{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:CR22QA5ZEIQSGJLWJXERNONL4N","short_pith_number":"pith:CR22QA5Z","canonical_record":{"source":{"id":"1010.1766","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-10-08T19:17:12Z","cross_cats_sorted":["cond-mat.other"],"title_canon_sha256":"1db058813074fcc2f41a8c3b591ba75270adfb9f3f72f4c14599bad7d75c7322","abstract_canon_sha256":"8fdd229348037bd7ef3cf2cdc21a11719633a58ca0f4c88b1f27a66e2e07d7ca"},"schema_version":"1.0"},"canonical_sha256":"1475a803b922212325764dc916b9abe367b96f95c9d18df3330544e5485d5000","source":{"kind":"arxiv","id":"1010.1766","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.1766","created_at":"2026-05-18T04:23:56Z"},{"alias_kind":"arxiv_version","alias_value":"1010.1766v1","created_at":"2026-05-18T04:23:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.1766","created_at":"2026-05-18T04:23:56Z"},{"alias_kind":"pith_short_12","alias_value":"CR22QA5ZEIQS","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"CR22QA5ZEIQSGJLW","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"CR22QA5Z","created_at":"2026-05-18T12:26:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:CR22QA5ZEIQSGJLWJXERNONL4N","target":"record","payload":{"canonical_record":{"source":{"id":"1010.1766","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-10-08T19:17:12Z","cross_cats_sorted":["cond-mat.other"],"title_canon_sha256":"1db058813074fcc2f41a8c3b591ba75270adfb9f3f72f4c14599bad7d75c7322","abstract_canon_sha256":"8fdd229348037bd7ef3cf2cdc21a11719633a58ca0f4c88b1f27a66e2e07d7ca"},"schema_version":"1.0"},"canonical_sha256":"1475a803b922212325764dc916b9abe367b96f95c9d18df3330544e5485d5000","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:23:56.557107Z","signature_b64":"fygr8UpYKhMBbvcBybuOF+CwepaaowYmUmJFf2YtfPCSZlNXTDhw0g5YgoVnfHCa9AY2zpWKr4Nl7IRE/HERDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1475a803b922212325764dc916b9abe367b96f95c9d18df3330544e5485d5000","last_reissued_at":"2026-05-18T04:23:56.556691Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:23:56.556691Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.1766","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":"2026-05-18T04:23:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/Mvc2xXfLMVYDF3sIWr3dhwvT8Ablm3/QD6YwsKYMLGvXO42PfqtyHs2XnopbtnQG3kmqxlmwUnHpqvSYPyeDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T18:00:33.764550Z"},"content_sha256":"8ca64e5d77330fb058b094611846b63c0686234c8c808ff122c1d0d8d92eb4f2","schema_version":"1.0","event_id":"sha256:8ca64e5d77330fb058b094611846b63c0686234c8c808ff122c1d0d8d92eb4f2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:CR22QA5ZEIQSGJLWJXERNONL4N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Effect of fractal disorder on static friction in the Tomlinson model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other"],"primary_cat":"cond-mat.stat-mech","authors_text":"Bikas K. Chakrabarti, Jon Alm Eriksen, Soumyajyoti Biswas","submitted_at":"2010-10-08T19:17:12Z","abstract_excerpt":"We propose a modified version of the Tomlinson model for static friction between two chains of beads. We introduce disorder in terms of vacancies in the chain, and distribute the remaining beads in a scale invariant way. For this we utilize a generalized random Cantor set. We relate the static friction force, to the overlap distribution of the chains, and discuss how the distribution of the static friction force depends on the distribution of the remaining beads. For the random Cantor set we find a scaled distribution which is independent on the generation of the set."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.1766","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":""},"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":"2026-05-18T04:23:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o/AtASYeWg3JVa8U718J4EexP3DsEIZ4WJUn6YJkTrDcDtd6QTfXl/QIKjuurSaFpHLKkMGQJoHX3Bq8A7ViBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T18:00:33.764906Z"},"content_sha256":"1c921621d1a181e52ea99f9ee6078e7dd92ee56a00fd7cc6011c899db48ec608","schema_version":"1.0","event_id":"sha256:1c921621d1a181e52ea99f9ee6078e7dd92ee56a00fd7cc6011c899db48ec608"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CR22QA5ZEIQSGJLWJXERNONL4N/bundle.json","state_url":"https://pith.science/pith/CR22QA5ZEIQSGJLWJXERNONL4N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CR22QA5ZEIQSGJLWJXERNONL4N/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":"2026-06-22T18:00:33Z","links":{"resolver":"https://pith.science/pith/CR22QA5ZEIQSGJLWJXERNONL4N","bundle":"https://pith.science/pith/CR22QA5ZEIQSGJLWJXERNONL4N/bundle.json","state":"https://pith.science/pith/CR22QA5ZEIQSGJLWJXERNONL4N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CR22QA5ZEIQSGJLWJXERNONL4N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:CR22QA5ZEIQSGJLWJXERNONL4N","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":"8fdd229348037bd7ef3cf2cdc21a11719633a58ca0f4c88b1f27a66e2e07d7ca","cross_cats_sorted":["cond-mat.other"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-10-08T19:17:12Z","title_canon_sha256":"1db058813074fcc2f41a8c3b591ba75270adfb9f3f72f4c14599bad7d75c7322"},"schema_version":"1.0","source":{"id":"1010.1766","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.1766","created_at":"2026-05-18T04:23:56Z"},{"alias_kind":"arxiv_version","alias_value":"1010.1766v1","created_at":"2026-05-18T04:23:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.1766","created_at":"2026-05-18T04:23:56Z"},{"alias_kind":"pith_short_12","alias_value":"CR22QA5ZEIQS","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"CR22QA5ZEIQSGJLW","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"CR22QA5Z","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:1c921621d1a181e52ea99f9ee6078e7dd92ee56a00fd7cc6011c899db48ec608","target":"graph","created_at":"2026-05-18T04:23:56Z","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 propose a modified version of the Tomlinson model for static friction between two chains of beads. We introduce disorder in terms of vacancies in the chain, and distribute the remaining beads in a scale invariant way. For this we utilize a generalized random Cantor set. We relate the static friction force, to the overlap distribution of the chains, and discuss how the distribution of the static friction force depends on the distribution of the remaining beads. For the random Cantor set we find a scaled distribution which is independent on the generation of the set.","authors_text":"Bikas K. Chakrabarti, Jon Alm Eriksen, Soumyajyoti Biswas","cross_cats":["cond-mat.other"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-10-08T19:17:12Z","title":"Effect of fractal disorder on static friction in the Tomlinson model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.1766","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":"sha256:8ca64e5d77330fb058b094611846b63c0686234c8c808ff122c1d0d8d92eb4f2","target":"record","created_at":"2026-05-18T04:23:56Z","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":"8fdd229348037bd7ef3cf2cdc21a11719633a58ca0f4c88b1f27a66e2e07d7ca","cross_cats_sorted":["cond-mat.other"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-10-08T19:17:12Z","title_canon_sha256":"1db058813074fcc2f41a8c3b591ba75270adfb9f3f72f4c14599bad7d75c7322"},"schema_version":"1.0","source":{"id":"1010.1766","kind":"arxiv","version":1}},"canonical_sha256":"1475a803b922212325764dc916b9abe367b96f95c9d18df3330544e5485d5000","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1475a803b922212325764dc916b9abe367b96f95c9d18df3330544e5485d5000","first_computed_at":"2026-05-18T04:23:56.556691Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:56.556691Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fygr8UpYKhMBbvcBybuOF+CwepaaowYmUmJFf2YtfPCSZlNXTDhw0g5YgoVnfHCa9AY2zpWKr4Nl7IRE/HERDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:56.557107Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.1766","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ca64e5d77330fb058b094611846b63c0686234c8c808ff122c1d0d8d92eb4f2","sha256:1c921621d1a181e52ea99f9ee6078e7dd92ee56a00fd7cc6011c899db48ec608"],"state_sha256":"18b5725abf67b4624a210bc3d21b44ad4afe1f73ff10f77165ff8bde0bae175a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a5LRoAcoo2DILKIJ9aFz0rFl79HDkgLqW/eQAu6La3NYPlZa0+mLcO0FuWyb5GL+QNmHNRWwhyuAlu+wqiVOCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T18:00:33.766890Z","bundle_sha256":"182bd6c927a31f984bb1da9f621bc853b308c19c675e61e74e73c43df6780908"}}