{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:NTGFM4FS7W5DNLMU7I6SH57Q5Y","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":"aef23cd8c0d9a4d3defbc2c97dcdd6c305f8d7a8cc6b52820d314ca5e502626c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-07-10T21:42:43Z","title_canon_sha256":"63ebad3ae61a0f49266601119255bdd0e71720dec90a5c2e5525775574fa795a"},"schema_version":"1.0","source":{"id":"1507.03036","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.03036","created_at":"2026-05-18T00:38:11Z"},{"alias_kind":"arxiv_version","alias_value":"1507.03036v2","created_at":"2026-05-18T00:38:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.03036","created_at":"2026-05-18T00:38:11Z"},{"alias_kind":"pith_short_12","alias_value":"NTGFM4FS7W5D","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"NTGFM4FS7W5DNLMU","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"NTGFM4FS","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:fc981b57be5fb6e4ecd9497e9a3c1f53508e3154f873b29d39d3497bb1272ee3","target":"graph","created_at":"2026-05-18T00:38:11Z","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 behavior of a simple string bit model at finite temperature. We use thermal perturbation theory to analyze the high temperature regime. But at low temperatures we rely on the large $N$ limit of the dynamics, for which the exact energy spectrum is known. Since the lowest energy states at infinite $N$ are free closed strings, the $N=\\infty$ partition function diverges above a finite temperature $\\beta_H^{-1}$, the Hagedorn temperature. We argue that in these models at finite $N$, which then have a finite number of degrees of freedom, there can be neither an ultimate temperature nor ","authors_text":"Charles B. Thorn","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-07-10T21:42:43Z","title":"String Bits at Finite Temperature and the Hagedorn Phase"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.03036","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":"sha256:50c3145415bca73ccf3451745081e849c0f4000b4b4c812b8a516a5a8a6d05e0","target":"record","created_at":"2026-05-18T00:38:11Z","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":"aef23cd8c0d9a4d3defbc2c97dcdd6c305f8d7a8cc6b52820d314ca5e502626c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-07-10T21:42:43Z","title_canon_sha256":"63ebad3ae61a0f49266601119255bdd0e71720dec90a5c2e5525775574fa795a"},"schema_version":"1.0","source":{"id":"1507.03036","kind":"arxiv","version":2}},"canonical_sha256":"6ccc5670b2fdba36ad94fa3d23f7f0ee105c605340fbd86e451ab223e15e92a2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6ccc5670b2fdba36ad94fa3d23f7f0ee105c605340fbd86e451ab223e15e92a2","first_computed_at":"2026-05-18T00:38:11.811089Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:11.811089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IKM9svC9AKULF1Y+4CTQ5FA9ywQNKyAsRgIWOvr7aQIAO/MraFnFLO/tXgS1+yB3I55Xy82QCh88paKP62CNDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:11.811832Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.03036","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:50c3145415bca73ccf3451745081e849c0f4000b4b4c812b8a516a5a8a6d05e0","sha256:fc981b57be5fb6e4ecd9497e9a3c1f53508e3154f873b29d39d3497bb1272ee3"],"state_sha256":"a3e660bbee78a5dcd53e2b03bac065ae2fa91fb93a18b80f1d1d9499dc1efac5"}