{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:MXA3NG3JIGQM6732IISOCB5WSS","short_pith_number":"pith:MXA3NG3J","canonical_record":{"source":{"id":"0904.4715","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-04-29T22:20:52Z","cross_cats_sorted":[],"title_canon_sha256":"17bbf4094c0a2440561c333b12e23b43b650ee9c6b15a5e6fc78919669024c2a","abstract_canon_sha256":"5547d55f93ca1ba6550b28d354f927a51b612abb049103927dffe869f8ac7d06"},"schema_version":"1.0"},"canonical_sha256":"65c1b69b6941a0cf7f7a4224e107b6948215cb19e458b3aa69106560854d583b","source":{"kind":"arxiv","id":"0904.4715","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0904.4715","created_at":"2026-05-18T02:34:59Z"},{"alias_kind":"arxiv_version","alias_value":"0904.4715v1","created_at":"2026-05-18T02:34:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.4715","created_at":"2026-05-18T02:34:59Z"},{"alias_kind":"pith_short_12","alias_value":"MXA3NG3JIGQM","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"MXA3NG3JIGQM6732","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"MXA3NG3J","created_at":"2026-05-18T12:26:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:MXA3NG3JIGQM6732IISOCB5WSS","target":"record","payload":{"canonical_record":{"source":{"id":"0904.4715","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-04-29T22:20:52Z","cross_cats_sorted":[],"title_canon_sha256":"17bbf4094c0a2440561c333b12e23b43b650ee9c6b15a5e6fc78919669024c2a","abstract_canon_sha256":"5547d55f93ca1ba6550b28d354f927a51b612abb049103927dffe869f8ac7d06"},"schema_version":"1.0"},"canonical_sha256":"65c1b69b6941a0cf7f7a4224e107b6948215cb19e458b3aa69106560854d583b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:34:59.452624Z","signature_b64":"p4kpu+ZVgi/5r7MXizrgZ9kMWtuQuUuUARFtAp/VNhBISNP+0Jb0bU3cttdxSXSouezjqxhpjced0RwXpIkADg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"65c1b69b6941a0cf7f7a4224e107b6948215cb19e458b3aa69106560854d583b","last_reissued_at":"2026-05-18T02:34:59.452170Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:34:59.452170Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0904.4715","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":"2026-05-18T02:34:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xCJPWmupFm4lo1hPSicrGpGLV0lQBHg5wNcalIdEnE+CRXBwptNjWqpkXjjWFXefSRLzNMT2BKF+wSY5HfXwAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T03:47:50.620937Z"},"content_sha256":"e8d2ec458731006288aebc600c42a88e8283b96523a1a0f9277ddbd24904c076","schema_version":"1.0","event_id":"sha256:e8d2ec458731006288aebc600c42a88e8283b96523a1a0f9277ddbd24904c076"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:MXA3NG3JIGQM6732IISOCB5WSS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Resummation of infrared divergences in the free-energy of spin-two fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"D. G. C. McKeon, F. T. Brandt, J. B. Siqueira, J. Frenkel","submitted_at":"2009-04-29T22:20:52Z","abstract_excerpt":"We derive a closed form expression for the sum of all the infrared divergent contributions to the free-energy of a gas of gravitons. An important ingredient of our calculation is the use of a gauge fixing procedure such that the graviton propagator becomes both traceless and transverse. This has been shown to be possible, in a previous work, using a general gauge fixing procedure, in the context of the lowest order expansion of the Einstein-Hilbert action, describing non-interacting spin two fields. In order to encompass the problems involving thermal loops, such as the resummation of the free"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.4715","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":"2026-05-18T02:34:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rbIQU4bHBOp2L7OsRTzwFeKuL2UQonb1UGh/jwbdua/IqiqzngF/JLph8AfnNVJPOvGqGgU7mIX4sXlI2zH/BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T03:47:50.621339Z"},"content_sha256":"ceeb9c8a2b5c29043123e6edf02b3f0b4a55f80e8c9a76bc981392280663f780","schema_version":"1.0","event_id":"sha256:ceeb9c8a2b5c29043123e6edf02b3f0b4a55f80e8c9a76bc981392280663f780"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MXA3NG3JIGQM6732IISOCB5WSS/bundle.json","state_url":"https