{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:6UL5N6Z2C4PH5FXMFGSVIY7XQL","short_pith_number":"pith:6UL5N6Z2","canonical_record":{"source":{"id":"1808.08972","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-08-27T18:00:27Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"e6b7d4b98a0a6535383b170be018d446b70487b4309dae98912dd2bee4d0d797","abstract_canon_sha256":"a6a281c7b8c9e8d7749e59ee7843bf34da17193b029b96e4ec02d4e143c2b2fe"},"schema_version":"1.0"},"canonical_sha256":"f517d6fb3a171e7e96ec29a55463f782dbbb7029dcbd0d93f2811c82dcd10509","source":{"kind":"arxiv","id":"1808.08972","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.08972","created_at":"2026-05-17T23:39:48Z"},{"alias_kind":"arxiv_version","alias_value":"1808.08972v2","created_at":"2026-05-17T23:39:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.08972","created_at":"2026-05-17T23:39:48Z"},{"alias_kind":"pith_short_12","alias_value":"6UL5N6Z2C4PH","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"6UL5N6Z2C4PH5FXM","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"6UL5N6Z2","created_at":"2026-05-18T12:32:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:6UL5N6Z2C4PH5FXMFGSVIY7XQL","target":"record","payload":{"canonical_record":{"source":{"id":"1808.08972","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-08-27T18:00:27Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"e6b7d4b98a0a6535383b170be018d446b70487b4309dae98912dd2bee4d0d797","abstract_canon_sha256":"a6a281c7b8c9e8d7749e59ee7843bf34da17193b029b96e4ec02d4e143c2b2fe"},"schema_version":"1.0"},"canonical_sha256":"f517d6fb3a171e7e96ec29a55463f782dbbb7029dcbd0d93f2811c82dcd10509","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:39:48.564466Z","signature_b64":"AmQSg608KYjLEu66Oh/yi+qZkk48qhYfJRk+qhECRXSk4qOvAu0FTR0rEbJj8dBOevCiA264OBcs69lQM08LCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f517d6fb3a171e7e96ec29a55463f782dbbb7029dcbd0d93f2811c82dcd10509","last_reissued_at":"2026-05-17T23:39:48.563724Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:39:48.563724Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1808.08972","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":"2026-05-17T23:39:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FCDg11ZsbMHOqUBcPhFuVuQuIzR4SHTZBWhjELAyx4SdTyz52dUWOMcPCB21E+PPAcxbIzftCt+pAF5ToZylCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T14:11:26.092622Z"},"content_sha256":"3fb430c40b7a30440857fcda5ae02207624bc23113b5bdf9b8bb36f0a43a6a53","schema_version":"1.0","event_id":"sha256:3fb430c40b7a30440857fcda5ae02207624bc23113b5bdf9b8bb36f0a43a6a53"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:6UL5N6Z2C4PH5FXMFGSVIY7XQL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Skyrme and Faddeev models in the low-energy limit of 4d Yang-Mills-Higgs theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Alexander D. Popov, Olaf Lechtenfeld","submitted_at":"2018-08-27T18:00:27Z","abstract_excerpt":"Firstly, we consider Yang-Mills theory on ${\\mathbb R}^{3,1}$ with an adjoint Higgs field spontaneously breaking a compact gauge group $G$ to a subgroup $H$, so that the Higgs vacuum manifold forms the coset $G/H$. It is shown that in the low-energy limit, when the Higgs vacuum value is large, the 4d Yang-Mills-Higgs theory reduces to the Faddeev sigma model on ${\\mathbb R}^{3,1}$ with $G/H$ as target. Its action contains the standard two-derivative sigma-model term as well as the four-derivative Skyrme-type term, which stabilizes solutions against scaling. Secondly, we put the Higgs field in "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.08972","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":"2026-05-17T23:39:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"If4ksa/8x/B/0Ym8niI2B80r8nI6pTSAIiRCdbtxVLC+3qjfea+Hw61jczuHqL8XVzzePGVCfBk3Yva0qEBNAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T14:11:26.093403Z"},"content_sha256":"940fcbe5c8d358fe76eb6e05a936d97446c5cd590690863ae59186e1ba43a40f","schema_version":"1.0","event_id":"sha256:940fcbe5c8d358fe76eb6e05a936d97446c5cd590690863ae59186e1ba43a40f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6UL5N6Z2C4PH5FXMFGSVIY7XQL/bundle.json","state_url":"https://pith