{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:Y3BWGWSEZ3WWZNLZWLB4NJIRYK","short_pith_number":"pith:Y3BWGWSE","canonical_record":{"source":{"id":"2006.13936","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-06-24T18:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"a74c29c261f3b1b1f5766d0044e8d01d19038ae921b7e116fbbe90a1616b89b3","abstract_canon_sha256":"5871e01f6e36da62a62dd54d0012a1fd8720928afd0b8d949c82c73399c9e2af"},"schema_version":"1.0"},"canonical_sha256":"c6c3635a44ceed6cb579b2c3c6a511c2877ac719fd5a59682ff0eb57240272e9","source":{"kind":"arxiv","id":"2006.13936","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.13936","created_at":"2026-07-05T01:54:45Z"},{"alias_kind":"arxiv_version","alias_value":"2006.13936v2","created_at":"2026-07-05T01:54:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.13936","created_at":"2026-07-05T01:54:45Z"},{"alias_kind":"pith_short_12","alias_value":"Y3BWGWSEZ3WW","created_at":"2026-07-05T01:54:45Z"},{"alias_kind":"pith_short_16","alias_value":"Y3BWGWSEZ3WWZNLZ","created_at":"2026-07-05T01:54:45Z"},{"alias_kind":"pith_short_8","alias_value":"Y3BWGWSE","created_at":"2026-07-05T01:54:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:Y3BWGWSEZ3WWZNLZWLB4NJIRYK","target":"record","payload":{"canonical_record":{"source":{"id":"2006.13936","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-06-24T18:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"a74c29c261f3b1b1f5766d0044e8d01d19038ae921b7e116fbbe90a1616b89b3","abstract_canon_sha256":"5871e01f6e36da62a62dd54d0012a1fd8720928afd0b8d949c82c73399c9e2af"},"schema_version":"1.0"},"canonical_sha256":"c6c3635a44ceed6cb579b2c3c6a511c2877ac719fd5a59682ff0eb57240272e9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:54:45.374660Z","signature_b64":"NG/oq6ES2bWnmO1rGVCsv3RvXh1Kaf/lNkt6+7R8M9W3HuxkEXmlAGrDBS9Gs+dQWVGV82WIHWpV6M2NNNQEBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c6c3635a44ceed6cb579b2c3c6a511c2877ac719fd5a59682ff0eb57240272e9","last_reissued_at":"2026-07-05T01:54:45.374200Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:54:45.374200Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2006.13936","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":"2026-07-05T01:54:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DENCfvQFeJ0yE+XBKIH7WoyQxIuu7irMtppqpiEAADkv+0MRO+uuhmTDf65FILSGBvPYEqnPG82ceV8PDdQYBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T01:09:57.543214Z"},"content_sha256":"9a6acf893b7ac49dd8f3cd818276ce02b56e4f726a2393b2b26cf25dc8a9e25d","schema_version":"1.0","event_id":"sha256:9a6acf893b7ac49dd8f3cd818276ce02b56e4f726a2393b2b26cf25dc8a9e25d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:Y3BWGWSEZ3WWZNLZWLB4NJIRYK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Realizing unification in two different SO(10) models with one intermediate breaking scale","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Erik S\\\"onnerlind, Marcus Pernow, Tommy Ohlsson","submitted_at":"2020-06-24T18:00:00Z","abstract_excerpt":"We derive the threshold corrections in $\\mathrm{SO}(10)$ grand unified models with the intermediate symmetry being flipped $\\mathrm{SU}(5)\\times\\mathrm{U}(1)$ or $\\mathrm{SU}(3)\\times\\mathrm{SU}(2)\\times\\mathrm{U}(1)\\times\\mathrm{U}(1)$, with the masses of the scalar fields set by the survival hypothesis. These models do not achieve gauge coupling unification if the matching conditions do not take threshold corrections into account. We present results showing the required size of threshold corrections for any value of the intermediate and unification scales. In particular, our results demonstr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.13936","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2006.13936/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T01:54:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7l+mUDDUhUgzkSG7YghUkClC9jQ7PDdVBoYDAlW4/+y+1Q9ZJAjC3HRzcwDnAq0w9P4IKuta7dvkZQZbuk0IAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T01:09:57.544269Z"},"content_sha256":"16a7a0bb294ace237ce36820e30d26754134b1fd346bbe36b5c5fc028ea66242","schema_version":"1.0","event_id":"sha256:16a7a0bb294ace237ce36820e30d26754134b1fd346bbe36b5c5fc028ea66242"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y3BWGWSEZ3WWZNLZWLB4NJIRYK/bundle.json","state_url":"https://pith.science/pith