With　the　assistance　of　the　Internet　of　Things,　the　fast　developing　Healthcare　Internet　of　Things　(H-IoT)　has　promoted　the　healthcare　ecosystem　into　the　era　of　Health　5.0　and　enables　many　promising　medical　applications,　such　as　remote　healthcare　that　is　crucial　in　pandemic　(e.g.,　coronavirus　disease　2019).　Healthcare　participants　can　make　accurate　diagnosis,　treatment,　and　research　based　on　the　shared　personal　health　records　(PHRs)　sensed　from　remote　H-IoT　devices.　However,　current　H-IoT　systems　fall　short　of　a　secure　and　trustworthy　PHR　sharing　service　in　remote　healthcare,　which　is　able　to　prevent　user　privacy　leakage　and　PHR　integrity　violation　together　with　high　efficiency　in　key　distribution　alongside　efficient　data　retrieval　and　fine-grained　access　control.　In　response,　we　present　a　blockchain-based　hierarchical　data　sharing　framework　(BHDSF)　to　provide　fine-grained　access　control　and　efficient　retrieval　over　encrypted　PHRs　with　low　consumed　hierarchical　key　distribution　and　key　leakage　resistance.　Compared　with　the　existing　solutions,　the　BHDSF　takes　both　untrusted　cloud　and　malicious　auditor　into　consideration　simultaneously　and　achieves　trustworthy　PHR　integrity　auditing　and　metadata　verification　by　leveraging　the　blockchain　technique.　Besides,　the　BHDSF　enables　efficiently　aggregative　authentication　for　the　trustworthiness　of　source　records　from　H-IoT　devices,　which　is　lacked　in　most　of　the　existing　data　sharing　frameworks.　Finally,　we　demonstrate　the　feasibility　of　the　BHDSF　by　conducting　extensive　empirical　tests　over　a　real-world　dataset.