{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:2U2DJLAHBAETGQ6O4FUZGNGQFB","short_pith_number":"pith:2U2DJLAH","canonical_record":{"source":{"id":"1002.4037","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-02-22T02:03:34Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"5c5971d55a023202d4c8f88331d504187d2b093a67b0fac4971134dd17cebca9","abstract_canon_sha256":"292bd5099d84a6c90efc1fd38788ee37646f1a5332a40c3280275f3bbec9aa4d"},"schema_version":"1.0"},"canonical_sha256":"d53434ac0708093343cee1699334d0285af224383db437831054a4ff28bdf536","source":{"kind":"arxiv","id":"1002.4037","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.4037","created_at":"2026-05-18T04:05:46Z"},{"alias_kind":"arxiv_version","alias_value":"1002.4037v1","created_at":"2026-05-18T04:05:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.4037","created_at":"2026-05-18T04:05:46Z"},{"alias_kind":"pith_short_12","alias_value":"2U2DJLAHBAET","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"2U2DJLAHBAETGQ6O","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"2U2DJLAH","created_at":"2026-05-18T12:26:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:2U2DJLAHBAETGQ6O4FUZGNGQFB","target":"record","payload":{"canonical_record":{"source":{"id":"1002.4037","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-02-22T02:03:34Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"5c5971d55a023202d4c8f88331d504187d2b093a67b0fac4971134dd17cebca9","abstract_canon_sha256":"292bd5099d84a6c90efc1fd38788ee37646f1a5332a40c3280275f3bbec9aa4d"},"schema_version":"1.0"},"canonical_sha256":"d53434ac0708093343cee1699334d0285af224383db437831054a4ff28bdf536","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:05:46.080287Z","signature_b64":"wlVwMKb9iEREUNs1G1l3qxa1wTegj033y93/ql/FDXyd54uJ0hEmp7F976V2bc3GzU2GMRMdnzbHbT50QVjXCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d53434ac0708093343cee1699334d0285af224383db437831054a4ff28bdf536","last_reissued_at":"2026-05-18T04:05:46.079818Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:05:46.079818Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1002.4037","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":"2026-05-18T04:05:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"feA2ZuI7DGnYzqn6bddr/+564uQEFpMDEIIQ6HjXFW47ySCZFJSmnL2NFMr2cIWo2+SXTqmz7qP0C4/Dj4ckAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:45:01.447071Z"},"content_sha256":"336c1010ae3e22e529dd45d34f120060e36f5c95219caa00fc94769372cf89eb","schema_version":"1.0","event_id":"sha256:336c1010ae3e22e529dd45d34f120060e36f5c95219caa00fc94769372cf89eb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:2U2DJLAHBAETGQ6O4FUZGNGQFB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"De Sitter Breaking through Infrared Divergences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"N. C. Tsamis (U. of Crete), R. P. Woodard (U. of Florida), S. P. Miao (CECS)","submitted_at":"2010-02-22T02:03:34Z","abstract_excerpt":"Just because the propagator of some field obeys a de Sitter invariant equation does not mean it possesses a de Sitter invariant solution. The classic example is the propagator of a massless, minimally coupled scalar. We show that the same thing happens for massive scalars with $M_S^2 < 0$, and for massive transverse vectors with $M_V^2 \\leq -2 (D-1) H^2$, where $D$ is the dimension of spacetime and $H$ is the Hubble parameter. Although all masses in these ranges give infrared divergent mode sums, using dimensional regularization (or any other analytic continuation technique) to define the mode"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.4037","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":"2026-05-18T04:05:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4O/XRDbPNNFDUT6SyL6QEen5MpOm0W3n4BqWMGTKk04mU6jQmaAiqIBXKRU5FXjp1rjUhdmeDx+y8B2uVbioBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:45:01.447765Z"},"content_sha256":"9387d80879d4eed08c73838aad3f2103ad826260b37182e2802d1d4f05edfa21","schema_version":"1.0","event_id":"sha256:9387d80879d4eed08c73838aad3f2103ad826260b37182e2802d1d4f05edfa21"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2U2DJLAHBAETGQ6O4FUZGNGQFB/bundle.json","state_url":"https