{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:K7XYVAEX6HLUN5G7MQRUSHSVGK","short_pith_number":"pith:K7XYVAEX","canonical_record":{"source":{"id":"1205.3006","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-05-14T12:42:12Z","cross_cats_sorted":["cond-mat.mtrl-sci","math-ph","math.MP","nlin.PS"],"title_canon_sha256":"29c5425cef487dc9c927f4d5635bff65a7b77d22702e26b1aed23fe7447aa23d","abstract_canon_sha256":"7886cf5096cc90e5e411962f1ccf97b88e0b13872574d807bf5578f8a7daa27c"},"schema_version":"1.0"},"canonical_sha256":"57ef8a8097f1d746f4df6423491e55328ea213e95e66c8207e0a353c0c66910b","source":{"kind":"arxiv","id":"1205.3006","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.3006","created_at":"2026-05-18T01:57:32Z"},{"alias_kind":"arxiv_version","alias_value":"1205.3006v2","created_at":"2026-05-18T01:57:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.3006","created_at":"2026-05-18T01:57:32Z"},{"alias_kind":"pith_short_12","alias_value":"K7XYVAEX6HLU","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"K7XYVAEX6HLUN5G7","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"K7XYVAEX","created_at":"2026-05-18T12:27:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:K7XYVAEX6HLUN5G7MQRUSHSVGK","target":"record","payload":{"canonical_record":{"source":{"id":"1205.3006","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-05-14T12:42:12Z","cross_cats_sorted":["cond-mat.mtrl-sci","math-ph","math.MP","nlin.PS"],"title_canon_sha256":"29c5425cef487dc9c927f4d5635bff65a7b77d22702e26b1aed23fe7447aa23d","abstract_canon_sha256":"7886cf5096cc90e5e411962f1ccf97b88e0b13872574d807bf5578f8a7daa27c"},"schema_version":"1.0"},"canonical_sha256":"57ef8a8097f1d746f4df6423491e55328ea213e95e66c8207e0a353c0c66910b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:57:32.614182Z","signature_b64":"BbQIO27/HddZaiCTD9SqkoD3QcwRQ0xUEtBT5pxhkg7Ph53LNHom8GnGXVur8onOLLxcBdjvb/zzauR9qG65AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"57ef8a8097f1d746f4df6423491e55328ea213e95e66c8207e0a353c0c66910b","last_reissued_at":"2026-05-18T01:57:32.613613Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:57:32.613613Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1205.3006","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":"2026-05-18T01:57:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Slx6BrLkmHWE+PYetzummYziYbn6BT+gNHzMFJxVw81W7vguYrnlnqTC7h+9IxmnG89ma1ZiBRATO2mJ1m+fDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T08:23:03.712769Z"},"content_sha256":"93fb3950463f1abbfc7a98750dc0ba1cf3b3116007b870feaa5f1c12557fab09","schema_version":"1.0","event_id":"sha256:93fb3950463f1abbfc7a98750dc0ba1cf3b3116007b870feaa5f1c12557fab09"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:K7XYVAEX6HLUN5G7MQRUSHSVGK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"New Solutions for Slow Moving Kinks in a Forced Frenkel-Kontorova Chain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci","math-ph","math.MP","nlin.PS"],"primary_cat":"math.DS","authors_text":"Anna Vainchtein, Phoebus Rosakis","submitted_at":"2012-05-14T12:42:12Z","abstract_excerpt":"We construct new traveling wave solutions of moving kink type for a modified, driven, dynamic Frenkel-Kontorova model, representing dislocation motion under stress. Formal solutions known so far are inadmissible for velocities below a thresh- old value. The new solutions fill the gap left by this loss of admissibility. Analytical and numerical evidence is presented for their existence; however, dynamic simulations suggest that they are probably unstable."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.3006","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":"2026-05-18T01:57:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kCw8ZlvIKCSE2y2ESgrn6OIbwLkFcbOO1zV6JZdyQkSo7lCLqpiggcwwyso4ByJn2hsjROWgCI53rGmo5EWnDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T08:23:03.713126Z"},"content_sha256":"4e75be6411d60751ee9c5b161ddaca18caaa45bf957db135f0203c724d1ea6a8","schema_version":"1.0","event_id":"sha256:4e75be6411d60751ee9c5b161ddaca18caaa45bf957db135f0203c724d1ea6a8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K7XYVAEX6HLUN5G7MQRUSHSVGK/bundle.json","state_url":"https://pith