{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:LOA6FNK772MLAWRYYP2XDDVZIA","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":"023f9f348665b3edf3ba53f5277e076f3c9e03590b99117cd9a51e82b2761012","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1995-01-13T12:26:25Z","title_canon_sha256":"a1ce51c55649de11cae8d866b57d6ca8233d5b5f2595a1422cecdfd0f91a7d5a"},"schema_version":"1.0","source":{"id":"hep-th/9501048","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9501048","created_at":"2026-05-18T04:38:05Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9501048v1","created_at":"2026-05-18T04:38:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9501048","created_at":"2026-05-18T04:38:05Z"},{"alias_kind":"pith_short_12","alias_value":"LOA6FNK772ML","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"LOA6FNK772MLAWRY","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"LOA6FNK7","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:75099b73763c5436199d919afe202f080af2828d84f512a9b0f66bb43cda4ad6","target":"graph","created_at":"2026-05-18T04:38:05Z","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 apply the Mellin-Barnes integral representation to several situations of interest in mathematical-physics. At the purely mathematical level, we derive useful asymptotic expansions of different zeta-functions and partition functions. These results are then employed in different topics of quantum field theory, which include the high-temperature expansion of the free energy of a scalar field in ultrastatic curved spacetime, the asymptotics of the $p$-brane density of states, and an explicit approach to the asymptotics of the determinants that appear in string theory.","authors_text":"E. Elizalde, K. Kirsten, S. Zerbini","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1995-01-13T12:26:25Z","title":"Applications of the Mellin-Barnes integral representation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9501048","kind":"arxiv","version":1},"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":"sha256:86ed218ddbffef84103896cb12d7bdc21ceb3f64daf7df2d0d008b86bd866e08","target":"record","created_at":"2026-05-18T04:38:05Z","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":"023f9f348665b3edf3ba53f5277e076f3c9e03590b99117cd9a51e82b2761012","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1995-01-13T12:26:25Z","title_canon_sha256":"a1ce51c55649de11cae8d866b57d6ca8233d5b5f2595a1422cecdfd0f91a7d5a"},"schema_version":"1.0","source":{"id":"hep-th/9501048","kind":"arxiv","version":1}},"canonical_sha256":"5b81e2b55ffe98b05a38c3f5718eb940173fe370edaadef555260bc94a31a560","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b81e2b55ffe98b05a38c3f5718eb940173fe370edaadef555260bc94a31a560","first_computed_at":"2026-05-18T04:38:05.493388Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:38:05.493388Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e4CYyE1wamV1HJheBF3Qa68zMYPUQGsH8CvmClDOr4v0PBanDD70eUJUjv06srN5G2YkNqm4ETw7Ua/POp6nCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:38:05.493937Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9501048","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86ed218ddbffef84103896cb12d7bdc21ceb3f64daf7df2d0d008b86bd866e08","sha256:75099b73763c5436199d919afe202f080af2828d84f512a9b0f66bb43cda4ad6"],"state_sha256":"803c5aaa65c23f0c5de7f8d25d981b65e568d32fb8b1e54d239f83a49d343be4"}