{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:4LYQE6LAF6OMSQE62HAK4X3JTH","short_pith_number":"pith:4LYQE6LA","canonical_record":{"source":{"id":"1804.05523","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-04-16T07:18:24Z","cross_cats_sorted":[],"title_canon_sha256":"df24585a14c1c68e4249ca8740b8a7f049ea427927576cf424f26fd9b84f0262","abstract_canon_sha256":"198ef4459174db3901d9c01f1f7f84dcf7c30ed2a1675ebde7655e664d33f6fa"},"schema_version":"1.0"},"canonical_sha256":"e2f10279602f9cc9409ed1c0ae5f6999f19acd0369c8fe7788f4663cb7cc071b","source":{"kind":"arxiv","id":"1804.05523","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.05523","created_at":"2026-05-18T00:18:24Z"},{"alias_kind":"arxiv_version","alias_value":"1804.05523v2","created_at":"2026-05-18T00:18:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.05523","created_at":"2026-05-18T00:18:24Z"},{"alias_kind":"pith_short_12","alias_value":"4LYQE6LAF6OM","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"4LYQE6LAF6OMSQE6","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"4LYQE6LA","created_at":"2026-05-18T12:32:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:4LYQE6LAF6OMSQE62HAK4X3JTH","target":"record","payload":{"canonical_record":{"source":{"id":"1804.05523","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-04-16T07:18:24Z","cross_cats_sorted":[],"title_canon_sha256":"df24585a14c1c68e4249ca8740b8a7f049ea427927576cf424f26fd9b84f0262","abstract_canon_sha256":"198ef4459174db3901d9c01f1f7f84dcf7c30ed2a1675ebde7655e664d33f6fa"},"schema_version":"1.0"},"canonical_sha256":"e2f10279602f9cc9409ed1c0ae5f6999f19acd0369c8fe7788f4663cb7cc071b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:18:24.918112Z","signature_b64":"eqX3tDNwSmeFhZO1VggufC8QiMVmK8x430yVg9Cn+9F1FT5Igoks+K8Om3NwFvrxwhKCn3oaeaYIq2rDusSeBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e2f10279602f9cc9409ed1c0ae5f6999f19acd0369c8fe7788f4663cb7cc071b","last_reissued_at":"2026-05-18T00:18:24.917555Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:18:24.917555Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.05523","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":"2026-05-18T00:18:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6RYoP/ch7OqkOC1AlSPAQBqYkddCUFlXooeDz/RtGtGj350lq2URroHAkDXBOUyCqGAZFwRk4kDWJLL2UdbbDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T21:52:53.536829Z"},"content_sha256":"38e33c4619c5c3ae272b9e3817775f12dcc192a364c46ab35d65b61100079f27","schema_version":"1.0","event_id":"sha256:38e33c4619c5c3ae272b9e3817775f12dcc192a364c46ab35d65b61100079f27"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:4LYQE6LAF6OMSQE62HAK4X3JTH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A \"mean-field approximation\" on the phase transitions of three-dimensional Lennard-Jones model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Hisato Komatsu","submitted_at":"2018-04-16T07:18:24Z","abstract_excerpt":"It is difficult to derive the solid-fluid transition theoretically from microscopic models, although this phenomenon itself has been investigated for a long time. We previously constructed an exactly-solvable model with the solid-fluid transition. This model resembles the infinite-range (or mean-field) model in spin systems in some points, hence it can be called a \"mean-field model\" of the solid-fluid transition. In the present paper, we construct a \"mean-field approximation\" of the solid-fluid transition by using the \"mean-field model\" introduced in our previous study, and tries to describe t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.05523","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":"2026-05-18T00:18:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3QsmgCCT3PyLx9YotdaYTk4XiwXmkHyzupRdrt7SXNAKRa+uafioRRc4C4yzHeb/kLiAPsEvxR+JzeBgMHBnDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T21:52:53.537169Z"},"content_sha256":"16783174a2b4fe90015c825fe711830a2273e7037bb9060ce1f4a224088a3b11","schema_version":"1.0","event_id":"sha256:16783174a2b4fe90015c825fe711830a2273e7037bb9060ce1f4a224088a3b11"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4LYQE6LAF6OMSQE62HAK4X3JTH/bundle.json","state_url":"