{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:5OA2EOGO6NOOYZ6JR6AJXRKMHW","short_pith_number":"pith:5OA2EOGO","canonical_record":{"source":{"id":"2412.10496","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-13T19:00:00Z","cross_cats_sorted":["math-ph","math.MP","nucl-th"],"title_canon_sha256":"24bcd6845105513338f7ff07b432a6185b17edc10baaadb6709fd085b108bc7d","abstract_canon_sha256":"37695772d2b91a65cbdad0300edcdfc54b54b9a068cbc85ce9842ff9cfbb6fe9"},"schema_version":"1.0"},"canonical_sha256":"eb81a238cef35cec67c98f809bc54c3d8124f7890115ff68ad8f495907ffd885","source":{"kind":"arxiv","id":"2412.10496","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.10496","created_at":"2026-07-05T09:49:16Z"},{"alias_kind":"arxiv_version","alias_value":"2412.10496v1","created_at":"2026-07-05T09:49:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.10496","created_at":"2026-07-05T09:49:16Z"},{"alias_kind":"pith_short_12","alias_value":"5OA2EOGO6NOO","created_at":"2026-07-05T09:49:16Z"},{"alias_kind":"pith_short_16","alias_value":"5OA2EOGO6NOOYZ6J","created_at":"2026-07-05T09:49:16Z"},{"alias_kind":"pith_short_8","alias_value":"5OA2EOGO","created_at":"2026-07-05T09:49:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:5OA2EOGO6NOOYZ6JR6AJXRKMHW","target":"record","payload":{"canonical_record":{"source":{"id":"2412.10496","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-13T19:00:00Z","cross_cats_sorted":["math-ph","math.MP","nucl-th"],"title_canon_sha256":"24bcd6845105513338f7ff07b432a6185b17edc10baaadb6709fd085b108bc7d","abstract_canon_sha256":"37695772d2b91a65cbdad0300edcdfc54b54b9a068cbc85ce9842ff9cfbb6fe9"},"schema_version":"1.0"},"canonical_sha256":"eb81a238cef35cec67c98f809bc54c3d8124f7890115ff68ad8f495907ffd885","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:49:16.773632Z","signature_b64":"LXGXtZk969qSzcerpHEpjcrR8r2ao6iLmRcI5jkryCIxwMJK4h0upB/a0Nghbwuy6nWEdNjiB4b5ro5fh508Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb81a238cef35cec67c98f809bc54c3d8124f7890115ff68ad8f495907ffd885","last_reissued_at":"2026-07-05T09:49:16.773231Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:49:16.773231Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.10496","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":"2026-07-05T09:49:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Scae2TzuslSxeHf4tRpdEmUI5u2JyAPDU7EAzL5BLU+47Z002jmgUFFd51l1P4tbFRCq+huS1klmJm9CW8aVBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T17:45:10.270814Z"},"content_sha256":"47b8dcd5a498523986a5d2b41e299f2801ddef971966a1f25d5052a7695fd1f1","schema_version":"1.0","event_id":"sha256:47b8dcd5a498523986a5d2b41e299f2801ddef971966a1f25d5052a7695fd1f1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:5OA2EOGO6NOOYZ6JR6AJXRKMHW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the negative coupling O(N) model in 2d at high temperature","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","nucl-th"],"primary_cat":"hep-th","authors_text":"Paul Romatschke","submitted_at":"2024-12-13T19:00:00Z","abstract_excerpt":"In this work, I consider N-component scalar quantum field theory in two dimensions interacting with an upside-down quartic potential. Working in the large N limit, the model can be solved non-perturbatively using the saddle-point method for sufficiently strong negative coupling. At high temperature, the O(N) model dimensionally reduces to ${\\cal PT}$-symmetric quantum mechanics, for which powerful non-perturbative solution methods exist. It is found that the solution from quantum mechanics can be matched by the saddle-point method in quantum field theory when allowing for saddles beyond the pr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.10496","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2412.10496/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":"2026-07-05T09:49:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9hPmMgZbsocfk8icqgR9AEIJ7xD8154lhwUHCgf40/RmSofQkGOCdXLEjPBLU+lCIlSNgxMZiDvfmPKuXUkfDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T17:45:10.271475Z"},"content_sha256":"e5b2a8449b79f712a05eddd823754abba460b592632863354b15ee42571d29cb","schema_version":"1.0","event_id":"sha256:e5b2a8449b79f712a05eddd823754abba460b592632863354b15ee42571d29cb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5OA2EOGO6NOOYZ6JR6AJXRKMHW/bundle.json","state_url":"https://pith.science