{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1992:CWHW3PL6JK4XODHRDOHJQONBL2","short_pith_number":"pith:CWHW3PL6","canonical_record":{"source":{"id":"hep-th/9209088","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1992-09-23T09:39:00Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"456c0ac0d48336de8ee434c6361ea338f21ff538d413702abd9e02c5db7b9652","abstract_canon_sha256":"b6679623add36355ddb06dd1a59cf57a43cce8ab0efd4012a3637c4a23d3db37"},"schema_version":"1.0"},"canonical_sha256":"158f6dbd7e4ab9770cf11b8e9839a15e8bc6affa271e0b9d60e322ee331f2bce","source":{"kind":"arxiv","id":"hep-th/9209088","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9209088","created_at":"2026-05-18T01:06:05Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9209088v1","created_at":"2026-05-18T01:06:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9209088","created_at":"2026-05-18T01:06:05Z"},{"alias_kind":"pith_short_12","alias_value":"CWHW3PL6JK4X","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"CWHW3PL6JK4XODHR","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"CWHW3PL6","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1992:CWHW3PL6JK4XODHRDOHJQONBL2","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9209088","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1992-09-23T09:39:00Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"456c0ac0d48336de8ee434c6361ea338f21ff538d413702abd9e02c5db7b9652","abstract_canon_sha256":"b6679623add36355ddb06dd1a59cf57a43cce8ab0efd4012a3637c4a23d3db37"},"schema_version":"1.0"},"canonical_sha256":"158f6dbd7e4ab9770cf11b8e9839a15e8bc6affa271e0b9d60e322ee331f2bce","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:06:05.124284Z","signature_b64":"3IoiCq2sUAAf3cnFyjfeFYaTl1vX9q+hhl7UOcAqSeb8Dx5A4VD7oMyX0foxY2cXHQI6ZtoxsmZiGCg82VHYDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"158f6dbd7e4ab9770cf11b8e9839a15e8bc6affa271e0b9d60e322ee331f2bce","last_reissued_at":"2026-05-18T01:06:05.123812Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:06:05.123812Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9209088","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":"2026-05-18T01:06:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QpSm89kXtcOphL7IN0ZpjyQW+Nw2+7XO6WsEj1+caCbMbBDgE3vGuOMXSeUGj3KF6YypeQghyTkgnYZXwkJLDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T04:04:45.163964Z"},"content_sha256":"440e5de87123604d2e418f490b36f78da61dab0e11842830b1949e17e21d53c3","schema_version":"1.0","event_id":"sha256:440e5de87123604d2e418f490b36f78da61dab0e11842830b1949e17e21d53c3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1992:CWHW3PL6JK4XODHRDOHJQONBL2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalized Semilocal Theories and Higher Hopf Maps","license":"","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Mark Hindmarsh, Richard Holman, Tanmay Vachaspati, Thomas W.Kephart","submitted_at":"1992-09-23T09:39:00Z","abstract_excerpt":"\\def\\mon{S^3\\stackrel{S^1}{\\rightarrow}S^2} \\def\\inst{S^7\\stackrel{S^3}{\\rightarrow}S^4} \\def\\octo{S^{15}\\stackrel{S^7}{\\rightarrow}S^8} In semilocal theories, the vacuum manifold is fibered in a non-trivial way by the action of the gauge group. Here we generalize the original semilocal theory (which was based on the Hopf bundle $\\mon$) to realize the next Hopf bundle $\\inst$, and its extensions $S^{2n+1}\\stackrel{S^3}\\rightarrow \\H P^n$. The semilocal defects in this class of theories are classified by $\\pi_3(S^3)$, and are interpreted as constrained instantons or generalized sphaleron config"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9209088","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":"2026-05-18T01:06:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OElh3ztI2jQ7LlKIQN4Cp7Gkp9gWNjO3VDw5O+4eP2q4ixdExLTt4SetkNSp6ongTVEQHo7FLzsbGkew+JRWAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T04:04:45.164489Z"},"content_sha256":"5db3dd97f5b2f87bf7871b5198da98403516150f7fb698e026ac3a4662c2df31","schema_version":"1.0","event_id":"sha256:5db3dd97f5b2f87bf7871b5198da98403516150f7fb698e026ac3a4662c2df31"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CWHW3PL6JK4XODHRDOHJQONBL2/bundle.json","state_url":"https://pith.science/pith/CWHW3PL6JK4XODHRDOHJQONBL2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CWHW3PL6JK4XODHRDOHJQONBL2/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":"2026-05-26T04:04:45Z","links":{"resolver":"https://pith.science/pith/CWHW3PL6JK4XODHRDOHJQONBL2","bundle":"https://pith.science/pith/CWHW3PL6JK4XODHRDOHJQONBL2/bundle.json","state":"https://pith.science/pith/CWHW3PL6JK4XODHRDOHJQONBL2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CWHW3PL6JK4XODHRDOHJQONBL2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1992:CWHW3PL6JK4XODHRDOHJQONBL2","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":"b6679623add36355ddb06dd1a59cf57a43cce8ab0efd4012a3637c4a23d3db37","cross_cats_sorted":["hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"1992-09-23T09:39:00Z","title_canon_sha256":"456c0ac0d48336de8ee434c6361ea338f21ff538d413702abd9e02c5db7b9652"},"schema_version":"1.0","source":{"id":"hep-th/9209088","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9209088","created_at":"2026-05-18T01:06:05Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9209088v1","created_at":"2026-05-18T01:06:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9209088","created_at":"2026-05-18T01:06:05Z"},{"alias_kind":"pith_short_12","alias_value":"CWHW3PL6JK4X","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"CWHW3PL6JK4XODHR","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"CWHW3PL6","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:5db3dd97f5b2f87bf7871b5198da98403516150f7fb698e026ac3a4662c2df31","target":"graph","created_at":"2026-05-18T01:06:05Z","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":"\\def\\mon{S^3\\stackrel{S^1}{\\rightarrow}S^2} \\def\\inst{S^7\\stackrel{S^3}{\\rightarrow}S^4} \\def\\octo{S^{15}\\stackrel{S^7}{\\rightarrow}S^8} In semilocal theories, the vacuum manifold is fibered in a non-trivial way by the action of the gauge group. Here we generalize the original semilocal theory (which was based on the Hopf bundle $\\mon$) to realize the next Hopf bundle $\\inst$, and its extensions $S^{2n+1}\\stackrel{S^3}\\rightarrow \\H P^n$. The semilocal defects in this class of theories are classified by $\\pi_3(S^3)$, and are interpreted as constrained instantons or generalized sphaleron config","authors_text":"Mark Hindmarsh, Richard Holman, Tanmay Vachaspati, Thomas W.Kephart","cross_cats":["hep-ph"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1992-09-23T09:39:00Z","title":"Generalized Semilocal Theories and Higher Hopf Maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9209088","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":"sha256:440e5de87123604d2e418f490b36f78da61dab0e11842830b1949e17e21d53c3","target":"record","created_at":"2026-05-18T01:06:05Z","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":"b6679623add36355ddb06dd1a59cf57a43cce8ab0efd4012a3637c4a23d3db37","cross_cats_sorted":["hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"1992-09-23T09:39:00Z","title_canon_sha256":"456c0ac0d48336de8ee434c6361ea338f21ff538d413702abd9e02c5db7b9652"},"schema_version":"1.0","source":{"id":"hep-th/9209088","kind":"arxiv","version":1}},"canonical_sha256":"158f6dbd7e4ab9770cf11b8e9839a15e8bc6affa271e0b9d60e322ee331f2bce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"158f6dbd7e4ab9770cf11b8e9839a15e8bc6affa271e0b9d60e322ee331f2bce","first_computed_at":"2026-05-18T01:06:05.123812Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:05.123812Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3IoiCq2sUAAf3cnFyjfeFYaTl1vX9q+hhl7UOcAqSeb8Dx5A4VD7oMyX0foxY2cXHQI6ZtoxsmZiGCg82VHYDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:05.124284Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9209088","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:440e5de87123604d2e418f490b36f78da61dab0e11842830b1949e17e21d53c3","sha256:5db3dd97f5b2f87bf7871b5198da98403516150f7fb698e026ac3a4662c2df31"],"state_sha256":"da025b76ef8505f970b7e6f4b9cc91e0e018133a434943947378cf023f648f0b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V3Wn4w2nqxlbRtUtI9BVwqmMqabpuEbtjogqq49qPUxQ5dxT7UEj72eefgcXBk7ehIZpjbf16kV/H8Jze0huAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T04:04:45.169301Z","bundle_sha256":"65dbee813922a5682590737d4ba91b016f882b9dd329a34064e1c1110da2de5e"}}