{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:7AVNLVDA64QGRMHFJMLSPDFYOD","short_pith_number":"pith:7AVNLVDA","canonical_record":{"source":{"id":"1412.1951","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-12-05T11:01:30Z","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"title_canon_sha256":"56084e230e0f655ffae25650e8dc165e1201c3fbbf8172b755f5d332cac8b136","abstract_canon_sha256":"57dd827f0156b9a557397420cc41c6478669e3def42440f9a1e2a6d4897adb95"},"schema_version":"1.0"},"canonical_sha256":"f82ad5d460f72068b0e54b17278cb870f920c0b173beb6d4e012e7a4bfd233ed","source":{"kind":"arxiv","id":"1412.1951","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.1951","created_at":"2026-05-18T02:17:21Z"},{"alias_kind":"arxiv_version","alias_value":"1412.1951v2","created_at":"2026-05-18T02:17:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.1951","created_at":"2026-05-18T02:17:21Z"},{"alias_kind":"pith_short_12","alias_value":"7AVNLVDA64QG","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"7AVNLVDA64QGRMHF","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"7AVNLVDA","created_at":"2026-05-18T12:28:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:7AVNLVDA64QGRMHFJMLSPDFYOD","target":"record","payload":{"canonical_record":{"source":{"id":"1412.1951","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-12-05T11:01:30Z","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"title_canon_sha256":"56084e230e0f655ffae25650e8dc165e1201c3fbbf8172b755f5d332cac8b136","abstract_canon_sha256":"57dd827f0156b9a557397420cc41c6478669e3def42440f9a1e2a6d4897adb95"},"schema_version":"1.0"},"canonical_sha256":"f82ad5d460f72068b0e54b17278cb870f920c0b173beb6d4e012e7a4bfd233ed","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:17:21.735478Z","signature_b64":"fiq+3MKoleNCG0R/T5ZIxU6cvhZz+VT82hUSrkpPg5X5DRRw7w+5MtNO4fivGmm5BPiGAGQ7zRiDJSsTQ0KuDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f82ad5d460f72068b0e54b17278cb870f920c0b173beb6d4e012e7a4bfd233ed","last_reissued_at":"2026-05-18T02:17:21.734807Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:17:21.734807Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.1951","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:17:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0yq+uPFNLxaL8TM2tQcCjh2t5IXndXQrAG5U/ETbv465w/+xvxuReBn3qDhsEYEXBj6sM0k2GgwPM4q4d1sBCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T13:19:27.476338Z"},"content_sha256":"d566a91ba157dc06d0449fae86636e868101e515879f39a7ce0b9e0441978e9f","schema_version":"1.0","event_id":"sha256:d566a91ba157dc06d0449fae86636e868101e515879f39a7ce0b9e0441978e9f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:7AVNLVDA64QGRMHFJMLSPDFYOD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact solution of the van der Waals model in the critical region","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","nlin.SI"],"primary_cat":"cond-mat.stat-mech","authors_text":"Adriano Barra, Antonio Moro","submitted_at":"2014-12-05T11:01:30Z","abstract_excerpt":"The celebrated van der Waals model describes simple fluids in the thermodynamic limit and predicts the existence of a critical point associated to the gas-liquid phase transition. However the behaviour of critical isotherms according to the equation of state, where a gas-liquid phase transition occurs, significantly departs from experimental observations. The correct critical isotherms are heuristically re-established via the Maxwell equal areas rule. A long standing open problem in mean field theory is concerned with the analytic description of van der Waals isotherms for a finite size