{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:UQIDTWPG4UHHBWJU6SSCHGUTRX","short_pith_number":"pith:UQIDTWPG","canonical_record":{"source":{"id":"2403.13915","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-03-20T18:33:37Z","cross_cats_sorted":["gr-qc","quant-ph"],"title_canon_sha256":"ea009ed73e2fa44b06158f8a2c19e24b79ce0dcc3e62c54e1a0966fb74fb0bbe","abstract_canon_sha256":"583e40f8153e04453d02589f98b8f72c7b2600ff16fa329a77f7b27adaa5de9a"},"schema_version":"1.0"},"canonical_sha256":"a41039d9e6e50e70d934f4a4239a938dcd64d978defc90b06ebdb4cd91f8b4db","source":{"kind":"arxiv","id":"2403.13915","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.13915","created_at":"2026-07-05T07:58:51Z"},{"alias_kind":"arxiv_version","alias_value":"2403.13915v1","created_at":"2026-07-05T07:58:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.13915","created_at":"2026-07-05T07:58:51Z"},{"alias_kind":"pith_short_12","alias_value":"UQIDTWPG4UHH","created_at":"2026-07-05T07:58:51Z"},{"alias_kind":"pith_short_16","alias_value":"UQIDTWPG4UHHBWJU","created_at":"2026-07-05T07:58:51Z"},{"alias_kind":"pith_short_8","alias_value":"UQIDTWPG","created_at":"2026-07-05T07:58:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:UQIDTWPG4UHHBWJU6SSCHGUTRX","target":"record","payload":{"canonical_record":{"source":{"id":"2403.13915","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-03-20T18:33:37Z","cross_cats_sorted":["gr-qc","quant-ph"],"title_canon_sha256":"ea009ed73e2fa44b06158f8a2c19e24b79ce0dcc3e62c54e1a0966fb74fb0bbe","abstract_canon_sha256":"583e40f8153e04453d02589f98b8f72c7b2600ff16fa329a77f7b27adaa5de9a"},"schema_version":"1.0"},"canonical_sha256":"a41039d9e6e50e70d934f4a4239a938dcd64d978defc90b06ebdb4cd91f8b4db","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:58:51.955720Z","signature_b64":"9so1yo6ULbymfnMAjpNAXoyNUs9n8Pz9rrSxohtwXFHcmtYgzO581bT9Cm+14LQZ/AHJ7L94V9FAOZWBwFpvAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a41039d9e6e50e70d934f4a4239a938dcd64d978defc90b06ebdb4cd91f8b4db","last_reissued_at":"2026-07-05T07:58:51.955192Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:58:51.955192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2403.13915","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":"2026-07-05T07:58:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NLMBx7+0XCG9MS40KVvVw2CNM6sHB49RhNPfZy60zxjzgNbJBT+zJc8RBRTXNLeZzTojKHt99dJbPN9TxoSmAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T11:51:20.196137Z"},"content_sha256":"f30bb4e520a87295279daa101684c271ddb29c664b18752bd505becb731d6c2f","schema_version":"1.0","event_id":"sha256:f30bb4e520a87295279daa101684c271ddb29c664b18752bd505becb731d6c2f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:UQIDTWPG4UHHBWJU6SSCHGUTRX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On scrambling, tomperature and superdiffusion in de Sitter space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","quant-ph"],"primary_cat":"hep-th","authors_text":"Alexey Milekhin, Jiuci Xu","submitted_at":"2024-03-20T18:33:37Z","abstract_excerpt":"This paper investigates basic properties of the de Sitter static patch using simple two-point functions in the probe approximation. We find that de Sitter equilibrates in a superdiffusive manner, unlike most physical systems which equilibrate diffusively. We also examine the scrambling time. In de Sitter, the two-point functions of free fields do not decay for sometime because quanta can reflect off the pole of the static patch. This suggests a minimum scrambling time of the order $\\log(1/G_N)$, even for perturbations introduced on the stretched horizon, indicating fast scrambling inside de Si"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.13915","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2403.13915/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T07:58:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dXHzlkmkPwoBKS3c54UcidZ9hxreF+Cx68O72ubmxrFLE7gY164jVbr9MwLECEIciKKoIIYDoGTWIXKtzAqkDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T11:51:20.196675Z"},"content_sha256":"793a395d957bbbf1257573d94f69c85200ba0591d851f37a4135719a40a4cfac","schema_version":"1.0","event_id":"sha256:793a395d957bbbf1257573d94f69c85200ba0591d851f37a4135719a40a4cfac"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UQIDTWPG4UHHBWJU6SSCHGUTRX/bundle.json","state_url":"https://pith