{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:L2UPERWSMRXCRWUXJ64736JLJI","short_pith_number":"pith:L2UPERWS","canonical_record":{"source":{"id":"1812.08977","kind":"arxiv","version":8},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-12-21T07:09:30Z","cross_cats_sorted":[],"title_canon_sha256":"fdc912923c3c737002338c51c90133db8da5181a385c2e22071f7e7091ece74b","abstract_canon_sha256":"c511b786180a77f30fc997fdb56dcc7b0ce5974f60f5ba04d335f9f0ddbfbf92"},"schema_version":"1.0"},"canonical_sha256":"5ea8f246d2646e28da974fb9fdf92b4a26c58f3f2610e839c81464e49acae082","source":{"kind":"arxiv","id":"1812.08977","version":8},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.08977","created_at":"2026-07-05T03:45:07Z"},{"alias_kind":"arxiv_version","alias_value":"1812.08977v8","created_at":"2026-07-05T03:45:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.08977","created_at":"2026-07-05T03:45:07Z"},{"alias_kind":"pith_short_12","alias_value":"L2UPERWSMRXC","created_at":"2026-07-05T03:45:07Z"},{"alias_kind":"pith_short_16","alias_value":"L2UPERWSMRXCRWUX","created_at":"2026-07-05T03:45:07Z"},{"alias_kind":"pith_short_8","alias_value":"L2UPERWS","created_at":"2026-07-05T03:45:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:L2UPERWSMRXCRWUXJ64736JLJI","target":"record","payload":{"canonical_record":{"source":{"id":"1812.08977","kind":"arxiv","version":8},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-12-21T07:09:30Z","cross_cats_sorted":[],"title_canon_sha256":"fdc912923c3c737002338c51c90133db8da5181a385c2e22071f7e7091ece74b","abstract_canon_sha256":"c511b786180a77f30fc997fdb56dcc7b0ce5974f60f5ba04d335f9f0ddbfbf92"},"schema_version":"1.0"},"canonical_sha256":"5ea8f246d2646e28da974fb9fdf92b4a26c58f3f2610e839c81464e49acae082","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:45:07.058099Z","signature_b64":"mlYKIUr8mrucBd1NN8jMrFGRDHOPSNs1EaT8BJuQiTVv/QwvSh5zb3Xp+LOn9203swRBf0Fsx/wxTKlnfBcCBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5ea8f246d2646e28da974fb9fdf92b4a26c58f3f2610e839c81464e49acae082","last_reissued_at":"2026-07-05T03:45:07.057745Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:45:07.057745Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1812.08977","source_version":8,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T03:45:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l8ZlE3TPSmudWbEx8AVKa0dx3NGVDkHJV0XJJUwNn94jVUJGyfjx86j3pgTxxV1euadEDsR0Wyz+cB8bKgVfDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T05:42:17.631233Z"},"content_sha256":"e9198c51dae11ae0fa06e69fc2bb4d8dd11eb670d98d693a9d2c2fa5ffffc9e6","schema_version":"1.0","event_id":"sha256:e9198c51dae11ae0fa06e69fc2bb4d8dd11eb670d98d693a9d2c2fa5ffffc9e6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:L2UPERWSMRXCRWUXJ64736JLJI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"State Variables and Constraints in Thermodynamics of Solids and Their Implications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Koun Shirai","submitted_at":"2018-12-21T07:09:30Z","abstract_excerpt":"There is a common view in thermodynamics that the behavior of a macroscopic system can be described by only a few state variables. Although this is true for many cases, it is unclear whether it is meaningful to ask how many state variables are acceptable. This is indeed a problem when solids are investigated within the framework of thermodynamics, which is scarcely discussed in textbooks. The present study gives an answer to this question: the mean values of all the atom positions of a given solid together with the internal energy constitute a commensurate set of state variables (thermodynamic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.08977","kind":"arxiv","version":8},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1812.08977/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T03:45:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3H6gW7KNlcAbL3vAVtothhGas8Taqm2o4FEPFpqs7HfBLKbNlBDsB6fkO6cdI2IfKdLB/uBi9sXeAg1DtY3iAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T05:42:17.632883Z"},"content_sha256":"7204f2e81b6a34a3acae02506a8fa9fc41e764b77bbb876a982bbc93382293dd","schema_version":"1.0","event_id":"sha256:7204f2e81b6a34a3acae02506a8fa9fc41e764b77bbb876a982bbc93382293dd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L2UPERWSMRXCRWUXJ64736JLJI/bundle.json","state_url":"https://pith.