{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:WMEJKKSVW4B65UBPOSKI53IFBB","short_pith_number":"pith:WMEJKKSV","canonical_record":{"source":{"id":"hep-th/0703100","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2007-03-09T20:06:29Z","cross_cats_sorted":[],"title_canon_sha256":"74caed831ba404a215abcd7520cc2fd139ba8d5a9a77291c9d2798417881fdd1","abstract_canon_sha256":"c0e9d878ab304d3cc71f1984c53339c71f357b1f7ac9e9a1b80532e94e2c5a5d"},"schema_version":"1.0"},"canonical_sha256":"b308952a55b703eed02f74948eed050862b1d850ead952f0d1e7b4782e7aa940","source":{"kind":"arxiv","id":"hep-th/0703100","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0703100","created_at":"2026-05-18T04:24:16Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0703100v2","created_at":"2026-05-18T04:24:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0703100","created_at":"2026-05-18T04:24:16Z"},{"alias_kind":"pith_short_12","alias_value":"WMEJKKSVW4B6","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"WMEJKKSVW4B65UBP","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"WMEJKKSV","created_at":"2026-05-18T12:25:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:WMEJKKSVW4B65UBPOSKI53IFBB","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0703100","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2007-03-09T20:06:29Z","cross_cats_sorted":[],"title_canon_sha256":"74caed831ba404a215abcd7520cc2fd139ba8d5a9a77291c9d2798417881fdd1","abstract_canon_sha256":"c0e9d878ab304d3cc71f1984c53339c71f357b1f7ac9e9a1b80532e94e2c5a5d"},"schema_version":"1.0"},"canonical_sha256":"b308952a55b703eed02f74948eed050862b1d850ead952f0d1e7b4782e7aa940","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:24:16.252126Z","signature_b64":"/dGQuaKeJ3QnMA4ZKQWmrF4AsYaR0B9UeS7/9Z5Nc7ZMdcT9NU6u9sgMf12zlpC+ShvURi0HBvMSJKu8BLK7AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b308952a55b703eed02f74948eed050862b1d850ead952f0d1e7b4782e7aa940","last_reissued_at":"2026-05-18T04:24:16.251665Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:24:16.251665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0703100","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":"2026-05-18T04:24:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ssj1KiXOJfiLgSkdTv2Z0iaSywCbQaz2szQYz1l9Vq6CYeXVqaTw1ITcpM1pHFTjnJMOGzqxr8tbaxNPIiOsDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T04:50:43.806182Z"},"content_sha256":"0920a653a0cb1b53f389a16dbe109c3b38ef73a70aeb5a0c8f8883f28edc3254","schema_version":"1.0","event_id":"sha256:0920a653a0cb1b53f389a16dbe109c3b38ef73a70aeb5a0c8f8883f28edc3254"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:WMEJKKSVW4B65UBPOSKI53IFBB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Topology change in commuting saddles of thermal N=4 SYM theory","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Sean A. Hartnoll, S. Prem Kumar, Timothy J. Hollowood, Umut Gursoy","submitted_at":"2007-03-09T20:06:29Z","abstract_excerpt":"We study the large N saddle points of weakly coupled N=4 super Yang-Mills theory on S^1 x S^3 that are described by a commuting matrix model for the seven scalar fields {A_0, \\Phi_J}. We show that at temperatures below the Hagedorn/`deconfinement' transition the joint eigenvalue distribution is S^1 x S^5. At high temperatures T >> 1/R_{S^3}, the eigenvalues form an ellipsoid with topology S^6. We show how the deconfinement transition realises the topology change S^1 x S^5 --> S^6. Furthermore, we find compelling evidence that when the temperature is increased to T = 1/(\\sqrt\\lambda R_{S^3}) th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0703100","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":"2026-05-18T04:24:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RaYhTC03g2Okf3w5pfeaQXRa2KoBXuqgQOdwVYufmIBZlLikQt2ZsAgsIrv98bIDeMj+y3S/PNMAb3ShQxPhCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T04:50:43.806955Z"},"content_sha256":"ef3c8d8dfb01ab85e36b451601d3c2e4f6038c1c11bd44e890f443bfb2ce0199","schema_version":"1.0","event_id":"sha256:ef3c8d8dfb01ab85e36b451601d3c2e4f6038c1c11bd44e890f443bfb2ce0199"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WMEJKKSVW4B65UBPOSKI53IFBB/bundle.json","state_url":"https://