{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:HZAMGVNX4ANI264I67YJONONQI","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":"363a6cc82c7174658e75a9853059c2532c9086adf35f417e29f992fbfab64a32","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-02-23T17:10:31Z","title_canon_sha256":"c2262f15f7f4174f83e28e6103e8543f2b187af3a799e005a2ec3ca2fbaf289a"},"schema_version":"1.0","source":{"id":"1603.04458","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.04458","created_at":"2026-05-18T01:15:22Z"},{"alias_kind":"arxiv_version","alias_value":"1603.04458v2","created_at":"2026-05-18T01:15:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.04458","created_at":"2026-05-18T01:15:22Z"},{"alias_kind":"pith_short_12","alias_value":"HZAMGVNX4ANI","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"HZAMGVNX4ANI264I","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"HZAMGVNX","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:55a0e534b970b14c3ed8e611e3270f3d95fb3adb5e42ae5ce8f946be1d9a4aef","target":"graph","created_at":"2026-05-18T01:15:22Z","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":"The site reduction of U(1) lattice gauge theory is used to model the 0-branes in the dual theory. The reduced theory is the 1D plane-rotator model of the angle-valued coordinates on discrete world-line. The energy spectrum is obtained exactly via the transfer-matrix method, with a minimum in the lowest energy as a direct consequence of compact nature of coordinates. Below the critical coupling $g_c=1.125$ and temperature $T_c=0.335$ the system undergoes a first order phase transition between coexistent phases with lower and higher gauge couplings. The possible relation between the model and th","authors_text":"Amir H. Fatollahi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-02-23T17:10:31Z","title":"Phase Transition by 0-Branes of U(1) Lattice Gauge Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.04458","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:a6b4745413dfc891d587dcdcce0c0e87b7d28d85c3e7a6b1d092a08ebf8c9b48","target":"record","created_at":"2026-05-18T01:15:22Z","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":"363a6cc82c7174658e75a9853059c2532c9086adf35f417e29f992fbfab64a32","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-02-23T17:10:31Z","title_canon_sha256":"c2262f15f7f4174f83e28e6103e8543f2b187af3a799e005a2ec3ca2fbaf289a"},"schema_version":"1.0","source":{"id":"1603.04458","kind":"arxiv","version":2}},"canonical_sha256":"3e40c355b7e01a8d7b88f7f09735cd823248e91d32f8412bf2a21dd85a505854","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e40c355b7e01a8d7b88f7f09735cd823248e91d32f8412bf2a21dd85a505854","first_computed_at":"2026-05-18T01:15:22.514520Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:22.514520Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/rNeHo/rLM4B+OWPaXdGgDP2pXFLYnTALoDM3KNu98KzY23I67bGRxsQ2Yiu9ZC1o6GbpQFSqTA+fcIw5aUhAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:22.515229Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.04458","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a6b4745413dfc891d587dcdcce0c0e87b7d28d85c3e7a6b1d092a08ebf8c9b48","sha256:55a0e534b970b14c3ed8e611e3270f3d95fb3adb5e42ae5ce8f946be1d9a4aef"],"state_sha256":"cc14478afc89bbe12a52b899605bd32f285c5c233bf7d212112dd4ef6d896324"}