science/pith/L2UPERWSMRXCRWUXJ64736JLJI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L2UPERWSMRXCRWUXJ64736JLJI/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":"2026-08-13T05:42:17Z","links":{"resolver":"https://pith.science/pith/L2UPERWSMRXCRWUXJ64736JLJI","bundle":"https://pith.science/pith/L2UPERWSMRXCRWUXJ64736JLJI/bundle.json","state":"https://pith.science/pith/L2UPERWSMRXCRWUXJ64736JLJI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L2UPERWSMRXCRWUXJ64736JLJI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:L2UPERWSMRXCRWUXJ64736JLJI","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":"c511b786180a77f30fc997fdb56dcc7b0ce5974f60f5ba04d335f9f0ddbfbf92","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-12-21T07:09:30Z","title_canon_sha256":"fdc912923c3c737002338c51c90133db8da5181a385c2e22071f7e7091ece74b"},"schema_version":"1.0","source":{"id":"1812.08977","kind":"arxiv","version":8}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.08977","created_at":"2026-07-05T03:45:07Z"},{"alias_kind":"arxiv_version","alias_value":"1812.08977v8","created_at":"2026-07-05T03:45:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.08977","created_at":"2026-07-05T03:45:07Z"},{"alias_kind":"pith_short_12","alias_value":"L2UPERWSMRXC","created_at":"2026-07-05T03:45:07Z"},{"alias_kind":"pith_short_16","alias_value":"L2UPERWSMRXCRWUX","created_at":"2026-07-05T03:45:07Z"},{"alias_kind":"pith_short_8","alias_value":"L2UPERWS","created_at":"2026-07-05T03:45:07Z"}],"graph_snapshots":[{"event_id":"sha256:7204f2e81b6a34a3acae02506a8fa9fc41e764b77bbb876a982bbc93382293dd","target":"graph","created_at":"2026-07-05T03:45:07Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1812.08977/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"There is a common view in thermodynamics that the behavior of a macroscopic system can be described by only a few state variables. Although this is true for many cases, it is unclear whether it is meaningful to ask how many state variables are acceptable. This is indeed a problem when solids are investigated within the framework of thermodynamics, which is scarcely discussed in textbooks. The present study gives an answer to this question: the mean values of all the atom positions of a given solid together with the internal energy constitute a commensurate set of state variables (thermodynamic","authors_text":"Koun Shirai","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-12-21T07:09:30Z","title":"State Variables and Constraints in Thermodynamics of Solids and Their Implications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.08977","kind":"arxiv","version":8},"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:e9198c51dae11ae0fa06e69fc2bb4d8dd11eb670d98d693a9d2c2fa5ffffc9e6","target":"record","created_at":"2026-07-05T03:45:07Z","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":"c511b786180a77f30fc997fdb56dcc7b0ce5974f60f5ba04d335f9f0ddbfbf92","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-12-21T07:09:30Z","title_canon_sha256":"fdc912923c3c737002338c51c90133db8da5181a385c2e22071f7e7091ece74b"},"schema_version":"1.0","source":{"id":"1812.08977","kind":"arxiv","version":8}},"canonical_sha256":"5ea8f246d2646e28da974fb9fdf92b4a26c58f3f2610e839c81464e49acae082","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5ea8f246d2646e28da974fb9fdf92b4a26c58f3f2610e839c81464e49acae082","first_computed_at":"2026-07-05T03:45:07.057745Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:45:07.057745Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mlYKIUr8mrucBd1NN8jMrFGRDHOPSNs1EaT8BJuQiTVv/QwvSh5zb3Xp+LOn9203swRBf0Fsx/wxTKlnfBcCBw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:45:07.058099Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.08977","source_kind":"arxiv","source_version":8}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e9198c51dae11ae0fa06e69fc2bb4d8dd11eb670d98d693a9d2c2fa5ffffc9e6","sha256:7204f2e81b6a34a3acae02506a8fa9fc41e764b77bbb876a982bbc93382293dd"],"state_sha256":"f93b29a58c4bb3e445905a4d1b6bda04c46562290fd6f3e06debd796e571789a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JliMA7dHbYVqgjkclRJg0PvIK+8vX7FA3Aq/bI4UQj6mxqvj4kwXdsr5V1bK/GZi7/AAzfvDreg+qFzwJUYnBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T05:42:17.644051Z","bundle_sha256":"75486f51f9544239d0351c8f490e801778a2ceef45b89bc9fe286bfaabbf7abd"}}