pith.science/pith/WMEJKKSVW4B65UBPOSKI53IFBB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WMEJKKSVW4B65UBPOSKI53IFBB/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":"2026-06-10T04:50:43Z","links":{"resolver":"https://pith.science/pith/WMEJKKSVW4B65UBPOSKI53IFBB","bundle":"https://pith.science/pith/WMEJKKSVW4B65UBPOSKI53IFBB/bundle.json","state":"https://pith.science/pith/WMEJKKSVW4B65UBPOSKI53IFBB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WMEJKKSVW4B65UBPOSKI53IFBB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:WMEJKKSVW4B65UBPOSKI53IFBB","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":"c0e9d878ab304d3cc71f1984c53339c71f357b1f7ac9e9a1b80532e94e2c5a5d","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2007-03-09T20:06:29Z","title_canon_sha256":"74caed831ba404a215abcd7520cc2fd139ba8d5a9a77291c9d2798417881fdd1"},"schema_version":"1.0","source":{"id":"hep-th/0703100","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0703100","created_at":"2026-05-18T04:24:16Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0703100v2","created_at":"2026-05-18T04:24:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0703100","created_at":"2026-05-18T04:24:16Z"},{"alias_kind":"pith_short_12","alias_value":"WMEJKKSVW4B6","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"WMEJKKSVW4B65UBP","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"WMEJKKSV","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:ef3c8d8dfb01ab85e36b451601d3c2e4f6038c1c11bd44e890f443bfb2ce0199","target":"graph","created_at":"2026-05-18T04:24:16Z","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 large N saddle points of weakly coupled N=4 super Yang-Mills theory on S^1 x S^3 that are described by a commuting matrix model for the seven scalar fields {A_0, \\Phi_J}. We show that at temperatures below the Hagedorn/`deconfinement' transition the joint eigenvalue distribution is S^1 x S^5. At high temperatures T >> 1/R_{S^3}, the eigenvalues form an ellipsoid with topology S^6. We show how the deconfinement transition realises the topology change S^1 x S^5 --> S^6. Furthermore, we find compelling evidence that when the temperature is increased to T = 1/(\\sqrt\\lambda R_{S^3}) th","authors_text":"Sean A. Hartnoll, S. Prem Kumar, Timothy J. Hollowood, Umut Gursoy","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2007-03-09T20:06:29Z","title":"Topology change in commuting saddles of thermal N=4 SYM theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0703100","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":"sha256:0920a653a0cb1b53f389a16dbe109c3b38ef73a70aeb5a0c8f8883f28edc3254","target":"record","created_at":"2026-05-18T04:24:16Z","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":"c0e9d878ab304d3cc71f1984c53339c71f357b1f7ac9e9a1b80532e94e2c5a5d","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2007-03-09T20:06:29Z","title_canon_sha256":"74caed831ba404a215abcd7520cc2fd139ba8d5a9a77291c9d2798417881fdd1"},"schema_version":"1.0","source":{"id":"hep-th/0703100","kind":"arxiv","version":2}},"canonical_sha256":"b308952a55b703eed02f74948eed050862b1d850ead952f0d1e7b4782e7aa940","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b308952a55b703eed02f74948eed050862b1d850ead952f0d1e7b4782e7aa940","first_computed_at":"2026-05-18T04:24:16.251665Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:24:16.251665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/dGQuaKeJ3QnMA4ZKQWmrF4AsYaR0B9UeS7/9Z5Nc7ZMdcT9NU6u9sgMf12zlpC+ShvURi0HBvMSJKu8BLK7AA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:24:16.252126Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0703100","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0920a653a0cb1b53f389a16dbe109c3b38ef73a70aeb5a0c8f8883f28edc3254","sha256:ef3c8d8dfb01ab85e36b451601d3c2e4f6038c1c11bd44e890f443bfb2ce0199"],"state_sha256":"bcd5787eb44046f54cfd01046a512b41705975456ea4c29b3537cf036c902aa9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hUg1eaxBaGTzOG/pqPF2uUcFaHnjj6QWiNrqBYhj9jiljZOwCz8qUJ918iGkHb4jhiKy6ay8XvJcuhOZ5GAuCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T04:50:43.810739Z","bundle_sha256":"f1df866a6adab3a76b7130a2bd7f1f76c2d00bbf20dac30ddf8efad560d646db"}}