.science/pith/6UL5N6Z2C4PH5FXMFGSVIY7XQL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6UL5N6Z2C4PH5FXMFGSVIY7XQL/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":"2026-06-07T14:11:26Z","links":{"resolver":"https://pith.science/pith/6UL5N6Z2C4PH5FXMFGSVIY7XQL","bundle":"https://pith.science/pith/6UL5N6Z2C4PH5FXMFGSVIY7XQL/bundle.json","state":"https://pith.science/pith/6UL5N6Z2C4PH5FXMFGSVIY7XQL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6UL5N6Z2C4PH5FXMFGSVIY7XQL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:6UL5N6Z2C4PH5FXMFGSVIY7XQL","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":"a6a281c7b8c9e8d7749e59ee7843bf34da17193b029b96e4ec02d4e143c2b2fe","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-08-27T18:00:27Z","title_canon_sha256":"e6b7d4b98a0a6535383b170be018d446b70487b4309dae98912dd2bee4d0d797"},"schema_version":"1.0","source":{"id":"1808.08972","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.08972","created_at":"2026-05-17T23:39:48Z"},{"alias_kind":"arxiv_version","alias_value":"1808.08972v2","created_at":"2026-05-17T23:39:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.08972","created_at":"2026-05-17T23:39:48Z"},{"alias_kind":"pith_short_12","alias_value":"6UL5N6Z2C4PH","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"6UL5N6Z2C4PH5FXM","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"6UL5N6Z2","created_at":"2026-05-18T12:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:940fcbe5c8d358fe76eb6e05a936d97446c5cd590690863ae59186e1ba43a40f","target":"graph","created_at":"2026-05-17T23:39:48Z","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":"Firstly, we consider Yang-Mills theory on ${\\mathbb R}^{3,1}$ with an adjoint Higgs field spontaneously breaking a compact gauge group $G$ to a subgroup $H$, so that the Higgs vacuum manifold forms the coset $G/H$. It is shown that in the low-energy limit, when the Higgs vacuum value is large, the 4d Yang-Mills-Higgs theory reduces to the Faddeev sigma model on ${\\mathbb R}^{3,1}$ with $G/H$ as target. Its action contains the standard two-derivative sigma-model term as well as the four-derivative Skyrme-type term, which stabilizes solutions against scaling. Secondly, we put the Higgs field in ","authors_text":"Alexander D. Popov, Olaf Lechtenfeld","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-08-27T18:00:27Z","title":"Skyrme and Faddeev models in the low-energy limit of 4d Yang-Mills-Higgs theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.08972","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":"sha256:3fb430c40b7a30440857fcda5ae02207624bc23113b5bdf9b8bb36f0a43a6a53","target":"record","created_at":"2026-05-17T23:39:48Z","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":"a6a281c7b8c9e8d7749e59ee7843bf34da17193b029b96e4ec02d4e143c2b2fe","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-08-27T18:00:27Z","title_canon_sha256":"e6b7d4b98a0a6535383b170be018d446b70487b4309dae98912dd2bee4d0d797"},"schema_version":"1.0","source":{"id":"1808.08972","kind":"arxiv","version":2}},"canonical_sha256":"f517d6fb3a171e7e96ec29a55463f782dbbb7029dcbd0d93f2811c82dcd10509","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f517d6fb3a171e7e96ec29a55463f782dbbb7029dcbd0d93f2811c82dcd10509","first_computed_at":"2026-05-17T23:39:48.563724Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:39:48.563724Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AmQSg608KYjLEu66Oh/yi+qZkk48qhYfJRk+qhECRXSk4qOvAu0FTR0rEbJj8dBOevCiA264OBcs69lQM08LCQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:39:48.564466Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.08972","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3fb430c40b7a30440857fcda5ae02207624bc23113b5bdf9b8bb36f0a43a6a53","sha256:940fcbe5c8d358fe76eb6e05a936d97446c5cd590690863ae59186e1ba43a40f"],"state_sha256":"448cda4f8db22f401243ba5f7e9d840a65fcfe488e82e7d4c23446fdd7098439"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cUY1f5nCXaxhkpfsOGWyCAN7Zd769OUpZKAbXcSLK2M17q4T+Zizqmr1SDjmBEZ5vQ7NpS/1WFRghN5mXCE3Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T14:11:26.097717Z","bundle_sha256":"c63463bc83d2327ac52953e9ec1987cee25ddc80ae270d45b55ae1919f844b82"}}