system"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.1951","kind":"arxiv","version":2},"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":"2026-05-18T02:17:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"56erQBfOPkqPE4j1FP2Sa2DydFbE+qIMTxq2u39SfGz+oExvDU64nt2TGUSZodN/36yrGqWbCnBXKHEp9yRABQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T13:19:27.477053Z"},"content_sha256":"616997059d7a37de6d609139d55c22e1f3eae577aece8127358eebc435974ea2","schema_version":"1.0","event_id":"sha256:616997059d7a37de6d609139d55c22e1f3eae577aece8127358eebc435974ea2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7AVNLVDA64QGRMHFJMLSPDFYOD/bundle.json","state_url":"https://pith.science/pith/7AVNLVDA64QGRMHFJMLSPDFYOD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7AVNLVDA64QGRMHFJMLSPDFYOD/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":"2026-05-26T13:19:27Z","links":{"resolver":"https://pith.science/pith/7AVNLVDA64QGRMHFJMLSPDFYOD","bundle":"https://pith.science/pith/7AVNLVDA64QGRMHFJMLSPDFYOD/bundle.json","state":"https://pith.science/pith/7AVNLVDA64QGRMHFJMLSPDFYOD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7AVNLVDA64QGRMHFJMLSPDFYOD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:7AVNLVDA64QGRMHFJMLSPDFYOD","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":"57dd827f0156b9a557397420cc41c6478669e3def42440f9a1e2a6d4897adb95","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-12-05T11:01:30Z","title_canon_sha256":"56084e230e0f655ffae25650e8dc165e1201c3fbbf8172b755f5d332cac8b136"},"schema_version":"1.0","source":{"id":"1412.1951","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.1951","created_at":"2026-05-18T02:17:21Z"},{"alias_kind":"arxiv_version","alias_value":"1412.1951v2","created_at":"2026-05-18T02:17:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.1951","created_at":"2026-05-18T02:17:21Z"},{"alias_kind":"pith_short_12","alias_value":"7AVNLVDA64QG","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"7AVNLVDA64QGRMHF","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"7AVNLVDA","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:616997059d7a37de6d609139d55c22e1f3eae577aece8127358eebc435974ea2","target":"graph","created_at":"2026-05-18T02:17:21Z","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":"The celebrated van der Waals model describes simple fluids in the thermodynamic limit and predicts the existence of a critical point associated to the gas-liquid phase transition. However the behaviour of critical isotherms according to the equation of state, where a gas-liquid phase transition occurs, significantly departs from experimental observations. The correct critical isotherms are heuristically re-established via the Maxwell equal areas rule. A long standing open problem in mean field theory is concerned with the analytic description of van der Waals isotherms for a finite size system","authors_text":"Adriano Barra, Antonio Moro","cross_cats":["math-ph","math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-12-05T11:01:30Z","title":"Exact solution of the van der Waals model in the critical region"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.1951","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:d566a91ba157dc06d0449fae86636e868101e515879f39a7ce0b9e0441978e9f","target":"record","created_at":"2026-05-18T02:17:21Z","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":"57dd827f0156b9a557397420cc41c6478669e3def42440f9a1e2a6d4897adb95","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-12-05T11:01:30Z","title_canon_sha256":"56084e230e0f655ffae25650e8dc165e1201c3fbbf8172b755f5d332cac8b136"},"schema_version":"1.0","source":{"id":"1412.1951","kind":"arxiv","version":2}},"canonical_sha256":"f82ad5d460f72068b0e54b17278cb870f920c0b173beb6d4e012e7a4bfd233ed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f82ad5d460f72068b0e54b17278cb870f920c0b173beb6d4e012e7a4bfd233ed","first_computed_at":"2026-05-18T02:17:21.734807Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:17:21.734807Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fiq+3MKoleNCG0R/T5ZIxU6cvhZz+VT82hUSrkpPg5X5DRRw7w+5MtNO4fivGmm5BPiGAGQ7zRiDJSsTQ0KuDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:17:21.735478Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.1951","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d566a91ba157dc06d0449fae86636e868101e515879f39a7ce0b9e0441978e9f","sha256:616997059d7a37de6d609139d55c22e1f3eae577aece8127358eebc435974ea2"],"state_sha256":"1c1907c6446d7e2714dfbc8267b42809f8386ec412c9a1628fbd218614329345"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6ATphACn5FYMkma/AKtzwhpt0Kgw9ke09VrJbRZqz4gSztwrKRpsZCinej7s8lSJVJ2LaB/7SwaAWUGNgS0PCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T13:19:27.480070Z","bundle_sha256":"1155b6342efd199bec284ae6b496b99ae22e47fb4ae487066367bd07f26f9b4c"}}