{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:UKYZZTUZJ2CLHNEWP63X256GKV","short_pith_number":"pith:UKYZZTUZ","canonical_record":{"source":{"id":"gr-qc/0412098","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2004-12-21T09:41:43Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"f9f45f656fced8a53f7b6212f63a636358b5305a7cc8b9bd11a39ce75105a122","abstract_canon_sha256":"b858378b3dd0a0bd0f1215fd80c96b4f4e71f3b7fcb77b658c3d4a9a365a0d81"},"schema_version":"1.0"},"canonical_sha256":"a2b19cce994e84b3b4967fb77d77c655703b48001d642d7661311f169529ba3c","source":{"kind":"arxiv","id":"gr-qc/0412098","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0412098","created_at":"2026-05-18T04:35:34Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0412098v1","created_at":"2026-05-18T04:35:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0412098","created_at":"2026-05-18T04:35:34Z"},{"alias_kind":"pith_short_12","alias_value":"UKYZZTUZJ2CL","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"UKYZZTUZJ2CLHNEW","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"UKYZZTUZ","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:UKYZZTUZJ2CLHNEWP63X256GKV","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0412098","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2004-12-21T09:41:43Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"f9f45f656fced8a53f7b6212f63a636358b5305a7cc8b9bd11a39ce75105a122","abstract_canon_sha256":"b858378b3dd0a0bd0f1215fd80c96b4f4e71f3b7fcb77b658c3d4a9a365a0d81"},"schema_version":"1.0"},"canonical_sha256":"a2b19cce994e84b3b4967fb77d77c655703b48001d642d7661311f169529ba3c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:35:34.548638Z","signature_b64":"lnZiMs6e92pD/16sOhBJPDN8+ahaCXfw+aO9M/j6FjB57BzoYrZZOMhOwhWVXDvrsPoq3pdYJva4u347KZ3+AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a2b19cce994e84b3b4967fb77d77c655703b48001d642d7661311f169529ba3c","last_reissued_at":"2026-05-18T04:35:34.548167Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:35:34.548167Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0412098","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":"2026-05-18T04:35:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v/boUZ1Tn+w5WQzMV8JGiv1N0Uu1E/aFPIVB7kVWfXuzTMmIYSH7zSxWKHnByQSF+Lua5YS79Ws/jwR8EJmBCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:59:41.057849Z"},"content_sha256":"cea1fb95b4812439fffa51414f3c31695e2d2804bbfbc58292f4000a1762c174","schema_version":"1.0","event_id":"sha256:cea1fb95b4812439fffa51414f3c31695e2d2804bbfbc58292f4000a1762c174"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:UKYZZTUZJ2CLHNEWP63X256GKV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Spherically Symmetric Standard Model with Gravity","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Christian G. Boehmer, Daniel Grumiller, Herbert Balasin","submitted_at":"2004-12-21T09:41:43Z","abstract_excerpt":"Spherical reduction of generic four-dimensional theories is revisited. Three different notions of \"spherical symmetry\" are defined. The following sectors are investigated: Einstein-Cartan theory, spinors, (non-)abelian gauge fields and scalar fields. In each sector a different formalism seems to be most convenient: the Cartan formulation of gravity works best in the purely gravitational sector, the Einstein formulation is convenient for the Yang-Mills sector and for reducing scalar fields, and the Newman-Penrose formalism seems to be the most transparent one in the fermionic sector. Combining "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0412098","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":"2026-05-18T04:35:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZcfwduneImaCaAFOXVMx1i+4h8yI0JDJ/7vUnMlgPceJVJ0TPWi+qj+f9KNKvRz+1dZZecmZ1mlZ0K06lTRvAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:59:41.058594Z"},"content_sha256":"a58becc32d69a2b23dcea115f6c9b9c293edccfa38ba68e96a127c2abf7b8319","schema_version":"1.0","event_id":"sha256:a58becc32d69a2b23dcea115f6c9b9c293edccfa38ba68e96a127c2abf7b8319"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UKYZZTUZJ2CLHNEWP63X256GKV/bundle.json","state_url":"https://pith.science