{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:MK7QEKDU7QHQ3ZQAMTJEBBVY55","short_pith_number":"pith:MK7QEKDU","canonical_record":{"source":{"id":"2205.09374","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2022-05-19T08:13:37Z","cross_cats_sorted":[],"title_canon_sha256":"59338731395c8f3c2a0d858e52417b75986ff9cafc7e44f5ee0f956ff3016bc9","abstract_canon_sha256":"e227685500f83f0146d1a61436982b31277b850ac163b8dea930064699a68c66"},"schema_version":"1.0"},"canonical_sha256":"62bf022874fc0f0de60064d24086b8ef7fd7553911bfa9d68d42d1242e826026","source":{"kind":"arxiv","id":"2205.09374","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2205.09374","created_at":"2026-07-05T07:08:52Z"},{"alias_kind":"arxiv_version","alias_value":"2205.09374v1","created_at":"2026-07-05T07:08:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.09374","created_at":"2026-07-05T07:08:52Z"},{"alias_kind":"pith_short_12","alias_value":"MK7QEKDU7QHQ","created_at":"2026-07-05T07:08:52Z"},{"alias_kind":"pith_short_16","alias_value":"MK7QEKDU7QHQ3ZQA","created_at":"2026-07-05T07:08:52Z"},{"alias_kind":"pith_short_8","alias_value":"MK7QEKDU","created_at":"2026-07-05T07:08:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:MK7QEKDU7QHQ3ZQAMTJEBBVY55","target":"record","payload":{"canonical_record":{"source":{"id":"2205.09374","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2022-05-19T08:13:37Z","cross_cats_sorted":[],"title_canon_sha256":"59338731395c8f3c2a0d858e52417b75986ff9cafc7e44f5ee0f956ff3016bc9","abstract_canon_sha256":"e227685500f83f0146d1a61436982b31277b850ac163b8dea930064699a68c66"},"schema_version":"1.0"},"canonical_sha256":"62bf022874fc0f0de60064d24086b8ef7fd7553911bfa9d68d42d1242e826026","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:08:52.005866Z","signature_b64":"f+Qzc/ZOybsQNts9dPqp7T2iEVCL+HadRKH7nj5xGmfziqorlcczJr1OCf7vTJoamBFrLrer1xcGJ/s/L7AnAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"62bf022874fc0f0de60064d24086b8ef7fd7553911bfa9d68d42d1242e826026","last_reissued_at":"2026-07-05T07:08:52.005335Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:08:52.005335Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2205.09374","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":"2026-07-05T07:08:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g+z+/LnLsVP9L3FYtkoZOM8MlyGnIqYpEH08JzqwxquJ3U2RkXir0LcQuYABAVB9Xu8haiuRDl+vkIpTiBAdAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T17:58:48.131607Z"},"content_sha256":"51482d55aebcf5c3420533d165ae21ba963a2758139f7d4585690b2172f947da","schema_version":"1.0","event_id":"sha256:51482d55aebcf5c3420533d165ae21ba963a2758139f7d4585690b2172f947da"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:MK7QEKDU7QHQ3ZQAMTJEBBVY55","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stress Tensor of Single Rigid Dumbbell by Virtual Work Method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Takashi Uneyama, Takato Ishida, Tatsuma Oishi, Yuichi Masubuchi, Yuya Doi","submitted_at":"2022-05-19T08:13:37Z","abstract_excerpt":"We derive the stress tensor of a rigid dumbbell by using the virtual work method. In the virtual work method, we virtually apply a small deformation to the system, and relate the change of the energy to the work done by the stress tensor. A rigid dumbbell consists of two particles connected by a rigid bond of which length is constant (the rigid constraint). The energy of the rigid dumbbell consists only on the kinetic energy. Also, only the deformations which do not violate the rigid constraint are allowed. Thus we need the dynamic equations which is consistent with the rigid constraint to app"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.09374","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/2205.09374/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":"2026-07-05T07:08:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s2416UP5hhWraaR3NM01y6FZ58uT7D+C/jAga+bhxDMgxg1KXuxUOaokUT71uJ3LptE5o9iHGFjQB8XUGxDyBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T17:58:48.132110Z"},"content_sha256":"8ecbcd4ecb48b9991fc4a121b69775206ab351359c54e8e147f773b475da504b","schema_version":"1.0","event_id":"sha256:8ecbcd4ecb48b9991fc4a121b69775206ab351359c54e8e147f773b475da504b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MK7QEKDU7QHQ3ZQAMTJEBBVY55/bundle.json","state_url":"https://pith.science/pith