{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:CLEPALP7FLE7LFGFFE4EIJ3UPX","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":"0aed00d0ab56a83a44ff20641061b7dd6619832de99dfd15fc118351a23f2bd6","cross_cats_sorted":["hep-ph","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-14T02:20:28Z","title_canon_sha256":"cef86fc503bbe5be5505ba969420e08bbd5c9b2e0c14c1613322cdefce88d4fa"},"schema_version":"1.0","source":{"id":"1307.3689","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.3689","created_at":"2026-05-18T03:15:57Z"},{"alias_kind":"arxiv_version","alias_value":"1307.3689v2","created_at":"2026-05-18T03:15:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.3689","created_at":"2026-05-18T03:15:57Z"},{"alias_kind":"pith_short_12","alias_value":"CLEPALP7FLE7","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CLEPALP7FLE7LFGF","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CLEPALP7","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:c3bf9b6efd7a18ed383c68637968c5a1c82fa981481516957bf45160e605a687","target":"graph","created_at":"2026-05-18T03:15:57Z","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 propose the use of two point Pade approximants to find expressions valid uniformly in coupling constant for theories with both weak and strong coupling expansions. In particular, one can use these approximants in models with a strong/weak duality, when the symmetries do not determine exact expressions for some quantity.","authors_text":"T.J. Torres, Tom Banks","cross_cats":["hep-ph","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-14T02:20:28Z","title":"Two Point Pade Approximants and Duality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.3689","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":"sha256:28f102656a244f0fbd2686eb9250b3afc481b95d9e923db2fcc07d652fad8ba5","target":"record","created_at":"2026-05-18T03:15:57Z","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":"0aed00d0ab56a83a44ff20641061b7dd6619832de99dfd15fc118351a23f2bd6","cross_cats_sorted":["hep-ph","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-14T02:20:28Z","title_canon_sha256":"cef86fc503bbe5be5505ba969420e08bbd5c9b2e0c14c1613322cdefce88d4fa"},"schema_version":"1.0","source":{"id":"1307.3689","kind":"arxiv","version":2}},"canonical_sha256":"12c8f02dff2ac9f594c529384427747df3b44c9b76be926a3a287eddb62208b4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"12c8f02dff2ac9f594c529384427747df3b44c9b76be926a3a287eddb62208b4","first_computed_at":"2026-05-18T03:15:57.196970Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:15:57.196970Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VrllUyVJqm4nzJBUU97a7tfHp5Ok9VSz/6eY6GhL/W/cKrp8LiD8PhdRbioVDuRPODdfaRdadzfOoQQbQVVEAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:15:57.197741Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.3689","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:28f102656a244f0fbd2686eb9250b3afc481b95d9e923db2fcc07d652fad8ba5","sha256:c3bf9b6efd7a18ed383c68637968c5a1c82fa981481516957bf45160e605a687"],"state_sha256":"17140753e5bc93ff93906bc03fc860c14e5bc7aceabc8cce1e85d45a382f5c2d"}