{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:LYPGKZMVQQTECVZF6FHLOYC4YG","short_pith_number":"pith:LYPGKZMV","canonical_record":{"source":{"id":"1201.3890","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"physics.class-ph","submitted_at":"2012-01-18T19:37:57Z","cross_cats_sorted":[],"title_canon_sha256":"a3a9da5bd1703c964ec1fe8b762ae976c6171f84960cc45ff738433c0d3432f2","abstract_canon_sha256":"16a21ae954e69f57b6b57485b5d909b005f42985f4ffb4fd58f8ddd6f32af2ec"},"schema_version":"1.0"},"canonical_sha256":"5e1e6565958426415725f14eb7605cc19ecf17bfc71c66792228a5cc264cc076","source":{"kind":"arxiv","id":"1201.3890","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.3890","created_at":"2026-05-18T03:53:54Z"},{"alias_kind":"arxiv_version","alias_value":"1201.3890v3","created_at":"2026-05-18T03:53:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.3890","created_at":"2026-05-18T03:53:54Z"},{"alias_kind":"pith_short_12","alias_value":"LYPGKZMVQQTE","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LYPGKZMVQQTECVZF","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LYPGKZMV","created_at":"2026-05-18T12:27:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:LYPGKZMVQQTECVZF6FHLOYC4YG","target":"record","payload":{"canonical_record":{"source":{"id":"1201.3890","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"physics.class-ph","submitted_at":"2012-01-18T19:37:57Z","cross_cats_sorted":[],"title_canon_sha256":"a3a9da5bd1703c964ec1fe8b762ae976c6171f84960cc45ff738433c0d3432f2","abstract_canon_sha256":"16a21ae954e69f57b6b57485b5d909b005f42985f4ffb4fd58f8ddd6f32af2ec"},"schema_version":"1.0"},"canonical_sha256":"5e1e6565958426415725f14eb7605cc19ecf17bfc71c66792228a5cc264cc076","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:53:54.481276Z","signature_b64":"Sykd95aM6Ba5FN9e4zg2UKB+AAEkC/1B2sVmp81Fzr6SmHpzsfyL00sY3G1n1RH4AYICEOwCofV6CRniMtEVBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5e1e6565958426415725f14eb7605cc19ecf17bfc71c66792228a5cc264cc076","last_reissued_at":"2026-05-18T03:53:54.480743Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:53:54.480743Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1201.3890","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:53:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"757Swvxv2r8Cebr2UD1+jWmehOuriLoSFaNE8AhKjzYzm3suDSbyrqiJIshCn5MpjGjoTeVpKepSTiHDBhrgAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T20:55:01.660221Z"},"content_sha256":"428fb53167dd1743ad5d07ce378be3492e152a32a4e1a13404bb07914301dbcb","schema_version":"1.0","event_id":"sha256:428fb53167dd1743ad5d07ce378be3492e152a32a4e1a13404bb07914301dbcb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:LYPGKZMVQQTECVZF6FHLOYC4YG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entropic considerations on the Two-Capacitor Problem","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":[],"primary_cat":"physics.class-ph","authors_text":"Alexandre P. Lima, Ant\\^onio T. Costa Jr, Vitor Lara","submitted_at":"2012-01-18T19:37:57Z","abstract_excerpt":"In the present work we study the well-known Two Capacitor Problem from a new perspective. Although this problem has been thoroughly investigated, as far as we know there are no studies of the thermodynamic aspects of the discharge process. We use the Free Electron Gas Model to describe the electrons' energy levels in both capacitors in the low temperature regime. We assume that the capacitors and the resistor can exchange energy freely with a heat reservoir. We assume that the resistance is large enough to consider an isothermal heat exchange between the resistor and the heat reservoir. Thereb"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.3890","kind":"arxiv","version":3},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:53:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jCVVlGHFvHhaIGy0IqX9U7K7N5JeEJKGkt42dwbKb66LIKxYU97h/DjzwviV9C4ioRc6jC6ZO03ZZ8+nT8zCDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T20:55:01.660891Z"},"content_sha256":"f522735e0e658a9768846b4f6ae01e68bc02c4c67cf2ea38009b52d3ca4b42f4","schema_version":"1.0","event_id":"sha256:f522735e0e658a9768846b4f6ae01e68bc02c4c67cf2ea38009b52d3ca4b42f4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LYPGKZMVQQTECVZF6FHLOYC4YG/bundle.json","state_url":"https://pith