{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:OLKDPPMGZUS2FVOVRX677WBADJ","short_pith_number":"pith:OLKDPPMG","canonical_record":{"source":{"id":"2203.03066","kind":"arxiv","version":5},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2022-03-06T22:52:02Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"2e5756f5103a9fa6afc53d5d920d62a864660b1265cd97e1d100a3d826014c06","abstract_canon_sha256":"6ebe6bb667e335f7ef6656d28f38576b78d48c3ce7b96464256c6d1c82401c03"},"schema_version":"1.0"},"canonical_sha256":"72d437bd86cd25a2d5d58dfdffd8201a76ace38d9f7c189d0615ebaee987893c","source":{"kind":"arxiv","id":"2203.03066","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2203.03066","created_at":"2026-07-05T05:22:44Z"},{"alias_kind":"arxiv_version","alias_value":"2203.03066v5","created_at":"2026-07-05T05:22:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.03066","created_at":"2026-07-05T05:22:44Z"},{"alias_kind":"pith_short_12","alias_value":"OLKDPPMGZUS2","created_at":"2026-07-05T05:22:44Z"},{"alias_kind":"pith_short_16","alias_value":"OLKDPPMGZUS2FVOV","created_at":"2026-07-05T05:22:44Z"},{"alias_kind":"pith_short_8","alias_value":"OLKDPPMG","created_at":"2026-07-05T05:22:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:OLKDPPMGZUS2FVOVRX677WBADJ","target":"record","payload":{"canonical_record":{"source":{"id":"2203.03066","kind":"arxiv","version":5},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2022-03-06T22:52:02Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"2e5756f5103a9fa6afc53d5d920d62a864660b1265cd97e1d100a3d826014c06","abstract_canon_sha256":"6ebe6bb667e335f7ef6656d28f38576b78d48c3ce7b96464256c6d1c82401c03"},"schema_version":"1.0"},"canonical_sha256":"72d437bd86cd25a2d5d58dfdffd8201a76ace38d9f7c189d0615ebaee987893c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:22:44.183910Z","signature_b64":"YCc8VZr6vqaqoe9EX5L+8H0X/+FF2o9kpQPotrae96xro7mSZAGKf3Fqvdmx6YR/PUAD3ceUid7465XWt4jtDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"72d437bd86cd25a2d5d58dfdffd8201a76ace38d9f7c189d0615ebaee987893c","last_reissued_at":"2026-07-05T05:22:44.183447Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:22:44.183447Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2203.03066","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:22:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NJYFbVM9+jCrbvChbppeE40No9lNjPDdIpgv201buuAHR+bjED+4+mXt3VT5ZluT9/L+yT9io7Su9IuEQeE2CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T18:43:29.110032Z"},"content_sha256":"32613f911264508cdc0d52b71c880df59af0f8bc989ed0f7de0e55f461b96628","schema_version":"1.0","event_id":"sha256:32613f911264508cdc0d52b71c880df59af0f8bc989ed0f7de0e55f461b96628"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:OLKDPPMGZUS2FVOVRX677WBADJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A generalised time-evolution model for contact problems with wear and its analysis","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Dmitry Ponomarev","submitted_at":"2022-03-06T22:52:02Z","abstract_excerpt":"In this paper, we revisit some classical and recent works on modelling slide-contact with wear and propose their generalisation. Namely, we upgrade the relation between the pressure and the wear rate by incorporating some non-local time-dependence. To this effect, we use a combination of fractional calculus and relaxation effects. Moreover, we consider a possibility when the load is not constant in time. The proposed model is analysed and solved. The results are illustrated numerically and comparison with similar models is discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.03066","kind":"arxiv","version":5},"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/2203.03066/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":"2026-07-05T05:22:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oug90aSMAeMRra60ZDktBfXIY79eBPJaOTWwd+GRgDMR6eGJkzp9spOtdXGWvCUScsOmPIWZyUnDLvd15/xMBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T18:43:29.110540Z"},"content_sha256":"e24a8251a12ba8e4589b485c1bb5808cb52b17ff30ccce995a41ff27abc74208","schema_version":"1.0","event_id":"sha256:e24a8251a12ba8e4589b485c1bb5808cb52b17ff30ccce995a41ff27abc74208"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OLKDPPMGZUS2FVOVRX677WBADJ/bundle.json","state_url":"https://pith.science/pith