{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:C4W3QXVEXX2WBJDEZ723E2OAL5","short_pith_number":"pith:C4W3QXVE","canonical_record":{"source":{"id":"0803.2822","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-03-19T15:47:18Z","cross_cats_sorted":[],"title_canon_sha256":"80836836942a1366e29da56aedc220d51a4d29f7dcbaf508566c16e63549c621","abstract_canon_sha256":"2b218f04400eea6718435417af5ccee0f50c772c8f335072db8b18c9172414c7"},"schema_version":"1.0"},"canonical_sha256":"172db85ea4bdf560a464cff5b269c05f653ff5bad6380097d89357f752eced60","source":{"kind":"arxiv","id":"0803.2822","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0803.2822","created_at":"2026-05-18T02:35:23Z"},{"alias_kind":"arxiv_version","alias_value":"0803.2822v1","created_at":"2026-05-18T02:35:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0803.2822","created_at":"2026-05-18T02:35:23Z"},{"alias_kind":"pith_short_12","alias_value":"C4W3QXVEXX2W","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"C4W3QXVEXX2WBJDE","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"C4W3QXVE","created_at":"2026-05-18T12:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:C4W3QXVEXX2WBJDEZ723E2OAL5","target":"record","payload":{"canonical_record":{"source":{"id":"0803.2822","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-03-19T15:47:18Z","cross_cats_sorted":[],"title_canon_sha256":"80836836942a1366e29da56aedc220d51a4d29f7dcbaf508566c16e63549c621","abstract_canon_sha256":"2b218f04400eea6718435417af5ccee0f50c772c8f335072db8b18c9172414c7"},"schema_version":"1.0"},"canonical_sha256":"172db85ea4bdf560a464cff5b269c05f653ff5bad6380097d89357f752eced60","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:35:23.058707Z","signature_b64":"H8RsCSo/2U0T6rpcSXy/e1hle0exM3gx2j/x0peJLId6cFvPUXa+0pYnXMRnM9GcszL91DbwF91DGb5j06iQBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"172db85ea4bdf560a464cff5b269c05f653ff5bad6380097d89357f752eced60","last_reissued_at":"2026-05-18T02:35:23.058267Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:35:23.058267Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0803.2822","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":"2026-05-18T02:35:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ctD8AQKv5oa9HT5vDMEbupD0a8yRSf80Qs76ArlsTMGqYCqeSnmMRMV7H7MGIGGqvTScs1G6R9IXravVwnCMBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T06:18:45.967985Z"},"content_sha256":"5b992e00ba7f80f3faa43539a1bdda9c386a89f84907888896d007ce63d1f3e5","schema_version":"1.0","event_id":"sha256:5b992e00ba7f80f3faa43539a1bdda9c386a89f84907888896d007ce63d1f3e5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:C4W3QXVEXX2WBJDEZ723E2OAL5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"N=4 SYM on S^3 with Near Critical Chemical Potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Asad Naqvi, Philip Wild, S. Prem Kumar, Timothy J. Hollowood","submitted_at":"2008-03-19T15:47:18Z","abstract_excerpt":"We study the N = 4 theory at weak coupling, on a three sphere in the grand canonical ensemble with R symmetry chemical potentials. We focus attention on near critical values for the chemical potentials, above which the classical theory has no ground state. By computing a one loop effective potential for the light degrees of freedom in this regime, we show the existence of flat directions of complex dimension N, 2N and 3N for one, two and three critical chemical potentials respectively; these correspond to one half, one quarter and one-eighth BPS states becoming light respectively at the critic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0803.2822","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":"2026-05-18T02:35:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1VzZ9zp/giha9DQqcHSscYsBMIU4giE+n5HvSGdOwc1/8AQr6QG7Mr/3rsQEzSaw4RgpCtPNG7DDfpqtGByLCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T06:18:45.968356Z"},"content_sha256":"cc1b5411a105859c4481e3ecf7ffbc2ad7171408a891ddd53186f2ee03886186","schema_version":"1.0","event_id":"sha256:cc1b5411a105859c4481e3ecf7ffbc2ad7171408a891ddd53186f2ee03886186"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C4W3QXVEXX2WBJDEZ723E2OAL5/bundle.json","state_url":"https