{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:TYUOAQGGQ3DQWO5QTV5BPRXZSB","short_pith_number":"pith:TYUOAQGG","canonical_record":{"source":{"id":"1803.05950","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-03-15T19:00:04Z","cross_cats_sorted":[],"title_canon_sha256":"0a309c91cc404f7a6c0cbc369177426441f3c9cd2a07da1f50ca2aab9f4251b7","abstract_canon_sha256":"4d5370e37eb0a685f2491ca0a48b8ca79f012d76572bd253af91930e5f4dd1b3"},"schema_version":"1.0"},"canonical_sha256":"9e28e040c686c70b3bb09d7a17c6f99060eb63f1fcd0adb5480934936599edf3","source":{"kind":"arxiv","id":"1803.05950","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.05950","created_at":"2026-05-17T23:50:15Z"},{"alias_kind":"arxiv_version","alias_value":"1803.05950v1","created_at":"2026-05-17T23:50:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.05950","created_at":"2026-05-17T23:50:15Z"},{"alias_kind":"pith_short_12","alias_value":"TYUOAQGGQ3DQ","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"TYUOAQGGQ3DQWO5Q","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"TYUOAQGG","created_at":"2026-05-18T12:32:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:TYUOAQGGQ3DQWO5QTV5BPRXZSB","target":"record","payload":{"canonical_record":{"source":{"id":"1803.05950","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-03-15T19:00:04Z","cross_cats_sorted":[],"title_canon_sha256":"0a309c91cc404f7a6c0cbc369177426441f3c9cd2a07da1f50ca2aab9f4251b7","abstract_canon_sha256":"4d5370e37eb0a685f2491ca0a48b8ca79f012d76572bd253af91930e5f4dd1b3"},"schema_version":"1.0"},"canonical_sha256":"9e28e040c686c70b3bb09d7a17c6f99060eb63f1fcd0adb5480934936599edf3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:50:15.955212Z","signature_b64":"7URADgT5WFjrp46QZ5obzY3eYjp/nAc/0hL0le5+NGWP/cT7HbwvXqYEGzJiw5w6cSObZyQP8B8t/ACpJovuDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9e28e040c686c70b3bb09d7a17c6f99060eb63f1fcd0adb5480934936599edf3","last_reissued_at":"2026-05-17T23:50:15.954573Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:50:15.954573Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.05950","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":"2026-05-17T23:50:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1EY+RX11QpV/MvUy6M5XP0gaJV1yli9jHYk9hRXnKrIUQPwrPBCSaqCt2nkRSXKNY4Q2lkvbvlegG7/8TwxpDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T00:08:47.354308Z"},"content_sha256":"7cca14e7a4401213a2a2a753e059cb294b917d8ef44b68d6b793be816bb9203e","schema_version":"1.0","event_id":"sha256:7cca14e7a4401213a2a2a753e059cb294b917d8ef44b68d6b793be816bb9203e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:TYUOAQGGQ3DQWO5QTV5BPRXZSB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The fermion-boson map for large d","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Anastasios C. Petkou, Evangelos G. Filothodoros, Nicholas D. Vlachos","submitted_at":"2018-03-15T19:00:04Z","abstract_excerpt":"We show that the three-dimensional map between fermions and bosons at finite temperature generalises for all odd dimensions $d>3$. We further argue that such a map has a nontrivial large $d$ limit. Evidence comes from studying the gap equations, the free energies and the partition functions of the $U(N)$ Gross-Neveu and CP$^{N-1}$ models for odd $d\\geq 3$ in the presence of imaginary chemical potential. We find that the gap equations and the free energies can be written in terms of the Bloch-Wigner-Ramakrishnan $D_d(z)$ functions analysed by Zagier. Since $D_2(z)$ gives the volume of ideal tet"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.05950","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":"2026-05-17T23:50:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZkA6iX1Ayxw65kLjxdqnVmAxRTe37I2pERUw5d33prscfZis/vRr4Gead2i3XcyWd0eWm76q2k0QlKN6ZVANCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T00:08:47.354958Z"},"content_sha256":"f1cec3d685e1d71ec347149a2f342b198e9c449561d10659640ca348d56d2524","schema_version":"1.0","event_id":"sha256:f1cec3d685e1d71ec347149a2f342b198e9c449561d10659640ca348d56d2524"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TYUOAQGGQ3DQWO5QTV5BPRXZSB/bundle.json","state_url":"https://pith.science