{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:HHVQXJ2UEZNEZLUYIXJONALNW6","short_pith_number":"pith:HHVQXJ2U","canonical_record":{"source":{"id":"hep-th/0310285","kind":"arxiv","version":6},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-10-31T20:14:55Z","cross_cats_sorted":["hep-lat","hep-ph"],"title_canon_sha256":"dd3232fb834c09b753b03ed7de14967feea1c6ba44d58e9ec5d4557917459cb0","abstract_canon_sha256":"1d1977a48bd7c9e7bd805a1f80c815ad2346e47271a865ed1f2ca76312c9f059"},"schema_version":"1.0"},"canonical_sha256":"39eb0ba754265a4cae9845d2e6816db7b86681b3199a689bd179a90b9d76d8f2","source":{"kind":"arxiv","id":"hep-th/0310285","version":6},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0310285","created_at":"2026-07-04T16:41:26Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0310285v6","created_at":"2026-07-04T16:41:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0310285","created_at":"2026-07-04T16:41:26Z"},{"alias_kind":"pith_short_12","alias_value":"HHVQXJ2UEZNE","created_at":"2026-07-04T16:41:26Z"},{"alias_kind":"pith_short_16","alias_value":"HHVQXJ2UEZNEZLUY","created_at":"2026-07-04T16:41:26Z"},{"alias_kind":"pith_short_8","alias_value":"HHVQXJ2U","created_at":"2026-07-04T16:41:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:HHVQXJ2UEZNEZLUYIXJONALNW6","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0310285","kind":"arxiv","version":6},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-10-31T20:14:55Z","cross_cats_sorted":["hep-lat","hep-ph"],"title_canon_sha256":"dd3232fb834c09b753b03ed7de14967feea1c6ba44d58e9ec5d4557917459cb0","abstract_canon_sha256":"1d1977a48bd7c9e7bd805a1f80c815ad2346e47271a865ed1f2ca76312c9f059"},"schema_version":"1.0"},"canonical_sha256":"39eb0ba754265a4cae9845d2e6816db7b86681b3199a689bd179a90b9d76d8f2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:41:26.807746Z","signature_b64":"/RSiomy22w1/cnUMTzdfwukcc94o0C3rWN5gvCqiZMKHuNxZfBZlQao4eumlLbdFLLp07nRfEDRi6snVdYBaAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"39eb0ba754265a4cae9845d2e6816db7b86681b3199a689bd179a90b9d76d8f2","last_reissued_at":"2026-07-04T16:41:26.807391Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:41:26.807391Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0310285","source_version":6,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:41:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5YCglpOXLiYN9AYVTPVd8cnTNoXdTimw+FzLTJE42O94NDBGwnifdJGNkmNFvIWkJk3+XAtA/f3WKMrkFsGsBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-31T15:51:29.601354Z"},"content_sha256":"3a8b27e5b67a94eb2dcfd6786a18fa0b00aa0e773f0f87ca39f4b021739e4975","schema_version":"1.0","event_id":"sha256:3a8b27e5b67a94eb2dcfd6786a18fa0b00aa0e773f0f87ca39f4b021739e4975"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:HHVQXJ2UEZNEZLUYIXJONALNW6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Hagedorn/Deconfinement Phase Transition in Weakly Coupled Large N Gauge Theories","license":"","headline":"","cross_cats":["hep-lat","hep-ph"],"primary_cat":"hep-th","authors_text":"Joseph Marsano, Kyriakos Papadodimas, Mark Van Raamsdonk, Ofer Aharony, Shiraz Minwalla","submitted_at":"2003-10-31T20:14:55Z","abstract_excerpt":"We demonstrate that weakly coupled, large N, d-dimensional SU(N) gauge theories on a class of compact spatial manifolds (including S^{d-1} \\times time) undergo deconfinement phase transitions at temperatures proportional to the inverse length scale of the manifold in question. The low temperature phase has a free energy of order one, and is characterized by a stringy (Hagedorn) growth in its density of states. The high temperature phase has a free energy of order N^2. These phases are separated either by a single first order transition that generically occurs below the Hagedorn temperature or "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0310285","kind":"arxiv","version":6},"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/hep-th/0310285/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":"2026-07-04T16:41:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZDA7419r3JpxaNsvkBimu6ibg/Jc+jMdTTWBzy1SiASBECF56kuthNBKFIzL5F+IwM2LUS/mHrkOiSIZwgdlDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-31T15:51:29.602909Z"},"content_sha256":"d67fb2a6a7a1ba6b7b808501f27366c46e800faa7d0c2c9ba32f6bdaf0f6ca94","schema_version":"1.0","event_id":"sha256:d67fb2a6a7a1ba6b7b808501f27366c46e800faa7d0c2c9ba32f6bdaf0f6ca94"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HHVQXJ2UEZNEZLUYIXJONALNW6/bundle.json","state_url