.science/pith/LYPGKZMVQQTECVZF6FHLOYC4YG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LYPGKZMVQQTECVZF6FHLOYC4YG/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":"2026-06-11T20:55:01Z","links":{"resolver":"https://pith.science/pith/LYPGKZMVQQTECVZF6FHLOYC4YG","bundle":"https://pith.science/pith/LYPGKZMVQQTECVZF6FHLOYC4YG/bundle.json","state":"https://pith.science/pith/LYPGKZMVQQTECVZF6FHLOYC4YG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LYPGKZMVQQTECVZF6FHLOYC4YG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:LYPGKZMVQQTECVZF6FHLOYC4YG","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":"16a21ae954e69f57b6b57485b5d909b005f42985f4ffb4fd58f8ddd6f32af2ec","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"physics.class-ph","submitted_at":"2012-01-18T19:37:57Z","title_canon_sha256":"a3a9da5bd1703c964ec1fe8b762ae976c6171f84960cc45ff738433c0d3432f2"},"schema_version":"1.0","source":{"id":"1201.3890","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.3890","created_at":"2026-05-18T03:53:54Z"},{"alias_kind":"arxiv_version","alias_value":"1201.3890v3","created_at":"2026-05-18T03:53:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.3890","created_at":"2026-05-18T03:53:54Z"},{"alias_kind":"pith_short_12","alias_value":"LYPGKZMVQQTE","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LYPGKZMVQQTECVZF","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LYPGKZMV","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:f522735e0e658a9768846b4f6ae01e68bc02c4c67cf2ea38009b52d3ca4b42f4","target":"graph","created_at":"2026-05-18T03:53:54Z","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":"In the present work we study the well-known Two Capacitor Problem from a new perspective. Although this problem has been thoroughly investigated, as far as we know there are no studies of the thermodynamic aspects of the discharge process. We use the Free Electron Gas Model to describe the electrons' energy levels in both capacitors in the low temperature regime. We assume that the capacitors and the resistor can exchange energy freely with a heat reservoir. We assume that the resistance is large enough to consider an isothermal heat exchange between the resistor and the heat reservoir. Thereb","authors_text":"Alexandre P. Lima, Ant\\^onio T. Costa Jr, Vitor Lara","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"physics.class-ph","submitted_at":"2012-01-18T19:37:57Z","title":"Entropic considerations on the Two-Capacitor Problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.3890","kind":"arxiv","version":3},"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":"sha256:428fb53167dd1743ad5d07ce378be3492e152a32a4e1a13404bb07914301dbcb","target":"record","created_at":"2026-05-18T03:53:54Z","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":"16a21ae954e69f57b6b57485b5d909b005f42985f4ffb4fd58f8ddd6f32af2ec","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"physics.class-ph","submitted_at":"2012-01-18T19:37:57Z","title_canon_sha256":"a3a9da5bd1703c964ec1fe8b762ae976c6171f84960cc45ff738433c0d3432f2"},"schema_version":"1.0","source":{"id":"1201.3890","kind":"arxiv","version":3}},"canonical_sha256":"5e1e6565958426415725f14eb7605cc19ecf17bfc71c66792228a5cc264cc076","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5e1e6565958426415725f14eb7605cc19ecf17bfc71c66792228a5cc264cc076","first_computed_at":"2026-05-18T03:53:54.480743Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:53:54.480743Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Sykd95aM6Ba5FN9e4zg2UKB+AAEkC/1B2sVmp81Fzr6SmHpzsfyL00sY3G1n1RH4AYICEOwCofV6CRniMtEVBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:53:54.481276Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.3890","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:428fb53167dd1743ad5d07ce378be3492e152a32a4e1a13404bb07914301dbcb","sha256:f522735e0e658a9768846b4f6ae01e68bc02c4c67cf2ea38009b52d3ca4b42f4"],"state_sha256":"07b0e504340dae42619ca97a9944d3a67f900bc48efe1cec34ee3c751a4d519a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TUmmdt2WWJOFZl5JZ7RoLNVDMJ2VAVVTyHGEjayBgFkCZeTwxO3AUU4k7WMIT1xJ/iMT2Y/ZQa86LN/eI74rCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T20:55:01.664690Z","bundle_sha256":"e35f9107e6bce310c3a614ad2778dde2305df7bca9504ba6723f110e539b7174"}}