://pith.science/pith/C4W3QXVEXX2WBJDEZ723E2OAL5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C4W3QXVEXX2WBJDEZ723E2OAL5/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":"2026-06-12T06:18:45Z","links":{"resolver":"https://pith.science/pith/C4W3QXVEXX2WBJDEZ723E2OAL5","bundle":"https://pith.science/pith/C4W3QXVEXX2WBJDEZ723E2OAL5/bundle.json","state":"https://pith.science/pith/C4W3QXVEXX2WBJDEZ723E2OAL5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C4W3QXVEXX2WBJDEZ723E2OAL5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:C4W3QXVEXX2WBJDEZ723E2OAL5","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":"2b218f04400eea6718435417af5ccee0f50c772c8f335072db8b18c9172414c7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-03-19T15:47:18Z","title_canon_sha256":"80836836942a1366e29da56aedc220d51a4d29f7dcbaf508566c16e63549c621"},"schema_version":"1.0","source":{"id":"0803.2822","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0803.2822","created_at":"2026-05-18T02:35:23Z"},{"alias_kind":"arxiv_version","alias_value":"0803.2822v1","created_at":"2026-05-18T02:35:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0803.2822","created_at":"2026-05-18T02:35:23Z"},{"alias_kind":"pith_short_12","alias_value":"C4W3QXVEXX2W","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"C4W3QXVEXX2WBJDE","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"C4W3QXVE","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:cc1b5411a105859c4481e3ecf7ffbc2ad7171408a891ddd53186f2ee03886186","target":"graph","created_at":"2026-05-18T02:35:23Z","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 study the N = 4 theory at weak coupling, on a three sphere in the grand canonical ensemble with R symmetry chemical potentials. We focus attention on near critical values for the chemical potentials, above which the classical theory has no ground state. By computing a one loop effective potential for the light degrees of freedom in this regime, we show the existence of flat directions of complex dimension N, 2N and 3N for one, two and three critical chemical potentials respectively; these correspond to one half, one quarter and one-eighth BPS states becoming light respectively at the critic","authors_text":"Asad Naqvi, Philip Wild, S. Prem Kumar, Timothy J. Hollowood","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-03-19T15:47:18Z","title":"N=4 SYM on S^3 with Near Critical Chemical Potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0803.2822","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":"sha256:5b992e00ba7f80f3faa43539a1bdda9c386a89f84907888896d007ce63d1f3e5","target":"record","created_at":"2026-05-18T02:35:23Z","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":"2b218f04400eea6718435417af5ccee0f50c772c8f335072db8b18c9172414c7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-03-19T15:47:18Z","title_canon_sha256":"80836836942a1366e29da56aedc220d51a4d29f7dcbaf508566c16e63549c621"},"schema_version":"1.0","source":{"id":"0803.2822","kind":"arxiv","version":1}},"canonical_sha256":"172db85ea4bdf560a464cff5b269c05f653ff5bad6380097d89357f752eced60","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"172db85ea4bdf560a464cff5b269c05f653ff5bad6380097d89357f752eced60","first_computed_at":"2026-05-18T02:35:23.058267Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:23.058267Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H8RsCSo/2U0T6rpcSXy/e1hle0exM3gx2j/x0peJLId6cFvPUXa+0pYnXMRnM9GcszL91DbwF91DGb5j06iQBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:23.058707Z","signed_message":"canonical_sha256_bytes"},"source_id":"0803.2822","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b992e00ba7f80f3faa43539a1bdda9c386a89f84907888896d007ce63d1f3e5","sha256:cc1b5411a105859c4481e3ecf7ffbc2ad7171408a891ddd53186f2ee03886186"],"state_sha256":"79a75b9659000f549fbdb9050018fbc69f095473a70828412a6d4c57814e3380"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"exA+umB1pMQMC30famUNz2s+OUcBMOWbJrn+ObhSr6iEWfPr3gKssY/GNTB19EbvZUHv/lsC/gO6pVQD1zyIAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T06:18:45.972592Z","bundle_sha256":"ce8b8d54ec438086145181a5a3e12bce1f76a337580f423c89630a9287779a61"}}