{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:B5QA52KDQBKFDDNHCMRGKMEGWZ","short_pith_number":"pith:B5QA52KD","canonical_record":{"source":{"id":"0909.4220","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-09-23T14:46:32Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"18e56bf0fa94945148db836280cd89ed914ca45c5ec3e679168087616ac84fc6","abstract_canon_sha256":"3b9a8b9cb92da22891053915e42e8b5f60b191ce409519b5460863ded50be459"},"schema_version":"1.0"},"canonical_sha256":"0f600ee9438054518da71322653086b645646338f4ebd8c4f3e8c1a000f536aa","source":{"kind":"arxiv","id":"0909.4220","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0909.4220","created_at":"2026-05-18T02:34:28Z"},{"alias_kind":"arxiv_version","alias_value":"0909.4220v2","created_at":"2026-05-18T02:34:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.4220","created_at":"2026-05-18T02:34:28Z"},{"alias_kind":"pith_short_12","alias_value":"B5QA52KDQBKF","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"B5QA52KDQBKFDDNH","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"B5QA52KD","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:B5QA52KDQBKFDDNHCMRGKMEGWZ","target":"record","payload":{"canonical_record":{"source":{"id":"0909.4220","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-09-23T14:46:32Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"18e56bf0fa94945148db836280cd89ed914ca45c5ec3e679168087616ac84fc6","abstract_canon_sha256":"3b9a8b9cb92da22891053915e42e8b5f60b191ce409519b5460863ded50be459"},"schema_version":"1.0"},"canonical_sha256":"0f600ee9438054518da71322653086b645646338f4ebd8c4f3e8c1a000f536aa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:34:28.014029Z","signature_b64":"hUxtP1dW6cOwwcnYhTwmu8wQ2CzJsUVCGEXP6D3hYbqsQlxBDQKndDhBzn60RSAs+uTLk/5MgqTLABbumXcWCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0f600ee9438054518da71322653086b645646338f4ebd8c4f3e8c1a000f536aa","last_reissued_at":"2026-05-18T02:34:28.013546Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:34:28.013546Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0909.4220","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":"2026-05-18T02:34:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YXIST786lzAAYVjrwEneEb7uFr2dZV/fZEL6HD67ZaEMdpGvbwBu0amLNJ9XwCFMuzMo2h6bJrpCYo306Bl3Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T21:23:39.139686Z"},"content_sha256":"91fb6f96842cf60cce3fecb7c10267852946928c4d80e0fde654bd985523f220","schema_version":"1.0","event_id":"sha256:91fb6f96842cf60cce3fecb7c10267852946928c4d80e0fde654bd985523f220"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:B5QA52KDQBKFDDNHCMRGKMEGWZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-Abelian Yang-Mills-Higgs vortices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"D. H. Tchrakian, Francisco Navarro-Lerida","submitted_at":"2009-09-23T14:46:32Z","abstract_excerpt":"In this Letter we present new, genuinely non-Abelian vortex solutions in SU(2) Yang-Mills--Higgs theory with only one {\\it isovector} scalar field. These non-Abelian solutions branch off their Abelian counterparts (Abrikosov-Nielsen-Olesen vortices) for precise values of the Higgs potential coupling constant $\\lambda$. For all values of $\\lambda$, their energies lie below those of the Abelian energy profiles, the latter being logarithmically divergent as $\\lambda\\to\\infty$. The non-Abelian branches plateau in the limit $\\lambda\\to\\infty$ and their number increases with $\\lambda$, this number b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.4220","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":"2026-05-18T02:34:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5ygEkQi4GWUOcQrS22h6N/RLE84hlfAZMQe3WvIQI7629kkyar/pHAVOo6qi6dQelfpmToupRwXoWBg7r5dFBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T21:23:39.140209Z"},"content_sha256":"8e5bd44ec4f13eef13e67c38644e7f2a1f8c18173605f2911d7221d551a23add","schema_version":"1.0","event_id":"sha256:8e5bd44ec4f13eef13e67c38644e7f2a1f8c18173605f2911d7221d551a23add"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B5QA52KDQBKFDDNHCMRGKMEGWZ/bundle.json","state_url":"https://pith.science