{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:EELV4OFGVT6DIYHWAWKZVMRXHA","short_pith_number":"pith:EELV4OFG","canonical_record":{"source":{"id":"2507.06845","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"hep-th","submitted_at":"2025-07-09T13:48:33Z","cross_cats_sorted":["hep-ph","nucl-th"],"title_canon_sha256":"eb3ab4720bc9ed36a3201e706327d6c625255b321d0bb0571749875855448bca","abstract_canon_sha256":"3f9599353b35f90fbab1d8c0dbbc629ccda5504425c86dbbced679ceb8181fc9"},"schema_version":"1.0"},"canonical_sha256":"21175e38a6acfc3460f605959ab237381b05e78276f112a16028c8837c074a52","source":{"kind":"arxiv","id":"2507.06845","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.06845","created_at":"2026-07-05T11:40:35Z"},{"alias_kind":"arxiv_version","alias_value":"2507.06845v2","created_at":"2026-07-05T11:40:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.06845","created_at":"2026-07-05T11:40:35Z"},{"alias_kind":"pith_short_12","alias_value":"EELV4OFGVT6D","created_at":"2026-07-05T11:40:35Z"},{"alias_kind":"pith_short_16","alias_value":"EELV4OFGVT6DIYHW","created_at":"2026-07-05T11:40:35Z"},{"alias_kind":"pith_short_8","alias_value":"EELV4OFG","created_at":"2026-07-05T11:40:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:EELV4OFGVT6DIYHWAWKZVMRXHA","target":"record","payload":{"canonical_record":{"source":{"id":"2507.06845","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"hep-th","submitted_at":"2025-07-09T13:48:33Z","cross_cats_sorted":["hep-ph","nucl-th"],"title_canon_sha256":"eb3ab4720bc9ed36a3201e706327d6c625255b321d0bb0571749875855448bca","abstract_canon_sha256":"3f9599353b35f90fbab1d8c0dbbc629ccda5504425c86dbbced679ceb8181fc9"},"schema_version":"1.0"},"canonical_sha256":"21175e38a6acfc3460f605959ab237381b05e78276f112a16028c8837c074a52","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:40:35.375026Z","signature_b64":"y7MqfYXJmZUaxtMPIiugdhdrD63zYF1qOECkYyzs3hjFN8AhuWGqmMijonCPK0MznynaecZNCgVXROgQDZdXCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"21175e38a6acfc3460f605959ab237381b05e78276f112a16028c8837c074a52","last_reissued_at":"2026-07-05T11:40:35.374499Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:40:35.374499Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.06845","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:40:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0TffjgzQhKKbSgqxmjlAc106ITvmcMK/h61BmM2hg0FjQDgufHGk36XX/iBHAiMt1JAn+6XiUYZ2WBbcdPvyDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T10:53:56.975860Z"},"content_sha256":"b4be8b95e6e940d9661ffffd82de3fc65587d953ea8529f015bc847061e1c624","schema_version":"1.0","event_id":"sha256:b4be8b95e6e940d9661ffffd82de3fc65587d953ea8529f015bc847061e1c624"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:EELV4OFGVT6DIYHWAWKZVMRXHA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Transition from weak to strong coupling in thermal gauge theories: Lessons from ${\\cal N}=4$ SYM Theory","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["hep-ph","nucl-th"],"primary_cat":"hep-th","authors_text":"Berndt M\\\"uller","submitted_at":"2025-07-09T13:48:33Z","abstract_excerpt":"We investigate the transition between weak and strong coupling in thermal ${\\cal N}=4$ supersymmetric Yang-Mills (SYM) theory as a function of 't Hooft coupling $\\lambda$ for several quantities of phenomenological interest for which next-to-leading order calculations are available in both regimes. We use Pad\\'e approximants to interpolate between the weak and strong coupling expansions and determine the location and width of the transition between the asymptotic regimes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.06845","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/2507.06845/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:40:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EeIhD2JRY3oBsiZl+DJPj54tPK+gHsx6idN4JMPlsMAuoNgrS2WS+LoeN8G111FzBM4E36h29qAun9itX4RfAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T10:53:56.976824Z"},"content_sha256":"b4f4ece85bc1b44c8eec6d17c8e77a91fd9199cb3b1c01aa845f6ad5c7b0763b","schema_version":"1.0","event_id":"sha256:b4f4ece85bc1b44c8eec6d17c8e77a91fd9199cb3b1c01aa845f6ad5c7b0763b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EELV4OFGVT6DIYHWAWKZVMRXHA/bundle.json","state_url":"https://pith.science/pith/EELV4OFGVT6DIYHWAWKZVMRXHA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EELV4OFGVT6DIYHWAWKZVMRXHA/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-07T10:53:56Z","links":{"resolver":"https://pith.science/pith/EELV4OFGVT6DIYHWAWKZVMRXHA","bundle":"https://pith.science/pith/EELV4OFGVT6DIYHWAWKZVMRXHA/bundle.json","state":"https://pith.science/pith/EELV4OFGVT6DIYHWAWKZVMRXHA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EELV4OFGVT6DIYHWAWKZVMRXHA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:EELV4OFGVT6DIYHWAWKZVMRXHA","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":"3f9599353b35f90fbab1d8c0dbbc629ccda5504425c86dbbced679ceb8181fc9","cross_cats_sorted":["hep-ph","nucl-th"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"hep-th","submitted_at":"2025-07-09T13:48:33Z","title_canon_sha256":"eb3ab4720bc9ed36a3201e706327d6c625255b321d0bb0571749875855448bca"},"schema_version":"1.0","source":{"id":"2507.06845","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.06845","created_at":"2026-07-05T11:40:35Z"},{"alias_kind":"arxiv_version","alias_value":"2507.06845v2","created_at":"2026-07-05T11:40:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.06845","created_at":"2026-07-05T11:40:35Z"},{"alias_kind":"pith_short_12","alias_value":"EELV4OFGVT6D","created_at":"2026-07-05T11:40:35Z"},{"alias_kind":"pith_short_16","alias_value":"EELV4OFGVT6DIYHW","created_at":"2026-07-05T11:40:35Z"},{"alias_kind":"pith_short_8","alias_value":"EELV4OFG","created_at":"2026-07-05T11:40:35Z"}],"graph_snapshots":[{"event_id":"sha256:b4f4ece85bc1b44c8eec6d17c8e77a91fd9199cb3b1c01aa845f6ad5c7b0763b","target":"graph","created_at":"2026-07-05T11:40:35Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2507.06845/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the transition between weak and strong coupling in thermal ${\\cal N}=4$ supersymmetric Yang-Mills (SYM) theory as a function of 't Hooft coupling $\\lambda$ for several quantities of phenomenological interest for which next-to-leading order calculations are available in both regimes. We use Pad\\'e approximants to interpolate between the weak and strong coupling expansions and determine the location and width of the transition between the asymptotic regimes.","authors_text":"Berndt M\\\"uller","cross_cats":["hep-ph","nucl-th"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"hep-th","submitted_at":"2025-07-09T13:48:33Z","title":"Transition from weak to strong coupling in thermal gauge theories: Lessons from ${\\cal N}=4$ SYM Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.06845","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:b4be8b95e6e940d9661ffffd82de3fc65587d953ea8529f015bc847061e1c624","target":"record","created_at":"2026-07-05T11:40:35Z","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":"3f9599353b35f90fbab1d8c0dbbc629ccda5504425c86dbbced679ceb8181fc9","cross_cats_sorted":["hep-ph","nucl-th"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"hep-th","submitted_at":"2025-07-09T13:48:33Z","title_canon_sha256":"eb3ab4720bc9ed36a3201e706327d6c625255b321d0bb0571749875855448bca"},"schema_version":"1.0","source":{"id":"2507.06845","kind":"arxiv","version":2}},"canonical_sha256":"21175e38a6acfc3460f605959ab237381b05e78276f112a16028c8837c074a52","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"21175e38a6acfc3460f605959ab237381b05e78276f112a16028c8837c074a52","first_computed_at":"2026-07-05T11:40:35.374499Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:40:35.374499Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"y7MqfYXJmZUaxtMPIiugdhdrD63zYF1qOECkYyzs3hjFN8AhuWGqmMijonCPK0MznynaecZNCgVXROgQDZdXCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:40:35.375026Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.06845","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b4be8b95e6e940d9661ffffd82de3fc65587d953ea8529f015bc847061e1c624","sha256:b4f4ece85bc1b44c8eec6d17c8e77a91fd9199cb3b1c01aa845f6ad5c7b0763b"],"state_sha256":"d8ffe0bbca15126812b00f2b0e1d46e4ea3d119ad674f2c7e5904bac8474b1b7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m7Z7Lo2M9cwTcJNjLwlRcyccDycPvclXsbYkE65IpBUTh0USNtIXUnCmizAxcUOObJj2V/xis4CrhaArFPMzBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T10:53:56.982800Z","bundle_sha256":"5e29e64f1f62467056e06a820c777d2c4be79fe9d65f08e27a0d84e2d59fa569"}}