{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:EPZ5FRNN6MCONW5E6VEYGZADDV","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":"f43d5be4b7fafe97b158a49ee47e8a247ac8d2e1f194c4bc17e0b58acb8cf14f","cross_cats_sorted":["cond-mat.mes-hall","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-10-25T14:43:51Z","title_canon_sha256":"be3d98084cfb93044e7e76dc161b9fd4c79e5a6d143c8f26d37943a5b6e844f5"},"schema_version":"1.0","source":{"id":"1010.5148","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.5148","created_at":"2026-05-18T02:04:58Z"},{"alias_kind":"arxiv_version","alias_value":"1010.5148v2","created_at":"2026-05-18T02:04:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.5148","created_at":"2026-05-18T02:04:58Z"},{"alias_kind":"pith_short_12","alias_value":"EPZ5FRNN6MCO","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"EPZ5FRNN6MCONW5E","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"EPZ5FRNN","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:f246e668176005b014f67d3941d07ae53eda8fd2deadc3362eb8edf26dea7a9b","target":"graph","created_at":"2026-05-18T02:04:58Z","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":"Under the fluctuation of the electric charge and atomic mass, this paper considers the theory of the thin film depletion layer formation of an ensemble of finitely excited, non-empty $d/f$-orbital heavy materials, from the thermodynamic geometric perspective. At each state of the local adiabatic evolutions, we examine the nature of the thermodynamic parameters, \\textit{viz.}, electric charge and mass, changing at each respective embeddings. The definition of the intrinsic Riemannian geometry and differential topology offers the properties of (i) local heat capacities, (ii) global stability cri","authors_text":"B. N. Tiwari, S. Bellucci","cross_cats":["cond-mat.mes-hall","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-10-25T14:43:51Z","title":"Thermodynamic Geometry: Evolution, Correlation and Phase Transition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.5148","kind":"arxiv","version":2},"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":"sha256:3a9070a1184ed9f954f8ddc996f08e086c1bc8f23c131f356dac09d586f77565","target":"record","created_at":"2026-05-18T02:04:58Z","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":"f43d5be4b7fafe97b158a49ee47e8a247ac8d2e1f194c4bc17e0b58acb8cf14f","cross_cats_sorted":["cond-mat.mes-hall","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-10-25T14:43:51Z","title_canon_sha256":"be3d98084cfb93044e7e76dc161b9fd4c79e5a6d143c8f26d37943a5b6e844f5"},"schema_version":"1.0","source":{"id":"1010.5148","kind":"arxiv","version":2}},"canonical_sha256":"23f3d2c5adf304e6dba4f5498364031d79f932f921e273a4a3c52e16ec45523b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"23f3d2c5adf304e6dba4f5498364031d79f932f921e273a4a3c52e16ec45523b","first_computed_at":"2026-05-18T02:04:58.834253Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:04:58.834253Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V8fTWfzbA8XGcfkSW9HUg9F1oJND8r0Ca2py4mGxI4Sk9zXrWSB3F9MMgt9oLXGfVLBj1jj490nw9UbsWoBzCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:04:58.834822Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.5148","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3a9070a1184ed9f954f8ddc996f08e086c1bc8f23c131f356dac09d586f77565","sha256:f246e668176005b014f67d3941d07ae53eda8fd2deadc3362eb8edf26dea7a9b"],"state_sha256":"f65cf77ee88191cce5de83f863dc64dd73e18e47c90643471761885c38168afd"}