{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:6AVNBSWR6VXRU3EFEWOCLF4S2Z","short_pith_number":"pith:6AVNBSWR","schema_version":"1.0","canonical_sha256":"f02ad0cad1f56f1a6c85259c259792d6684c8c3aab34365af28f23d399d5ea6f","source":{"kind":"arxiv","id":"1101.3680","version":1},"attestation_state":"computed","paper":{"title":"Entropic equation of state and scaling functions near the critical point in scale-free networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"C. von Ferber, R. Folk, R. Kenna, V. Palchykov, Yu. Holovatch","submitted_at":"2011-01-19T12:54:22Z","abstract_excerpt":"We analyze the entropic equation of state for a many-particle interacting system in a scale-free network. The analysis is performed in terms of scaling functions which are of fundamental interest in the theory of critical phenomena and have previously been theoretically and experimentally explored in the context of various magnetic, fluid, and superconducting systems in two and three dimensions. Here, we obtain general scaling functions for the entropy, the constant-field heat capacity, and the isothermal magnetocaloric coefficient near the critical point in scale-free networks, where the node"},"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":"1101.3680","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-01-19T12:54:22Z","cross_cats_sorted":[],"title_canon_sha256":"07ce66555c514218cb7300a131eaa3f3a865bbf497ee5b90315a711825255889","abstract_canon_sha256":"d5a8235a27027bc447c911c55c49e2761b048910072feb749ca91d6f452d6557"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:07:54.175275Z","signature_b64":"OCfwvEuv65GxaVHLHvE7O7U5jiw3tiZfC51mbQOmy5kmzZR01qMEMYWPTB6NuyNHBHqGAkJprlSEPa8wu6CdDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f02ad0cad1f56f1a6c85259c259792d6684c8c3aab34365af28f23d399d5ea6f","last_reissued_at":"2026-05-18T04:07:54.174662Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:07:54.174662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Entropic equation of state and scaling functions near the critical point in scale-free networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"C. von Ferber, R. Folk, R. Kenna, V. Palchykov, Yu. Holovatch","submitted_at":"2011-01-19T12:54:22Z","abstract_excerpt":"We analyze the entropic equation of state for a many-particle interacting system in a scale-free network. The analysis is performed in terms of scaling functions which are of fundamental interest in the theory of critical phenomena and have previously been theoretically and experimentally explored in the context of various magnetic, fluid, and superconducting systems in two and three dimensions. Here, we obtain general scaling functions for the entropy, the constant-field heat capacity, and the isothermal magnetocaloric coefficient near the critical point in scale-free networks, where the node"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.3680","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":"1101.3680","created_at":"2026-05-18T04:07:54.174746+00:00"},{"alias_kind":"arxiv_version","alias_value":"1101.3680v1","created_at":"2026-05-18T04:07:54.174746+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.3680","created_at":"2026-05-18T04:07:54.174746+00:00"},{"alias_kind":"pith_short_12","alias_value":"6AVNBSWR6VXR","created_at":"2026-05-18T12:26:22.705136+00:00"},{"alias_kind":"pith_short_16","alias_value":"6AVNBSWR6VXRU3EF","created_at":"2026-05-18T12:26:22.705136+00:00"},{"alias_kind":"pith_short_8","alias_value":"6AVNBSWR","created_at":"2026-05-18T12:26:22.705136+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/6AVNBSWR6VXRU3EFEWOCLF4S2Z","json":"https://pith.science/pith/6AVNBSWR6VXRU3EFEWOCLF4S2Z.json","graph_json":"https://pith.science/api/pith-number/6AVNBSWR6VXRU3EFEWOCLF4S2Z/graph.json","events_json":"https://pith.science/api/pith-number/6AVNBSWR6VXRU3EFEWOCLF4S2Z/events.json","paper":"https://pith.science/paper/6AVNBSWR"},"agent_actions":{"view_html":"https://pith.science/pith/6AVNBSWR6VXRU3EFEWOCLF4S2Z","download_json":"https://pith.science/pith/6AVNBSWR6VXRU3EFEWOCLF4S2Z.json","view_paper":"https://pith.science/paper/6AVNBSWR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1101.3680&json=true","fetch_graph":"https://pith.science/api/pith-number/6AVNBSWR6VXRU3EFEWOCLF4S2Z/graph.json","fetch_events":"https://pith.science/api/pith-number/6AVNBSWR6VXRU3EFEWOCLF4S2Z/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6AVNBSWR6VXRU3EFEWOCLF4S2Z/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6AVNBSWR6VXRU3EFEWOCLF4S2Z/action/storage_attestation","attest_author":"https://pith.science/pith/6AVNBSWR6VXRU3EFEWOCLF4S2Z/action/author_attestation","sign_citation":"https://pith.science/pith/6AVNBSWR6VXRU3EFEWOCLF4S2Z/action/citation_signature","submit_replication":"https://pith.science/pith/6AVNBSWR6VXRU3EFEWOCLF4S2Z/action/replication_record"}},"created_at":"2026-05-18T04:07:54.174746+00:00","updated_at":"2026-05-18T04:07:54.174746+00:00"}