/MK7QEKDU7QHQ3ZQAMTJEBBVY55/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MK7QEKDU7QHQ3ZQAMTJEBBVY55/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":"2026-08-22T17:58:48Z","links":{"resolver":"https://pith.science/pith/MK7QEKDU7QHQ3ZQAMTJEBBVY55","bundle":"https://pith.science/pith/MK7QEKDU7QHQ3ZQAMTJEBBVY55/bundle.json","state":"https://pith.science/pith/MK7QEKDU7QHQ3ZQAMTJEBBVY55/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MK7QEKDU7QHQ3ZQAMTJEBBVY55/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:MK7QEKDU7QHQ3ZQAMTJEBBVY55","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":"e227685500f83f0146d1a61436982b31277b850ac163b8dea930064699a68c66","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2022-05-19T08:13:37Z","title_canon_sha256":"59338731395c8f3c2a0d858e52417b75986ff9cafc7e44f5ee0f956ff3016bc9"},"schema_version":"1.0","source":{"id":"2205.09374","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2205.09374","created_at":"2026-07-05T07:08:52Z"},{"alias_kind":"arxiv_version","alias_value":"2205.09374v1","created_at":"2026-07-05T07:08:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.09374","created_at":"2026-07-05T07:08:52Z"},{"alias_kind":"pith_short_12","alias_value":"MK7QEKDU7QHQ","created_at":"2026-07-05T07:08:52Z"},{"alias_kind":"pith_short_16","alias_value":"MK7QEKDU7QHQ3ZQA","created_at":"2026-07-05T07:08:52Z"},{"alias_kind":"pith_short_8","alias_value":"MK7QEKDU","created_at":"2026-07-05T07:08:52Z"}],"graph_snapshots":[{"event_id":"sha256:8ecbcd4ecb48b9991fc4a121b69775206ab351359c54e8e147f773b475da504b","target":"graph","created_at":"2026-07-05T07:08:52Z","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/2205.09374/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We derive the stress tensor of a rigid dumbbell by using the virtual work method. In the virtual work method, we virtually apply a small deformation to the system, and relate the change of the energy to the work done by the stress tensor. A rigid dumbbell consists of two particles connected by a rigid bond of which length is constant (the rigid constraint). The energy of the rigid dumbbell consists only on the kinetic energy. Also, only the deformations which do not violate the rigid constraint are allowed. Thus we need the dynamic equations which is consistent with the rigid constraint to app","authors_text":"Takashi Uneyama, Takato Ishida, Tatsuma Oishi, Yuichi Masubuchi, Yuya Doi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2022-05-19T08:13:37Z","title":"Stress Tensor of Single Rigid Dumbbell by Virtual Work Method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.09374","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":"sha256:51482d55aebcf5c3420533d165ae21ba963a2758139f7d4585690b2172f947da","target":"record","created_at":"2026-07-05T07:08:52Z","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":"e227685500f83f0146d1a61436982b31277b850ac163b8dea930064699a68c66","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2022-05-19T08:13:37Z","title_canon_sha256":"59338731395c8f3c2a0d858e52417b75986ff9cafc7e44f5ee0f956ff3016bc9"},"schema_version":"1.0","source":{"id":"2205.09374","kind":"arxiv","version":1}},"canonical_sha256":"62bf022874fc0f0de60064d24086b8ef7fd7553911bfa9d68d42d1242e826026","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"62bf022874fc0f0de60064d24086b8ef7fd7553911bfa9d68d42d1242e826026","first_computed_at":"2026-07-05T07:08:52.005335Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:08:52.005335Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f+Qzc/ZOybsQNts9dPqp7T2iEVCL+HadRKH7nj5xGmfziqorlcczJr1OCf7vTJoamBFrLrer1xcGJ/s/L7AnAA==","signature_status":"signed_v1","signed_at":"2026-07-05T07:08:52.005866Z","signed_message":"canonical_sha256_bytes"},"source_id":"2205.09374","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51482d55aebcf5c3420533d165ae21ba963a2758139f7d4585690b2172f947da","sha256:8ecbcd4ecb48b9991fc4a121b69775206ab351359c54e8e147f773b475da504b"],"state_sha256":"8f78caef8649d6ff1b9d13eaf1a76b654663525bbdf81914ff70319f2051ceae"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6P/zBkV7dBnE+LiFjyQ/pAjSzyrh1Cp4Zxyk60p8BQArAFLV726HWvmRvVc9e6rNOf29yNQ8QJcluvTQby/5CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T17:58:48.136746Z","bundle_sha256":"7e499d4956362a3714e1fa991e92e7f77ad43430e8de4f98d9e08dc04960ac9b"}}