{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:AMKZVJMMWBKN2HM3O4UUZGZX3C","short_pith_number":"pith:AMKZVJMM","schema_version":"1.0","canonical_sha256":"03159aa58cb054dd1d9b77294c9b37d897cab85e8803c4340f11488842e9dfe5","source":{"kind":"arxiv","id":"1902.02335","version":1},"attestation_state":"computed","paper":{"title":"Introducing the Hamiltonian as a \"thermodynamic\" potential","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.class-ph","authors_text":"V\\'ictor F. Correa","submitted_at":"2019-02-06T18:52:00Z","abstract_excerpt":"A conceptually simple physical interpretation of a conserved Hamiltonian $\\mathcal{H}$ for a mechanical system with a time-dependent constraint is given. For the case of a bead on a vertical hoop forced to rotate with constant angular velocity $\\omega$, $\\mathcal{H}$ is nothing but the total energy of the system plus the external actuator keeping $\\omega$ fixed. In an analogy with thermodynamics, the Hamiltonian is introduced as a thermodynamic potential obtained from a Legendre transformation of the energy, in a very instructive way. The ideas can be made extensive to different problems with "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1902.02335","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2019-02-06T18:52:00Z","cross_cats_sorted":[],"title_canon_sha256":"b71e3960deb3cb2ce25ca285e9f7983c63078eb8c955705c2c6615611a25d120","abstract_canon_sha256":"d3a0222b33a0cf52853a35cba41c78197504fa6941871d833ce7a1a3624814da"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:30.194042Z","signature_b64":"1YbapQU6FQRj1b1XCAJaJliZMtAGT8qEfbz/8/IXbPS9gUHIXeztKpXia9770nJlOBWPEZHlMGRmccebQyfMAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"03159aa58cb054dd1d9b77294c9b37d897cab85e8803c4340f11488842e9dfe5","last_reissued_at":"2026-05-17T23:45:30.193399Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:30.193399Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Introducing the Hamiltonian as a \"thermodynamic\" potential","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.class-ph","authors_text":"V\\'ictor F. Correa","submitted_at":"2019-02-06T18:52:00Z","abstract_excerpt":"A conceptually simple physical interpretation of a conserved Hamiltonian $\\mathcal{H}$ for a mechanical system with a time-dependent constraint is given. For the case of a bead on a vertical hoop forced to rotate with constant angular velocity $\\omega$, $\\mathcal{H}$ is nothing but the total energy of the system plus the external actuator keeping $\\omega$ fixed. In an analogy with thermodynamics, the Hamiltonian is introduced as a thermodynamic potential obtained from a Legendre transformation of the energy, in a very instructive way. The ideas can be made extensive to different problems with "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.02335","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":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1902.02335","created_at":"2026-05-17T23:45:30.193503+00:00"},{"alias_kind":"arxiv_version","alias_value":"1902.02335v1","created_at":"2026-05-17T23:45:30.193503+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.02335","created_at":"2026-05-17T23:45:30.193503+00:00"},{"alias_kind":"pith_short_12","alias_value":"AMKZVJMMWBKN","created_at":"2026-05-18T12:33:12.712433+00:00"},{"alias_kind":"pith_short_16","alias_value":"AMKZVJMMWBKN2HM3","created_at":"2026-05-18T12:33:12.712433+00:00"},{"alias_kind":"pith_short_8","alias_value":"AMKZVJMM","created_at":"2026-05-18T12:33:12.712433+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/AMKZVJMMWBKN2HM3O4UUZGZX3C","json":"https://pith.science/pith/AMKZVJMMWBKN2HM3O4UUZGZX3C.json","graph_json":"https://pith.science/api/pith-number/AMKZVJMMWBKN2HM3O4UUZGZX3C/graph.json","events_json":"https://pith.science/api/pith-number/AMKZVJMMWBKN2HM3O4UUZGZX3C/events.json","paper":"https://pith.science/paper/AMKZVJMM"},"agent_actions":{"view_html":"https://pith.science/pith/AMKZVJMMWBKN2HM3O4UUZGZX3C","download_json":"https://pith.science/pith/AMKZVJMMWBKN2HM3O4UUZGZX3C.json","view_paper":"https://pith.science/paper/AMKZVJMM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1902.02335&json=true","fetch_graph":"https://pith.science/api/pith-number/AMKZVJMMWBKN2HM3O4UUZGZX3C/graph.json","fetch_events":"https://pith.science/api/pith-number/AMKZVJMMWBKN2HM3O4UUZGZX3C/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AMKZVJMMWBKN2HM3O4UUZGZX3C/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AMKZVJMMWBKN2HM3O4UUZGZX3C/action/storage_attestation","attest_author":"https://pith.science/pith/AMKZVJMMWBKN2HM3O4UUZGZX3C/action/author_attestation","sign_citation":"https://pith.science/pith/AMKZVJMMWBKN2HM3O4UUZGZX3C/action/citation_signature","submit_replication":"https://pith.science/pith/AMKZVJMMWBKN2HM3O4UUZGZX3C/action/replication_record"}},"created_at":"2026-05-17T23:45:30.193503+00:00","updated_at":"2026-05-17T23:45:30.193503+00:00"}