{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:TP2FIEKUROCIT5D3IT4TSSGYUW","short_pith_number":"pith:TP2FIEKU","canonical_record":{"source":{"id":"2012.08258","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2020-12-15T12:48:18Z","cross_cats_sorted":["physics.class-ph"],"title_canon_sha256":"8f39794bf091a129d152e730fdf9e35ecde777a2d012d99c1e09929b1ab2906e","abstract_canon_sha256":"61ed587cac9be1ceba1675077be787af416d91cf5ba0c62d013e40249cf76e78"},"schema_version":"1.0"},"canonical_sha256":"9bf45411548b8489f47b44f93948d8a5b218b5c6c0484939daef1b5c292a1595","source":{"kind":"arxiv","id":"2012.08258","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2012.08258","created_at":"2026-07-05T01:59:41Z"},{"alias_kind":"arxiv_version","alias_value":"2012.08258v1","created_at":"2026-07-05T01:59:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.08258","created_at":"2026-07-05T01:59:41Z"},{"alias_kind":"pith_short_12","alias_value":"TP2FIEKUROCI","created_at":"2026-07-05T01:59:41Z"},{"alias_kind":"pith_short_16","alias_value":"TP2FIEKUROCIT5D3","created_at":"2026-07-05T01:59:41Z"},{"alias_kind":"pith_short_8","alias_value":"TP2FIEKU","created_at":"2026-07-05T01:59:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:TP2FIEKUROCIT5D3IT4TSSGYUW","target":"record","payload":{"canonical_record":{"source":{"id":"2012.08258","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2020-12-15T12:48:18Z","cross_cats_sorted":["physics.class-ph"],"title_canon_sha256":"8f39794bf091a129d152e730fdf9e35ecde777a2d012d99c1e09929b1ab2906e","abstract_canon_sha256":"61ed587cac9be1ceba1675077be787af416d91cf5ba0c62d013e40249cf76e78"},"schema_version":"1.0"},"canonical_sha256":"9bf45411548b8489f47b44f93948d8a5b218b5c6c0484939daef1b5c292a1595","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:59:41.783619Z","signature_b64":"qOV69mb8UAsXzUFwxZVUflT/sH1Rva7PsN43QlUEd/iBATITBiRtRnND/i79Fno/9K2CKu/RTxy4MRX5fizkDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9bf45411548b8489f47b44f93948d8a5b218b5c6c0484939daef1b5c292a1595","last_reissued_at":"2026-07-05T01:59:41.783279Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:59:41.783279Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2012.08258","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":"2026-07-05T01:59:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VYJL31zjVjUQF/M+m3GjweyVO907oJuyBuSDw6t57Eo3k85sj/nKL8Itbgkt8Hz08Qals7fQuky9o23gICAXAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-11T14:14:21.257524Z"},"content_sha256":"2df916943090dc1c670f5ae7b653715ac69815599cf2ca6f18268ccd66907eeb","schema_version":"1.0","event_id":"sha256:2df916943090dc1c670f5ae7b653715ac69815599cf2ca6f18268ccd66907eeb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:TP2FIEKUROCIT5D3IT4TSSGYUW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Breakdown of equipartition of energy for vibrational heat capacity of diatomic molecular gas due to nonvanishing bond length","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.class-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"J. R. Yang, Q. H. Liu, S. Y. Wang, X. Wang, X. Y. Wu","submitted_at":"2020-12-15T12:48:18Z","abstract_excerpt":"When the theorem of equipartition of energy applies to the vibrational degree of freedom within diatomic molecular gas, the bond length is usually taken as zero so that the theorem is valid. Once the bond length is taken into consideration, calculations show that the mean energy of the vibrational heat capacity will significantly deviate from the standard value near the high temperature which breaks down the bond."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.08258","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2012.08258/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":"2026-07-05T01:59:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3w//Gf3qu8v6u6/gGWSIX+dMi/+gG4C2ax6vKmQ3en5Wq7Fzx2TlNK3AQdgBEqAW0EFsS9FchNwup6K+iXjhDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-11T14:14:21.257906Z"},"content_sha256":"5ad47225df684a044e7f60d2e42e6d87ec55a02bf42437d872768505cd4ae378","schema_version":"1.0","event_id":"sha256:5ad47225df684a044e7f60d2e42e6d87ec55a02bf42437d872768505cd4ae378"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TP2FIEKUROCIT5D3IT4TSSGYUW/bundle.json","state_url":"https://pith.science