{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:LJ27BMLEENY5U5VCT46FLBY4SP","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":"52df71a1b4bec59d9d68b254eba58c2a8929494a89a577232f51bc9aef7a8988","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2017-04-10T21:31:23Z","title_canon_sha256":"b867bf1c22c41f792739e45f2f46f4b45238bb6b2b6a9a50dd5ac30661dc2352"},"schema_version":"1.0","source":{"id":"1704.04101","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.04101","created_at":"2026-05-18T00:46:25Z"},{"alias_kind":"arxiv_version","alias_value":"1704.04101v1","created_at":"2026-05-18T00:46:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.04101","created_at":"2026-05-18T00:46:25Z"},{"alias_kind":"pith_short_12","alias_value":"LJ27BMLEENY5","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"LJ27BMLEENY5U5VC","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"LJ27BMLE","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:a6fab0ebafa6e54c9c3bb8a313e791da9d8fd78435c6846ef4778e5a056bdfd0","target":"graph","created_at":"2026-05-18T00:46:25Z","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":"In this paper, we study fractional order heat equation in higher space-time dimensions and offer specific role of heat flows in various fractional dimensions. We offer fractional solutions of the heat equations thus obtained, and examine the associated implications in various limiting cases. We anticipate perspective applications of fractional heat flow solutions in physical systems.","authors_text":"Bhupendra Nath Tiwari, Dimple Singh, Nunu Yadav","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2017-04-10T21:31:23Z","title":"Fractional Order Heat Equation in Higher Space-Time Dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.04101","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:fe4cf7edd223aa9dae4f9ec1ebdf8fab02ac0a9e21fb91a7e289d4dfbef213bf","target":"record","created_at":"2026-05-18T00:46:25Z","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":"52df71a1b4bec59d9d68b254eba58c2a8929494a89a577232f51bc9aef7a8988","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2017-04-10T21:31:23Z","title_canon_sha256":"b867bf1c22c41f792739e45f2f46f4b45238bb6b2b6a9a50dd5ac30661dc2352"},"schema_version":"1.0","source":{"id":"1704.04101","kind":"arxiv","version":1}},"canonical_sha256":"5a75f0b1642371da76a29f3c55871c93c185105678f286076ec6f0eec2c93a67","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5a75f0b1642371da76a29f3c55871c93c185105678f286076ec6f0eec2c93a67","first_computed_at":"2026-05-18T00:46:25.348264Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:25.348264Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4EZwzXVQygX9NU7fDgDYHK4dBxDMkF97bGXkVjKUO0gZsUAARkjEAgsgDOi6ZKo7XWdHZBg48bUlWFibsj2iAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:25.348937Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.04101","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe4cf7edd223aa9dae4f9ec1ebdf8fab02ac0a9e21fb91a7e289d4dfbef213bf","sha256:a6fab0ebafa6e54c9c3bb8a313e791da9d8fd78435c6846ef4778e5a056bdfd0"],"state_sha256":"ae65e8e12d68cd73cfe9570cbfc404e6973943dc05220d8709639d9a9c739548"}