":"https://pith.science/pith/HHVQXJ2UEZNEZLUYIXJONALNW6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HHVQXJ2UEZNEZLUYIXJONALNW6/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":"2026-07-31T15:51:29Z","links":{"resolver":"https://pith.science/pith/HHVQXJ2UEZNEZLUYIXJONALNW6","bundle":"https://pith.science/pith/HHVQXJ2UEZNEZLUYIXJONALNW6/bundle.json","state":"https://pith.science/pith/HHVQXJ2UEZNEZLUYIXJONALNW6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HHVQXJ2UEZNEZLUYIXJONALNW6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:HHVQXJ2UEZNEZLUYIXJONALNW6","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":"1d1977a48bd7c9e7bd805a1f80c815ad2346e47271a865ed1f2ca76312c9f059","cross_cats_sorted":["hep-lat","hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2003-10-31T20:14:55Z","title_canon_sha256":"dd3232fb834c09b753b03ed7de14967feea1c6ba44d58e9ec5d4557917459cb0"},"schema_version":"1.0","source":{"id":"hep-th/0310285","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0310285","created_at":"2026-07-04T16:41:26Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0310285v6","created_at":"2026-07-04T16:41:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0310285","created_at":"2026-07-04T16:41:26Z"},{"alias_kind":"pith_short_12","alias_value":"HHVQXJ2UEZNE","created_at":"2026-07-04T16:41:26Z"},{"alias_kind":"pith_short_16","alias_value":"HHVQXJ2UEZNEZLUY","created_at":"2026-07-04T16:41:26Z"},{"alias_kind":"pith_short_8","alias_value":"HHVQXJ2U","created_at":"2026-07-04T16:41:26Z"}],"graph_snapshots":[{"event_id":"sha256:d67fb2a6a7a1ba6b7b808501f27366c46e800faa7d0c2c9ba32f6bdaf0f6ca94","target":"graph","created_at":"2026-07-04T16:41:26Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-th/0310285/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We demonstrate that weakly coupled, large N, d-dimensional SU(N) gauge theories on a class of compact spatial manifolds (including S^{d-1} \\times time) undergo deconfinement phase transitions at temperatures proportional to the inverse length scale of the manifold in question. The low temperature phase has a free energy of order one, and is characterized by a stringy (Hagedorn) growth in its density of states. The high temperature phase has a free energy of order N^2. These phases are separated either by a single first order transition that generically occurs below the Hagedorn temperature or ","authors_text":"Joseph Marsano, Kyriakos Papadodimas, Mark Van Raamsdonk, Ofer Aharony, Shiraz Minwalla","cross_cats":["hep-lat","hep-ph"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2003-10-31T20:14:55Z","title":"The Hagedorn/Deconfinement Phase Transition in Weakly Coupled Large N Gauge Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0310285","kind":"arxiv","version":6},"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":"sha256:3a8b27e5b67a94eb2dcfd6786a18fa0b00aa0e773f0f87ca39f4b021739e4975","target":"record","created_at":"2026-07-04T16:41:26Z","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":"1d1977a48bd7c9e7bd805a1f80c815ad2346e47271a865ed1f2ca76312c9f059","cross_cats_sorted":["hep-lat","hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2003-10-31T20:14:55Z","title_canon_sha256":"dd3232fb834c09b753b03ed7de14967feea1c6ba44d58e9ec5d4557917459cb0"},"schema_version":"1.0","source":{"id":"hep-th/0310285","kind":"arxiv","version":6}},"canonical_sha256":"39eb0ba754265a4cae9845d2e6816db7b86681b3199a689bd179a90b9d76d8f2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"39eb0ba754265a4cae9845d2e6816db7b86681b3199a689bd179a90b9d76d8f2","first_computed_at":"2026-07-04T16:41:26.807391Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:41:26.807391Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/RSiomy22w1/cnUMTzdfwukcc94o0C3rWN5gvCqiZMKHuNxZfBZlQao4eumlLbdFLLp07nRfEDRi6snVdYBaAg==","signature_status":"signed_v1","signed_at":"2026-07-04T16:41:26.807746Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0310285","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3a8b27e5b67a94eb2dcfd6786a18fa0b00aa0e773f0f87ca39f4b021739e4975","sha256:d67fb2a6a7a1ba6b7b808501f27366c46e800faa7d0c2c9ba32f6bdaf0f6ca94"],"state_sha256":"040223b05e28cb147a20a51f02a41a90880e902b64222b3f170391e57dcf84ab"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GqGabot6cqYVd5wRCC0VHrMgP79ybpJizUqDRSNOB1DS6ugbYnaMqEQ1YCylJ4fZuliMvUdIRu2E0LU+T6qYBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-31T15:51:29.606038Z","bundle_sha256":"eb350016a80565f617f294a91a9502fcecff17286fa86e16500e7e098aa7f010"}}