/pith/TYUOAQGGQ3DQWO5QTV5BPRXZSB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TYUOAQGGQ3DQWO5QTV5BPRXZSB/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":"2026-05-28T00:08:47Z","links":{"resolver":"https://pith.science/pith/TYUOAQGGQ3DQWO5QTV5BPRXZSB","bundle":"https://pith.science/pith/TYUOAQGGQ3DQWO5QTV5BPRXZSB/bundle.json","state":"https://pith.science/pith/TYUOAQGGQ3DQWO5QTV5BPRXZSB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TYUOAQGGQ3DQWO5QTV5BPRXZSB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:TYUOAQGGQ3DQWO5QTV5BPRXZSB","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":"4d5370e37eb0a685f2491ca0a48b8ca79f012d76572bd253af91930e5f4dd1b3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-03-15T19:00:04Z","title_canon_sha256":"0a309c91cc404f7a6c0cbc369177426441f3c9cd2a07da1f50ca2aab9f4251b7"},"schema_version":"1.0","source":{"id":"1803.05950","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.05950","created_at":"2026-05-17T23:50:15Z"},{"alias_kind":"arxiv_version","alias_value":"1803.05950v1","created_at":"2026-05-17T23:50:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.05950","created_at":"2026-05-17T23:50:15Z"},{"alias_kind":"pith_short_12","alias_value":"TYUOAQGGQ3DQ","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"TYUOAQGGQ3DQWO5Q","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"TYUOAQGG","created_at":"2026-05-18T12:32:56Z"}],"graph_snapshots":[{"event_id":"sha256:f1cec3d685e1d71ec347149a2f342b198e9c449561d10659640ca348d56d2524","target":"graph","created_at":"2026-05-17T23:50:15Z","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":"We show that the three-dimensional map between fermions and bosons at finite temperature generalises for all odd dimensions $d>3$. We further argue that such a map has a nontrivial large $d$ limit. Evidence comes from studying the gap equations, the free energies and the partition functions of the $U(N)$ Gross-Neveu and CP$^{N-1}$ models for odd $d\\geq 3$ in the presence of imaginary chemical potential. We find that the gap equations and the free energies can be written in terms of the Bloch-Wigner-Ramakrishnan $D_d(z)$ functions analysed by Zagier. Since $D_2(z)$ gives the volume of ideal tet","authors_text":"Anastasios C. Petkou, Evangelos G. Filothodoros, Nicholas D. Vlachos","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-03-15T19:00:04Z","title":"The fermion-boson map for large d"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.05950","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":"sha256:7cca14e7a4401213a2a2a753e059cb294b917d8ef44b68d6b793be816bb9203e","target":"record","created_at":"2026-05-17T23:50:15Z","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":"4d5370e37eb0a685f2491ca0a48b8ca79f012d76572bd253af91930e5f4dd1b3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-03-15T19:00:04Z","title_canon_sha256":"0a309c91cc404f7a6c0cbc369177426441f3c9cd2a07da1f50ca2aab9f4251b7"},"schema_version":"1.0","source":{"id":"1803.05950","kind":"arxiv","version":1}},"canonical_sha256":"9e28e040c686c70b3bb09d7a17c6f99060eb63f1fcd0adb5480934936599edf3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9e28e040c686c70b3bb09d7a17c6f99060eb63f1fcd0adb5480934936599edf3","first_computed_at":"2026-05-17T23:50:15.954573Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:50:15.954573Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7URADgT5WFjrp46QZ5obzY3eYjp/nAc/0hL0le5+NGWP/cT7HbwvXqYEGzJiw5w6cSObZyQP8B8t/ACpJovuDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:50:15.955212Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.05950","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7cca14e7a4401213a2a2a753e059cb294b917d8ef44b68d6b793be816bb9203e","sha256:f1cec3d685e1d71ec347149a2f342b198e9c449561d10659640ca348d56d2524"],"state_sha256":"4b6637176d4ed6539989e7f440f05377e99d30d150c8ef90929cfb8208f70453"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uCelpgn3swTgcUUqAC2eKv4habGclIeikbKm/vmr+QIpw6g8s6ukuLZqy+hnIRYaTwdLh6Uk9lmvOoxyPi2EAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T00:08:47.358504Z","bundle_sha256":"ff55dfc5641e7bd0d5f0bceebef76fdc2470ebe5c90cefbac05a5a06aa9dc47c"}}