/pith/5OA2EOGO6NOOYZ6JR6AJXRKMHW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5OA2EOGO6NOOYZ6JR6AJXRKMHW/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":"2026-08-09T17:45:10Z","links":{"resolver":"https://pith.science/pith/5OA2EOGO6NOOYZ6JR6AJXRKMHW","bundle":"https://pith.science/pith/5OA2EOGO6NOOYZ6JR6AJXRKMHW/bundle.json","state":"https://pith.science/pith/5OA2EOGO6NOOYZ6JR6AJXRKMHW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5OA2EOGO6NOOYZ6JR6AJXRKMHW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:5OA2EOGO6NOOYZ6JR6AJXRKMHW","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":"37695772d2b91a65cbdad0300edcdfc54b54b9a068cbc85ce9842ff9cfbb6fe9","cross_cats_sorted":["math-ph","math.MP","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-13T19:00:00Z","title_canon_sha256":"24bcd6845105513338f7ff07b432a6185b17edc10baaadb6709fd085b108bc7d"},"schema_version":"1.0","source":{"id":"2412.10496","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.10496","created_at":"2026-07-05T09:49:16Z"},{"alias_kind":"arxiv_version","alias_value":"2412.10496v1","created_at":"2026-07-05T09:49:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.10496","created_at":"2026-07-05T09:49:16Z"},{"alias_kind":"pith_short_12","alias_value":"5OA2EOGO6NOO","created_at":"2026-07-05T09:49:16Z"},{"alias_kind":"pith_short_16","alias_value":"5OA2EOGO6NOOYZ6J","created_at":"2026-07-05T09:49:16Z"},{"alias_kind":"pith_short_8","alias_value":"5OA2EOGO","created_at":"2026-07-05T09:49:16Z"}],"graph_snapshots":[{"event_id":"sha256:e5b2a8449b79f712a05eddd823754abba460b592632863354b15ee42571d29cb","target":"graph","created_at":"2026-07-05T09:49:16Z","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/2412.10496/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, I consider N-component scalar quantum field theory in two dimensions interacting with an upside-down quartic potential. Working in the large N limit, the model can be solved non-perturbatively using the saddle-point method for sufficiently strong negative coupling. At high temperature, the O(N) model dimensionally reduces to ${\\cal PT}$-symmetric quantum mechanics, for which powerful non-perturbative solution methods exist. It is found that the solution from quantum mechanics can be matched by the saddle-point method in quantum field theory when allowing for saddles beyond the pr","authors_text":"Paul Romatschke","cross_cats":["math-ph","math.MP","nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-13T19:00:00Z","title":"On the negative coupling O(N) model in 2d at high temperature"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.10496","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":"sha256:47b8dcd5a498523986a5d2b41e299f2801ddef971966a1f25d5052a7695fd1f1","target":"record","created_at":"2026-07-05T09:49:16Z","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":"37695772d2b91a65cbdad0300edcdfc54b54b9a068cbc85ce9842ff9cfbb6fe9","cross_cats_sorted":["math-ph","math.MP","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-13T19:00:00Z","title_canon_sha256":"24bcd6845105513338f7ff07b432a6185b17edc10baaadb6709fd085b108bc7d"},"schema_version":"1.0","source":{"id":"2412.10496","kind":"arxiv","version":1}},"canonical_sha256":"eb81a238cef35cec67c98f809bc54c3d8124f7890115ff68ad8f495907ffd885","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eb81a238cef35cec67c98f809bc54c3d8124f7890115ff68ad8f495907ffd885","first_computed_at":"2026-07-05T09:49:16.773231Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:49:16.773231Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LXGXtZk969qSzcerpHEpjcrR8r2ao6iLmRcI5jkryCIxwMJK4h0upB/a0Nghbwuy6nWEdNjiB4b5ro5fh508Aw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:49:16.773632Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.10496","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:47b8dcd5a498523986a5d2b41e299f2801ddef971966a1f25d5052a7695fd1f1","sha256:e5b2a8449b79f712a05eddd823754abba460b592632863354b15ee42571d29cb"],"state_sha256":"4a6c508a4e93b33359b00719f68649198260c08a312f2de286d53fad198d6dcc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AbXIE+ERBnoTdq0D1SgjQuQ6hoHXjpwRrRQMm7cwUs1n8DXUUEoVgcUwHwcEaGvWmOeA8ztIXbmIZ+ARSdXtDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T17:45:10.277447Z","bundle_sha256":"91923ccfdc932841a0bd449e87002160195a7c1a1a70f34b40acedf2fbdfc76e"}}