://pith.science/pith/2U2DJLAHBAETGQ6O4FUZGNGQFB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2U2DJLAHBAETGQ6O4FUZGNGQFB/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":"2026-05-30T08:45:01Z","links":{"resolver":"https://pith.science/pith/2U2DJLAHBAETGQ6O4FUZGNGQFB","bundle":"https://pith.science/pith/2U2DJLAHBAETGQ6O4FUZGNGQFB/bundle.json","state":"https://pith.science/pith/2U2DJLAHBAETGQ6O4FUZGNGQFB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2U2DJLAHBAETGQ6O4FUZGNGQFB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:2U2DJLAHBAETGQ6O4FUZGNGQFB","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":"292bd5099d84a6c90efc1fd38788ee37646f1a5332a40c3280275f3bbec9aa4d","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-02-22T02:03:34Z","title_canon_sha256":"5c5971d55a023202d4c8f88331d504187d2b093a67b0fac4971134dd17cebca9"},"schema_version":"1.0","source":{"id":"1002.4037","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.4037","created_at":"2026-05-18T04:05:46Z"},{"alias_kind":"arxiv_version","alias_value":"1002.4037v1","created_at":"2026-05-18T04:05:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.4037","created_at":"2026-05-18T04:05:46Z"},{"alias_kind":"pith_short_12","alias_value":"2U2DJLAHBAET","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"2U2DJLAHBAETGQ6O","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"2U2DJLAH","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:9387d80879d4eed08c73838aad3f2103ad826260b37182e2802d1d4f05edfa21","target":"graph","created_at":"2026-05-18T04:05:46Z","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":"Just because the propagator of some field obeys a de Sitter invariant equation does not mean it possesses a de Sitter invariant solution. The classic example is the propagator of a massless, minimally coupled scalar. We show that the same thing happens for massive scalars with $M_S^2 < 0$, and for massive transverse vectors with $M_V^2 \\leq -2 (D-1) H^2$, where $D$ is the dimension of spacetime and $H$ is the Hubble parameter. Although all masses in these ranges give infrared divergent mode sums, using dimensional regularization (or any other analytic continuation technique) to define the mode","authors_text":"N. C. Tsamis (U. of Crete), R. P. Woodard (U. of Florida), S. P. Miao (CECS)","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-02-22T02:03:34Z","title":"De Sitter Breaking through Infrared Divergences"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.4037","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":"sha256:336c1010ae3e22e529dd45d34f120060e36f5c95219caa00fc94769372cf89eb","target":"record","created_at":"2026-05-18T04:05:46Z","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":"292bd5099d84a6c90efc1fd38788ee37646f1a5332a40c3280275f3bbec9aa4d","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-02-22T02:03:34Z","title_canon_sha256":"5c5971d55a023202d4c8f88331d504187d2b093a67b0fac4971134dd17cebca9"},"schema_version":"1.0","source":{"id":"1002.4037","kind":"arxiv","version":1}},"canonical_sha256":"d53434ac0708093343cee1699334d0285af224383db437831054a4ff28bdf536","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d53434ac0708093343cee1699334d0285af224383db437831054a4ff28bdf536","first_computed_at":"2026-05-18T04:05:46.079818Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:46.079818Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wlVwMKb9iEREUNs1G1l3qxa1wTegj033y93/ql/FDXyd54uJ0hEmp7F976V2bc3GzU2GMRMdnzbHbT50QVjXCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:46.080287Z","signed_message":"canonical_sha256_bytes"},"source_id":"1002.4037","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:336c1010ae3e22e529dd45d34f120060e36f5c95219caa00fc94769372cf89eb","sha256:9387d80879d4eed08c73838aad3f2103ad826260b37182e2802d1d4f05edfa21"],"state_sha256":"8aae1cc6774881acbc5bc9d12371b3e16db8d3a201cf22825e469ba27f5c1e0a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cbhRANB87sOM1IKFJfikLuTtxlsUGMB3BFe9ArlQ3pimSQFyaxElhDSP2/RnmAyftVyPspFWQu7EQMDu51SXDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T08:45:01.451838Z","bundle_sha256":"b3c82d8ca56c6e1f1276de86d7d5318a86876220b43caebf9e79f4f9c4cd2d30"}}