{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:U5NX5TPFHAZWUYGAUNRXTPQDXS","short_pith_number":"pith:U5NX5TPF","canonical_record":{"source":{"id":"1012.0667","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-03T09:11:57Z","cross_cats_sorted":[],"title_canon_sha256":"b566b98814141f5343101f7ebbf4cbfcaa3882743593e3a53edc0cb39a71ca9b","abstract_canon_sha256":"3aec6aad0d4a560ea0b45c21e6de2be243cf4fafe17c22a9b7775881ece33073"},"schema_version":"1.0"},"canonical_sha256":"a75b7ecde538336a60c0a36379be03bcab6261eaf800c349455438f7c33b1e5a","source":{"kind":"arxiv","id":"1012.0667","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.0667","created_at":"2026-05-18T02:04:35Z"},{"alias_kind":"arxiv_version","alias_value":"1012.0667v1","created_at":"2026-05-18T02:04:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.0667","created_at":"2026-05-18T02:04:35Z"},{"alias_kind":"pith_short_12","alias_value":"U5NX5TPFHAZW","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"U5NX5TPFHAZWUYGA","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"U5NX5TPF","created_at":"2026-05-18T12:26:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:U5NX5TPFHAZWUYGAUNRXTPQDXS","target":"record","payload":{"canonical_record":{"source":{"id":"1012.0667","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-03T09:11:57Z","cross_cats_sorted":[],"title_canon_sha256":"b566b98814141f5343101f7ebbf4cbfcaa3882743593e3a53edc0cb39a71ca9b","abstract_canon_sha256":"3aec6aad0d4a560ea0b45c21e6de2be243cf4fafe17c22a9b7775881ece33073"},"schema_version":"1.0"},"canonical_sha256":"a75b7ecde538336a60c0a36379be03bcab6261eaf800c349455438f7c33b1e5a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:04:35.547477Z","signature_b64":"hNNHeot/BJUM3CbJr4cNjKMv5kTQR5EwR+HaC9PTjbRGmyD4kCBL9bpudaiqi+uv+qYWXSLrQhUzsRFwVh4eBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a75b7ecde538336a60c0a36379be03bcab6261eaf800c349455438f7c33b1e5a","last_reissued_at":"2026-05-18T02:04:35.546668Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:04:35.546668Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1012.0667","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":"2026-05-18T02:04:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"94Jj9wLdVmb//+Rkw8uMJ2D8obZscH3NilEW70OnQG7MLd41jrROFTPXAMUgdpexbdD4CpeJacBo8ZBnB4ZQAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T02:15:10.303801Z"},"content_sha256":"d6559bb6b2c6615b13bbcceb85ff5f1bbddea98de42ef548f7b2390a54598e74","schema_version":"1.0","event_id":"sha256:d6559bb6b2c6615b13bbcceb85ff5f1bbddea98de42ef548f7b2390a54598e74"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:U5NX5TPFHAZWUYGAUNRXTPQDXS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mean field theory for driven domain walls in disordered environments","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Friedmar Sch\\\"utze, Thomas Nattermann","submitted_at":"2010-12-03T09:11:57Z","abstract_excerpt":"We study the mean field equation of motion for driven domain walls in random media. We discuss the two cases of an external constant as well as an oscillating driving force. Our main focus lies on the critical dynamics close to the depinning transition, which we study by analytical and numerical methods. We find power-law scaling for the velocity as well as the hysteresis loop area."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.0667","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":"2026-05-18T02:04:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eo4VVc/Xo6r/jHNQ2yQ2MGuJNmjohFQSMNg0iVrOkSmJEMFEWrplDLFObfAG3/RtRm6YKLz3MYJTdfULPi85Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T02:15:10.304479Z"},"content_sha256":"c7c594df3119c4239fee6b750b553c3c5e691df61d0210b71ca088a513068ec1","schema_version":"1.0","event_id":"sha256:c7c594df3119c4239fee6b750b553c3c5e691df61d0210b71ca088a513068ec1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U5NX5TPFHAZWUYGAUNRXTPQDXS/bundle.json","state_url