/pith/UKYZZTUZJ2CLHNEWP63X256GKV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UKYZZTUZJ2CLHNEWP63X256GKV/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":"2026-05-31T12:59:41Z","links":{"resolver":"https://pith.science/pith/UKYZZTUZJ2CLHNEWP63X256GKV","bundle":"https://pith.science/pith/UKYZZTUZJ2CLHNEWP63X256GKV/bundle.json","state":"https://pith.science/pith/UKYZZTUZJ2CLHNEWP63X256GKV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UKYZZTUZJ2CLHNEWP63X256GKV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:UKYZZTUZJ2CLHNEWP63X256GKV","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":"b858378b3dd0a0bd0f1215fd80c96b4f4e71f3b7fcb77b658c3d4a9a365a0d81","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2004-12-21T09:41:43Z","title_canon_sha256":"f9f45f656fced8a53f7b6212f63a636358b5305a7cc8b9bd11a39ce75105a122"},"schema_version":"1.0","source":{"id":"gr-qc/0412098","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0412098","created_at":"2026-05-18T04:35:34Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0412098v1","created_at":"2026-05-18T04:35:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0412098","created_at":"2026-05-18T04:35:34Z"},{"alias_kind":"pith_short_12","alias_value":"UKYZZTUZJ2CL","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"UKYZZTUZJ2CLHNEW","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"UKYZZTUZ","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:a58becc32d69a2b23dcea115f6c9b9c293edccfa38ba68e96a127c2abf7b8319","target":"graph","created_at":"2026-05-18T04:35:34Z","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":"Spherical reduction of generic four-dimensional theories is revisited. Three different notions of \"spherical symmetry\" are defined. The following sectors are investigated: Einstein-Cartan theory, spinors, (non-)abelian gauge fields and scalar fields. In each sector a different formalism seems to be most convenient: the Cartan formulation of gravity works best in the purely gravitational sector, the Einstein formulation is convenient for the Yang-Mills sector and for reducing scalar fields, and the Newman-Penrose formalism seems to be the most transparent one in the fermionic sector. Combining ","authors_text":"Christian G. Boehmer, Daniel Grumiller, Herbert Balasin","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2004-12-21T09:41:43Z","title":"The Spherically Symmetric Standard Model with Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0412098","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:cea1fb95b4812439fffa51414f3c31695e2d2804bbfbc58292f4000a1762c174","target":"record","created_at":"2026-05-18T04:35:34Z","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":"b858378b3dd0a0bd0f1215fd80c96b4f4e71f3b7fcb77b658c3d4a9a365a0d81","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2004-12-21T09:41:43Z","title_canon_sha256":"f9f45f656fced8a53f7b6212f63a636358b5305a7cc8b9bd11a39ce75105a122"},"schema_version":"1.0","source":{"id":"gr-qc/0412098","kind":"arxiv","version":1}},"canonical_sha256":"a2b19cce994e84b3b4967fb77d77c655703b48001d642d7661311f169529ba3c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a2b19cce994e84b3b4967fb77d77c655703b48001d642d7661311f169529ba3c","first_computed_at":"2026-05-18T04:35:34.548167Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:35:34.548167Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lnZiMs6e92pD/16sOhBJPDN8+ahaCXfw+aO9M/j6FjB57BzoYrZZOMhOwhWVXDvrsPoq3pdYJva4u347KZ3+AA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:35:34.548638Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0412098","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cea1fb95b4812439fffa51414f3c31695e2d2804bbfbc58292f4000a1762c174","sha256:a58becc32d69a2b23dcea115f6c9b9c293edccfa38ba68e96a127c2abf7b8319"],"state_sha256":"ab6f9174029680daac79a264bf7404f4cbbc705e2965167ff91eff925b6bbab3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fapsEl/bqn0GBJdxss+8MtEFbOtBZRmM3rCowlDdCChwxt4zShfQOIi7SeGO3zmeb2tuf8SIhU3vAFE7Rm0WCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T12:59:41.062131Z","bundle_sha256":"1455bdd3236771254bfa85030f959ea5bc69eee282a14077098e3b5069acc830"}}