{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:YR2GN7AD7IRZU4WUPLVQELGNOD","short_pith_number":"pith:YR2GN7AD","canonical_record":{"source":{"id":"2107.05814","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.NA","submitted_at":"2021-07-13T02:25:33Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"fd3a04f2b28b5bf85ec20a658840794a23c1655ca99a087beff2d1c4357c2c0e","abstract_canon_sha256":"21979d657dcfeafe00ed05fb5f213ed10f352c02c762bcb69b0fd09c253f328d"},"schema_version":"1.0"},"canonical_sha256":"c47466fc03fa239a72d47aeb022ccd70fd38398ab3cd8b1d81b59f0397e1b64c","source":{"kind":"arxiv","id":"2107.05814","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2107.05814","created_at":"2026-07-05T04:32:11Z"},{"alias_kind":"arxiv_version","alias_value":"2107.05814v2","created_at":"2026-07-05T04:32:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2107.05814","created_at":"2026-07-05T04:32:11Z"},{"alias_kind":"pith_short_12","alias_value":"YR2GN7AD7IRZ","created_at":"2026-07-05T04:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"YR2GN7AD7IRZU4WU","created_at":"2026-07-05T04:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"YR2GN7AD","created_at":"2026-07-05T04:32:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:YR2GN7AD7IRZU4WUPLVQELGNOD","target":"record","payload":{"canonical_record":{"source":{"id":"2107.05814","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.NA","submitted_at":"2021-07-13T02:25:33Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"fd3a04f2b28b5bf85ec20a658840794a23c1655ca99a087beff2d1c4357c2c0e","abstract_canon_sha256":"21979d657dcfeafe00ed05fb5f213ed10f352c02c762bcb69b0fd09c253f328d"},"schema_version":"1.0"},"canonical_sha256":"c47466fc03fa239a72d47aeb022ccd70fd38398ab3cd8b1d81b59f0397e1b64c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:32:11.227857Z","signature_b64":"4WojJA2aRVQPj0kBtCDReB9YnmbaziTjVF55UQTTo2cv9AvEtpM1eqn2LkiMNuh3Sx8y1SgrUSTo5n7zQcURBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c47466fc03fa239a72d47aeb022ccd70fd38398ab3cd8b1d81b59f0397e1b64c","last_reissued_at":"2026-07-05T04:32:11.227378Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:32:11.227378Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2107.05814","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":"2026-07-05T04:32:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pnC4AkB+X1nFbO2wIBYLRPBvpizuUPS3MVSivjzy3yD2chchtCI2XcACtEIUrrrv8p+M4NtNRxfz1mkXNDoCCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T22:14:17.572091Z"},"content_sha256":"9a14b2cf83386e6691c6d2017c681e1b17ad25dd597863260015b7f16c1fb531","schema_version":"1.0","event_id":"sha256:9a14b2cf83386e6691c6d2017c681e1b17ad25dd597863260015b7f16c1fb531"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:YR2GN7AD7IRZU4WUPLVQELGNOD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A barrier method for frictional contact on embedded interfaces","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Chenfanfu Jiang, Jinhyun Choo, Kenichi Soga, Minchen Li, Yidong Zhao, Yupeng Jiang","submitted_at":"2021-07-13T02:25:33Z","abstract_excerpt":"We present a barrier method for treating frictional contact on interfaces embedded in finite elements. The barrier treatment has several attractive features, including: (i) it does not introduce any additional degrees of freedom or iterative steps, (ii) it is free of inter-penetration, (iii) it avoids an ill-conditioned matrix system, and (iv) it allows one to control the solution accuracy directly. We derive the contact pressure from a smooth barrier energy function that is designed to satisfy the non-penetration constraint. Likewise, we make use of a smoothed friction law in which the stick-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.05814","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2107.05814/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":"2026-07-05T04:32:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uwpI4r+vp7lyxJDrGjIckk5jo2prCXZgTBmiZPyk3CPo4YP80AMe6+p70D3y4v1rEXinQ8OrFylpm7VSvvYdCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T22:14:17.572589Z"},"content_sha256":"f46551e088f06379cc2a96cf97472e9e8b12de9e6dddbf249c44f6286ae45565","schema_version":"1.0","event_id":"sha256:f46551e088f06379cc2a96cf97472e9e8b12de9e6dddbf249c44f6286ae45565"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YR2GN7AD7IRZU4WUPLVQELGNOD/bundle.json","state_url":"https://pith.science/pith/YR2GN7AD7