":"https://pith.science/pith/U5NX5TPFHAZWUYGAUNRXTPQDXS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U5NX5TPFHAZWUYGAUNRXTPQDXS/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":"2026-05-23T02:15:10Z","links":{"resolver":"https://pith.science/pith/U5NX5TPFHAZWUYGAUNRXTPQDXS","bundle":"https://pith.science/pith/U5NX5TPFHAZWUYGAUNRXTPQDXS/bundle.json","state":"https://pith.science/pith/U5NX5TPFHAZWUYGAUNRXTPQDXS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U5NX5TPFHAZWUYGAUNRXTPQDXS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:U5NX5TPFHAZWUYGAUNRXTPQDXS","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":"3aec6aad0d4a560ea0b45c21e6de2be243cf4fafe17c22a9b7775881ece33073","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-03T09:11:57Z","title_canon_sha256":"b566b98814141f5343101f7ebbf4cbfcaa3882743593e3a53edc0cb39a71ca9b"},"schema_version":"1.0","source":{"id":"1012.0667","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.0667","created_at":"2026-05-18T02:04:35Z"},{"alias_kind":"arxiv_version","alias_value":"1012.0667v1","created_at":"2026-05-18T02:04:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.0667","created_at":"2026-05-18T02:04:35Z"},{"alias_kind":"pith_short_12","alias_value":"U5NX5TPFHAZW","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"U5NX5TPFHAZWUYGA","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"U5NX5TPF","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:c7c594df3119c4239fee6b750b553c3c5e691df61d0210b71ca088a513068ec1","target":"graph","created_at":"2026-05-18T02:04:35Z","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 study the mean field equation of motion for driven domain walls in random media. We discuss the two cases of an external constant as well as an oscillating driving force. Our main focus lies on the critical dynamics close to the depinning transition, which we study by analytical and numerical methods. We find power-law scaling for the velocity as well as the hysteresis loop area.","authors_text":"Friedmar Sch\\\"utze, Thomas Nattermann","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-03T09:11:57Z","title":"Mean field theory for driven domain walls in disordered environments"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.0667","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:d6559bb6b2c6615b13bbcceb85ff5f1bbddea98de42ef548f7b2390a54598e74","target":"record","created_at":"2026-05-18T02:04:35Z","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":"3aec6aad0d4a560ea0b45c21e6de2be243cf4fafe17c22a9b7775881ece33073","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-03T09:11:57Z","title_canon_sha256":"b566b98814141f5343101f7ebbf4cbfcaa3882743593e3a53edc0cb39a71ca9b"},"schema_version":"1.0","source":{"id":"1012.0667","kind":"arxiv","version":1}},"canonical_sha256":"a75b7ecde538336a60c0a36379be03bcab6261eaf800c349455438f7c33b1e5a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a75b7ecde538336a60c0a36379be03bcab6261eaf800c349455438f7c33b1e5a","first_computed_at":"2026-05-18T02:04:35.546668Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:04:35.546668Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hNNHeot/BJUM3CbJr4cNjKMv5kTQR5EwR+HaC9PTjbRGmyD4kCBL9bpudaiqi+uv+qYWXSLrQhUzsRFwVh4eBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:04:35.547477Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.0667","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d6559bb6b2c6615b13bbcceb85ff5f1bbddea98de42ef548f7b2390a54598e74","sha256:c7c594df3119c4239fee6b750b553c3c5e691df61d0210b71ca088a513068ec1"],"state_sha256":"864bda53547d06b2e22b6d8028d99b6d5bce2f73f67c3f7df806c28d6897381c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z+g672xs1HwM5XyC8FDlg8xgeAVFUKTBMMBdSpCXg7uBVqfDWmg1sOx4DO0EfOD17bUzQl5+ecvqHnRNGMy4AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T02:15:10.308076Z","bundle_sha256":"9b87270c9f763a254990014ecf10dd75dcda244e6f5c8e8b57223b5faab16c93"}}