{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:GK7PS42VLFB7ZY4SUAQW2W43C5","short_pith_number":"pith:GK7PS42V","canonical_record":{"source":{"id":"1011.1901","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-11-08T20:53:52Z","cross_cats_sorted":[],"title_canon_sha256":"9662ed3a72ecfcfbf1db3785351a46a5ebdbb6e9b06494e415abab1fc2e15d4c","abstract_canon_sha256":"a09fd2f20fe888231db320c838cebee5027bec600c3c73a961edbc4f60ce9c37"},"schema_version":"1.0"},"canonical_sha256":"32bef973555943fce392a0216d5b9b17799ded35ae7d42009cebb50b4f2f1b37","source":{"kind":"arxiv","id":"1011.1901","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.1901","created_at":"2026-05-18T04:36:49Z"},{"alias_kind":"arxiv_version","alias_value":"1011.1901v1","created_at":"2026-05-18T04:36:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.1901","created_at":"2026-05-18T04:36:49Z"},{"alias_kind":"pith_short_12","alias_value":"GK7PS42VLFB7","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"GK7PS42VLFB7ZY4S","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"GK7PS42V","created_at":"2026-05-18T12:26:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:GK7PS42VLFB7ZY4SUAQW2W43C5","target":"record","payload":{"canonical_record":{"source":{"id":"1011.1901","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-11-08T20:53:52Z","cross_cats_sorted":[],"title_canon_sha256":"9662ed3a72ecfcfbf1db3785351a46a5ebdbb6e9b06494e415abab1fc2e15d4c","abstract_canon_sha256":"a09fd2f20fe888231db320c838cebee5027bec600c3c73a961edbc4f60ce9c37"},"schema_version":"1.0"},"canonical_sha256":"32bef973555943fce392a0216d5b9b17799ded35ae7d42009cebb50b4f2f1b37","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:36:49.651626Z","signature_b64":"+QkBD1Qse9Dn4nBu5eU7fXojRcPs5OmZgaJh5INpuixbVC8robx6fTs2ZcZ7m3WtZjt1PAItIAqoflh9N3GLDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"32bef973555943fce392a0216d5b9b17799ded35ae7d42009cebb50b4f2f1b37","last_reissued_at":"2026-05-18T04:36:49.651170Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:36:49.651170Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1011.1901","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":"2026-05-18T04:36:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"43OmqhU9hBGGxa6L+b1uaiYmysrSKB4YAhhFnsksy4m2s9JdjORl2OnXSQx3dJca1DKmom3ivVU2VjRqSG8/AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T12:23:30.438701Z"},"content_sha256":"d1a0e84db46d6f2c41e22bfcef836a8707f474804c92c218f9190da6f001c37a","schema_version":"1.0","event_id":"sha256:d1a0e84db46d6f2c41e22bfcef836a8707f474804c92c218f9190da6f001c37a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:GK7PS42VLFB7ZY4SUAQW2W43C5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Irregular Time Dependent Obstacles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Mikko Parviainen, Peter Lindqvist","submitted_at":"2010-11-08T20:53:52Z","abstract_excerpt":"We study the obstacle problem for the Evolutionary p-Laplace Equation when the obstacle is discontinuous and without regularity in the time variable. Two quite different procedures yield the same solution."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.1901","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":"2026-05-18T04:36:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jDloMygfhnMHvpdYuzjUGmlG1RwU7ENmcY53mfxn1m3kcN0hNBpGtFx+Z3iajAL5yxcyfJRrhFBQmuUveK3uDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T12:23:30.439391Z"},"content_sha256":"da100891ca7716b8919405a4b6b821b46347ecea4a02306581760d435c359df1","schema_version":"1.0","event_id":"sha256:da100891ca7716b8919405a4b6b821b46347ecea4a02306581760d435c359df1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GK7PS42VLFB7ZY4SUAQW2W43C5/bundle.json","state_url":"https://pith.science/pith/GK7PS42VLFB7ZY4SUAQW2W43C5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GK7PS42VLFB7ZY4SUAQW2W43C5/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":"2026-05-30T12:23:30Z","links":{"resolver":"https://pith.science/pith/GK7PS42VLFB7ZY4SUAQW2W43C5","bundle":"https://pith.science/pith/GK7PS42VLFB7ZY4SUAQW2W43C5/bundle.json","state":"https://pith.science/pith/GK7PS42VLFB7ZY4SUAQW2W43C5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GK7PS42VLFB7ZY4SUAQW2W43C5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:GK7PS42VLFB7ZY4SUAQW2W43C5","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":"a09fd2f20fe888231db320c838cebee5027bec600c3c73a961edbc4f60ce9c37","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-11-08T20:53:52Z","title_canon_sha256":"9662ed3a72ecfcfbf1db3785351a46a5ebdbb6e9b06494e415abab1fc2e15d4c"},"schema_version":"1.0","source":{"id":"1011.1901","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.1901","created_at":"2026-05-18T04:36:49Z"},{"alias_kind":"arxiv_version","alias_value":"1011.1901v1","created_at":"2026-05-18T04:36:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.1901","created_at":"2026-05-18T04:36:49Z"},{"alias_kind":"pith_short_12","alias_value":"GK7PS42VLFB7","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"GK7PS42VLFB7ZY4S","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"GK7PS42V","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:da100891ca7716b8919405a4b6b821b46347ecea4a02306581760d435c359df1","target":"graph","created_at":"2026-05-18T04:36:49Z","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 obstacle problem for the Evolutionary p-Laplace Equation when the obstacle is discontinuous and without regularity in the time variable. Two quite different procedures yield the same solution.","authors_text":"Mikko Parviainen, Peter Lindqvist","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-11-08T20:53:52Z","title":"Irregular Time Dependent Obstacles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.1901","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:d1a0e84db46d6f2c41e22bfcef836a8707f474804c92c218f9190da6f001c37a","target":"record","created_at":"2026-05-18T04:36:49Z","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":"a09fd2f20fe888231db320c838cebee5027bec600c3c73a961edbc4f60ce9c37","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-11-08T20:53:52Z","title_canon_sha256":"9662ed3a72ecfcfbf1db3785351a46a5ebdbb6e9b06494e415abab1fc2e15d4c"},"schema_version":"1.0","source":{"id":"1011.1901","kind":"arxiv","version":1}},"canonical_sha256":"32bef973555943fce392a0216d5b9b17799ded35ae7d42009cebb50b4f2f1b37","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"32bef973555943fce392a0216d5b9b17799ded35ae7d42009cebb50b4f2f1b37","first_computed_at":"2026-05-18T04:36:49.651170Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:36:49.651170Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+QkBD1Qse9Dn4nBu5eU7fXojRcPs5OmZgaJh5INpuixbVC8robx6fTs2ZcZ7m3WtZjt1PAItIAqoflh9N3GLDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:36:49.651626Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.1901","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1a0e84db46d6f2c41e22bfcef836a8707f474804c92c218f9190da6f001c37a","sha256:da100891ca7716b8919405a4b6b821b46347ecea4a02306581760d435c359df1"],"state_sha256":"a79b9db9b26d0b200ded13bb5b089bf9cbcc8ade4607d21bb32515322725c8b5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yIDBdnd8A6A45jnMIfo1pUNwQGcjbmkx43AChPb/Y/Bws0YEQr6nsNDUOPGV7HrMxd+WK3e/SGI9WXuA0vhrDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T12:23:30.443359Z","bundle_sha256":"131b8d6fb3c7b1ae300ae9130df08601d4885a49807aef631d9bebb099df4352"}}