{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:TUIUJQZ2SJWSIXEG4RJXV7PHBO","short_pith_number":"pith:TUIUJQZ2","canonical_record":{"source":{"id":"1704.04801","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-04-16T18:03:01Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"7d2195502fd72f105d16e17f4c93192e2fc35e403f454343d02f49403e59e165","abstract_canon_sha256":"4e559f2f27daf0838cb5cd4cdc6ec03832effa0c521cbf0d34e5d5646f9dd550"},"schema_version":"1.0"},"canonical_sha256":"9d1144c33a926d245c86e4537afde70ba84ee932500363f1d0303e6b9689243a","source":{"kind":"arxiv","id":"1704.04801","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.04801","created_at":"2026-05-18T00:33:10Z"},{"alias_kind":"arxiv_version","alias_value":"1704.04801v3","created_at":"2026-05-18T00:33:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.04801","created_at":"2026-05-18T00:33:10Z"},{"alias_kind":"pith_short_12","alias_value":"TUIUJQZ2SJWS","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"TUIUJQZ2SJWSIXEG","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"TUIUJQZ2","created_at":"2026-05-18T12:31:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:TUIUJQZ2SJWSIXEG4RJXV7PHBO","target":"record","payload":{"canonical_record":{"source":{"id":"1704.04801","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-04-16T18:03:01Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"7d2195502fd72f105d16e17f4c93192e2fc35e403f454343d02f49403e59e165","abstract_canon_sha256":"4e559f2f27daf0838cb5cd4cdc6ec03832effa0c521cbf0d34e5d5646f9dd550"},"schema_version":"1.0"},"canonical_sha256":"9d1144c33a926d245c86e4537afde70ba84ee932500363f1d0303e6b9689243a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:10.437073Z","signature_b64":"D6tfgyBRCAPAei7vBN/upVuwi+Ufgta4YfOhnQIkit1VejVeHZT16PVpvGbmGoaaFfOxhyfg35WzXULbM9eHDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9d1144c33a926d245c86e4537afde70ba84ee932500363f1d0303e6b9689243a","last_reissued_at":"2026-05-18T00:33:10.436363Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:10.436363Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1704.04801","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:33:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YVyphK6DtJCTLv4cvGar/+d3+nCOHEQOp3kmQH8jDBaqJ6eZiPIUPwFOStFp5lsbJsL3Hw1w3saISyXc7R6jBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T03:22:33.628728Z"},"content_sha256":"db90d1345a7edd22040210c7185ddf63d7316beaa4a7d15244d354ce7b068294","schema_version":"1.0","event_id":"sha256:db90d1345a7edd22040210c7185ddf63d7316beaa4a7d15244d354ce7b068294"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:TUIUJQZ2SJWSIXEG4RJXV7PHBO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Thermal Schwinger pair production at arbitrary coupling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Arttu Rajantie, Oliver Gould","submitted_at":"2017-04-16T18:03:01Z","abstract_excerpt":"We calculate the rate of thermal Schwinger pair production at arbitrary coupling in weak external fields. Our calculations are valid independently of many properties of the charged particles produced, in particular their spin and whether they are electric or magnetic. Using the worldline formalism, we calculate the logarithm of the rate to leading order in the weak external field and to all orders in virtual photon exchange, taking us beyond the perturbative expansion about the leading order, weak coupling result."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.04801","kind":"arxiv","version":3},"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":"2026-05-18T00:33:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AfvPFl4nEOqN2XVg8UgYspQfWv6qKBgXvxiB018HnhvluHhKbES0jCUbdwjwkt6FMwoYwAJRPMHasCveCWAGAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T03:22:33.629068Z"},"content_sha256":"5c075cda98a9b6eb3a29e1bd86fc1bc47443837884209c6075169175e75df774","schema_version":"1.0","event_id":"sha256:5c075cda98a9b6eb3a29e1bd86fc1bc47443837884209c6075169175e75df774"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TUIUJQZ2SJWSIXEG4RJXV7PHBO/bundle.json","