{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:7E65XZEM4HNH3Q3GCNBHBTXFGV","short_pith_number":"pith:7E65XZEM","canonical_record":{"source":{"id":"1801.09167","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2018-01-28T01:51:56Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"bd2bf84e9079c95ddbb76795c63c3975ca185a45e2d9cd6740c032bf3c2c5c2f","abstract_canon_sha256":"2e672e5783a31a7b0dbc1e6a65c8a406c69f497618b5db5793ae996b4058ac4b"},"schema_version":"1.0"},"canonical_sha256":"f93ddbe48ce1da7dc366134270cee53567314111a021fab6d5b704412a18117a","source":{"kind":"arxiv","id":"1801.09167","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.09167","created_at":"2026-05-18T00:17:01Z"},{"alias_kind":"arxiv_version","alias_value":"1801.09167v1","created_at":"2026-05-18T00:17:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.09167","created_at":"2026-05-18T00:17:01Z"},{"alias_kind":"pith_short_12","alias_value":"7E65XZEM4HNH","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"7E65XZEM4HNH3Q3G","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"7E65XZEM","created_at":"2026-05-18T12:32:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:7E65XZEM4HNH3Q3GCNBHBTXFGV","target":"record","payload":{"canonical_record":{"source":{"id":"1801.09167","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2018-01-28T01:51:56Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"bd2bf84e9079c95ddbb76795c63c3975ca185a45e2d9cd6740c032bf3c2c5c2f","abstract_canon_sha256":"2e672e5783a31a7b0dbc1e6a65c8a406c69f497618b5db5793ae996b4058ac4b"},"schema_version":"1.0"},"canonical_sha256":"f93ddbe48ce1da7dc366134270cee53567314111a021fab6d5b704412a18117a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:17:01.353474Z","signature_b64":"66YO6q3dR09GmzsPlJ60BS8J0MmcV+hjlAhDy2/ChUKLkXljpGJ1MJDTO18/9h0klnbWyJSVDUvb6ceKsWkkDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f93ddbe48ce1da7dc366134270cee53567314111a021fab6d5b704412a18117a","last_reissued_at":"2026-05-18T00:17:01.353021Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:17:01.353021Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.09167","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":"2026-05-18T00:17:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SHv99c5RQU98T2qFscskHRzpcFEfZwEHT/e1snx/ePVIfM0xIx/jTUJzeEWvm1Qh9P11jd/3hLv4ZufUoIroCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T08:06:00.478549Z"},"content_sha256":"5695bd5edd09a18c82379059a0f9fdecb419332cba850a6bfa422ea576bde349","schema_version":"1.0","event_id":"sha256:5695bd5edd09a18c82379059a0f9fdecb419332cba850a6bfa422ea576bde349"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:7E65XZEM4HNH3Q3GCNBHBTXFGV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pinning by rare defects and effective mobility for elastic interfaces in high dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Alberto Rosso, Vincent D\\'emery, Xiangyu Cao","submitted_at":"2018-01-28T01:51:56Z","abstract_excerpt":"The existence of a depinning transition for a high dimensional interface in a weakly disordered medium is controversial. Following Larkin arguments and a perturbative expansion, one expects a linear response with a renormalized mobility ${\\mu}_{\\text{eff}}$ . In this paper, we compare these predictions with the exact solution of a fully connected model, which displays a finite critical force $f_c$. At small disorder, we unveil an intermediary linear regime for $f_c < f < 1$ characterized by the renormalized mobility ${\\mu}_{\\text{eff}}$. Our results suggest that in high dimension the critical "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.09167","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":"2026-05-18T00:17:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m2b7JgK1eq7RrZ+ZWyJIYkFBlUdOwCrjK/hM2ALV+KoYF7Hp8QpZIWlxCGKF75xr/GzdNbTanFgyENB2EAyfBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T08:06:00.478963Z"},"content_sha256":"aa5323fde09918438e9326ae5c714f65594668ee88d923b27879729b0c2388d9","schema_version":"1.0","event_id":"sha256:aa5323fde09918438e9326ae5c714f65594668ee88d923b27879729b0c2388d9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7E65XZEM4HNH3Q3GCNBHBTXFGV/bundle.json","state_url":"https://pith.science