{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:VAJF6X34FZNXEMIXQCPSJ6N3JO","short_pith_number":"pith:VAJF6X34","canonical_record":{"source":{"id":"hep-th/0108034","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2001-08-07T01:56:23Z","cross_cats_sorted":[],"title_canon_sha256":"312d7ac44922992f315791c03ff4964ca26d0fa339156403cc7c4368c6b2a7c1","abstract_canon_sha256":"4bbacf682b3a4441ba057ceb2ed43f46cba2d62b861996f37d89589b9661a9ba"},"schema_version":"1.0"},"canonical_sha256":"a8125f5f7c2e5b723117809f24f9bb4b97c0691f3f0394a3214ce715449889d9","source":{"kind":"arxiv","id":"hep-th/0108034","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0108034","created_at":"2026-05-18T00:36:53Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0108034v1","created_at":"2026-05-18T00:36:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0108034","created_at":"2026-05-18T00:36:53Z"},{"alias_kind":"pith_short_12","alias_value":"VAJF6X34FZNX","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"VAJF6X34FZNXEMIX","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"VAJF6X34","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:VAJF6X34FZNXEMIXQCPSJ6N3JO","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0108034","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2001-08-07T01:56:23Z","cross_cats_sorted":[],"title_canon_sha256":"312d7ac44922992f315791c03ff4964ca26d0fa339156403cc7c4368c6b2a7c1","abstract_canon_sha256":"4bbacf682b3a4441ba057ceb2ed43f46cba2d62b861996f37d89589b9661a9ba"},"schema_version":"1.0"},"canonical_sha256":"a8125f5f7c2e5b723117809f24f9bb4b97c0691f3f0394a3214ce715449889d9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:36:53.901232Z","signature_b64":"B9+eh6T/9bhip9a0bd4anXYLMSoSRwYoGjrivLG7fJEQpBjy3EaELdPVrTB7kCAySTyAvFN5ZJw8kFZrRExSDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a8125f5f7c2e5b723117809f24f9bb4b97c0691f3f0394a3214ce715449889d9","last_reissued_at":"2026-05-18T00:36:53.900830Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:36:53.900830Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0108034","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":"2026-05-18T00:36:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"okUcDuQhkgEqjUfFuTBJ8UMzSZp5RgUAvN8OoIT1rKv+vgnAq60g7yQ/qre+yMRPhsI7FkWK3cigYS+1e2viCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T03:38:36.447864Z"},"content_sha256":"1342260bd5804a9e6d18ea7a1af534e5542d68fed9fc2375d95c6fbd2c2d263a","schema_version":"1.0","event_id":"sha256:1342260bd5804a9e6d18ea7a1af534e5542d68fed9fc2375d95c6fbd2c2d263a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:VAJF6X34FZNXEMIXQCPSJ6N3JO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mass Generation, Ghost Condensation and Broken Symmetry: SU(2) in Covariant Abelian Gauges","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Martin Schaden","submitted_at":"2001-08-07T01:56:23Z","abstract_excerpt":"The local action of an SU(2) gauge theory in general covariant Abelian gauges and the associated equivariant BRST symmetry that guarantees the perturbative renormalizability of the model are given. A global SL(2,R) symmetry of the model is spontaneously broken by ghost-antighost condensation at arbitrarily small coupling. This leads to propagators that are finite at Euclidean momenta for all elementary fields except the Abelian ``photon''. Ward Identities show that the symmetry breaking gives rise to massless BRST-quartets with ghost numbers (1,2,-2,-1) and (0,1,-1,0). The latter quartet is in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0108034","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":"2026-05-18T00:36:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xtw8Lx0yH8+JHIZg1D/IVqpVUrriSqjhzHY8SU/LEuTl6dAe2/k2lmNGekLNWVeWuFigCOWmGb16r+unKGTqCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T03:38:36.448208Z"},"content_sha256":"278ad39adc9227303059dfaa8f8660716c4677bec8d463f44c46e95eb8757264","schema_version":"1.0","event_id":"sha256:278ad39adc9227303059dfaa8f8660716c4677bec8d463f44c46e95eb8757264"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VAJF6X34FZNXEMIXQCPSJ6N3JO/bundle.json","state_url":"https://pith.science/pith/VAJF6X34FZNXEMIXQCPSJ6N3JO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VAJF6X34FZNXEMIXQCPSJ6N3JO/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":"2026-06-03T03:38:36Z","links":{"resolver":"https://pith.science/pith/VAJF6X34FZNXEMIXQCPSJ6N3JO","bundle":"https://pith.science/pith/VAJF6X34FZNXEMIXQCPSJ6N3JO/bundle.json","state":"https://pith.science/pith/VAJF6X34FZNXEMIXQCPSJ6N3JO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VAJF6X34FZNXEMIXQCPSJ6N3JO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:VAJF6X34FZNXEMIXQCPSJ6N3JO","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":"4bbacf682b3a4441ba057ceb2ed43f46cba2d62b861996f37d89589b9661a9ba","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2001-08-07T01:56:23Z","title_canon_sha256":"312d7ac44922992f315791c03ff4964ca26d0fa339156403cc7c4368c6b2a7c1"},"schema_version":"1.0","source":{"id":"hep-th/0108034","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0108034","created_at":"2026-05-18T00:36:53Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0108034v1","created_at":"2026-05-18T00:36:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0108034","created_at":"2026-05-18T00:36:53Z"},{"alias_kind":"pith_short_12","alias_value":"VAJF6X34FZNX","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"VAJF6X34FZNXEMIX","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"VAJF6X34","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:278ad39adc9227303059dfaa8f8660716c4677bec8d463f44c46e95eb8757264","target":"graph","created_at":"2026-05-18T00:36:53Z","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 local action of an SU(2) gauge theory in general covariant Abelian gauges and the associated equivariant BRST symmetry that guarantees the perturbative renormalizability of the model are given. A global SL(2,R) symmetry of the model is spontaneously broken by ghost-antighost condensation at arbitrarily small coupling. This leads to propagators that are finite at Euclidean momenta for all elementary fields except the Abelian ``photon''. Ward Identities show that the symmetry breaking gives rise to massless BRST-quartets with ghost numbers (1,2,-2,-1) and (0,1,-1,0). The latter quartet is in","authors_text":"Martin Schaden","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2001-08-07T01:56:23Z","title":"Mass Generation, Ghost Condensation and Broken Symmetry: SU(2) in Covariant Abelian Gauges"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0108034","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":"sha256:1342260bd5804a9e6d18ea7a1af534e5542d68fed9fc2375d95c6fbd2c2d263a","target":"record","created_at":"2026-05-18T00:36:53Z","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":"4bbacf682b3a4441ba057ceb2ed43f46cba2d62b861996f37d89589b9661a9ba","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2001-08-07T01:56:23Z","title_canon_sha256":"312d7ac44922992f315791c03ff4964ca26d0fa339156403cc7c4368c6b2a7c1"},"schema_version":"1.0","source":{"id":"hep-th/0108034","kind":"arxiv","version":1}},"canonical_sha256":"a8125f5f7c2e5b723117809f24f9bb4b97c0691f3f0394a3214ce715449889d9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a8125f5f7c2e5b723117809f24f9bb4b97c0691f3f0394a3214ce715449889d9","first_computed_at":"2026-05-18T00:36:53.900830Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:36:53.900830Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"B9+eh6T/9bhip9a0bd4anXYLMSoSRwYoGjrivLG7fJEQpBjy3EaELdPVrTB7kCAySTyAvFN5ZJw8kFZrRExSDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:36:53.901232Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0108034","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1342260bd5804a9e6d18ea7a1af534e5542d68fed9fc2375d95c6fbd2c2d263a","sha256:278ad39adc9227303059dfaa8f8660716c4677bec8d463f44c46e95eb8757264"],"state_sha256":"2767d42d290aa27897890a1243561b2e77cd51052c5975ef52a4c780f65c48db"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VsKvsrfy6lXDtkZOuT7oEDU9Ox1EIjI5/uUs1wCQB3JkYR+6j00BUlgMg1a4uwFkwm3b3SkYlW4DpSMPkjDiBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T03:38:36.450417Z","bundle_sha256":"21a89c46b02db503f862c813986fb2e06e9b83a57f3c07e713d96943cbc0ec37"}}