{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:2635E2MOGHIQHRBMIESKVKNJ5O","short_pith_number":"pith:2635E2MO","canonical_record":{"source":{"id":"2410.20426","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-10-27T12:49:26Z","cross_cats_sorted":[],"title_canon_sha256":"2c54da455b7b011da1c68f53dd36f559d61688813f5c3230207ebf33e0c32b31","abstract_canon_sha256":"3502964ff5f54e25cc9d6cf72d0e00e685b558781b0212e361d97897a494e922"},"schema_version":"1.0"},"canonical_sha256":"d7b7d2698e31d103c42c4124aaa9a9eb852d65c5295a0e34d9ed17c8d7d24128","source":{"kind":"arxiv","id":"2410.20426","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.20426","created_at":"2026-06-09T01:04:37Z"},{"alias_kind":"arxiv_version","alias_value":"2410.20426v4","created_at":"2026-06-09T01:04:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.20426","created_at":"2026-06-09T01:04:37Z"},{"alias_kind":"pith_short_12","alias_value":"2635E2MOGHIQ","created_at":"2026-06-09T01:04:37Z"},{"alias_kind":"pith_short_16","alias_value":"2635E2MOGHIQHRBM","created_at":"2026-06-09T01:04:37Z"},{"alias_kind":"pith_short_8","alias_value":"2635E2MO","created_at":"2026-06-09T01:04:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:2635E2MOGHIQHRBMIESKVKNJ5O","target":"record","payload":{"canonical_record":{"source":{"id":"2410.20426","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-10-27T12:49:26Z","cross_cats_sorted":[],"title_canon_sha256":"2c54da455b7b011da1c68f53dd36f559d61688813f5c3230207ebf33e0c32b31","abstract_canon_sha256":"3502964ff5f54e25cc9d6cf72d0e00e685b558781b0212e361d97897a494e922"},"schema_version":"1.0"},"canonical_sha256":"d7b7d2698e31d103c42c4124aaa9a9eb852d65c5295a0e34d9ed17c8d7d24128","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-09T01:04:37.561721Z","signature_b64":"QAXt09520WKImzCcfdVXciWiZgeJYoyEQh1kCnkh7p5UX1bwCHXY8GCelw8imkyITKdMf6GfXq3gQ/PJnT90DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d7b7d2698e31d103c42c4124aaa9a9eb852d65c5295a0e34d9ed17c8d7d24128","last_reissued_at":"2026-06-09T01:04:37.561227Z","signature_status":"signed_v1","first_computed_at":"2026-06-09T01:04:37.561227Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2410.20426","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-09T01:04:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xxSq3SGFB0bmJQo5hpOV1xXbHfKZVofUJea3E1mJIvCZmItME3ljcIsr7J8Cy8C54DvMxPPC0wVLNuJ7d/GvAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T20:32:27.461225Z"},"content_sha256":"aa6b1e7df61e177c90077b1efe27d7f53614f6b44d82749eef5e5181893f3fca","schema_version":"1.0","event_id":"sha256:aa6b1e7df61e177c90077b1efe27d7f53614f6b44d82749eef5e5181893f3fca"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:2635E2MOGHIQHRBMIESKVKNJ5O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact Temporal Variation for Fractional Stochastic Heat Equation Driven by Space-Time White Noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Huisheng Shu, Litan Yan, Yongkang Li","submitted_at":"2024-10-27T12:49:26Z","abstract_excerpt":"In this paper, we consider the exact fractional variation for the temporal process of the solution to the fractional stochastic heat equation on $\\mathbb{R}$ driven by a space-time white noise, and as an application we give the estimate of drift parameter."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.20426","kind":"arxiv","version":4},"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/2410.20426/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":"2026-06-09T01:04:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8ndMmA+LM9MbiCWmQ5Sv0upcPu8aTzJMG/HGPHuSqTcu/tILYhkHGYMRIPyxolH06QqrwBGzvPbpe/caVIO7AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T20:32:27.461611Z"},"content_sha256":"fe463b3a55a1413302ec5823249a11c3fa565588dcd3c5b2869508969cb4700c","schema_version":"1.0","event_id":"sha256:fe463b3a55a1413302ec5823249a11c3fa565588dcd3c5b2869508969cb4700c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2635E2MOGHIQHRBMIESKVKNJ5O/bundle.json","state_url":"https