{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:RFJHFJDFG7HIEVM6GMGQ66B34X","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":"cf76caa56a0942b2b8c5c6e28b21e8e45d4aad68bfca00c95f5b5e5d122cde7f","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-12-24T04:33:59Z","title_canon_sha256":"c5464f8eea5eaeb8c9e25da4a9253cf99282960b95a445b506d4882ba8978098"},"schema_version":"1.0","source":{"id":"1912.11202","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1912.11202","created_at":"2026-07-05T04:40:05Z"},{"alias_kind":"arxiv_version","alias_value":"1912.11202v3","created_at":"2026-07-05T04:40:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1912.11202","created_at":"2026-07-05T04:40:05Z"},{"alias_kind":"pith_short_12","alias_value":"RFJHFJDFG7HI","created_at":"2026-07-05T04:40:05Z"},{"alias_kind":"pith_short_16","alias_value":"RFJHFJDFG7HIEVM6","created_at":"2026-07-05T04:40:05Z"},{"alias_kind":"pith_short_8","alias_value":"RFJHFJDF","created_at":"2026-07-05T04:40:05Z"}],"graph_snapshots":[{"event_id":"sha256:ef352b88a714b3dd4c514f3663ba729effd8addf5567b1804718164cdf002f23","target":"graph","created_at":"2026-07-05T04:40:05Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1912.11202/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the perturbative quantization of 2-dimensional massive scalar field theory with polynomial (or power series) potential on manifolds with boundary. We prove that it fits into the functorial quantum field theory framework of Atiyah-Segal. In particular, we prove that the perturbative partition function defined in terms of integrals over configuration spaces of points on the surface satisfies an Atiyah-Segal type gluing formula. Tadpoles (short loops) behave nontrivially under gluing and play a crucial role in the result.","authors_text":"Konstantin Wernli, Pavel Mnev, Santosh Kandel","cross_cats":["hep-th","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-12-24T04:33:59Z","title":"Two-dimensional perturbative scalar QFT and Atiyah-Segal gluing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.11202","kind":"arxiv","version":3},"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":"sha256:830c494993167f86dec949b2a95f2a1581de0c613a265bd43f63e6a0f658e731","target":"record","created_at":"2026-07-05T04:40:05Z","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":"cf76caa56a0942b2b8c5c6e28b21e8e45d4aad68bfca00c95f5b5e5d122cde7f","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-12-24T04:33:59Z","title_canon_sha256":"c5464f8eea5eaeb8c9e25da4a9253cf99282960b95a445b506d4882ba8978098"},"schema_version":"1.0","source":{"id":"1912.11202","kind":"arxiv","version":3}},"canonical_sha256":"895272a46537ce82559e330d0f783be5e250370f3074ec8fe60cc2ecf119bc9b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"895272a46537ce82559e330d0f783be5e250370f3074ec8fe60cc2ecf119bc9b","first_computed_at":"2026-07-05T04:40:05.708517Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:40:05.708517Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZXaK7TguF1METd3cHVO7oChSz74bMkE+8Qm6XqIXd9CW0BWWydu83e4beu2EylY6EtzY3dR4UezYB/0ZqLWOBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:40:05.708910Z","signed_message":"canonical_sha256_bytes"},"source_id":"1912.11202","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:830c494993167f86dec949b2a95f2a1581de0c613a265bd43f63e6a0f658e731","sha256:ef352b88a714b3dd4c514f3663ba729effd8addf5567b1804718164cdf002f23"],"state_sha256":"dc59c8b59bba0a689822b9ab756032e00a08420b69428a089734c1ac566e67ad"}