https://pith.science/pith/4LYQE6LAF6OMSQE62HAK4X3JTH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4LYQE6LAF6OMSQE62HAK4X3JTH/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":"2026-06-08T21:52:53Z","links":{"resolver":"https://pith.science/pith/4LYQE6LAF6OMSQE62HAK4X3JTH","bundle":"https://pith.science/pith/4LYQE6LAF6OMSQE62HAK4X3JTH/bundle.json","state":"https://pith.science/pith/4LYQE6LAF6OMSQE62HAK4X3JTH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4LYQE6LAF6OMSQE62HAK4X3JTH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:4LYQE6LAF6OMSQE62HAK4X3JTH","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":"198ef4459174db3901d9c01f1f7f84dcf7c30ed2a1675ebde7655e664d33f6fa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-04-16T07:18:24Z","title_canon_sha256":"df24585a14c1c68e4249ca8740b8a7f049ea427927576cf424f26fd9b84f0262"},"schema_version":"1.0","source":{"id":"1804.05523","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.05523","created_at":"2026-05-18T00:18:24Z"},{"alias_kind":"arxiv_version","alias_value":"1804.05523v2","created_at":"2026-05-18T00:18:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.05523","created_at":"2026-05-18T00:18:24Z"},{"alias_kind":"pith_short_12","alias_value":"4LYQE6LAF6OM","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"4LYQE6LAF6OMSQE6","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"4LYQE6LA","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:16783174a2b4fe90015c825fe711830a2273e7037bb9060ce1f4a224088a3b11","target":"graph","created_at":"2026-05-18T00:18:24Z","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":"It is difficult to derive the solid-fluid transition theoretically from microscopic models, although this phenomenon itself has been investigated for a long time. We previously constructed an exactly-solvable model with the solid-fluid transition. This model resembles the infinite-range (or mean-field) model in spin systems in some points, hence it can be called a \"mean-field model\" of the solid-fluid transition. In the present paper, we construct a \"mean-field approximation\" of the solid-fluid transition by using the \"mean-field model\" introduced in our previous study, and tries to describe t","authors_text":"Hisato Komatsu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-04-16T07:18:24Z","title":"A \"mean-field approximation\" on the phase transitions of three-dimensional Lennard-Jones model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.05523","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":"sha256:38e33c4619c5c3ae272b9e3817775f12dcc192a364c46ab35d65b61100079f27","target":"record","created_at":"2026-05-18T00:18:24Z","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":"198ef4459174db3901d9c01f1f7f84dcf7c30ed2a1675ebde7655e664d33f6fa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-04-16T07:18:24Z","title_canon_sha256":"df24585a14c1c68e4249ca8740b8a7f049ea427927576cf424f26fd9b84f0262"},"schema_version":"1.0","source":{"id":"1804.05523","kind":"arxiv","version":2}},"canonical_sha256":"e2f10279602f9cc9409ed1c0ae5f6999f19acd0369c8fe7788f4663cb7cc071b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e2f10279602f9cc9409ed1c0ae5f6999f19acd0369c8fe7788f4663cb7cc071b","first_computed_at":"2026-05-18T00:18:24.917555Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:24.917555Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eqX3tDNwSmeFhZO1VggufC8QiMVmK8x430yVg9Cn+9F1FT5Igoks+K8Om3NwFvrxwhKCn3oaeaYIq2rDusSeBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:24.918112Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.05523","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:38e33c4619c5c3ae272b9e3817775f12dcc192a364c46ab35d65b61100079f27","sha256:16783174a2b4fe90015c825fe711830a2273e7037bb9060ce1f4a224088a3b11"],"state_sha256":"0c80ff18faa1849351c198ccae0e9d8a6a659bd79ea2290e31f6323c560ed124"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LmTThhgIFZ0slmXbjUIUwnAp6ZUpERw/keCYs7cBYkw8SgKTRpbRtoCufekdyEwyaXoJsqoNEOCDKtrDZ3OmAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T21:52:53.539011Z","bundle_sha256":"76b5ede79f476d6f9d5945d0540dc18477a771cd3e92ee7e95c3112b388f8d8e"}}