adeac99f4"},"schema_version":"1.0"},"canonical_sha256":"965a014aa71bea2d0e6f9d9e86cf333b6da2b1e8bed1c5778ea1da864525cb55","source":{"kind":"arxiv","id":"1309.1919","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.1919","created_at":"2026-05-18T03:13:57Z"},{"alias_kind":"arxiv_version","alias_value":"1309.1919v1","created_at":"2026-05-18T03:13:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.1919","created_at":"2026-05-18T03:13:57Z"},{"alias_kind":"pith_short_12","alias_value":"SZNACSVHDPVC","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"SZNACSVHDPVC2DTP","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"SZNACSVH","created_at":"2026-05-18T12:27:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:SZNACSVHDPVC2DTPTWPINTZTHN","target":"record","payload":{"canonical_record":{"source":{"id":"1309.1919","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-09-08T00:09:53Z","cross_cats_sorted":[],"title_canon_sha256":"0148a076c9d48661a2c66e2c8a4c5abf62f11f57b845646c717aeba7763c6897","abstract_canon_sha256":"8bfef830b7bac45282235ea050c1c399d27e9d0b0b8e2c953c940a1adeac99f4"},"schema_version":"1.0"},"canonical_sha256":"965a014aa71bea2d0e6f9d9e86cf333b6da2b1e8bed1c5778ea1da864525cb55","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:13:57.039588Z","signature_b64":"XAbRvGiRbPwtG/Wvif9jY92nEp2pL9rdm3ig0k4i70DvI6b3Pc38mQynsQ5FvBg1W112b1AvkfF3VBSao8UPBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"965a014aa71bea2d0e6f9d9e86cf333b6da2b1e8bed1c5778ea1da864525cb55","last_reissued_at":"2026-05-18T03:13:57.038861Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:13:57.038861Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.1919","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":"2026-05-18T03:13:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sYTHvz1/N7uWBeM693stn+8Wi7Ef9H/0RrPOSsFgprI/qOnKRsii8PWUpabzwFi6n5/2kuB+iJUi5ZEvJL2mBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T03:33:29.195743Z"},"content_sha256":"d40a90185dcd0764f490e42a403aa874bd8072e843f0db7e046fefe3448d57d3","schema_version":"1.0","event_id":"sha256:d40a90185dcd0764f490e42a403aa874bd8072e843f0db7e046fefe3448d57d3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:SZNACSVHDPVC2DTPTWPINTZTHN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Existence theorems for non-Abelian Chern--Simons--Higgs vortices with flavor","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"F. A.Schaposnik, Gustavo Lozano, Shouxin Chen, Xiaosen Han","submitted_at":"2013-09-08T00:09:53Z","abstract_excerpt":"In this paper we establish the existence of vortex solutions for a Chern--Simons--Higgs model with gauge group $SU(N) \\times U(1)$ and flavor SU(N), these symmetries ensuring the existence of genuine non-Abelian vortices through a color-flavor locking. Under a suitable ansatz we reduce the problem to a $2\\times 2$ system of nonlinear elliptic equations with exponential terms. We study this system over the full plane and over a doubly periodic domain, respectively. For the planar case we use a variational argument to establish the existence result and derive the decay estimates of the solutions"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.1919","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":""},"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":"2026-05-18T03:13:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UcYOaQlt0lInBoFzz/QvETad85yGVyvCcj0YcAiu67tNFUv+/mo+iUBhNFOvXUhccUZXEv/r4YXMjfCsfGVeAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T03:33:29.196081Z"},"content_sha256":"f204433595958eedae9e53b9ad11de697ea9ecc8f88254ea7433dc166d6b8154","schema_version":"1.0","event_id":"sha256:f204433595958eedae9e53b9ad11de697ea9ecc8f88254ea7433dc166d6b8154"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SZNACSVHDPVC2DTPTWPINTZTHN/bundle.json","state_url":"https://pith.science/pith/SZNACSVHDPVC2DTPTWPINTZTHN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SZNACSVHDPVC2DTPTWPINTZTHN/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