{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:KZZ35Z5MTQB4FFD7Y2LGLHWGKN","short_pith_number":"pith:KZZ35Z5M","canonical_record":{"source":{"id":"1604.06827","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2016-04-22T22:07:02Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"c73b94f9ea3a3c1b6766a4f17c003af3dac577f1024c38ffe28f50445434d087","abstract_canon_sha256":"11cc978deafe6a522ae674b1133c39a2181f3bdc815325fe8e43c7d1c206beb4"},"schema_version":"1.0"},"canonical_sha256":"5673bee7ac9c03c2947fc696659ec65378de35c0fe78513cf2fa610b1a132e7e","source":{"kind":"arxiv","id":"1604.06827","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.06827","created_at":"2026-05-18T01:00:39Z"},{"alias_kind":"arxiv_version","alias_value":"1604.06827v1","created_at":"2026-05-18T01:00:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.06827","created_at":"2026-05-18T01:00:39Z"},{"alias_kind":"pith_short_12","alias_value":"KZZ35Z5MTQB4","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"KZZ35Z5MTQB4FFD7","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"KZZ35Z5M","created_at":"2026-05-18T12:30:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:KZZ35Z5MTQB4FFD7Y2LGLHWGKN","target":"record","payload":{"canonical_record":{"source":{"id":"1604.06827","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2016-04-22T22:07:02Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"c73b94f9ea3a3c1b6766a4f17c003af3dac577f1024c38ffe28f50445434d087","abstract_canon_sha256":"11cc978deafe6a522ae674b1133c39a2181f3bdc815325fe8e43c7d1c206beb4"},"schema_version":"1.0"},"canonical_sha256":"5673bee7ac9c03c2947fc696659ec65378de35c0fe78513cf2fa610b1a132e7e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:39.294006Z","signature_b64":"rZrlwoY8/3YYW+CwNQ5Np6yV0blb7LBHdACqpgRcA/6X+nMj+B1NZZ2vwWIZYphuYUY1ln2M0L5BaBUMxhC8Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5673bee7ac9c03c2947fc696659ec65378de35c0fe78513cf2fa610b1a132e7e","last_reissued_at":"2026-05-18T01:00:39.293421Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:39.293421Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.06827","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:00:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Yb932CPocxColMG1gco0h/Vzx/sUu6mBCjrL/SznpIAVjfWtR+QQ1W/5+RBJ9BIuLfdNfsuzhfvYzCx6E5hyCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T09:51:24.698335Z"},"content_sha256":"54d5fd4e31f669fc5010cbd9b3b15f8e78eb5fe41ab9c562433d7cd14402d295","schema_version":"1.0","event_id":"sha256:54d5fd4e31f669fc5010cbd9b3b15f8e78eb5fe41ab9c562433d7cd14402d295"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:KZZ35Z5MTQB4FFD7Y2LGLHWGKN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quasi-chemical approximation for polyatomic mixtures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"physics.chem-ph","authors_text":"A. J. Ramirez-Pastor, D. A. Matoz-Fernandez, M. V. D\\'avila, P. M. Pasinetti","submitted_at":"2016-04-22T22:07:02Z","abstract_excerpt":"The statistical thermodynamics of binary mixtures of polyatomic species was developed on a generalization in the spirit of the lattice-gas model and the quasi-chemical approximation (QCA). The new theoretical framework is obtained by combining: (i) the exact analytical expression for the partition function of non-interacting mixtures of linear $k$-mers and $l$-mers (species occupying $k$ sites and $l$ sites, respectively) adsorbed in one dimension, and its extension to higher dimensions; and (ii) a generalization of the classical QCA for multicomponent adsorbates and multisite-occupancy adsorp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.06827","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:00:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Yrehs+E2gJcBb+wABkXfu69J1f67pZrlRNvdh+N+/pdNK0mOgTNIePXQKKYriGTu1ZrTT5E1YOAmyRC+KP0FAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T09:51:24.698705Z"},"content_sha256":"ae6e807c415db39f0d896c0430535cb7e0a5f63d731f485aff4dbf65afd77cde","schema_version":"1.0","event_id":"sha256:ae6e807c415db39f0d896c0430535cb7e0a5f63d731f485aff4dbf65afd77cde"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KZZ35Z5MTQB4FFD7Y2LGLHWGKN/bundle.json","state_url":"https://pith.science