/Y3BWGWSEZ3WWZNLZWLB4NJIRYK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y3BWGWSEZ3WWZNLZWLB4NJIRYK/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":"2026-08-04T01:09:57Z","links":{"resolver":"https://pith.science/pith/Y3BWGWSEZ3WWZNLZWLB4NJIRYK","bundle":"https://pith.science/pith/Y3BWGWSEZ3WWZNLZWLB4NJIRYK/bundle.json","state":"https://pith.science/pith/Y3BWGWSEZ3WWZNLZWLB4NJIRYK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y3BWGWSEZ3WWZNLZWLB4NJIRYK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:Y3BWGWSEZ3WWZNLZWLB4NJIRYK","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":"5871e01f6e36da62a62dd54d0012a1fd8720928afd0b8d949c82c73399c9e2af","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-06-24T18:00:00Z","title_canon_sha256":"a74c29c261f3b1b1f5766d0044e8d01d19038ae921b7e116fbbe90a1616b89b3"},"schema_version":"1.0","source":{"id":"2006.13936","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.13936","created_at":"2026-07-05T01:54:45Z"},{"alias_kind":"arxiv_version","alias_value":"2006.13936v2","created_at":"2026-07-05T01:54:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.13936","created_at":"2026-07-05T01:54:45Z"},{"alias_kind":"pith_short_12","alias_value":"Y3BWGWSEZ3WW","created_at":"2026-07-05T01:54:45Z"},{"alias_kind":"pith_short_16","alias_value":"Y3BWGWSEZ3WWZNLZ","created_at":"2026-07-05T01:54:45Z"},{"alias_kind":"pith_short_8","alias_value":"Y3BWGWSE","created_at":"2026-07-05T01:54:45Z"}],"graph_snapshots":[{"event_id":"sha256:16a7a0bb294ace237ce36820e30d26754134b1fd346bbe36b5c5fc028ea66242","target":"graph","created_at":"2026-07-05T01:54:45Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2006.13936/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We derive the threshold corrections in $\\mathrm{SO}(10)$ grand unified models with the intermediate symmetry being flipped $\\mathrm{SU}(5)\\times\\mathrm{U}(1)$ or $\\mathrm{SU}(3)\\times\\mathrm{SU}(2)\\times\\mathrm{U}(1)\\times\\mathrm{U}(1)$, with the masses of the scalar fields set by the survival hypothesis. These models do not achieve gauge coupling unification if the matching conditions do not take threshold corrections into account. We present results showing the required size of threshold corrections for any value of the intermediate and unification scales. In particular, our results demonstr","authors_text":"Erik S\\\"onnerlind, Marcus Pernow, Tommy Ohlsson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-06-24T18:00:00Z","title":"Realizing unification in two different SO(10) models with one intermediate breaking scale"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.13936","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":"sha256:9a6acf893b7ac49dd8f3cd818276ce02b56e4f726a2393b2b26cf25dc8a9e25d","target":"record","created_at":"2026-07-05T01:54:45Z","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":"5871e01f6e36da62a62dd54d0012a1fd8720928afd0b8d949c82c73399c9e2af","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-06-24T18:00:00Z","title_canon_sha256":"a74c29c261f3b1b1f5766d0044e8d01d19038ae921b7e116fbbe90a1616b89b3"},"schema_version":"1.0","source":{"id":"2006.13936","kind":"arxiv","version":2}},"canonical_sha256":"c6c3635a44ceed6cb579b2c3c6a511c2877ac719fd5a59682ff0eb57240272e9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c6c3635a44ceed6cb579b2c3c6a511c2877ac719fd5a59682ff0eb57240272e9","first_computed_at":"2026-07-05T01:54:45.374200Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:54:45.374200Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NG/oq6ES2bWnmO1rGVCsv3RvXh1Kaf/lNkt6+7R8M9W3HuxkEXmlAGrDBS9Gs+dQWVGV82WIHWpV6M2NNNQEBA==","signature_status":"signed_v1","signed_at":"2026-07-05T01:54:45.374660Z","signed_message":"canonical_sha256_bytes"},"source_id":"2006.13936","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9a6acf893b7ac49dd8f3cd818276ce02b56e4f726a2393b2b26cf25dc8a9e25d","sha256:16a7a0bb294ace237ce36820e30d26754134b1fd346bbe36b5c5fc028ea66242"],"state_sha256":"dd58ac30a44d8b56d336a381f4af1ba363c247b2fa41b9f0b5fd31ed3cf587b6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TmIUkGLjWplvpj4f+n6l4GXye/e0Za9rjBIzcokhT9bY5z6k/fNrR91WfHl/s6IcN6f9cJYrDOR3k7AW6fNSDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T01:09:57.551189Z","bundle_sha256":"d088271be5b22ebc0fec275cebc7f1131e24ebdfae4b8553703a9df9c82d23d5"}}