/pith/B5QA52KDQBKFDDNHCMRGKMEGWZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B5QA52KDQBKFDDNHCMRGKMEGWZ/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":"2026-05-25T21:23:39Z","links":{"resolver":"https://pith.science/pith/B5QA52KDQBKFDDNHCMRGKMEGWZ","bundle":"https://pith.science/pith/B5QA52KDQBKFDDNHCMRGKMEGWZ/bundle.json","state":"https://pith.science/pith/B5QA52KDQBKFDDNHCMRGKMEGWZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B5QA52KDQBKFDDNHCMRGKMEGWZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:B5QA52KDQBKFDDNHCMRGKMEGWZ","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":"3b9a8b9cb92da22891053915e42e8b5f60b191ce409519b5460863ded50be459","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-09-23T14:46:32Z","title_canon_sha256":"18e56bf0fa94945148db836280cd89ed914ca45c5ec3e679168087616ac84fc6"},"schema_version":"1.0","source":{"id":"0909.4220","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0909.4220","created_at":"2026-05-18T02:34:28Z"},{"alias_kind":"arxiv_version","alias_value":"0909.4220v2","created_at":"2026-05-18T02:34:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.4220","created_at":"2026-05-18T02:34:28Z"},{"alias_kind":"pith_short_12","alias_value":"B5QA52KDQBKF","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"B5QA52KDQBKFDDNH","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"B5QA52KD","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:8e5bd44ec4f13eef13e67c38644e7f2a1f8c18173605f2911d7221d551a23add","target":"graph","created_at":"2026-05-18T02:34:28Z","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 Letter we present new, genuinely non-Abelian vortex solutions in SU(2) Yang-Mills--Higgs theory with only one {\\it isovector} scalar field. These non-Abelian solutions branch off their Abelian counterparts (Abrikosov-Nielsen-Olesen vortices) for precise values of the Higgs potential coupling constant $\\lambda$. For all values of $\\lambda$, their energies lie below those of the Abelian energy profiles, the latter being logarithmically divergent as $\\lambda\\to\\infty$. The non-Abelian branches plateau in the limit $\\lambda\\to\\infty$ and their number increases with $\\lambda$, this number b","authors_text":"D. H. Tchrakian, Francisco Navarro-Lerida","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-09-23T14:46:32Z","title":"Non-Abelian Yang-Mills-Higgs vortices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.4220","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":"sha256:91fb6f96842cf60cce3fecb7c10267852946928c4d80e0fde654bd985523f220","target":"record","created_at":"2026-05-18T02:34:28Z","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":"3b9a8b9cb92da22891053915e42e8b5f60b191ce409519b5460863ded50be459","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-09-23T14:46:32Z","title_canon_sha256":"18e56bf0fa94945148db836280cd89ed914ca45c5ec3e679168087616ac84fc6"},"schema_version":"1.0","source":{"id":"0909.4220","kind":"arxiv","version":2}},"canonical_sha256":"0f600ee9438054518da71322653086b645646338f4ebd8c4f3e8c1a000f536aa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f600ee9438054518da71322653086b645646338f4ebd8c4f3e8c1a000f536aa","first_computed_at":"2026-05-18T02:34:28.013546Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:34:28.013546Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hUxtP1dW6cOwwcnYhTwmu8wQ2CzJsUVCGEXP6D3hYbqsQlxBDQKndDhBzn60RSAs+uTLk/5MgqTLABbumXcWCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:34:28.014029Z","signed_message":"canonical_sha256_bytes"},"source_id":"0909.4220","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:91fb6f96842cf60cce3fecb7c10267852946928c4d80e0fde654bd985523f220","sha256:8e5bd44ec4f13eef13e67c38644e7f2a1f8c18173605f2911d7221d551a23add"],"state_sha256":"0a15860909c7ea68fa9714ce5371aacc0d6bd081405fcd76934177c0867ce779"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7NISMXseRUCcpd69uzgduNzwRAtbNS2Qvhccndk9q/gaaZE99UaEi8I2d5PqiIWHFRv7fkTBxQJ++qDI+DMOCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T21:23:39.142395Z","bundle_sha256":"7993393c146609d615c08349879bb003c14bb08658dd852613f3a116d8b3ebff"}}