/pith/7E65XZEM4HNH3Q3GCNBHBTXFGV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7E65XZEM4HNH3Q3GCNBHBTXFGV/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":"2026-06-04T08:06:00Z","links":{"resolver":"https://pith.science/pith/7E65XZEM4HNH3Q3GCNBHBTXFGV","bundle":"https://pith.science/pith/7E65XZEM4HNH3Q3GCNBHBTXFGV/bundle.json","state":"https://pith.science/pith/7E65XZEM4HNH3Q3GCNBHBTXFGV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7E65XZEM4HNH3Q3GCNBHBTXFGV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:7E65XZEM4HNH3Q3GCNBHBTXFGV","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":"2e672e5783a31a7b0dbc1e6a65c8a406c69f497618b5db5793ae996b4058ac4b","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2018-01-28T01:51:56Z","title_canon_sha256":"bd2bf84e9079c95ddbb76795c63c3975ca185a45e2d9cd6740c032bf3c2c5c2f"},"schema_version":"1.0","source":{"id":"1801.09167","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.09167","created_at":"2026-05-18T00:17:01Z"},{"alias_kind":"arxiv_version","alias_value":"1801.09167v1","created_at":"2026-05-18T00:17:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.09167","created_at":"2026-05-18T00:17:01Z"},{"alias_kind":"pith_short_12","alias_value":"7E65XZEM4HNH","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"7E65XZEM4HNH3Q3G","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"7E65XZEM","created_at":"2026-05-18T12:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:aa5323fde09918438e9326ae5c714f65594668ee88d923b27879729b0c2388d9","target":"graph","created_at":"2026-05-18T00:17:01Z","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":"The existence of a depinning transition for a high dimensional interface in a weakly disordered medium is controversial. Following Larkin arguments and a perturbative expansion, one expects a linear response with a renormalized mobility ${\\mu}_{\\text{eff}}$ . In this paper, we compare these predictions with the exact solution of a fully connected model, which displays a finite critical force $f_c$. At small disorder, we unveil an intermediary linear regime for $f_c < f < 1$ characterized by the renormalized mobility ${\\mu}_{\\text{eff}}$. Our results suggest that in high dimension the critical ","authors_text":"Alberto Rosso, Vincent D\\'emery, Xiangyu Cao","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2018-01-28T01:51:56Z","title":"Pinning by rare defects and effective mobility for elastic interfaces in high dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.09167","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":"sha256:5695bd5edd09a18c82379059a0f9fdecb419332cba850a6bfa422ea576bde349","target":"record","created_at":"2026-05-18T00:17:01Z","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":"2e672e5783a31a7b0dbc1e6a65c8a406c69f497618b5db5793ae996b4058ac4b","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2018-01-28T01:51:56Z","title_canon_sha256":"bd2bf84e9079c95ddbb76795c63c3975ca185a45e2d9cd6740c032bf3c2c5c2f"},"schema_version":"1.0","source":{"id":"1801.09167","kind":"arxiv","version":1}},"canonical_sha256":"f93ddbe48ce1da7dc366134270cee53567314111a021fab6d5b704412a18117a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f93ddbe48ce1da7dc366134270cee53567314111a021fab6d5b704412a18117a","first_computed_at":"2026-05-18T00:17:01.353021Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:01.353021Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"66YO6q3dR09GmzsPlJ60BS8J0MmcV+hjlAhDy2/ChUKLkXljpGJ1MJDTO18/9h0klnbWyJSVDUvb6ceKsWkkDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:01.353474Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.09167","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5695bd5edd09a18c82379059a0f9fdecb419332cba850a6bfa422ea576bde349","sha256:aa5323fde09918438e9326ae5c714f65594668ee88d923b27879729b0c2388d9"],"state_sha256":"c4dd0de39ce3ef6b966bb3f4e2a9aa6db8d1390e6ef201f4d1bc5ab4aaa9ac7c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U0T3CE9Co2d2dl7I1eqcxPeYpxzmjnm0uaMorXDHZ7b3vY+ezru0qK8bxr/l2W1ePwYDjFMkUs08kHzfqW1uDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T08:06:00.482034Z","bundle_sha256":"438bf4c65af8d9053c5fcf1f388925d64bcd6c091537d5e1e00f642f9208fe08"}}