{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:Q2IYKWSGMOOAJDMZVRFK75EL4N","short_pith_number":"pith:Q2IYKWSG","canonical_record":{"source":{"id":"2310.03310","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"nucl-th","submitted_at":"2023-10-05T04:51:28Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"b81897a6b6aa0a25eae95b596c8ee0ddbc1a570840aaa38f59950464b4027af8","abstract_canon_sha256":"51a2d99317bdd4dff789619baf81f6569100f2a7bfd828b5e026c79060109abb"},"schema_version":"1.0"},"canonical_sha256":"8691855a46639c048d99ac4aaff48be3691f9f05961f0d93d1d0f627315d69d8","source":{"kind":"arxiv","id":"2310.03310","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.03310","created_at":"2026-07-05T07:28:11Z"},{"alias_kind":"arxiv_version","alias_value":"2310.03310v2","created_at":"2026-07-05T07:28:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.03310","created_at":"2026-07-05T07:28:11Z"},{"alias_kind":"pith_short_12","alias_value":"Q2IYKWSGMOOA","created_at":"2026-07-05T07:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"Q2IYKWSGMOOAJDMZ","created_at":"2026-07-05T07:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"Q2IYKWSG","created_at":"2026-07-05T07:28:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:Q2IYKWSGMOOAJDMZVRFK75EL4N","target":"record","payload":{"canonical_record":{"source":{"id":"2310.03310","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"nucl-th","submitted_at":"2023-10-05T04:51:28Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"b81897a6b6aa0a25eae95b596c8ee0ddbc1a570840aaa38f59950464b4027af8","abstract_canon_sha256":"51a2d99317bdd4dff789619baf81f6569100f2a7bfd828b5e026c79060109abb"},"schema_version":"1.0"},"canonical_sha256":"8691855a46639c048d99ac4aaff48be3691f9f05961f0d93d1d0f627315d69d8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:28:11.594224Z","signature_b64":"BX9PMbReUJtfmIALim4w0im2Lg9tCYgnSU/loZflKKTpJw8a5tIIhlN7B8FXydHBZXXrWaWPDf1OIq7wXQ9DDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8691855a46639c048d99ac4aaff48be3691f9f05961f0d93d1d0f627315d69d8","last_reissued_at":"2026-07-05T07:28:11.593752Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:28:11.593752Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2310.03310","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":"2026-07-05T07:28:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pMz67f7NL/rJHDLODmcSn6rE4tSACRkhuhFOe+HTAx7BbgBF9sVySwVDqe+oYKc9sv1kDfkhgyMaLU0l/VpdBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T05:56:46.690780Z"},"content_sha256":"c39727b030a325cee0de1e2ef758674b5dc7590cb11fdcc63c14f6fbde5582a4","schema_version":"1.0","event_id":"sha256:c39727b030a325cee0de1e2ef758674b5dc7590cb11fdcc63c14f6fbde5582a4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:Q2IYKWSGMOOAJDMZVRFK75EL4N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Effects of imaginary and real rotations on QCD matters","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"nucl-th","authors_text":"Gaoqing Cao","submitted_at":"2023-10-05T04:51:28Z","abstract_excerpt":"Inspired from perturbative calculations, this work introduces imaginary ($\\Omega_{\\rm I}$) and real ($\\Omega$) rotation effects to the pure $SU(3)$ gauge potentials simply through variable transformations: The empirical Polyakov loop (PL) potentials can be rewritten as functions of the imaginary chemical potentials of gluons and ghosts $(q_{\\rm ij})$, and the transformations are taken as $q_{\\rm ij}\\rightarrow q_{\\rm ij}\\pm\\Omega_{\\rm I}/T$ and $q_{\\rm ij}\\rightarrow q_{\\rm ij}\\pm i\\,\\Omega/T$, respectively. For the PL potential of Fukushima $(V_1)$, a smaller imaginary rotation $\\Omega_{\\rm I"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.03310","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/2310.03310/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":"2026-07-05T07:28:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s1lNjZEuxbgEoCefZcKcp28C1B3Ux4kHTixMwVuMPINUk37fTRHPbcdH+D6xscnNld25LJuGedqvbjKr2prKAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T05:56:46.691791Z"},"content_sha256":"90967920d66d5d37bf808f475fc35039bc66a89481973cd9c123894d83a16cd7","schema_version":"1.0","event_id":"sha256:90967920d66d5d37bf808f475fc35039bc66a89481973cd9c123894d83a16cd7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q2IYKWSGMOOAJDMZVRFK75EL4N/bundle.json","state_url":"https://pith.science/pith/Q2IYKWSGMOOAJDMZVRFK75EL4