state_url":"https://pith.science/pith/TUIUJQZ2SJWSIXEG4RJXV7PHBO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TUIUJQZ2SJWSIXEG4RJXV7PHBO/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":"2026-05-28T03:22:33Z","links":{"resolver":"https://pith.science/pith/TUIUJQZ2SJWSIXEG4RJXV7PHBO","bundle":"https://pith.science/pith/TUIUJQZ2SJWSIXEG4RJXV7PHBO/bundle.json","state":"https://pith.science/pith/TUIUJQZ2SJWSIXEG4RJXV7PHBO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TUIUJQZ2SJWSIXEG4RJXV7PHBO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:TUIUJQZ2SJWSIXEG4RJXV7PHBO","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":"4e559f2f27daf0838cb5cd4cdc6ec03832effa0c521cbf0d34e5d5646f9dd550","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-04-16T18:03:01Z","title_canon_sha256":"7d2195502fd72f105d16e17f4c93192e2fc35e403f454343d02f49403e59e165"},"schema_version":"1.0","source":{"id":"1704.04801","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.04801","created_at":"2026-05-18T00:33:10Z"},{"alias_kind":"arxiv_version","alias_value":"1704.04801v3","created_at":"2026-05-18T00:33:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.04801","created_at":"2026-05-18T00:33:10Z"},{"alias_kind":"pith_short_12","alias_value":"TUIUJQZ2SJWS","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"TUIUJQZ2SJWSIXEG","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"TUIUJQZ2","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:5c075cda98a9b6eb3a29e1bd86fc1bc47443837884209c6075169175e75df774","target":"graph","created_at":"2026-05-18T00:33:10Z","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 calculate the rate of thermal Schwinger pair production at arbitrary coupling in weak external fields. Our calculations are valid independently of many properties of the charged particles produced, in particular their spin and whether they are electric or magnetic. Using the worldline formalism, we calculate the logarithm of the rate to leading order in the weak external field and to all orders in virtual photon exchange, taking us beyond the perturbative expansion about the leading order, weak coupling result.","authors_text":"Arttu Rajantie, Oliver Gould","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-04-16T18:03:01Z","title":"Thermal Schwinger pair production at arbitrary coupling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.04801","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:db90d1345a7edd22040210c7185ddf63d7316beaa4a7d15244d354ce7b068294","target":"record","created_at":"2026-05-18T00:33:10Z","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":"4e559f2f27daf0838cb5cd4cdc6ec03832effa0c521cbf0d34e5d5646f9dd550","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-04-16T18:03:01Z","title_canon_sha256":"7d2195502fd72f105d16e17f4c93192e2fc35e403f454343d02f49403e59e165"},"schema_version":"1.0","source":{"id":"1704.04801","kind":"arxiv","version":3}},"canonical_sha256":"9d1144c33a926d245c86e4537afde70ba84ee932500363f1d0303e6b9689243a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9d1144c33a926d245c86e4537afde70ba84ee932500363f1d0303e6b9689243a","first_computed_at":"2026-05-18T00:33:10.436363Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:10.436363Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"D6tfgyBRCAPAei7vBN/upVuwi+Ufgta4YfOhnQIkit1VejVeHZT16PVpvGbmGoaaFfOxhyfg35WzXULbM9eHDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:10.437073Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.04801","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:db90d1345a7edd22040210c7185ddf63d7316beaa4a7d15244d354ce7b068294","sha256:5c075cda98a9b6eb3a29e1bd86fc1bc47443837884209c6075169175e75df774"],"state_sha256":"a5ffe3d4a90f88238636fb22cfd82f171d070b971981fee7aa961ce61dcf7636"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mE/YYO4YThDtK64w/dKnOkqsPOol5V+mFYWn8iP5jhvn7ImLhHKnlOVyBrR6oQq3BI1ZhUOcuSv/TYbl58LVBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T03:22:33.631019Z","bundle_sha256":"29578bff6c970a21a172e2dd6ed7d7a56826640b9849539276ed1ba992167b42"}}