{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:KN6WX6XDYJFTFSERUBWHANTGNO","short_pith_number":"pith:KN6WX6XD","schema_version":"1.0","canonical_sha256":"537d6bfae3c24b32c891a06c7036666b9c93c57ba24c277eedd84f94974a8a78","source":{"kind":"arxiv","id":"2202.08663","version":2},"attestation_state":"computed","paper":{"title":"Circuit Complexity for Coherent-Thermal States in Bosonic String Theory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP","quant-ph"],"primary_cat":"hep-th","authors_text":"Arshid Shabir, Mir Faizal, Salman Sajad Wani, Sanjib Dey, Seemin Rubab, Suhail Lone","submitted_at":"2022-02-17T13:51:23Z","abstract_excerpt":"In this paper, we first construct thermofield double states for bosonic string theory in the light-cone gauge. We then obtain a coherent-thermal string state and a thermal-coherent string state. We use the covariance matrix approach to calculate the circuit complexity of coherent-thermal string states. In this approach, we generate the optimal geodesics by a horizontal string generator, and then obtain the circuit complexity using the length of the minimal geodesics in the group manifold."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2202.08663","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-02-17T13:51:23Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"0c4b801d00bc1c8706fe11faf2773b04a6257668458879797c5dd7fb119cdec8","abstract_canon_sha256":"13b28a20654bf69b452b41ad18dd5c99d6df69024c1ce1a04fcce27044bc1329"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:54:11.925433Z","signature_b64":"AK2QDUqVCn0ReryInaqhWgWFE8B+rRoMhHmxK8n7/fjx4lopoL4nYgS/TFQULL1uoLmjDSYdrWqp0wZJzknjAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"537d6bfae3c24b32c891a06c7036666b9c93c57ba24c277eedd84f94974a8a78","last_reissued_at":"2026-07-05T06:54:11.924960Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:54:11.924960Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Circuit Complexity for Coherent-Thermal States in Bosonic String Theory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP","quant-ph"],"primary_cat":"hep-th","authors_text":"Arshid Shabir, Mir Faizal, Salman Sajad Wani, Sanjib Dey, Seemin Rubab, Suhail Lone","submitted_at":"2022-02-17T13:51:23Z","abstract_excerpt":"In this paper, we first construct thermofield double states for bosonic string theory in the light-cone gauge. We then obtain a coherent-thermal string state and a thermal-coherent string state. We use the covariance matrix approach to calculate the circuit complexity of coherent-thermal string states. In this approach, we generate the optimal geodesics by a horizontal string generator, and then obtain the circuit complexity using the length of the minimal geodesics in the group manifold."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.08663","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2202.08663/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2202.08663","created_at":"2026-07-05T06:54:11.925018+00:00"},{"alias_kind":"arxiv_version","alias_value":"2202.08663v2","created_at":"2026-07-05T06:54:11.925018+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.08663","created_at":"2026-07-05T06:54:11.925018+00:00"},{"alias_kind":"pith_short_12","alias_value":"KN6WX6XDYJFT","created_at":"2026-07-05T06:54:11.925018+00:00"},{"alias_kind":"pith_short_16","alias_value":"KN6WX6XDYJFTFSER","created_at":"2026-07-05T06:54:11.925018+00:00"},{"alias_kind":"pith_short_8","alias_value":"KN6WX6XD","created_at":"2026-07-05T06:54:11.925018+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KN6WX6XDYJFTFSERUBWHANTGNO","json":"https://pith.science/pith/KN6WX6XDYJFTFSERUBWHANTGNO.json","graph_json":"https://pith.science/api/pith-number/KN6WX6XDYJFTFSERUBWHANTGNO/graph.json","events_json":"https://pith.science/api/pith-number/KN6WX6XDYJFTFSERUBWHANTGNO/events.json","paper":"https://pith.science/paper/KN6WX6XD"},"agent_actions":{"view_html":"https://pith.science/pith/KN6WX6XDYJFTFSERUBWHANTGNO","download_json":"https://pith.science/pith/KN6WX6XDYJFTFSERUBWHANTGNO.json","view_paper":"https://pith.science/paper/KN6WX6XD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2202.08663&json=true","fetch_graph":"https://pith.science/api/pith-number/KN6WX6XDYJFTFSERUBWHANTGNO/graph.json","fetch_events":"https://pith.science/api/pith-number/KN6WX6XDYJFTFSERUBWHANTGNO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KN6WX6XDYJFTFSERUBWHANTGNO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KN6WX6XDYJFTFSERUBWHANTGNO/action/storage_attestation","attest_author":"https://pith.science/pith/KN6WX6XDYJFTFSERUBWHANTGNO/action/author_attestation","sign_citation":"https://pith.science/pith/KN6WX6XDYJFTFSERUBWHANTGNO/action/citation_signature","submit_replication":"https://pith.science/pith/KN6WX6XDYJFTFSERUBWHANTGNO/action/replication_record"}},"created_at":"2026-07-05T06:54:11.925018+00:00","updated_at":"2026-07-05T06:54:11.925018+00:00"}