://pith.science/pith/MXA3NG3JIGQM6732IISOCB5WSS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MXA3NG3JIGQM6732IISOCB5WSS/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":"2026-05-20T03:47:50Z","links":{"resolver":"https://pith.science/pith/MXA3NG3JIGQM6732IISOCB5WSS","bundle":"https://pith.science/pith/MXA3NG3JIGQM6732IISOCB5WSS/bundle.json","state":"https://pith.science/pith/MXA3NG3JIGQM6732IISOCB5WSS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MXA3NG3JIGQM6732IISOCB5WSS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:MXA3NG3JIGQM6732IISOCB5WSS","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":"5547d55f93ca1ba6550b28d354f927a51b612abb049103927dffe869f8ac7d06","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-04-29T22:20:52Z","title_canon_sha256":"17bbf4094c0a2440561c333b12e23b43b650ee9c6b15a5e6fc78919669024c2a"},"schema_version":"1.0","source":{"id":"0904.4715","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0904.4715","created_at":"2026-05-18T02:34:59Z"},{"alias_kind":"arxiv_version","alias_value":"0904.4715v1","created_at":"2026-05-18T02:34:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.4715","created_at":"2026-05-18T02:34:59Z"},{"alias_kind":"pith_short_12","alias_value":"MXA3NG3JIGQM","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"MXA3NG3JIGQM6732","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"MXA3NG3J","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:ceeb9c8a2b5c29043123e6edf02b3f0b4a55f80e8c9a76bc981392280663f780","target":"graph","created_at":"2026-05-18T02:34:59Z","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 derive a closed form expression for the sum of all the infrared divergent contributions to the free-energy of a gas of gravitons. An important ingredient of our calculation is the use of a gauge fixing procedure such that the graviton propagator becomes both traceless and transverse. This has been shown to be possible, in a previous work, using a general gauge fixing procedure, in the context of the lowest order expansion of the Einstein-Hilbert action, describing non-interacting spin two fields. In order to encompass the problems involving thermal loops, such as the resummation of the free","authors_text":"D. G. C. McKeon, F. T. Brandt, J. B. Siqueira, J. Frenkel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-04-29T22:20:52Z","title":"Resummation of infrared divergences in the free-energy of spin-two fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.4715","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:e8d2ec458731006288aebc600c42a88e8283b96523a1a0f9277ddbd24904c076","target":"record","created_at":"2026-05-18T02:34:59Z","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":"5547d55f93ca1ba6550b28d354f927a51b612abb049103927dffe869f8ac7d06","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-04-29T22:20:52Z","title_canon_sha256":"17bbf4094c0a2440561c333b12e23b43b650ee9c6b15a5e6fc78919669024c2a"},"schema_version":"1.0","source":{"id":"0904.4715","kind":"arxiv","version":1}},"canonical_sha256":"65c1b69b6941a0cf7f7a4224e107b6948215cb19e458b3aa69106560854d583b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"65c1b69b6941a0cf7f7a4224e107b6948215cb19e458b3aa69106560854d583b","first_computed_at":"2026-05-18T02:34:59.452170Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:34:59.452170Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p4kpu+ZVgi/5r7MXizrgZ9kMWtuQuUuUARFtAp/VNhBISNP+0Jb0bU3cttdxSXSouezjqxhpjced0RwXpIkADg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:34:59.452624Z","signed_message":"canonical_sha256_bytes"},"source_id":"0904.4715","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e8d2ec458731006288aebc600c42a88e8283b96523a1a0f9277ddbd24904c076","sha256:ceeb9c8a2b5c29043123e6edf02b3f0b4a55f80e8c9a76bc981392280663f780"],"state_sha256":"3c94ac6ac01a5631d15f512b609abc1b653739a494fd3a3b48d521addb65417c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+FwOETByqMb95kRTcsm6K2BaGc4hYtqSsn0zrUYfzyZ/hKTk1qHq+ns1kTHbJ3mEOTJyaXZBf6P7UfTyxwPIBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T03:47:50.625381Z","bundle_sha256":"e84db7160ae734a9112458b22ac9362a3535adf0992a8e37d2b13a764474f740"}}