{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:ATRCNKKFM2D7TKHWOQW66BUAZW","short_pith_number":"pith:ATRCNKKF","canonical_record":{"source":{"id":"hep-th/0607111","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2006-07-17T15:01:58Z","cross_cats_sorted":[],"title_canon_sha256":"0303dcb7161231bcf18ec68dc00a6ac55cc75cda745c01194e91dd479eb16087","abstract_canon_sha256":"aee2e9b154e4cd4deb6b4b0bbdd51b2c5d4a72794ec7c2bbdb3226af62f2d35f"},"schema_version":"1.0"},"canonical_sha256":"04e226a9456687f9a8f6742def0680cdb56dbc904f1a28d4133d4f33235600c0","source":{"kind":"arxiv","id":"hep-th/0607111","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0607111","created_at":"2026-05-18T04:38:26Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0607111v2","created_at":"2026-05-18T04:38:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0607111","created_at":"2026-05-18T04:38:26Z"},{"alias_kind":"pith_short_12","alias_value":"ATRCNKKFM2D7","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"ATRCNKKFM2D7TKHW","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"ATRCNKKF","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:ATRCNKKFM2D7TKHWOQW66BUAZW","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0607111","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2006-07-17T15:01:58Z","cross_cats_sorted":[],"title_canon_sha256":"0303dcb7161231bcf18ec68dc00a6ac55cc75cda745c01194e91dd479eb16087","abstract_canon_sha256":"aee2e9b154e4cd4deb6b4b0bbdd51b2c5d4a72794ec7c2bbdb3226af62f2d35f"},"schema_version":"1.0"},"canonical_sha256":"04e226a9456687f9a8f6742def0680cdb56dbc904f1a28d4133d4f33235600c0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:38:26.703888Z","signature_b64":"j98A3RjzNagIIJz158c+B2a9ixKsNTle0tw6nGKnwPpYjd5vMWc0JEmikkI1DVIVgowxOODNOMYHsIYZRE/8Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"04e226a9456687f9a8f6742def0680cdb56dbc904f1a28d4133d4f33235600c0","last_reissued_at":"2026-05-18T04:38:26.703354Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:38:26.703354Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0607111","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":"2026-05-18T04:38:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rc30OVj67B2QqAtfuTigHyiQeEcGMsgUWScpXOo3MMoFFnKcfr29LRAPoTmk4298qh4GYhWroNUcVG1l/7enCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T16:18:54.445676Z"},"content_sha256":"c2e63030f05fdee4bf1944d9844b9d5cd05f892e6352801c8b4270b8465cdf8b","schema_version":"1.0","event_id":"sha256:c2e63030f05fdee4bf1944d9844b9d5cd05f892e6352801c8b4270b8465cdf8b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:ATRCNKKFM2D7TKHWOQW66BUAZW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Instabilities of the Small Black Hole: a view from N=4 SYM","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Asad Naqvi, S. Prem Kumar, Timothy Hollowood","submitted_at":"2006-07-17T15:01:58Z","abstract_excerpt":"We compute a one-loop effective action for the constant modes of the scalars and the Polyakov loop matrix of N=4 SYM on S^3 at finite temperature and weak 't Hooft coupling. Above a critical temperature, the effective potential develops new unstable directions accompanied by new saddle points which only preserve an SO(5) subgroup of the SO(6) global R-symmetry. We identify this phenomenon as the weak coupling version of the well known Gregory-Laflamme localization instability in the gravity dual of the strongly coupled field theory: The small AdS_5 black hole when viewed as a ten dimensional, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0607111","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":"2026-05-18T04:38:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jkBrp2iPt5rM9R979HXJVtsXXYvmSUw/Wu98QtEXc+dXNs+dzUvNC4elgax60c3DIlwc4UBi9NRRMG8OQcxRAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T16:18:54.446145Z"},"content_sha256":"41078d8f2afb676e06ec605734189a0a64e33cf69bae0034b60e3d93dd2bf36d","schema_version":"1.0","event_id":"sha256:41078d8f2afb676e06ec605734189a0a64e33cf69bae0034b60e3d93dd2bf36d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ATRCNKKFM2D7TKHWOQW66BUAZW/bundle.json","state_url":"https://pith.science/pith