N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q2IYKWSGMOOAJDMZVRFK75EL4N/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":"2026-08-08T05:56:46Z","links":{"resolver":"https://pith.science/pith/Q2IYKWSGMOOAJDMZVRFK75EL4N","bundle":"https://pith.science/pith/Q2IYKWSGMOOAJDMZVRFK75EL4N/bundle.json","state":"https://pith.science/pith/Q2IYKWSGMOOAJDMZVRFK75EL4N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q2IYKWSGMOOAJDMZVRFK75EL4N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:Q2IYKWSGMOOAJDMZVRFK75EL4N","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":"51a2d99317bdd4dff789619baf81f6569100f2a7bfd828b5e026c79060109abb","cross_cats_sorted":["hep-ph"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"nucl-th","submitted_at":"2023-10-05T04:51:28Z","title_canon_sha256":"b81897a6b6aa0a25eae95b596c8ee0ddbc1a570840aaa38f59950464b4027af8"},"schema_version":"1.0","source":{"id":"2310.03310","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.03310","created_at":"2026-07-05T07:28:11Z"},{"alias_kind":"arxiv_version","alias_value":"2310.03310v2","created_at":"2026-07-05T07:28:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.03310","created_at":"2026-07-05T07:28:11Z"},{"alias_kind":"pith_short_12","alias_value":"Q2IYKWSGMOOA","created_at":"2026-07-05T07:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"Q2IYKWSGMOOAJDMZ","created_at":"2026-07-05T07:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"Q2IYKWSG","created_at":"2026-07-05T07:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:90967920d66d5d37bf808f475fc35039bc66a89481973cd9c123894d83a16cd7","target":"graph","created_at":"2026-07-05T07:28:11Z","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/2310.03310/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Inspired from perturbative calculations, this work introduces imaginary ($\\Omega_{\\rm I}$) and real ($\\Omega$) rotation effects to the pure $SU(3)$ gauge potentials simply through variable transformations: The empirical Polyakov loop (PL) potentials can be rewritten as functions of the imaginary chemical potentials of gluons and ghosts $(q_{\\rm ij})$, and the transformations are taken as $q_{\\rm ij}\\rightarrow q_{\\rm ij}\\pm\\Omega_{\\rm I}/T$ and $q_{\\rm ij}\\rightarrow q_{\\rm ij}\\pm i\\,\\Omega/T$, respectively. For the PL potential of Fukushima $(V_1)$, a smaller imaginary rotation $\\Omega_{\\rm I","authors_text":"Gaoqing Cao","cross_cats":["hep-ph"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"nucl-th","submitted_at":"2023-10-05T04:51:28Z","title":"Effects of imaginary and real rotations on QCD matters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.03310","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:c39727b030a325cee0de1e2ef758674b5dc7590cb11fdcc63c14f6fbde5582a4","target":"record","created_at":"2026-07-05T07:28:11Z","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":"51a2d99317bdd4dff789619baf81f6569100f2a7bfd828b5e026c79060109abb","cross_cats_sorted":["hep-ph"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"nucl-th","submitted_at":"2023-10-05T04:51:28Z","title_canon_sha256":"b81897a6b6aa0a25eae95b596c8ee0ddbc1a570840aaa38f59950464b4027af8"},"schema_version":"1.0","source":{"id":"2310.03310","kind":"arxiv","version":2}},"canonical_sha256":"8691855a46639c048d99ac4aaff48be3691f9f05961f0d93d1d0f627315d69d8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8691855a46639c048d99ac4aaff48be3691f9f05961f0d93d1d0f627315d69d8","first_computed_at":"2026-07-05T07:28:11.593752Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:28:11.593752Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BX9PMbReUJtfmIALim4w0im2Lg9tCYgnSU/loZflKKTpJw8a5tIIhlN7B8FXydHBZXXrWaWPDf1OIq7wXQ9DDw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:28:11.594224Z","signed_message":"canonical_sha256_bytes"},"source_id":"2310.03310","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c39727b030a325cee0de1e2ef758674b5dc7590cb11fdcc63c14f6fbde5582a4","sha256:90967920d66d5d37bf808f475fc35039bc66a89481973cd9c123894d83a16cd7"],"state_sha256":"8c32eb68e77401923dddf138fa815a4d3c2c1d7f975c927ad0b91393548c174d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mZQCaXZHn1VFKtDSrLCz5PWqyPovx46S2+VxIV5vioQCZVyqnvalUnihG24AF/G8QjzRP5mnd8y2d/8x/la5AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T05:56:46.697310Z","bundle_sha256":"f8c8f3699c3aeed4e27f111b174778ad67e9683657b380efd9df073605404f90"}}