{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:LXXI7OXMJMOD3EJ5J6JANJVFGO","short_pith_number":"pith:LXXI7OXM","canonical_record":{"source":{"id":"1205.0196","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-th","submitted_at":"2012-05-01T15:53:11Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"6f2c12acb8acc452ceaf5c97d3687473314ae3804db4fb4ad5d2e816dc6a99cf","abstract_canon_sha256":"9aeab66383ad8567587583f6dae7ea6a794e1d3598d61e00a288068096e739cb"},"schema_version":"1.0"},"canonical_sha256":"5dee8fbaec4b1c3d913d4f9206a6a533b99126f0ad055560d3508ca7989bd8bc","source":{"kind":"arxiv","id":"1205.0196","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.0196","created_at":"2026-05-18T03:56:35Z"},{"alias_kind":"arxiv_version","alias_value":"1205.0196v1","created_at":"2026-05-18T03:56:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.0196","created_at":"2026-05-18T03:56:35Z"},{"alias_kind":"pith_short_12","alias_value":"LXXI7OXMJMOD","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LXXI7OXMJMOD3EJ5","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LXXI7OXM","created_at":"2026-05-18T12:27:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:LXXI7OXMJMOD3EJ5J6JANJVFGO","target":"record","payload":{"canonical_record":{"source":{"id":"1205.0196","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-th","submitted_at":"2012-05-01T15:53:11Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"6f2c12acb8acc452ceaf5c97d3687473314ae3804db4fb4ad5d2e816dc6a99cf","abstract_canon_sha256":"9aeab66383ad8567587583f6dae7ea6a794e1d3598d61e00a288068096e739cb"},"schema_version":"1.0"},"canonical_sha256":"5dee8fbaec4b1c3d913d4f9206a6a533b99126f0ad055560d3508ca7989bd8bc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:56:35.647189Z","signature_b64":"5GpK4JuxtgNRWdA5nTnanigWSBASk9tKlVzYm666IcsbUtfezOvog2Q3hueysJPJMvKOOljAT7cEWhLCnP+BCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5dee8fbaec4b1c3d913d4f9206a6a533b99126f0ad055560d3508ca7989bd8bc","last_reissued_at":"2026-05-18T03:56:35.646745Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:56:35.646745Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1205.0196","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:56:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k+ZB6PKRizEyxTK4oFtrvKITDxajiMtBuG0zU2cfgH4XzmCxzOyayle1xXIru1MUqy5zz3temawFb1C33CLyCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T23:16:11.767167Z"},"content_sha256":"5844c065687e07548a9bf2a71afe74780bdfb49a965a7465c19d42fca62182b6","schema_version":"1.0","event_id":"sha256:5844c065687e07548a9bf2a71afe74780bdfb49a965a7465c19d42fca62182b6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:LXXI7OXMJMOD3EJ5J6JANJVFGO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Constructive Renormalization of 2-dimensional Grosse-Wulkenhaar Model","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Zhituo Wang","submitted_at":"2012-05-01T15:53:11Z","abstract_excerpt":"In this talk we briefly report the recent work on the construction of the 2-dimensional Grosse-Wulkenhaar model with the method of loop vertex expansion. We treat renormalization with this new tool, adapt Nelson's argument and prove Borel summability of the perturbation series. This is the first non-commutative quantum field theory model to be built in a non-perturbative sense."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.0196","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T03:56:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6CnjTVc/2WNEJuZH7VBxehv1VizVCDNVlw3Sv1z1pCUjB9lJejibWkzsZuIQfEXUm08z8zytg/CGniKZDsBxDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T23:16:11.767530Z"},"content_sha256":"f84992f702b08f6f465bc3dae3776cffba126af9780fd986486c957f812f8759","schema_version":"1.0","event_id":"sha256:f84992f702b08f6f465bc3dae3776cffba126af9780fd986486c957f812f8759"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LXXI7OXMJMOD3EJ5J6JANJVFGO/bundle.json","state_url":"https://pith.science/pith/LXXI7OXMJMOD3EJ5J6JANJVFGO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LXXI7OXMJMOD3EJ5J6JANJVFGO/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":"2026-07-02T23:16:11Z","links":{"resolver":"https://pith.science/pith/LXXI7OXMJMOD3EJ5J6JANJVFGO","bundle":"https://pith.science/pith/LXXI7OXMJMOD3EJ5J6JANJVFGO/bundle.json","state":"https://pith.science/pith/LXXI7OXMJMOD3EJ5J6JANJVFGO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LXXI7OXMJMOD3EJ5J6JANJVFGO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:LXXI7OXMJMOD3EJ5J6JANJVFGO","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":"9aeab66383ad8567587583f6dae7ea6a794e1d3598d61e00a288068096e739cb","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-th","submitted_at":"2012-05-01T15:53:11Z","title_canon_sha256":"6f2c12acb8acc452ceaf5c97d3687473314ae3804db4fb4ad5d2e816dc6a99cf"},"schema_version":"1.0","source":{"id":"1205.0196","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.0196","created_at":"2026-05-18T03:56:35Z"},{"alias_kind":"arxiv_version","alias_value":"1205.0196v1","created_at":"2026-05-18T03:56:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.0196","created_at":"2026-05-18T03:56:35Z"},{"alias_kind":"pith_short_12","alias_value":"LXXI7OXMJMOD","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LXXI7OXMJMOD3EJ5","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LXXI7OXM","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:f84992f702b08f6f465bc3dae3776cffba126af9780fd986486c957f812f8759","target":"graph","created_at":"2026-05-18T03:56:35Z","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"},"paper":{"abstract_excerpt":"In this talk we briefly report the recent work on the construction of the 2-dimensional Grosse-Wulkenhaar model with the method of loop vertex expansion. We treat renormalization with this new tool, adapt Nelson's argument and prove Borel summability of the perturbation series. This is the first non-commutative quantum field theory model to be built in a non-perturbative sense.","authors_text":"Zhituo Wang","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-th","submitted_at":"2012-05-01T15:53:11Z","title":"Constructive Renormalization of 2-dimensional Grosse-Wulkenhaar Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.0196","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":"sha256:5844c065687e07548a9bf2a71afe74780bdfb49a965a7465c19d42fca62182b6","target":"record","created_at":"2026-05-18T03:56:35Z","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":"9aeab66383ad8567587583f6dae7ea6a794e1d3598d61e00a288068096e739cb","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-th","submitted_at":"2012-05-01T15:53:11Z","title_canon_sha256":"6f2c12acb8acc452ceaf5c97d3687473314ae3804db4fb4ad5d2e816dc6a99cf"},"schema_version":"1.0","source":{"id":"1205.0196","kind":"arxiv","version":1}},"canonical_sha256":"5dee8fbaec4b1c3d913d4f9206a6a533b99126f0ad055560d3508ca7989bd8bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5dee8fbaec4b1c3d913d4f9206a6a533b99126f0ad055560d3508ca7989bd8bc","first_computed_at":"2026-05-18T03:56:35.646745Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:56:35.646745Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5GpK4JuxtgNRWdA5nTnanigWSBASk9tKlVzYm666IcsbUtfezOvog2Q3hueysJPJMvKOOljAT7cEWhLCnP+BCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:56:35.647189Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.0196","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5844c065687e07548a9bf2a71afe74780bdfb49a965a7465c19d42fca62182b6","sha256:f84992f702b08f6f465bc3dae3776cffba126af9780fd986486c957f812f8759"],"state_sha256":"2b2686b827a810b6235dee7a4172a0ea82c488e638e952855183757cc4df66e5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dgdoE9nA9RmsFRrzuDl3rhApPoyNhjymwV8sIgiTMSNLh+vJKZYd994MdjManUtxMvfQy0r+RAkQI3VYG7mkCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T23:16:11.769731Z","bundle_sha256":"98619595528ac0d9b05bc424a05d5507c75eb7c74de117b19cbc0edb930e1ada"}}