.science/pith/UQIDTWPG4UHHBWJU6SSCHGUTRX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UQIDTWPG4UHHBWJU6SSCHGUTRX/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":"2026-08-10T11:51:20Z","links":{"resolver":"https://pith.science/pith/UQIDTWPG4UHHBWJU6SSCHGUTRX","bundle":"https://pith.science/pith/UQIDTWPG4UHHBWJU6SSCHGUTRX/bundle.json","state":"https://pith.science/pith/UQIDTWPG4UHHBWJU6SSCHGUTRX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UQIDTWPG4UHHBWJU6SSCHGUTRX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:UQIDTWPG4UHHBWJU6SSCHGUTRX","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":"583e40f8153e04453d02589f98b8f72c7b2600ff16fa329a77f7b27adaa5de9a","cross_cats_sorted":["gr-qc","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-03-20T18:33:37Z","title_canon_sha256":"ea009ed73e2fa44b06158f8a2c19e24b79ce0dcc3e62c54e1a0966fb74fb0bbe"},"schema_version":"1.0","source":{"id":"2403.13915","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.13915","created_at":"2026-07-05T07:58:51Z"},{"alias_kind":"arxiv_version","alias_value":"2403.13915v1","created_at":"2026-07-05T07:58:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.13915","created_at":"2026-07-05T07:58:51Z"},{"alias_kind":"pith_short_12","alias_value":"UQIDTWPG4UHH","created_at":"2026-07-05T07:58:51Z"},{"alias_kind":"pith_short_16","alias_value":"UQIDTWPG4UHHBWJU","created_at":"2026-07-05T07:58:51Z"},{"alias_kind":"pith_short_8","alias_value":"UQIDTWPG","created_at":"2026-07-05T07:58:51Z"}],"graph_snapshots":[{"event_id":"sha256:793a395d957bbbf1257573d94f69c85200ba0591d851f37a4135719a40a4cfac","target":"graph","created_at":"2026-07-05T07:58:51Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2403.13915/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper investigates basic properties of the de Sitter static patch using simple two-point functions in the probe approximation. We find that de Sitter equilibrates in a superdiffusive manner, unlike most physical systems which equilibrate diffusively. We also examine the scrambling time. In de Sitter, the two-point functions of free fields do not decay for sometime because quanta can reflect off the pole of the static patch. This suggests a minimum scrambling time of the order $\\log(1/G_N)$, even for perturbations introduced on the stretched horizon, indicating fast scrambling inside de Si","authors_text":"Alexey Milekhin, Jiuci Xu","cross_cats":["gr-qc","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-03-20T18:33:37Z","title":"On scrambling, tomperature and superdiffusion in de Sitter space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.13915","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:f30bb4e520a87295279daa101684c271ddb29c664b18752bd505becb731d6c2f","target":"record","created_at":"2026-07-05T07:58:51Z","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":"583e40f8153e04453d02589f98b8f72c7b2600ff16fa329a77f7b27adaa5de9a","cross_cats_sorted":["gr-qc","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-03-20T18:33:37Z","title_canon_sha256":"ea009ed73e2fa44b06158f8a2c19e24b79ce0dcc3e62c54e1a0966fb74fb0bbe"},"schema_version":"1.0","source":{"id":"2403.13915","kind":"arxiv","version":1}},"canonical_sha256":"a41039d9e6e50e70d934f4a4239a938dcd64d978defc90b06ebdb4cd91f8b4db","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a41039d9e6e50e70d934f4a4239a938dcd64d978defc90b06ebdb4cd91f8b4db","first_computed_at":"2026-07-05T07:58:51.955192Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:58:51.955192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9so1yo6ULbymfnMAjpNAXoyNUs9n8Pz9rrSxohtwXFHcmtYgzO581bT9Cm+14LQZ/AHJ7L94V9FAOZWBwFpvAA==","signature_status":"signed_v1","signed_at":"2026-07-05T07:58:51.955720Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.13915","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f30bb4e520a87295279daa101684c271ddb29c664b18752bd505becb731d6c2f","sha256:793a395d957bbbf1257573d94f69c85200ba0591d851f37a4135719a40a4cfac"],"state_sha256":"296572ee0602469011623c2139e3b584c28ec358d7516ea1d2397475f28beb68"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CUgT/RuKKwkgbW5waEghKRnuORbL7JaTlvAZXGozZ1P9FOsX7fxzEIXY9hIWq0J/XrVdVsQV8EURZ5r4O1RsDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T11:51:20.201089Z","bundle_sha256":"0e4c8e5732db69976f505ec34310d9efcdeea916865bb97a3eb404ea3e48c346"}}