{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:BO7AM7JNUVJXADTOVSRITMXJVJ","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":"eb6d4e1ba08ebaa6d6a81aee9d1f6a32ecb637cf6b35a3d4932bcbf182147313","cross_cats_sorted":["hep-lat","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-10-08T21:09:35Z","title_canon_sha256":"91fae592d1c6bfe09152c29ac91a5fb6b313dbb2f694982c65a41f4f397c4db9"},"schema_version":"1.0","source":{"id":"1210.2423","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.2423","created_at":"2026-05-18T03:21:45Z"},{"alias_kind":"arxiv_version","alias_value":"1210.2423v1","created_at":"2026-05-18T03:21:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.2423","created_at":"2026-05-18T03:21:45Z"},{"alias_kind":"pith_short_12","alias_value":"BO7AM7JNUVJX","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"BO7AM7JNUVJXADTO","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"BO7AM7JN","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:edd244a930a20779b68797aeac9087b0ad34d8b89bfced27b76433a64579f684","target":"graph","created_at":"2026-05-18T03:21:45Z","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":"This work is a step towards a non-perturbative continuum definition of quantum field theory (QFT), beginning with asymptotically free two dimensional non-linear sigma-models, using recent ideas from mathematics and QFT. The ideas from mathematics are resurgence theory, the trans-series framework, and Borel-Ecalle resummation. The ideas from QFT use continuity on R^1 x S^1_L, i.e, the absence of any phase transition as N \\to infinity, or rapid-crossovers for finite-N, and the small-L weak coupling limit to render the semi-classical sector well-defined and calculable. We classify semi-classical ","authors_text":"Gerald V. Dunne, Mithat Unsal","cross_cats":["hep-lat","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-10-08T21:09:35Z","title":"Resurgence and Trans-series in Quantum Field Theory: The CP(N-1) Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.2423","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":"sha256:31d403e156f43084e137df0a72139831047b97977844e0a9cf6712eb7c4b6320","target":"record","created_at":"2026-05-18T03:21:45Z","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":"eb6d4e1ba08ebaa6d6a81aee9d1f6a32ecb637cf6b35a3d4932bcbf182147313","cross_cats_sorted":["hep-lat","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-10-08T21:09:35Z","title_canon_sha256":"91fae592d1c6bfe09152c29ac91a5fb6b313dbb2f694982c65a41f4f397c4db9"},"schema_version":"1.0","source":{"id":"1210.2423","kind":"arxiv","version":1}},"canonical_sha256":"0bbe067d2da553700e6eaca289b2e9aa519d299ac7a7846827909b10e723c7ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0bbe067d2da553700e6eaca289b2e9aa519d299ac7a7846827909b10e723c7ae","first_computed_at":"2026-05-18T03:21:45.513688Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:21:45.513688Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I66Gmxef7eQUtx7AnzeBmGR7Q+2kps9cMFXEHRQJHuHDTdNW/fbdaS1CmFjP/lCIwZtXpBA8ADOnitFymNaGAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:21:45.514253Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.2423","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:31d403e156f43084e137df0a72139831047b97977844e0a9cf6712eb7c4b6320","sha256:edd244a930a20779b68797aeac9087b0ad34d8b89bfced27b76433a64579f684"],"state_sha256":"38d1d1c019b236041f8dbccefb26ed679c2559e86e3320bd53d4ed0e39e7068d"}