/pith/TP2FIEKUROCIT5D3IT4TSSGYUW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TP2FIEKUROCIT5D3IT4TSSGYUW/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":"2026-07-11T14:14:21Z","links":{"resolver":"https://pith.science/pith/TP2FIEKUROCIT5D3IT4TSSGYUW","bundle":"https://pith.science/pith/TP2FIEKUROCIT5D3IT4TSSGYUW/bundle.json","state":"https://pith.science/pith/TP2FIEKUROCIT5D3IT4TSSGYUW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TP2FIEKUROCIT5D3IT4TSSGYUW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:TP2FIEKUROCIT5D3IT4TSSGYUW","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":"61ed587cac9be1ceba1675077be787af416d91cf5ba0c62d013e40249cf76e78","cross_cats_sorted":["physics.class-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2020-12-15T12:48:18Z","title_canon_sha256":"8f39794bf091a129d152e730fdf9e35ecde777a2d012d99c1e09929b1ab2906e"},"schema_version":"1.0","source":{"id":"2012.08258","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2012.08258","created_at":"2026-07-05T01:59:41Z"},{"alias_kind":"arxiv_version","alias_value":"2012.08258v1","created_at":"2026-07-05T01:59:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.08258","created_at":"2026-07-05T01:59:41Z"},{"alias_kind":"pith_short_12","alias_value":"TP2FIEKUROCI","created_at":"2026-07-05T01:59:41Z"},{"alias_kind":"pith_short_16","alias_value":"TP2FIEKUROCIT5D3","created_at":"2026-07-05T01:59:41Z"},{"alias_kind":"pith_short_8","alias_value":"TP2FIEKU","created_at":"2026-07-05T01:59:41Z"}],"graph_snapshots":[{"event_id":"sha256:5ad47225df684a044e7f60d2e42e6d87ec55a02bf42437d872768505cd4ae378","target":"graph","created_at":"2026-07-05T01:59:41Z","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/2012.08258/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"When the theorem of equipartition of energy applies to the vibrational degree of freedom within diatomic molecular gas, the bond length is usually taken as zero so that the theorem is valid. Once the bond length is taken into consideration, calculations show that the mean energy of the vibrational heat capacity will significantly deviate from the standard value near the high temperature which breaks down the bond.","authors_text":"J. R. Yang, Q. H. Liu, S. Y. Wang, X. Wang, X. Y. Wu","cross_cats":["physics.class-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2020-12-15T12:48:18Z","title":"Breakdown of equipartition of energy for vibrational heat capacity of diatomic molecular gas due to nonvanishing bond length"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.08258","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":"sha256:2df916943090dc1c670f5ae7b653715ac69815599cf2ca6f18268ccd66907eeb","target":"record","created_at":"2026-07-05T01:59:41Z","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":"61ed587cac9be1ceba1675077be787af416d91cf5ba0c62d013e40249cf76e78","cross_cats_sorted":["physics.class-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2020-12-15T12:48:18Z","title_canon_sha256":"8f39794bf091a129d152e730fdf9e35ecde777a2d012d99c1e09929b1ab2906e"},"schema_version":"1.0","source":{"id":"2012.08258","kind":"arxiv","version":1}},"canonical_sha256":"9bf45411548b8489f47b44f93948d8a5b218b5c6c0484939daef1b5c292a1595","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9bf45411548b8489f47b44f93948d8a5b218b5c6c0484939daef1b5c292a1595","first_computed_at":"2026-07-05T01:59:41.783279Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:59:41.783279Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qOV69mb8UAsXzUFwxZVUflT/sH1Rva7PsN43QlUEd/iBATITBiRtRnND/i79Fno/9K2CKu/RTxy4MRX5fizkDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:59:41.783619Z","signed_message":"canonical_sha256_bytes"},"source_id":"2012.08258","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2df916943090dc1c670f5ae7b653715ac69815599cf2ca6f18268ccd66907eeb","sha256:5ad47225df684a044e7f60d2e42e6d87ec55a02bf42437d872768505cd4ae378"],"state_sha256":"0bd0b480c9087fb4edf5294e9d4c72dfdd784631b626be1106355c1ef7f3aff1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I2cgaNp4Hd1X1orjz25F8BTjlUSIvtSqTr2fJSUBj4VvG2Sl6TlXgAiXoiueeT33hBaHabeOIQaGZnbR8b2NCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-11T14:14:21.260019Z","bundle_sha256":"ac6c6a13373ffa8e45d909054b1637875dbdd6294a7288bf6d6228cdffd066cb"}}