{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:XKKE4FTY6VR62J74RNDZSEHMGI","short_pith_number":"pith:XKKE4FTY","schema_version":"1.0","canonical_sha256":"ba944e1678f563ed27fc8b479910ec32329d218cef73fafadcb31986f205e7f1","source":{"kind":"arxiv","id":"hep-th/0408178","version":3},"attestation_state":"computed","paper":{"title":"A Pendant for Polya: The One-Loop Partition Function of N=4 SYM on R x S^3","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Anastasia Volovich, Marcus Spradlin","submitted_at":"2004-08-23T19:20:03Z","abstract_excerpt":"We study weakly coupled SU(N) N = 4 super Yang-Mills theory on R x S^3 at infinite N, which has interesting thermodynamics, including a Hagedorn transition, even at zero Yang-Mills coupling. We calculate the exact one-loop partition function below the Hagedorn temperature. Our calculation employs the representation of the one-loop dilatation operator as a spin chain Hamiltonian acting on neighboring sites and a generalization of Polya's counting of `necklaces' (gauge-invariant operators) to include necklaces with a `pendant' (an operator which acts on neighboring beads). We find that the one-l"},"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":"hep-th/0408178","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2004-08-23T19:20:03Z","cross_cats_sorted":[],"title_canon_sha256":"c402d3748906f7b3c2ee7fa8d58a528f4f51b9194e86c352e026f0525fe0fdfa","abstract_canon_sha256":"49767cc2660f33719e35b4a3643b0e12b10ca0e0eb5a55e441e59b5c6d76f49f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:49:00.423465Z","signature_b64":"/28fsx6LU2f+BLWsTFKEzMESQcog4wz4f501VWXXhX3AEth1PmnaJjyC4W4ICget1QNMtuGCIXYdQrGWddEDDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ba944e1678f563ed27fc8b479910ec32329d218cef73fafadcb31986f205e7f1","last_reissued_at":"2026-07-04T16:49:00.423081Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:49:00.423081Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Pendant for Polya: The One-Loop Partition Function of N=4 SYM on R x S^3","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Anastasia Volovich, Marcus Spradlin","submitted_at":"2004-08-23T19:20:03Z","abstract_excerpt":"We study weakly coupled SU(N) N = 4 super Yang-Mills theory on R x S^3 at infinite N, which has interesting thermodynamics, including a Hagedorn transition, even at zero Yang-Mills coupling. We calculate the exact one-loop partition function below the Hagedorn temperature. Our calculation employs the representation of the one-loop dilatation operator as a spin chain Hamiltonian acting on neighboring sites and a generalization of Polya's counting of `necklaces' (gauge-invariant operators) to include necklaces with a `pendant' (an operator which acts on neighboring beads). We find that the one-l"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0408178","kind":"arxiv","version":3},"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/0408178/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":"hep-th/0408178","created_at":"2026-07-04T16:49:00.423142+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0408178v3","created_at":"2026-07-04T16:49:00.423142+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0408178","created_at":"2026-07-04T16:49:00.423142+00:00"},{"alias_kind":"pith_short_12","alias_value":"XKKE4FTY6VR6","created_at":"2026-07-04T16:49:00.423142+00:00"},{"alias_kind":"pith_short_16","alias_value":"XKKE4FTY6VR62J74","created_at":"2026-07-04T16:49:00.423142+00:00"},{"alias_kind":"pith_short_8","alias_value":"XKKE4FTY","created_at":"2026-07-04T16:49:00.423142+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/XKKE4FTY6VR62J74RNDZSEHMGI","json":"https://pith.science/pith/XKKE4FTY6VR62J74RNDZSEHMGI.json","graph_json":"https://pith.science/api/pith-number/XKKE4FTY6VR62J74RNDZSEHMGI/graph.json","events_json":"https://pith.science/api/pith-number/XKKE4FTY6VR62J74RNDZSEHMGI/events.json","paper":"https://pith.science/paper/XKKE4FTY"},"agent_actions":{"view_html":"https://pith.science/pith/XKKE4FTY6VR62J74RNDZSEHMGI","download_json":"https://pith.science/pith/XKKE4FTY6VR62J74RNDZSEHMGI.json","view_paper":"https://pith.science/paper/XKKE4FTY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0408178&json=true","fetch_graph":"https://pith.science/api/pith-number/XKKE4FTY6VR62J74RNDZSEHMGI/graph.json","fetch_events":"https://pith.science/api/pith-number/XKKE4FTY6VR62J74RNDZSEHMGI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XKKE4FTY6VR62J74RNDZSEHMGI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XKKE4FTY6VR62J74RNDZSEHMGI/action/storage_attestation","attest_author":"https://pith.science/pith/XKKE4FTY6VR62J74RNDZSEHMGI/action/author_attestation","sign_citation":"https://pith.science/pith/XKKE4FTY6VR62J74RNDZSEHMGI/action/citation_signature","submit_replication":"https://pith.science/pith/XKKE4FTY6VR62J74RNDZSEHMGI/action/replication_record"}},"created_at":"2026-07-04T16:49:00.423142+00:00","updated_at":"2026-07-04T16:49:00.423142+00:00"}