{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:WW5JJWTCCHUUETSZNI2ZLRYCJY","short_pith_number":"pith:WW5JJWTC","canonical_record":{"source":{"id":"1411.0094","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-11-01T10:09:01Z","cross_cats_sorted":[],"title_canon_sha256":"35cd11592bbb29f1dc70908c30a6a815cf2386ade5bd62fc82cf27ca0cf213a0","abstract_canon_sha256":"a203a81e5a4566486b2cb6cef48a424a4d1c64875dbf27e2b3489f11b3d87f47"},"schema_version":"1.0"},"canonical_sha256":"b5ba94da6211e9424e596a3595c7024e05591cc486eb3a2c972627535df490c4","source":{"kind":"arxiv","id":"1411.0094","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.0094","created_at":"2026-05-18T02:32:30Z"},{"alias_kind":"arxiv_version","alias_value":"1411.0094v2","created_at":"2026-05-18T02:32:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.0094","created_at":"2026-05-18T02:32:30Z"},{"alias_kind":"pith_short_12","alias_value":"WW5JJWTCCHUU","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"WW5JJWTCCHUUETSZ","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"WW5JJWTC","created_at":"2026-05-18T12:28:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:WW5JJWTCCHUUETSZNI2ZLRYCJY","target":"record","payload":{"canonical_record":{"source":{"id":"1411.0094","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-11-01T10:09:01Z","cross_cats_sorted":[],"title_canon_sha256":"35cd11592bbb29f1dc70908c30a6a815cf2386ade5bd62fc82cf27ca0cf213a0","abstract_canon_sha256":"a203a81e5a4566486b2cb6cef48a424a4d1c64875dbf27e2b3489f11b3d87f47"},"schema_version":"1.0"},"canonical_sha256":"b5ba94da6211e9424e596a3595c7024e05591cc486eb3a2c972627535df490c4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:30.464781Z","signature_b64":"3TUgwNoVM5YRUSkmlnMeJ0FJWPtxpZSSCLXUW2/DY7VoXTYuJ0TEV5FmW7fP4wPFJ9whajsgVtwtC5o6BN5UCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b5ba94da6211e9424e596a3595c7024e05591cc486eb3a2c972627535df490c4","last_reissued_at":"2026-05-18T02:32:30.464447Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:30.464447Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.0094","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":"2026-05-18T02:32:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IdqAFxEREujasQRZKuFV+G1F56hjpEcExkI0hdcmt30UZtOEd7aXrhIUaPhy4/UR5hv6tveGFICnPXsTuzZyCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T09:42:05.320959Z"},"content_sha256":"481071fd9bec5d094987f19fd6610c1f52bd620fcc829d99a657ef88c5cf07a2","schema_version":"1.0","event_id":"sha256:481071fd9bec5d094987f19fd6610c1f52bd620fcc829d99a657ef88c5cf07a2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:WW5JJWTCCHUUETSZNI2ZLRYCJY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Equilibrated tractions for the Hybrid High-Order method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Alexandre Ern, Daniele A. Di Pietro","submitted_at":"2014-11-01T10:09:01Z","abstract_excerpt":"We show how to recover equilibrated face tractions for the hybrid high-order method for linear elasticity recently introduced in [D. A. Di Pietro and A. Ern, A hybrid high-order locking-free method for linear elasticity on general meshes, Comput. Meth. Appl. Mech. Engrg., 2015, 283:1-21], and prove that these tractions are optimally convergent."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.0094","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":""},"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":"2026-05-18T02:32:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q4GINM3cGfR/wbWYLPXNYffwgS/2nxZgDp6JJRci2Xo1muFv+opQh42IVmzgLGXzbkStfe/9OBSF+V4rQWcHBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T09:42:05.321324Z"},"content_sha256":"a7976b2490744966003a3021adae5fb153a898f5894455955cc2f78a7b4eff2f","schema_version":"1.0","event_id":"sha256:a7976b2490744966003a3021adae5fb153a898f5894455955cc2f78a7b4eff2f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WW5JJWTCCHUUETSZNI2ZLRYCJY/bundle.json","state_url":"https://pith.science/pith/WW5JJWTCCHUUETSZNI2ZLRYCJY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WW5JJWTCCHUUETSZNI2ZLRYCJY/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":"2026-05-31T09:42:05Z","links":{"resolver":"https://pith.science/pith/WW5JJWTCCHUUETSZNI2ZLRYCJY","bundle":"https://pith.science/pith/WW5JJWTCCHUUETSZNI2ZLRYCJY/bundle.json","state":"https://pith.science/pith/WW5JJWTCCHUUETSZNI2ZLRYCJY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WW5JJWTCCHUUETSZNI2ZLRYCJY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:WW5JJWTCCHUUETSZNI2ZLRYCJY","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":"a203a81e5a4566486b2cb6cef48a424a4d1c64875dbf27e2b3489f11b3d87f47","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-11-01T10:09:01Z","title_canon_sha256":"35cd11592bbb29f1dc70908c30a6a815cf2386ade5bd62fc82cf27ca0cf213a0"},"schema_version":"1.0","source":{"id":"1411.0094","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.0094","created_at":"2026-05-18T02:32:30Z"},{"alias_kind":"arxiv_version","alias_value":"1411.0094v2","created_at":"2026-05-18T02:32:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.0094","created_at":"2026-05-18T02:32:30Z"},{"alias_kind":"pith_short_12","alias_value":"WW5JJWTCCHUU","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"WW5JJWTCCHUUETSZ","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"WW5JJWTC","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:a7976b2490744966003a3021adae5fb153a898f5894455955cc2f78a7b4eff2f","target":"graph","created_at":"2026-05-18T02:32:30Z","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":"We show how to recover equilibrated face tractions for the hybrid high-order method for linear elasticity recently introduced in [D. A. Di Pietro and A. Ern, A hybrid high-order locking-free method for linear elasticity on general meshes, Comput. Meth. Appl. Mech. Engrg., 2015, 283:1-21], and prove that these tractions are optimally convergent.","authors_text":"Alexandre Ern, Daniele A. Di Pietro","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-11-01T10:09:01Z","title":"Equilibrated tractions for the Hybrid High-Order method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.0094","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":"sha256:481071fd9bec5d094987f19fd6610c1f52bd620fcc829d99a657ef88c5cf07a2","target":"record","created_at":"2026-05-18T02:32:30Z","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":"a203a81e5a4566486b2cb6cef48a424a4d1c64875dbf27e2b3489f11b3d87f47","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-11-01T10:09:01Z","title_canon_sha256":"35cd11592bbb29f1dc70908c30a6a815cf2386ade5bd62fc82cf27ca0cf213a0"},"schema_version":"1.0","source":{"id":"1411.0094","kind":"arxiv","version":2}},"canonical_sha256":"b5ba94da6211e9424e596a3595c7024e05591cc486eb3a2c972627535df490c4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b5ba94da6211e9424e596a3595c7024e05591cc486eb3a2c972627535df490c4","first_computed_at":"2026-05-18T02:32:30.464447Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:30.464447Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3TUgwNoVM5YRUSkmlnMeJ0FJWPtxpZSSCLXUW2/DY7VoXTYuJ0TEV5FmW7fP4wPFJ9whajsgVtwtC5o6BN5UCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:30.464781Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.0094","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:481071fd9bec5d094987f19fd6610c1f52bd620fcc829d99a657ef88c5cf07a2","sha256:a7976b2490744966003a3021adae5fb153a898f5894455955cc2f78a7b4eff2f"],"state_sha256":"ceaaacb536afe3c1cf85e51057e2761b3352e8849b75f4c1449e18a7336ec33b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lxsRE6u9beFjAycWJwCSnPCVIbelCCApdOtXl/J6M+dHPwcuwsqC9/lkSkCKMjys+9iSogDxJ8bFwNqIBGs6Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T09:42:05.323416Z","bundle_sha256":"cc437cffa111f2f02f767d41da2f3190a95bd0eb75b2fffc4a157c7faad11fcf"}}