{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1994:TZPLOREJKNPJKDQXU5QNLEZIPN","short_pith_number":"pith:TZPLOREJ","canonical_record":{"source":{"id":"hep-th/9407036","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1994-07-06T12:20:27Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"84a46bc6bc4073b51ac3434c4825c3ac0e38664d3ac31d3321860810d11b4137","abstract_canon_sha256":"28a209b5cfbe91eb475b391b699b066faf0f17a42fd6829e8bbd2cec4d3d91bc"},"schema_version":"1.0"},"canonical_sha256":"9e5eb74489535e950e17a760d593287b6d69039213d9ebb32c02dc7583927cc1","source":{"kind":"arxiv","id":"hep-th/9407036","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9407036","created_at":"2026-05-18T04:37:35Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9407036v1","created_at":"2026-05-18T04:37:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9407036","created_at":"2026-05-18T04:37:35Z"},{"alias_kind":"pith_short_12","alias_value":"TZPLOREJKNPJ","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"TZPLOREJKNPJKDQX","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"TZPLOREJ","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1994:TZPLOREJKNPJKDQXU5QNLEZIPN","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9407036","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1994-07-06T12:20:27Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"84a46bc6bc4073b51ac3434c4825c3ac0e38664d3ac31d3321860810d11b4137","abstract_canon_sha256":"28a209b5cfbe91eb475b391b699b066faf0f17a42fd6829e8bbd2cec4d3d91bc"},"schema_version":"1.0"},"canonical_sha256":"9e5eb74489535e950e17a760d593287b6d69039213d9ebb32c02dc7583927cc1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:37:35.053772Z","signature_b64":"d7uDneqGgOqd7F8l9aqGazjDGfceJlPUjpUzyGxaXoZ9VR3Oj6hcv9+/r8x8XvNRv+Oa9iQrIdP0+hONeKgHCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9e5eb74489535e950e17a760d593287b6d69039213d9ebb32c02dc7583927cc1","last_reissued_at":"2026-05-18T04:37:35.053027Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:37:35.053027Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9407036","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":"2026-05-18T04:37:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QfSVWNvIx054XC4xb69ODFj0wRpSbOQNr3groQAQT/huDLendBcSK/9zkReO5yIifweIcML7BAasphaalybmCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T19:29:04.140197Z"},"content_sha256":"18f6f3a9a02768b57f66eab8b53abe40a6bb188fe2a956ee370f690e00510861","schema_version":"1.0","event_id":"sha256:18f6f3a9a02768b57f66eab8b53abe40a6bb188fe2a956ee370f690e00510861"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1994:TZPLOREJKNPJKDQXU5QNLEZIPN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonlinear interaction between electromagnetic fields at high temperature","license":"","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Fernando T. Brandt, John C. Taylor, Josif Frenkel","submitted_at":"1994-07-06T12:20:27Z","abstract_excerpt":"The electron-positron `box' diagram produces an effective action which is fourth order in the electromagnetic field. We examine the behaviour of this effective action at high-temperature (in analytically continued imaginary-time thermal perturbation theory). We argue that there is a finite, nonzero limit as $T\\rightarrow \\infty$ (where $T$ is the temperature). We calculate this limit in the nonrelativistic static case, and in the long-wavelength limit. We also briefly discuss the self-energy in 2-dimensional QED, which is similar in some respects."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9407036","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":"2026-05-18T04:37:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N59BGjQXZIslSHWWUgUg2pYFXiMv3rz01h2BzMjc9zGEBHKCV5ZlIg8nAQNYgHgVLaG+0dBnHro8kdusfTSoCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T19:29:04.140568Z"},"content_sha256":"9d86e75c4bc4c675dc25147d6d1af462c8a3853a0cd89b310d19e29c381b0c0a","schema_version":"1.0","event_id":"sha256:9d86e75c4bc4c675dc25147d6d1af462c8a3853a0cd89b310d19e29c381b0c0a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TZPLOREJKNPJKDQXU5QNLEZIPN/bundle.json","state_url":"https://pith.science/pith/TZPLOREJKNPJKDQXU5QNLEZIPN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TZPLOREJKNPJKDQXU5QNLEZIPN/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":"2026-06-04T19:29:04Z","links":{"resolver":"https://pith.science/pith/TZPLOREJKNPJKDQXU5QNLEZIPN","bundle":"https://pith.science/pith/TZPLOREJKNPJKDQXU5QNLEZIPN/bundle.json","state":"https://pith.science/pith/TZPLOREJKNPJKDQXU5QNLEZIPN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TZPLOREJKNPJKDQXU5QNLEZIPN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1994:TZPLOREJKNPJKDQXU5QNLEZIPN","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":"28a209b5cfbe91eb475b391b699b066faf0f17a42fd6829e8bbd2cec4d3d91bc","cross_cats_sorted":["hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"1994-07-06T12:20:27Z","title_canon_sha256":"84a46bc6bc4073b51ac3434c4825c3ac0e38664d3ac31d3321860810d11b4137"},"schema_version":"1.0","source":{"id":"hep-th/9407036","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9407036","created_at":"2026-05-18T04:37:35Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9407036v1","created_at":"2026-05-18T04:37:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9407036","created_at":"2026-05-18T04:37:35Z"},{"alias_kind":"pith_short_12","alias_value":"TZPLOREJKNPJ","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"TZPLOREJKNPJKDQX","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"TZPLOREJ","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:9d86e75c4bc4c675dc25147d6d1af462c8a3853a0cd89b310d19e29c381b0c0a","target":"graph","created_at":"2026-05-18T04:37:35Z","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":"The electron-positron `box' diagram produces an effective action which is fourth order in the electromagnetic field. We examine the behaviour of this effective action at high-temperature (in analytically continued imaginary-time thermal perturbation theory). We argue that there is a finite, nonzero limit as $T\\rightarrow \\infty$ (where $T$ is the temperature). We calculate this limit in the nonrelativistic static case, and in the long-wavelength limit. We also briefly discuss the self-energy in 2-dimensional QED, which is similar in some respects.","authors_text":"Fernando T. Brandt, John C. Taylor, Josif Frenkel","cross_cats":["hep-ph"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1994-07-06T12:20:27Z","title":"Nonlinear interaction between electromagnetic fields at high temperature"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9407036","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":"sha256:18f6f3a9a02768b57f66eab8b53abe40a6bb188fe2a956ee370f690e00510861","target":"record","created_at":"2026-05-18T04:37:35Z","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":"28a209b5cfbe91eb475b391b699b066faf0f17a42fd6829e8bbd2cec4d3d91bc","cross_cats_sorted":["hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"1994-07-06T12:20:27Z","title_canon_sha256":"84a46bc6bc4073b51ac3434c4825c3ac0e38664d3ac31d3321860810d11b4137"},"schema_version":"1.0","source":{"id":"hep-th/9407036","kind":"arxiv","version":1}},"canonical_sha256":"9e5eb74489535e950e17a760d593287b6d69039213d9ebb32c02dc7583927cc1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9e5eb74489535e950e17a760d593287b6d69039213d9ebb32c02dc7583927cc1","first_computed_at":"2026-05-18T04:37:35.053027Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:37:35.053027Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d7uDneqGgOqd7F8l9aqGazjDGfceJlPUjpUzyGxaXoZ9VR3Oj6hcv9+/r8x8XvNRv+Oa9iQrIdP0+hONeKgHCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:37:35.053772Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9407036","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:18f6f3a9a02768b57f66eab8b53abe40a6bb188fe2a956ee370f690e00510861","sha256:9d86e75c4bc4c675dc25147d6d1af462c8a3853a0cd89b310d19e29c381b0c0a"],"state_sha256":"e3722898ef13fcfa7d7a2d5f471b2464db5eb76790c1a2a65c0c5e202a136ad3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bjQwe6PMuB1YwgN/gU23HcNLrV0cIUtOg3/Yo+KuHFx6+LmI1vI+vpN8XqzydeRFOWH/XbDf7/OXMTxeqYSACA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T19:29:04.142846Z","bundle_sha256":"7b6d7c4d7e79a4d5e14964953d3d1815a12644d6648822126d16c85958980c4c"}}