://pith.science/pith/2635E2MOGHIQHRBMIESKVKNJ5O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2635E2MOGHIQHRBMIESKVKNJ5O/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":"2026-06-25T20:32:27Z","links":{"resolver":"https://pith.science/pith/2635E2MOGHIQHRBMIESKVKNJ5O","bundle":"https://pith.science/pith/2635E2MOGHIQHRBMIESKVKNJ5O/bundle.json","state":"https://pith.science/pith/2635E2MOGHIQHRBMIESKVKNJ5O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2635E2MOGHIQHRBMIESKVKNJ5O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:2635E2MOGHIQHRBMIESKVKNJ5O","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":"3502964ff5f54e25cc9d6cf72d0e00e685b558781b0212e361d97897a494e922","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-10-27T12:49:26Z","title_canon_sha256":"2c54da455b7b011da1c68f53dd36f559d61688813f5c3230207ebf33e0c32b31"},"schema_version":"1.0","source":{"id":"2410.20426","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.20426","created_at":"2026-06-09T01:04:37Z"},{"alias_kind":"arxiv_version","alias_value":"2410.20426v4","created_at":"2026-06-09T01:04:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.20426","created_at":"2026-06-09T01:04:37Z"},{"alias_kind":"pith_short_12","alias_value":"2635E2MOGHIQ","created_at":"2026-06-09T01:04:37Z"},{"alias_kind":"pith_short_16","alias_value":"2635E2MOGHIQHRBM","created_at":"2026-06-09T01:04:37Z"},{"alias_kind":"pith_short_8","alias_value":"2635E2MO","created_at":"2026-06-09T01:04:37Z"}],"graph_snapshots":[{"event_id":"sha256:fe463b3a55a1413302ec5823249a11c3fa565588dcd3c5b2869508969cb4700c","target":"graph","created_at":"2026-06-09T01:04:37Z","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/2410.20426/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we consider the exact fractional variation for the temporal process of the solution to the fractional stochastic heat equation on $\\mathbb{R}$ driven by a space-time white noise, and as an application we give the estimate of drift parameter.","authors_text":"Huisheng Shu, Litan Yan, Yongkang Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-10-27T12:49:26Z","title":"Exact Temporal Variation for Fractional Stochastic Heat Equation Driven by Space-Time White Noise"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.20426","kind":"arxiv","version":4},"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:aa6b1e7df61e177c90077b1efe27d7f53614f6b44d82749eef5e5181893f3fca","target":"record","created_at":"2026-06-09T01:04:37Z","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":"3502964ff5f54e25cc9d6cf72d0e00e685b558781b0212e361d97897a494e922","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-10-27T12:49:26Z","title_canon_sha256":"2c54da455b7b011da1c68f53dd36f559d61688813f5c3230207ebf33e0c32b31"},"schema_version":"1.0","source":{"id":"2410.20426","kind":"arxiv","version":4}},"canonical_sha256":"d7b7d2698e31d103c42c4124aaa9a9eb852d65c5295a0e34d9ed17c8d7d24128","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d7b7d2698e31d103c42c4124aaa9a9eb852d65c5295a0e34d9ed17c8d7d24128","first_computed_at":"2026-06-09T01:04:37.561227Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-09T01:04:37.561227Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QAXt09520WKImzCcfdVXciWiZgeJYoyEQh1kCnkh7p5UX1bwCHXY8GCelw8imkyITKdMf6GfXq3gQ/PJnT90DA==","signature_status":"signed_v1","signed_at":"2026-06-09T01:04:37.561721Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.20426","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa6b1e7df61e177c90077b1efe27d7f53614f6b44d82749eef5e5181893f3fca","sha256:fe463b3a55a1413302ec5823249a11c3fa565588dcd3c5b2869508969cb4700c"],"state_sha256":"fc8dd38e1b88e54b9cb8cab2e1e09fc4a4e5faf01dc045182355307b8676532b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"go7H9nFzmtWcrcYq474rsLJoOZVsNVD/a7224ZbZHRuql6jeUH+rhGnf+8MihGe9HtiZiir1mENz72MnVYFRDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T20:32:27.464464Z","bundle_sha256":"176b224b8819b70321eab3c46a121b78055a4a41a8a46fffe7adabe40203d1ae"}}