":"2026-06-03T03:33:29Z","links":{"resolver":"https://pith.science/pith/SZNACSVHDPVC2DTPTWPINTZTHN","bundle":"https://pith.science/pith/SZNACSVHDPVC2DTPTWPINTZTHN/bundle.json","state":"https://pith.science/pith/SZNACSVHDPVC2DTPTWPINTZTHN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SZNACSVHDPVC2DTPTWPINTZTHN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:SZNACSVHDPVC2DTPTWPINTZTHN","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":"8bfef830b7bac45282235ea050c1c399d27e9d0b0b8e2c953c940a1adeac99f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-09-08T00:09:53Z","title_canon_sha256":"0148a076c9d48661a2c66e2c8a4c5abf62f11f57b845646c717aeba7763c6897"},"schema_version":"1.0","source":{"id":"1309.1919","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.1919","created_at":"2026-05-18T03:13:57Z"},{"alias_kind":"arxiv_version","alias_value":"1309.1919v1","created_at":"2026-05-18T03:13:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.1919","created_at":"2026-05-18T03:13:57Z"},{"alias_kind":"pith_short_12","alias_value":"SZNACSVHDPVC","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"SZNACSVHDPVC2DTP","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"SZNACSVH","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:f204433595958eedae9e53b9ad11de697ea9ecc8f88254ea7433dc166d6b8154","target":"graph","created_at":"2026-05-18T03:13:57Z","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":"In this paper we establish the existence of vortex solutions for a Chern--Simons--Higgs model with gauge group $SU(N) \\times U(1)$ and flavor SU(N), these symmetries ensuring the existence of genuine non-Abelian vortices through a color-flavor locking. Under a suitable ansatz we reduce the problem to a $2\\times 2$ system of nonlinear elliptic equations with exponential terms. We study this system over the full plane and over a doubly periodic domain, respectively. For the planar case we use a variational argument to establish the existence result and derive the decay estimates of the solutions","authors_text":"F. A.Schaposnik, Gustavo Lozano, Shouxin Chen, Xiaosen Han","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-09-08T00:09:53Z","title":"Existence theorems for non-Abelian Chern--Simons--Higgs vortices with flavor"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.1919","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:d40a90185dcd0764f490e42a403aa874bd8072e843f0db7e046fefe3448d57d3","target":"record","created_at":"2026-05-18T03:13:57Z","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":"8bfef830b7bac45282235ea050c1c399d27e9d0b0b8e2c953c940a1adeac99f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-09-08T00:09:53Z","title_canon_sha256":"0148a076c9d48661a2c66e2c8a4c5abf62f11f57b845646c717aeba7763c6897"},"schema_version":"1.0","source":{"id":"1309.1919","kind":"arxiv","version":1}},"canonical_sha256":"965a014aa71bea2d0e6f9d9e86cf333b6da2b1e8bed1c5778ea1da864525cb55","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"965a014aa71bea2d0e6f9d9e86cf333b6da2b1e8bed1c5778ea1da864525cb55","first_computed_at":"2026-05-18T03:13:57.038861Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:13:57.038861Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XAbRvGiRbPwtG/Wvif9jY92nEp2pL9rdm3ig0k4i70DvI6b3Pc38mQynsQ5FvBg1W112b1AvkfF3VBSao8UPBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:13:57.039588Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.1919","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d40a90185dcd0764f490e42a403aa874bd8072e843f0db7e046fefe3448d57d3","sha256:f204433595958eedae9e53b9ad11de697ea9ecc8f88254ea7433dc166d6b8154"],"state_sha256":"3a429ed52637f46a00de9fce29d96dafb28c54e7e27bbbd9a9da9c6766855805"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/b6DrYzjrXqZiehY3oIFipcbw+TMqH32jMfp25hRbLoWIABAGK2OE+FNNsJkmL8CMOMCEW5rgHytIovdMidABg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T03:33:29.197957Z","bundle_sha256":"f580c931b42b81e8c54e4a5374cfdebcbf19e1e0aa0061c52cc3cc033b695301"}}