{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:SGGXSRMSBHSVGZIVR5GSJ3LB6N","short_pith_number":"pith:SGGXSRMS","canonical_record":{"source":{"id":"1312.2280","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-12-08T23:28:06Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"c1cb6792fc018468deac39c42b4792656670402a6c9bff8a68d1643f822e4d90","abstract_canon_sha256":"d2f1fbd875dfcf6a48ebfd99275f3ad7c875f55764c3ac60690e47043ce0e1ed"},"schema_version":"1.0"},"canonical_sha256":"918d79459209e55365158f4d24ed61f3539f9329f7f1cc8317a1325420003a6c","source":{"kind":"arxiv","id":"1312.2280","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.2280","created_at":"2026-05-18T00:53:24Z"},{"alias_kind":"arxiv_version","alias_value":"1312.2280v2","created_at":"2026-05-18T00:53:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.2280","created_at":"2026-05-18T00:53:24Z"},{"alias_kind":"pith_short_12","alias_value":"SGGXSRMSBHSV","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"SGGXSRMSBHSVGZIV","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"SGGXSRMS","created_at":"2026-05-18T12:27:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:SGGXSRMSBHSVGZIVR5GSJ3LB6N","target":"record","payload":{"canonical_record":{"source":{"id":"1312.2280","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-12-08T23:28:06Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"c1cb6792fc018468deac39c42b4792656670402a6c9bff8a68d1643f822e4d90","abstract_canon_sha256":"d2f1fbd875dfcf6a48ebfd99275f3ad7c875f55764c3ac60690e47043ce0e1ed"},"schema_version":"1.0"},"canonical_sha256":"918d79459209e55365158f4d24ed61f3539f9329f7f1cc8317a1325420003a6c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:53:24.859325Z","signature_b64":"CFHcs72lPErlElE7HRtJ+exkVnDj7dzyXmzHIM/9CkoGmryDNgL+laAn3kuhDcYwt50x1hT8gA71bC9Dg9dzBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"918d79459209e55365158f4d24ed61f3539f9329f7f1cc8317a1325420003a6c","last_reissued_at":"2026-05-18T00:53:24.858892Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:53:24.858892Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.2280","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":"2026-05-18T00:53:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UzEUcGqn/l4xCKq1yiImnvDirEIKhIEfgVobij1MuUpYQ4lFRusMPbZboXL0wYPSnemIbxN17CKFzHolWh+wBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T14:32:02.672049Z"},"content_sha256":"e5d1c2422135b47f98255a307ed0aad20602b54d8db000e69eae45b85de1e068","schema_version":"1.0","event_id":"sha256:e5d1c2422135b47f98255a307ed0aad20602b54d8db000e69eae45b85de1e068"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:SGGXSRMSBHSVGZIVR5GSJ3LB6N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Conformal inversion and Maxwell field invariants in four- and six-dimensional spacetimes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Gerald A. Goldin, Steven Duplij, Vladimir Shtelen","submitted_at":"2013-12-08T23:28:06Z","abstract_excerpt":"Conformally compactified (3+1)-dimensional Minkowski spacetime may be identified with the projective light cone in (4+2)-dimensional spacetime. In the latter spacetime the special conformal group acts via rotations and boosts, and conformal inversion acts via reflection in a single coordinate. Hexaspherical coordinates facilitate dimensional reduction of Maxwell electromagnetic field strength tensors to (3+1) from (4 + 2) dimensions. Here we focus on the operation of conformal inversion in different coordinatizations, and write some useful equations. We then write a conformal invariant and a p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.2280","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":"2026-05-18T00:53:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n9e7ygc3Eh7p5lekujHvfb7+zTvw4aVtgD5uxcjYvbPNCyrChPbOkjt2wGAQPgzomSTvJ+EhRtwrzhmlZjMxDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T14:32:02.672410Z"},"content_sha256":"9e6f6ffea3b8b1a2f3d69eb06750eb03c6c5dbfa3b1102a5208816f33b76a1e1","schema_version":"1.0","event_id":"sha256:9e6f6ffea3b8b1a2f3d69eb06750eb03c6c5dbfa3b1102a5208816f33b76a1e1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SGGXSRMSBHSVGZIVR5GSJ3LB6N/bundle.json","state_url":"https