{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:LNP42R66BBEFQAZX4USGMFHB5C","short_pith_number":"pith:LNP42R66","canonical_record":{"source":{"id":"1208.6585","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-08-31T19:24:46Z","cross_cats_sorted":[],"title_canon_sha256":"00c2d9eb7a12e46aba57beab4cfa35cb95ac1438e406af59300135bb6807635f","abstract_canon_sha256":"4c7fc4e6f192665037a8f5e7ebe5059fba9d0bfa0a2fdc087e82a754b90d73b6"},"schema_version":"1.0"},"canonical_sha256":"5b5fcd47de0848580337e5246614e1e8bed54333866116d35fb02f39e54c6eda","source":{"kind":"arxiv","id":"1208.6585","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.6585","created_at":"2026-05-18T01:54:48Z"},{"alias_kind":"arxiv_version","alias_value":"1208.6585v2","created_at":"2026-05-18T01:54:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.6585","created_at":"2026-05-18T01:54:48Z"},{"alias_kind":"pith_short_12","alias_value":"LNP42R66BBEF","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LNP42R66BBEFQAZX","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LNP42R66","created_at":"2026-05-18T12:27:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:LNP42R66BBEFQAZX4USGMFHB5C","target":"record","payload":{"canonical_record":{"source":{"id":"1208.6585","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-08-31T19:24:46Z","cross_cats_sorted":[],"title_canon_sha256":"00c2d9eb7a12e46aba57beab4cfa35cb95ac1438e406af59300135bb6807635f","abstract_canon_sha256":"4c7fc4e6f192665037a8f5e7ebe5059fba9d0bfa0a2fdc087e82a754b90d73b6"},"schema_version":"1.0"},"canonical_sha256":"5b5fcd47de0848580337e5246614e1e8bed54333866116d35fb02f39e54c6eda","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:54:48.845232Z","signature_b64":"ln3XMkYbwJi1ZBxJTRz8S5kNgiTMFTUvYOpjFFDF1DZEWhG2WJyR5/MG0ngDA4Xs2zAY4n9DXD6rS+vG1Pn7Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5b5fcd47de0848580337e5246614e1e8bed54333866116d35fb02f39e54c6eda","last_reissued_at":"2026-05-18T01:54:48.844545Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:54:48.844545Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1208.6585","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:54:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XpKBHJ93mbR3FvVAKPCEeTG0rLMEZpExb44jB1uoMcl5srnk2PU+WwS1KbMfQuXuJ/jv2UslW3uLpLCwsdyyAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T00:30:59.304196Z"},"content_sha256":"0d5f89f46c6bd7063d0adf5e830516f94068df571a72bd82e3d5297fd3c89690","schema_version":"1.0","event_id":"sha256:0d5f89f46c6bd7063d0adf5e830516f94068df571a72bd82e3d5297fd3c89690"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:LNP42R66BBEFQAZX4USGMFHB5C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"High temperature limit in static backgrounds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"F. T. Brandt, J. B. Siqueira","submitted_at":"2012-08-31T19:24:46Z","abstract_excerpt":"We prove that the hard thermal loop contribution to static thermal amplitudes can be obtained by setting all the external four-momenta to zero before performing the Matsubara sums and loop integrals. At the one-loop order we do an iterative procedure for all the 1PI one-loop diagrams and at the two-loop order we consider the self-energy. Our approach is sufficiently general to the extent that it includes theories with any kind of interaction vertices, such as gravity in the weak field approximation, for $d$ space-time dimensions. This result is valid whenever the external fields are all bosoni"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.6585","kind":"arxiv","version":2},"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":"2026-05-18T01:54:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Oc8TD3rWS5EP8+7Ay9vx6q9KxM26IQj81lMF6tCjssmbFv+LevUdmVhd5/2RjF17gMQ3isaX/nH5qRMXc3jJAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T00:30:59.304813Z"},"content_sha256":"4dd24319879f78b092d3357d53557cf1fd0a0c125eb1827a76dd3e6d1341c753","schema_version":"1.0","event_id":"sha256:4dd24319879f78b092d3357d53557cf1fd0a0c125eb1827a76dd3e6d1341c753"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LNP42R66BBEFQAZX4USGMFHB5C/bundle.json","state_url":"https