{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:E4GUHQ6GL7SOWQMVHS574SO7OT","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":"c488944c72d9a996521b41a1fb582f4765f8132b7bb0a341d2b809baeb0acf94","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2004-07-27T15:32:01Z","title_canon_sha256":"dcdcd59c0d77e72762faab8d82a5f269a80f11bc48879cec71961e3c1348385d"},"schema_version":"1.0","source":{"id":"hep-th/0407236","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0407236","created_at":"2026-05-18T00:57:05Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0407236v2","created_at":"2026-05-18T00:57:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0407236","created_at":"2026-05-18T00:57:05Z"},{"alias_kind":"pith_short_12","alias_value":"E4GUHQ6GL7SO","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"E4GUHQ6GL7SOWQMV","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"E4GUHQ6G","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:85aaa1b6021c7fad9169e3b98f9dc96ab168542c4f53ef56bb34caa5dc02dd64","target":"graph","created_at":"2026-05-18T00:57:05Z","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 review aspects of the Hagedorn regime in critical string theories, from basic facts about the ideal gas approximation to the proposal of a global picture inspired by general ideas of holography. It was suggested that the condensation of thermal winding modes triggers a first-order phase transition. We propose, by an Euclidean analogue of the string/black hole correspondence principle, that the transition is actually related to a topology change in spacetime. Similar phase transitions induced by unstable winding modes can be studied in toy models. There, using T-duality of supersymmetric cyc","authors_text":"E. Rabinovici, J.L.F. Barbon","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2004-07-27T15:32:01Z","title":"Touring the Hagedorn Ridge"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0407236","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":"sha256:69b968bb03403b3932fe6c6b5d3181a84e62f53e223b4d6c981eba6273896081","target":"record","created_at":"2026-05-18T00:57:05Z","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":"c488944c72d9a996521b41a1fb582f4765f8132b7bb0a341d2b809baeb0acf94","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2004-07-27T15:32:01Z","title_canon_sha256":"dcdcd59c0d77e72762faab8d82a5f269a80f11bc48879cec71961e3c1348385d"},"schema_version":"1.0","source":{"id":"hep-th/0407236","kind":"arxiv","version":2}},"canonical_sha256":"270d43c3c65fe4eb41953cbbfe49df74c4d6c34f14ea64909c4f21a099dcc7e4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"270d43c3c65fe4eb41953cbbfe49df74c4d6c34f14ea64909c4f21a099dcc7e4","first_computed_at":"2026-05-18T00:57:05.514051Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:05.514051Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sjGWFLNNdCHS3te8jtiofxs+/fgxZ/plpk8sfAr+PeK9J52XUSX+hhFDlABG/8ymLwwHP4HrtQKipTRbQSiFDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:05.514552Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0407236","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:69b968bb03403b3932fe6c6b5d3181a84e62f53e223b4d6c981eba6273896081","sha256:85aaa1b6021c7fad9169e3b98f9dc96ab168542c4f53ef56bb34caa5dc02dd64"],"state_sha256":"9babcac97e369d72778b33288cc010df7026b2c3557ddebdbef0834a2a44dd96"}