{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:N5JR5QJ65QSG7V3V7NN5ZY3WB5","short_pith_number":"pith:N5JR5QJ6","canonical_record":{"source":{"id":"1811.09535","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-11-23T16:13:58Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"20ccb18b7a93d5deac9bd461842e828150a1de2d804f4858c44621caa7fa80ac","abstract_canon_sha256":"6704bf257d639a3d174e5a5d81259247240e4d8b95ebea73d5247abf8a650ffa"},"schema_version":"1.0"},"canonical_sha256":"6f531ec13eec246fd775fb5bdce3760f41429f6dd0ae122f121014e75de3e69d","source":{"kind":"arxiv","id":"1811.09535","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.09535","created_at":"2026-05-17T23:53:24Z"},{"alias_kind":"arxiv_version","alias_value":"1811.09535v2","created_at":"2026-05-17T23:53:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.09535","created_at":"2026-05-17T23:53:24Z"},{"alias_kind":"pith_short_12","alias_value":"N5JR5QJ65QSG","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"N5JR5QJ65QSG7V3V","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"N5JR5QJ6","created_at":"2026-05-18T12:32:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:N5JR5QJ65QSG7V3V7NN5ZY3WB5","target":"record","payload":{"canonical_record":{"source":{"id":"1811.09535","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-11-23T16:13:58Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"20ccb18b7a93d5deac9bd461842e828150a1de2d804f4858c44621caa7fa80ac","abstract_canon_sha256":"6704bf257d639a3d174e5a5d81259247240e4d8b95ebea73d5247abf8a650ffa"},"schema_version":"1.0"},"canonical_sha256":"6f531ec13eec246fd775fb5bdce3760f41429f6dd0ae122f121014e75de3e69d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:24.143269Z","signature_b64":"OK96z0xHkxC5inMhzEXT9vcU5D/Qba96FSyVBgAKDbIjzjg8t9TFIGDiMvVYz5FXmXUQnaft5Tw52jN39CB/BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6f531ec13eec246fd775fb5bdce3760f41429f6dd0ae122f121014e75de3e69d","last_reissued_at":"2026-05-17T23:53:24.142737Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:24.142737Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.09535","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":"2026-05-17T23:53:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2ernO4jCDKYSHKgQyXnOEqkIz2/gTW2duRvCzXY7t3qcXVL4n2khy0HS+7qBR1GKIwhJsz5Y3ILguRj+v2enAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T15:54:57.229168Z"},"content_sha256":"1501e7fc8e9028666d242eef17414ea44636148142e26b1ffa09c8f16146db72","schema_version":"1.0","event_id":"sha256:1501e7fc8e9028666d242eef17414ea44636148142e26b1ffa09c8f16146db72"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:N5JR5QJ65QSG7V3V7NN5ZY3WB5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the topological charge of $SO(2)$ gauged Skyrmions in $2+1$ and $3+1$ dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"D. H. Tchrakian, Eugen Radu, Francisco Navarro-Lerida","submitted_at":"2018-11-23T16:13:58Z","abstract_excerpt":"The question of the dependence of the topological charge $q$ of a gauged Skyrmion, on the gauge field, is studied quantitatively. Two examples, both gauged with $SO(2)$ are studied and contrasted: i) The $O(3)$ model in $2+1$ dimensions, and ii) The $O(4)$ model in $3+1$ dimensions. In case i), where the (usual) Chern-Simons (CS) term is present, the value of $q$ changes sign, going through zero. This evolution is tracked by a parameter characterising the solutions in the given theory. In case ii), in which dimensions no CS density is available, the evolution of $q$ is not observed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.09535","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":"2026-05-17T23:53:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ss9b3SdipD+ecF0e6ApvDJ1OQxObvwKdnWg94ROMu2yifTgtgD78ctFMh6zT/JpPy0yoDHjOKTp2flvN17T5Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T15:54:57.229850Z"},"content_sha256":"02349a013ccc4512ab0fd9af290bbd84f38674b4f8c552aaaf8a9832e9eb4a7f","schema_version":"1.0","event_id":"sha256:02349a013ccc4512ab0fd9af290bbd84f38674b4f8c552aaaf8a9832e9eb4a7f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N5JR5QJ65QSG7V3V7NN5ZY3WB5/bundle.json","state_url":"https://pith.science