/ATRCNKKFM2D7TKHWOQW66BUAZW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ATRCNKKFM2D7TKHWOQW66BUAZW/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":"2026-08-03T16:18:54Z","links":{"resolver":"https://pith.science/pith/ATRCNKKFM2D7TKHWOQW66BUAZW","bundle":"https://pith.science/pith/ATRCNKKFM2D7TKHWOQW66BUAZW/bundle.json","state":"https://pith.science/pith/ATRCNKKFM2D7TKHWOQW66BUAZW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ATRCNKKFM2D7TKHWOQW66BUAZW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:ATRCNKKFM2D7TKHWOQW66BUAZW","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":"aee2e9b154e4cd4deb6b4b0bbdd51b2c5d4a72794ec7c2bbdb3226af62f2d35f","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2006-07-17T15:01:58Z","title_canon_sha256":"0303dcb7161231bcf18ec68dc00a6ac55cc75cda745c01194e91dd479eb16087"},"schema_version":"1.0","source":{"id":"hep-th/0607111","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0607111","created_at":"2026-05-18T04:38:26Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0607111v2","created_at":"2026-05-18T04:38:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0607111","created_at":"2026-05-18T04:38:26Z"},{"alias_kind":"pith_short_12","alias_value":"ATRCNKKFM2D7","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"ATRCNKKFM2D7TKHW","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"ATRCNKKF","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:41078d8f2afb676e06ec605734189a0a64e33cf69bae0034b60e3d93dd2bf36d","target":"graph","created_at":"2026-05-18T04:38:26Z","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 compute a one-loop effective action for the constant modes of the scalars and the Polyakov loop matrix of N=4 SYM on S^3 at finite temperature and weak 't Hooft coupling. Above a critical temperature, the effective potential develops new unstable directions accompanied by new saddle points which only preserve an SO(5) subgroup of the SO(6) global R-symmetry. We identify this phenomenon as the weak coupling version of the well known Gregory-Laflamme localization instability in the gravity dual of the strongly coupled field theory: The small AdS_5 black hole when viewed as a ten dimensional, ","authors_text":"Asad Naqvi, S. Prem Kumar, Timothy Hollowood","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2006-07-17T15:01:58Z","title":"Instabilities of the Small Black Hole: a view from N=4 SYM"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0607111","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:c2e63030f05fdee4bf1944d9844b9d5cd05f892e6352801c8b4270b8465cdf8b","target":"record","created_at":"2026-05-18T04:38:26Z","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":"aee2e9b154e4cd4deb6b4b0bbdd51b2c5d4a72794ec7c2bbdb3226af62f2d35f","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2006-07-17T15:01:58Z","title_canon_sha256":"0303dcb7161231bcf18ec68dc00a6ac55cc75cda745c01194e91dd479eb16087"},"schema_version":"1.0","source":{"id":"hep-th/0607111","kind":"arxiv","version":2}},"canonical_sha256":"04e226a9456687f9a8f6742def0680cdb56dbc904f1a28d4133d4f33235600c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"04e226a9456687f9a8f6742def0680cdb56dbc904f1a28d4133d4f33235600c0","first_computed_at":"2026-05-18T04:38:26.703354Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:38:26.703354Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j98A3RjzNagIIJz158c+B2a9ixKsNTle0tw6nGKnwPpYjd5vMWc0JEmikkI1DVIVgowxOODNOMYHsIYZRE/8Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T04:38:26.703888Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0607111","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c2e63030f05fdee4bf1944d9844b9d5cd05f892e6352801c8b4270b8465cdf8b","sha256:41078d8f2afb676e06ec605734189a0a64e33cf69bae0034b60e3d93dd2bf36d"],"state_sha256":"cb23c8d0c8ed0ed0c038cd43099680afa63c1c9cd8dc69767a4376491ac21fa0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sGWLGVZFpSbnX3/QmUU9zJ6pFGyurXR25Dbjmo6mTjsUD0gOSea9IS9giqPAHPFgoiw9IpydSiTMg3tEuBxACQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T16:18:54.452869Z","bundle_sha256":"93c4bb9060e320fbaeeb3aedfd5b745d59c9988a212670e6541c161dd5f33c30"}}