IRZU4WUPLVQELGNOD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YR2GN7AD7IRZU4WUPLVQELGNOD/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":"2026-08-03T22:14:17Z","links":{"resolver":"https://pith.science/pith/YR2GN7AD7IRZU4WUPLVQELGNOD","bundle":"https://pith.science/pith/YR2GN7AD7IRZU4WUPLVQELGNOD/bundle.json","state":"https://pith.science/pith/YR2GN7AD7IRZU4WUPLVQELGNOD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YR2GN7AD7IRZU4WUPLVQELGNOD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:YR2GN7AD7IRZU4WUPLVQELGNOD","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":"21979d657dcfeafe00ed05fb5f213ed10f352c02c762bcb69b0fd09c253f328d","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.NA","submitted_at":"2021-07-13T02:25:33Z","title_canon_sha256":"fd3a04f2b28b5bf85ec20a658840794a23c1655ca99a087beff2d1c4357c2c0e"},"schema_version":"1.0","source":{"id":"2107.05814","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2107.05814","created_at":"2026-07-05T04:32:11Z"},{"alias_kind":"arxiv_version","alias_value":"2107.05814v2","created_at":"2026-07-05T04:32:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2107.05814","created_at":"2026-07-05T04:32:11Z"},{"alias_kind":"pith_short_12","alias_value":"YR2GN7AD7IRZ","created_at":"2026-07-05T04:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"YR2GN7AD7IRZU4WU","created_at":"2026-07-05T04:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"YR2GN7AD","created_at":"2026-07-05T04:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:f46551e088f06379cc2a96cf97472e9e8b12de9e6dddbf249c44f6286ae45565","target":"graph","created_at":"2026-07-05T04:32:11Z","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/2107.05814/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a barrier method for treating frictional contact on interfaces embedded in finite elements. The barrier treatment has several attractive features, including: (i) it does not introduce any additional degrees of freedom or iterative steps, (ii) it is free of inter-penetration, (iii) it avoids an ill-conditioned matrix system, and (iv) it allows one to control the solution accuracy directly. We derive the contact pressure from a smooth barrier energy function that is designed to satisfy the non-penetration constraint. Likewise, we make use of a smoothed friction law in which the stick-","authors_text":"Chenfanfu Jiang, Jinhyun Choo, Kenichi Soga, Minchen Li, Yidong Zhao, Yupeng Jiang","cross_cats":["cs.NA"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.NA","submitted_at":"2021-07-13T02:25:33Z","title":"A barrier method for frictional contact on embedded interfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.05814","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":"sha256:9a14b2cf83386e6691c6d2017c681e1b17ad25dd597863260015b7f16c1fb531","target":"record","created_at":"2026-07-05T04:32:11Z","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":"21979d657dcfeafe00ed05fb5f213ed10f352c02c762bcb69b0fd09c253f328d","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.NA","submitted_at":"2021-07-13T02:25:33Z","title_canon_sha256":"fd3a04f2b28b5bf85ec20a658840794a23c1655ca99a087beff2d1c4357c2c0e"},"schema_version":"1.0","source":{"id":"2107.05814","kind":"arxiv","version":2}},"canonical_sha256":"c47466fc03fa239a72d47aeb022ccd70fd38398ab3cd8b1d81b59f0397e1b64c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c47466fc03fa239a72d47aeb022ccd70fd38398ab3cd8b1d81b59f0397e1b64c","first_computed_at":"2026-07-05T04:32:11.227378Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:32:11.227378Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4WojJA2aRVQPj0kBtCDReB9YnmbaziTjVF55UQTTo2cv9AvEtpM1eqn2LkiMNuh3Sx8y1SgrUSTo5n7zQcURBw==","signature_status":"signed_v1","signed_at":"2026-07-05T04:32:11.227857Z","signed_message":"canonical_sha256_bytes"},"source_id":"2107.05814","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9a14b2cf83386e6691c6d2017c681e1b17ad25dd597863260015b7f16c1fb531","sha256:f46551e088f06379cc2a96cf97472e9e8b12de9e6dddbf249c44f6286ae45565"],"state_sha256":"ce4b45d8fc98a170ae2823d7b397155c71acc15751776e2dcf996a55b99df388"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FgwlFJMx1mse1r2oaCvdVApif0xUZOc8BJrarMk2oEcCC/a5F5BqqDjlGMZF2VVZp2qNTJysWo8JITAdqKdPBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T22:14:17.576583Z","bundle_sha256":"b835306bba1d9e904aa1ac5449e67db11d16cdaf5edc9e6e2bee81065b237244"}}