.science/pith/K7XYVAEX6HLUN5G7MQRUSHSVGK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K7XYVAEX6HLUN5G7MQRUSHSVGK/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":"2026-06-26T08:23:03Z","links":{"resolver":"https://pith.science/pith/K7XYVAEX6HLUN5G7MQRUSHSVGK","bundle":"https://pith.science/pith/K7XYVAEX6HLUN5G7MQRUSHSVGK/bundle.json","state":"https://pith.science/pith/K7XYVAEX6HLUN5G7MQRUSHSVGK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K7XYVAEX6HLUN5G7MQRUSHSVGK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:K7XYVAEX6HLUN5G7MQRUSHSVGK","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":"7886cf5096cc90e5e411962f1ccf97b88e0b13872574d807bf5578f8a7daa27c","cross_cats_sorted":["cond-mat.mtrl-sci","math-ph","math.MP","nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-05-14T12:42:12Z","title_canon_sha256":"29c5425cef487dc9c927f4d5635bff65a7b77d22702e26b1aed23fe7447aa23d"},"schema_version":"1.0","source":{"id":"1205.3006","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.3006","created_at":"2026-05-18T01:57:32Z"},{"alias_kind":"arxiv_version","alias_value":"1205.3006v2","created_at":"2026-05-18T01:57:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.3006","created_at":"2026-05-18T01:57:32Z"},{"alias_kind":"pith_short_12","alias_value":"K7XYVAEX6HLU","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"K7XYVAEX6HLUN5G7","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"K7XYVAEX","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:4e75be6411d60751ee9c5b161ddaca18caaa45bf957db135f0203c724d1ea6a8","target":"graph","created_at":"2026-05-18T01:57:32Z","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 construct new traveling wave solutions of moving kink type for a modified, driven, dynamic Frenkel-Kontorova model, representing dislocation motion under stress. Formal solutions known so far are inadmissible for velocities below a thresh- old value. The new solutions fill the gap left by this loss of admissibility. Analytical and numerical evidence is presented for their existence; however, dynamic simulations suggest that they are probably unstable.","authors_text":"Anna Vainchtein, Phoebus Rosakis","cross_cats":["cond-mat.mtrl-sci","math-ph","math.MP","nlin.PS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-05-14T12:42:12Z","title":"New Solutions for Slow Moving Kinks in a Forced Frenkel-Kontorova Chain"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.3006","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":"sha256:93fb3950463f1abbfc7a98750dc0ba1cf3b3116007b870feaa5f1c12557fab09","target":"record","created_at":"2026-05-18T01:57:32Z","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":"7886cf5096cc90e5e411962f1ccf97b88e0b13872574d807bf5578f8a7daa27c","cross_cats_sorted":["cond-mat.mtrl-sci","math-ph","math.MP","nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-05-14T12:42:12Z","title_canon_sha256":"29c5425cef487dc9c927f4d5635bff65a7b77d22702e26b1aed23fe7447aa23d"},"schema_version":"1.0","source":{"id":"1205.3006","kind":"arxiv","version":2}},"canonical_sha256":"57ef8a8097f1d746f4df6423491e55328ea213e95e66c8207e0a353c0c66910b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"57ef8a8097f1d746f4df6423491e55328ea213e95e66c8207e0a353c0c66910b","first_computed_at":"2026-05-18T01:57:32.613613Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:57:32.613613Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BbQIO27/HddZaiCTD9SqkoD3QcwRQ0xUEtBT5pxhkg7Ph53LNHom8GnGXVur8onOLLxcBdjvb/zzauR9qG65AA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:57:32.614182Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.3006","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:93fb3950463f1abbfc7a98750dc0ba1cf3b3116007b870feaa5f1c12557fab09","sha256:4e75be6411d60751ee9c5b161ddaca18caaa45bf957db135f0203c724d1ea6a8"],"state_sha256":"fa849c1934687974a13df0a9e33c33265899cf784d118a4252ccfb0b96c044b8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M732FOvRidj15m/MogsCQQAFd3CLqBebiL561xgw8dE798nUPD1UOmq51BZk4Vnp3292374abQl6wnJj/lPtDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T08:23:03.715124Z","bundle_sha256":"3ffc704714dd049797999a74b9fe6ec28936a2a7a5c7af7ec68b1238b47cef2c"}}