{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:GAH4IRL3N4HXIL7Z3FCI6RYRGS","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":"c744247bc203219b2764cf2b698975be312f8330163245192b665adb564e5ef9","cross_cats_sorted":[],"license":"","primary_cat":"math.DG","submitted_at":"2008-02-21T13:52:49Z","title_canon_sha256":"bc4b38f3c27dd2b187063fb2ed4ef65ebf07fce93879d1a17c5aacf7a6a69e18"},"schema_version":"1.0","source":{"id":"0802.3111","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0802.3111","created_at":"2026-05-18T02:49:54Z"},{"alias_kind":"arxiv_version","alias_value":"0802.3111v1","created_at":"2026-05-18T02:49:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0802.3111","created_at":"2026-05-18T02:49:54Z"},{"alias_kind":"pith_short_12","alias_value":"GAH4IRL3N4HX","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"GAH4IRL3N4HXIL7Z","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"GAH4IRL3","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:4dc905f7ef9d518648a1dfff8c4aeb0ad212b1073ac9eacd03a7615f011ca6e9","target":"graph","created_at":"2026-05-18T02:49:54Z","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 obtain an off-diagonal upper bound for Green and heat kernel of Laplace type operator on symmetric spaces.","authors_text":"Gilles Carron (LMJL)","cross_cats":[],"headline":"","license":"","primary_cat":"math.DG","submitted_at":"2008-02-21T13:52:49Z","title":"Estim\\'ees des noyaux de Green et de la chaleur sur les espaces sym\\'etriques"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0802.3111","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":"sha256:0894bf215677bd2a57ca442db0fca15d045a91302645d5ffc6620695657f4b8c","target":"record","created_at":"2026-05-18T02:49:54Z","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":"c744247bc203219b2764cf2b698975be312f8330163245192b665adb564e5ef9","cross_cats_sorted":[],"license":"","primary_cat":"math.DG","submitted_at":"2008-02-21T13:52:49Z","title_canon_sha256":"bc4b38f3c27dd2b187063fb2ed4ef65ebf07fce93879d1a17c5aacf7a6a69e18"},"schema_version":"1.0","source":{"id":"0802.3111","kind":"arxiv","version":1}},"canonical_sha256":"300fc4457b6f0f742ff9d9448f471134b8b7fb5caf0e68a261f97bbed4692732","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"300fc4457b6f0f742ff9d9448f471134b8b7fb5caf0e68a261f97bbed4692732","first_computed_at":"2026-05-18T02:49:54.386700Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:49:54.386700Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/XKBNvIgmGAnRNNY/MqIPD+q8lU15bMGeKJVc228MvEXcLXEIkEMhAQpR8VP3MHv5LSU/uBnJ4yOVG8dE8UmAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:49:54.387306Z","signed_message":"canonical_sha256_bytes"},"source_id":"0802.3111","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0894bf215677bd2a57ca442db0fca15d045a91302645d5ffc6620695657f4b8c","sha256:4dc905f7ef9d518648a1dfff8c4aeb0ad212b1073ac9eacd03a7615f011ca6e9"],"state_sha256":"bd3de481944daee3348d3b0495f48a0bdb9e49f96be92cb7373c78470c767d62"}