/pith/KZZ35Z5MTQB4FFD7Y2LGLHWGKN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KZZ35Z5MTQB4FFD7Y2LGLHWGKN/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":"2026-06-12T09:51:24Z","links":{"resolver":"https://pith.science/pith/KZZ35Z5MTQB4FFD7Y2LGLHWGKN","bundle":"https://pith.science/pith/KZZ35Z5MTQB4FFD7Y2LGLHWGKN/bundle.json","state":"https://pith.science/pith/KZZ35Z5MTQB4FFD7Y2LGLHWGKN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KZZ35Z5MTQB4FFD7Y2LGLHWGKN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:KZZ35Z5MTQB4FFD7Y2LGLHWGKN","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":"11cc978deafe6a522ae674b1133c39a2181f3bdc815325fe8e43c7d1c206beb4","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2016-04-22T22:07:02Z","title_canon_sha256":"c73b94f9ea3a3c1b6766a4f17c003af3dac577f1024c38ffe28f50445434d087"},"schema_version":"1.0","source":{"id":"1604.06827","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.06827","created_at":"2026-05-18T01:00:39Z"},{"alias_kind":"arxiv_version","alias_value":"1604.06827v1","created_at":"2026-05-18T01:00:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.06827","created_at":"2026-05-18T01:00:39Z"},{"alias_kind":"pith_short_12","alias_value":"KZZ35Z5MTQB4","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"KZZ35Z5MTQB4FFD7","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"KZZ35Z5M","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:ae6e807c415db39f0d896c0430535cb7e0a5f63d731f485aff4dbf65afd77cde","target":"graph","created_at":"2026-05-18T01:00:39Z","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 statistical thermodynamics of binary mixtures of polyatomic species was developed on a generalization in the spirit of the lattice-gas model and the quasi-chemical approximation (QCA). The new theoretical framework is obtained by combining: (i) the exact analytical expression for the partition function of non-interacting mixtures of linear $k$-mers and $l$-mers (species occupying $k$ sites and $l$ sites, respectively) adsorbed in one dimension, and its extension to higher dimensions; and (ii) a generalization of the classical QCA for multicomponent adsorbates and multisite-occupancy adsorp","authors_text":"A. J. Ramirez-Pastor, D. A. Matoz-Fernandez, M. V. D\\'avila, P. M. Pasinetti","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2016-04-22T22:07:02Z","title":"Quasi-chemical approximation for polyatomic mixtures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.06827","kind":"arxiv","version":1},"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":"sha256:54d5fd4e31f669fc5010cbd9b3b15f8e78eb5fe41ab9c562433d7cd14402d295","target":"record","created_at":"2026-05-18T01:00:39Z","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":"11cc978deafe6a522ae674b1133c39a2181f3bdc815325fe8e43c7d1c206beb4","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2016-04-22T22:07:02Z","title_canon_sha256":"c73b94f9ea3a3c1b6766a4f17c003af3dac577f1024c38ffe28f50445434d087"},"schema_version":"1.0","source":{"id":"1604.06827","kind":"arxiv","version":1}},"canonical_sha256":"5673bee7ac9c03c2947fc696659ec65378de35c0fe78513cf2fa610b1a132e7e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5673bee7ac9c03c2947fc696659ec65378de35c0fe78513cf2fa610b1a132e7e","first_computed_at":"2026-05-18T01:00:39.293421Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:00:39.293421Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rZrlwoY8/3YYW+CwNQ5Np6yV0blb7LBHdACqpgRcA/6X+nMj+B1NZZ2vwWIZYphuYUY1ln2M0L5BaBUMxhC8Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:00:39.294006Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.06827","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:54d5fd4e31f669fc5010cbd9b3b15f8e78eb5fe41ab9c562433d7cd14402d295","sha256:ae6e807c415db39f0d896c0430535cb7e0a5f63d731f485aff4dbf65afd77cde"],"state_sha256":"328633e6871c072a2733c167b5d9fafe73375ea3bbb701b935fc4bf25c76ac07"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T6uwrNmsQ+Mtd4PodU0dJCdkwuLYsUcIyTpv+euUM4pFZDM6fw2u7K3R+/xCn+sSuy+83V+IcmjFLjba6n4dCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T09:51:24.700949Z","bundle_sha256":"edf94051d08218f06a6fcba487efed0b8354bdc461edc218c7302cd45501a0f5"}}