://pith.science/pith/SGGXSRMSBHSVGZIVR5GSJ3LB6N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SGGXSRMSBHSVGZIVR5GSJ3LB6N/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":"2026-07-03T14:32:02Z","links":{"resolver":"https://pith.science/pith/SGGXSRMSBHSVGZIVR5GSJ3LB6N","bundle":"https://pith.science/pith/SGGXSRMSBHSVGZIVR5GSJ3LB6N/bundle.json","state":"https://pith.science/pith/SGGXSRMSBHSVGZIVR5GSJ3LB6N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SGGXSRMSBHSVGZIVR5GSJ3LB6N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:SGGXSRMSBHSVGZIVR5GSJ3LB6N","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":"d2f1fbd875dfcf6a48ebfd99275f3ad7c875f55764c3ac60690e47043ce0e1ed","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-12-08T23:28:06Z","title_canon_sha256":"c1cb6792fc018468deac39c42b4792656670402a6c9bff8a68d1643f822e4d90"},"schema_version":"1.0","source":{"id":"1312.2280","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.2280","created_at":"2026-05-18T00:53:24Z"},{"alias_kind":"arxiv_version","alias_value":"1312.2280v2","created_at":"2026-05-18T00:53:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.2280","created_at":"2026-05-18T00:53:24Z"},{"alias_kind":"pith_short_12","alias_value":"SGGXSRMSBHSV","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"SGGXSRMSBHSVGZIV","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"SGGXSRMS","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:9e6f6ffea3b8b1a2f3d69eb06750eb03c6c5dbfa3b1102a5208816f33b76a1e1","target":"graph","created_at":"2026-05-18T00:53:24Z","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":"Conformally compactified (3+1)-dimensional Minkowski spacetime may be identified with the projective light cone in (4+2)-dimensional spacetime. In the latter spacetime the special conformal group acts via rotations and boosts, and conformal inversion acts via reflection in a single coordinate. Hexaspherical coordinates facilitate dimensional reduction of Maxwell electromagnetic field strength tensors to (3+1) from (4 + 2) dimensions. Here we focus on the operation of conformal inversion in different coordinatizations, and write some useful equations. We then write a conformal invariant and a p","authors_text":"Gerald A. Goldin, Steven Duplij, Vladimir Shtelen","cross_cats":["gr-qc","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-12-08T23:28:06Z","title":"Conformal inversion and Maxwell field invariants in four- and six-dimensional spacetimes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.2280","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:e5d1c2422135b47f98255a307ed0aad20602b54d8db000e69eae45b85de1e068","target":"record","created_at":"2026-05-18T00:53:24Z","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":"d2f1fbd875dfcf6a48ebfd99275f3ad7c875f55764c3ac60690e47043ce0e1ed","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-12-08T23:28:06Z","title_canon_sha256":"c1cb6792fc018468deac39c42b4792656670402a6c9bff8a68d1643f822e4d90"},"schema_version":"1.0","source":{"id":"1312.2280","kind":"arxiv","version":2}},"canonical_sha256":"918d79459209e55365158f4d24ed61f3539f9329f7f1cc8317a1325420003a6c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"918d79459209e55365158f4d24ed61f3539f9329f7f1cc8317a1325420003a6c","first_computed_at":"2026-05-18T00:53:24.858892Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:24.858892Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CFHcs72lPErlElE7HRtJ+exkVnDj7dzyXmzHIM/9CkoGmryDNgL+laAn3kuhDcYwt50x1hT8gA71bC9Dg9dzBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:24.859325Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.2280","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e5d1c2422135b47f98255a307ed0aad20602b54d8db000e69eae45b85de1e068","sha256:9e6f6ffea3b8b1a2f3d69eb06750eb03c6c5dbfa3b1102a5208816f33b76a1e1"],"state_sha256":"2697ddf283f7780e01ea6fdb5dc5d45698a3e3a00bbf581d9fbfe95dc532964b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7wD1eeLCplnam3f4WySQoF65U+tFnRrEZKpHDNLFNbAKatTtmbTuBRzyrkyw+6MLSRAYD2umv4QsUGKV2AJQAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T14:32:02.674259Z","bundle_sha256":"7e8933ccc1ee3e0a9055ef5407f9e57f43b55d3c1edb7efa6e5fd512a9f85bb0"}}