/pith/N5JR5QJ65QSG7V3V7NN5ZY3WB5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N5JR5QJ65QSG7V3V7NN5ZY3WB5/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":"2026-05-29T15:54:57Z","links":{"resolver":"https://pith.science/pith/N5JR5QJ65QSG7V3V7NN5ZY3WB5","bundle":"https://pith.science/pith/N5JR5QJ65QSG7V3V7NN5ZY3WB5/bundle.json","state":"https://pith.science/pith/N5JR5QJ65QSG7V3V7NN5ZY3WB5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N5JR5QJ65QSG7V3V7NN5ZY3WB5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:N5JR5QJ65QSG7V3V7NN5ZY3WB5","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":"6704bf257d639a3d174e5a5d81259247240e4d8b95ebea73d5247abf8a650ffa","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-11-23T16:13:58Z","title_canon_sha256":"20ccb18b7a93d5deac9bd461842e828150a1de2d804f4858c44621caa7fa80ac"},"schema_version":"1.0","source":{"id":"1811.09535","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.09535","created_at":"2026-05-17T23:53:24Z"},{"alias_kind":"arxiv_version","alias_value":"1811.09535v2","created_at":"2026-05-17T23:53:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.09535","created_at":"2026-05-17T23:53:24Z"},{"alias_kind":"pith_short_12","alias_value":"N5JR5QJ65QSG","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"N5JR5QJ65QSG7V3V","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"N5JR5QJ6","created_at":"2026-05-18T12:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:02349a013ccc4512ab0fd9af290bbd84f38674b4f8c552aaaf8a9832e9eb4a7f","target":"graph","created_at":"2026-05-17T23:53:24Z","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":"The question of the dependence of the topological charge $q$ of a gauged Skyrmion, on the gauge field, is studied quantitatively. Two examples, both gauged with $SO(2)$ are studied and contrasted: i) The $O(3)$ model in $2+1$ dimensions, and ii) The $O(4)$ model in $3+1$ dimensions. In case i), where the (usual) Chern-Simons (CS) term is present, the value of $q$ changes sign, going through zero. This evolution is tracked by a parameter characterising the solutions in the given theory. In case ii), in which dimensions no CS density is available, the evolution of $q$ is not observed.","authors_text":"D. H. Tchrakian, Eugen Radu, Francisco Navarro-Lerida","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-11-23T16:13:58Z","title":"On the topological charge of $SO(2)$ gauged Skyrmions in $2+1$ and $3+1$ dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.09535","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":"sha256:1501e7fc8e9028666d242eef17414ea44636148142e26b1ffa09c8f16146db72","target":"record","created_at":"2026-05-17T23:53:24Z","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":"6704bf257d639a3d174e5a5d81259247240e4d8b95ebea73d5247abf8a650ffa","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-11-23T16:13:58Z","title_canon_sha256":"20ccb18b7a93d5deac9bd461842e828150a1de2d804f4858c44621caa7fa80ac"},"schema_version":"1.0","source":{"id":"1811.09535","kind":"arxiv","version":2}},"canonical_sha256":"6f531ec13eec246fd775fb5bdce3760f41429f6dd0ae122f121014e75de3e69d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6f531ec13eec246fd775fb5bdce3760f41429f6dd0ae122f121014e75de3e69d","first_computed_at":"2026-05-17T23:53:24.142737Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:24.142737Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OK96z0xHkxC5inMhzEXT9vcU5D/Qba96FSyVBgAKDbIjzjg8t9TFIGDiMvVYz5FXmXUQnaft5Tw52jN39CB/BQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:24.143269Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.09535","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1501e7fc8e9028666d242eef17414ea44636148142e26b1ffa09c8f16146db72","sha256:02349a013ccc4512ab0fd9af290bbd84f38674b4f8c552aaaf8a9832e9eb4a7f"],"state_sha256":"5c34b21a3e2c58aa3c5cf9e93f09466edbb29345665564f9719dbb2ffd61ab32"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u2sZa5ZWQP/zNsV76Cm7EeK7TubFJoiRyh6XxoJ2pfvj8RN09ADfnNhMu9CUHqpoktGBtVwIRU7Qi/lXQUqvDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T15:54:57.233222Z","bundle_sha256":"6518d078b829e16c53e47016d3a0894d97f6a095f9e87a7b77e542b9ae013a35"}}