/OLKDPPMGZUS2FVOVRX677WBADJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OLKDPPMGZUS2FVOVRX677WBADJ/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":"2026-08-04T18:43:29Z","links":{"resolver":"https://pith.science/pith/OLKDPPMGZUS2FVOVRX677WBADJ","bundle":"https://pith.science/pith/OLKDPPMGZUS2FVOVRX677WBADJ/bundle.json","state":"https://pith.science/pith/OLKDPPMGZUS2FVOVRX677WBADJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OLKDPPMGZUS2FVOVRX677WBADJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:OLKDPPMGZUS2FVOVRX677WBADJ","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":"6ebe6bb667e335f7ef6656d28f38576b78d48c3ce7b96464256c6d1c82401c03","cross_cats_sorted":["math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2022-03-06T22:52:02Z","title_canon_sha256":"2e5756f5103a9fa6afc53d5d920d62a864660b1265cd97e1d100a3d826014c06"},"schema_version":"1.0","source":{"id":"2203.03066","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2203.03066","created_at":"2026-07-05T05:22:44Z"},{"alias_kind":"arxiv_version","alias_value":"2203.03066v5","created_at":"2026-07-05T05:22:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.03066","created_at":"2026-07-05T05:22:44Z"},{"alias_kind":"pith_short_12","alias_value":"OLKDPPMGZUS2","created_at":"2026-07-05T05:22:44Z"},{"alias_kind":"pith_short_16","alias_value":"OLKDPPMGZUS2FVOV","created_at":"2026-07-05T05:22:44Z"},{"alias_kind":"pith_short_8","alias_value":"OLKDPPMG","created_at":"2026-07-05T05:22:44Z"}],"graph_snapshots":[{"event_id":"sha256:e24a8251a12ba8e4589b485c1bb5808cb52b17ff30ccce995a41ff27abc74208","target":"graph","created_at":"2026-07-05T05:22:44Z","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/2203.03066/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we revisit some classical and recent works on modelling slide-contact with wear and propose their generalisation. Namely, we upgrade the relation between the pressure and the wear rate by incorporating some non-local time-dependence. To this effect, we use a combination of fractional calculus and relaxation effects. Moreover, we consider a possibility when the load is not constant in time. The proposed model is analysed and solved. The results are illustrated numerically and comparison with similar models is discussed.","authors_text":"Dmitry Ponomarev","cross_cats":["math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2022-03-06T22:52:02Z","title":"A generalised time-evolution model for contact problems with wear and its analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.03066","kind":"arxiv","version":5},"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":"sha256:32613f911264508cdc0d52b71c880df59af0f8bc989ed0f7de0e55f461b96628","target":"record","created_at":"2026-07-05T05:22:44Z","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":"6ebe6bb667e335f7ef6656d28f38576b78d48c3ce7b96464256c6d1c82401c03","cross_cats_sorted":["math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2022-03-06T22:52:02Z","title_canon_sha256":"2e5756f5103a9fa6afc53d5d920d62a864660b1265cd97e1d100a3d826014c06"},"schema_version":"1.0","source":{"id":"2203.03066","kind":"arxiv","version":5}},"canonical_sha256":"72d437bd86cd25a2d5d58dfdffd8201a76ace38d9f7c189d0615ebaee987893c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"72d437bd86cd25a2d5d58dfdffd8201a76ace38d9f7c189d0615ebaee987893c","first_computed_at":"2026-07-05T05:22:44.183447Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:22:44.183447Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YCc8VZr6vqaqoe9EX5L+8H0X/+FF2o9kpQPotrae96xro7mSZAGKf3Fqvdmx6YR/PUAD3ceUid7465XWt4jtDA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:22:44.183910Z","signed_message":"canonical_sha256_bytes"},"source_id":"2203.03066","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:32613f911264508cdc0d52b71c880df59af0f8bc989ed0f7de0e55f461b96628","sha256:e24a8251a12ba8e4589b485c1bb5808cb52b17ff30ccce995a41ff27abc74208"],"state_sha256":"e9ed84a870a6bb11293ec67482701512fac3ba1849a8451660d5f176cfa71e05"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IRWfmNvWqDdCtbtA9eCrQ8N6PUlnzsKN3eOl8hZWKWHv6xFIFWRveibV12HvB6Y55x2dhjE4fOx2Yk+8Mhy4Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T18:43:29.138730Z","bundle_sha256":"e528334fb086db4d57984f843078fa356a49af08ebc4d593d6774640cd73bd3e"}}