://pith.science/pith/LNP42R66BBEFQAZX4USGMFHB5C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LNP42R66BBEFQAZX4USGMFHB5C/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":"2026-06-05T00:30:59Z","links":{"resolver":"https://pith.science/pith/LNP42R66BBEFQAZX4USGMFHB5C","bundle":"https://pith.science/pith/LNP42R66BBEFQAZX4USGMFHB5C/bundle.json","state":"https://pith.science/pith/LNP42R66BBEFQAZX4USGMFHB5C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LNP42R66BBEFQAZX4USGMFHB5C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:LNP42R66BBEFQAZX4USGMFHB5C","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":"4c7fc4e6f192665037a8f5e7ebe5059fba9d0bfa0a2fdc087e82a754b90d73b6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-08-31T19:24:46Z","title_canon_sha256":"00c2d9eb7a12e46aba57beab4cfa35cb95ac1438e406af59300135bb6807635f"},"schema_version":"1.0","source":{"id":"1208.6585","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.6585","created_at":"2026-05-18T01:54:48Z"},{"alias_kind":"arxiv_version","alias_value":"1208.6585v2","created_at":"2026-05-18T01:54:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.6585","created_at":"2026-05-18T01:54:48Z"},{"alias_kind":"pith_short_12","alias_value":"LNP42R66BBEF","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LNP42R66BBEFQAZX","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LNP42R66","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:4dd24319879f78b092d3357d53557cf1fd0a0c125eb1827a76dd3e6d1341c753","target":"graph","created_at":"2026-05-18T01:54:48Z","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 prove that the hard thermal loop contribution to static thermal amplitudes can be obtained by setting all the external four-momenta to zero before performing the Matsubara sums and loop integrals. At the one-loop order we do an iterative procedure for all the 1PI one-loop diagrams and at the two-loop order we consider the self-energy. Our approach is sufficiently general to the extent that it includes theories with any kind of interaction vertices, such as gravity in the weak field approximation, for $d$ space-time dimensions. This result is valid whenever the external fields are all bosoni","authors_text":"F. T. Brandt, J. B. Siqueira","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-08-31T19:24:46Z","title":"High temperature limit in static backgrounds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.6585","kind":"arxiv","version":2},"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":"sha256:0d5f89f46c6bd7063d0adf5e830516f94068df571a72bd82e3d5297fd3c89690","target":"record","created_at":"2026-05-18T01:54:48Z","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":"4c7fc4e6f192665037a8f5e7ebe5059fba9d0bfa0a2fdc087e82a754b90d73b6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-08-31T19:24:46Z","title_canon_sha256":"00c2d9eb7a12e46aba57beab4cfa35cb95ac1438e406af59300135bb6807635f"},"schema_version":"1.0","source":{"id":"1208.6585","kind":"arxiv","version":2}},"canonical_sha256":"5b5fcd47de0848580337e5246614e1e8bed54333866116d35fb02f39e54c6eda","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b5fcd47de0848580337e5246614e1e8bed54333866116d35fb02f39e54c6eda","first_computed_at":"2026-05-18T01:54:48.844545Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:54:48.844545Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ln3XMkYbwJi1ZBxJTRz8S5kNgiTMFTUvYOpjFFDF1DZEWhG2WJyR5/MG0ngDA4Xs2zAY4n9DXD6rS+vG1Pn7Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:54:48.845232Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.6585","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0d5f89f46c6bd7063d0adf5e830516f94068df571a72bd82e3d5297fd3c89690","sha256:4dd24319879f78b092d3357d53557cf1fd0a0c125eb1827a76dd3e6d1341c753"],"state_sha256":"ad4b34fc3f99ce42ca8678889446cbdbb2f823059ff81c973b2f021ad78873cd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5MS1ifq+0l2dLu5F//dQaPEKCddR6OWXixeiaMBcpDmWWR/UYGMPl1MV1HD4bZNievAEmWbw3qh9zeDnXCVxDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T00:30:59.309054Z","bundle_sha256":"d2399858f76f940dfab72f43aadc2d8ea93fb1a94164d4217e918b0ec80794b5"}}