{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:IP2YFF52I2SFS4ET4G52XYBMYV","short_pith_number":"pith:IP2YFF52","canonical_record":{"source":{"id":"1211.1401","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2012-11-06T21:17:01Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"2abe054552b568282dc4dd1b060d57361340c29b410eb0222f0d8638b1f2452d","abstract_canon_sha256":"b94d0032ad3f8653d0a413504aa7ccb3e8d2577976b1b71806fef4bf523a762d"},"schema_version":"1.0"},"canonical_sha256":"43f58297ba46a4597093e1bbabe02cc5480ac06da7eb78c05d18c42d1fe118e1","source":{"kind":"arxiv","id":"1211.1401","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.1401","created_at":"2026-05-18T03:41:21Z"},{"alias_kind":"arxiv_version","alias_value":"1211.1401v1","created_at":"2026-05-18T03:41:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.1401","created_at":"2026-05-18T03:41:21Z"},{"alias_kind":"pith_short_12","alias_value":"IP2YFF52I2SF","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"IP2YFF52I2SFS4ET","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"IP2YFF52","created_at":"2026-05-18T12:27:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:IP2YFF52I2SFS4ET4G52XYBMYV","target":"record","payload":{"canonical_record":{"source":{"id":"1211.1401","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2012-11-06T21:17:01Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"2abe054552b568282dc4dd1b060d57361340c29b410eb0222f0d8638b1f2452d","abstract_canon_sha256":"b94d0032ad3f8653d0a413504aa7ccb3e8d2577976b1b71806fef4bf523a762d"},"schema_version":"1.0"},"canonical_sha256":"43f58297ba46a4597093e1bbabe02cc5480ac06da7eb78c05d18c42d1fe118e1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:41:21.023891Z","signature_b64":"3v8L9EzQp7BRoNCpoufukFeGy8u/1SfW/RNTaB9xsGqFvdO9f55SSmLts3JJ5ZiEydShH4FwF0oo/Z4RLeJDCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"43f58297ba46a4597093e1bbabe02cc5480ac06da7eb78c05d18c42d1fe118e1","last_reissued_at":"2026-05-18T03:41:21.023390Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:41:21.023390Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.1401","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":"2026-05-18T03:41:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FKttOIWADfLLy5/JbwF/d3jZy93l5svpQTpIF0ig0/liTATlhRoeiTC4M6YP4w6CKX3yKpShzKb+zmcIXCmCCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:36:26.878686Z"},"content_sha256":"a3d7443e1a7704140f08e5227e70a5a22ae2840da7c8ed9c3d5b37b51d745f98","schema_version":"1.0","event_id":"sha256:a3d7443e1a7704140f08e5227e70a5a22ae2840da7c8ed9c3d5b37b51d745f98"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:IP2YFF52I2SFS4ET4G52XYBMYV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Diffusion effects on a superconductive model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.supr-con","authors_text":"G. Fiore, M. de Angelis","submitted_at":"2012-11-06T21:17:01Z","abstract_excerpt":"A superconductive model characterized by a third order parabolic operator L\" is analysed. When the viscous terms, represented by higher - order deriva- tives, tend to zero, a hyperbolic operator L0 appears. Furthermore, if P\" is the Dirichlet initial boundary - value problem for L\", when L\" turns into L0; P\" turns into a problem P0 with the same initial - boundary conditions as P\". The solution of the nonlinear problem related to the remainder term r is achieved, as long as the higher-order derivatives of the solution of P0 are bounded. More- over, some classes of explicit solutions related to"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.1401","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":"2026-05-18T03:41:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ncVvDhlJWjzA4m48NLWjF/BBDJq3BSTa5Tq+haYZH7dHk72/dy+mNegkORRm7PfegFVKM2u9rxJhl9c+bNB/Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:36:26.879540Z"},"content_sha256":"839e4151c1771deb1173a700e86f23f50307405a58e296545abfa5380b51c5e0","schema_version":"1.0","event_id":"sha256:839e4151c1771deb1173a700e86f23f50307405a58e296545abfa5380b51c5e0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IP2YFF52I2SFS4ET4G52XYBMYV/bundle.json","state_url":"https://pith.science/pith/IP2YFF52I2SFS4ET4G52XYBMYV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IP2YFF52I2SFS4ET4G52XYBMYV/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":"2026-05-31T12:36:26Z","links":{"resolver":"https://pith.science/pith/IP2YFF52I2SFS4ET4G52XYBMYV","bundle":"https://pith.science/pith/IP2YFF52I2SFS4ET4G52XYBMYV/bundle.json","state":"https://pith.science/pith/IP2YFF52I2SFS4ET4G52XYBMYV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IP2YFF52I2SFS4ET4G52XYBMYV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:IP2YFF52I2SFS4ET4G52XYBMYV","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":"b94d0032ad3f8653d0a413504aa7ccb3e8d2577976b1b71806fef4bf523a762d","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2012-11-06T21:17:01Z","title_canon_sha256":"2abe054552b568282dc4dd1b060d57361340c29b410eb0222f0d8638b1f2452d"},"schema_version":"1.0","source":{"id":"1211.1401","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.1401","created_at":"2026-05-18T03:41:21Z"},{"alias_kind":"arxiv_version","alias_value":"1211.1401v1","created_at":"2026-05-18T03:41:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.1401","created_at":"2026-05-18T03:41:21Z"},{"alias_kind":"pith_short_12","alias_value":"IP2YFF52I2SF","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"IP2YFF52I2SFS4ET","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"IP2YFF52","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:839e4151c1771deb1173a700e86f23f50307405a58e296545abfa5380b51c5e0","target":"graph","created_at":"2026-05-18T03:41:21Z","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":"A superconductive model characterized by a third order parabolic operator L\" is analysed. When the viscous terms, represented by higher - order deriva- tives, tend to zero, a hyperbolic operator L0 appears. Furthermore, if P\" is the Dirichlet initial boundary - value problem for L\", when L\" turns into L0; P\" turns into a problem P0 with the same initial - boundary conditions as P\". The solution of the nonlinear problem related to the remainder term r is achieved, as long as the higher-order derivatives of the solution of P0 are bounded. More- over, some classes of explicit solutions related to","authors_text":"G. Fiore, M. de Angelis","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2012-11-06T21:17:01Z","title":"Diffusion effects on a superconductive model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.1401","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:a3d7443e1a7704140f08e5227e70a5a22ae2840da7c8ed9c3d5b37b51d745f98","target":"record","created_at":"2026-05-18T03:41:21Z","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":"b94d0032ad3f8653d0a413504aa7ccb3e8d2577976b1b71806fef4bf523a762d","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2012-11-06T21:17:01Z","title_canon_sha256":"2abe054552b568282dc4dd1b060d57361340c29b410eb0222f0d8638b1f2452d"},"schema_version":"1.0","source":{"id":"1211.1401","kind":"arxiv","version":1}},"canonical_sha256":"43f58297ba46a4597093e1bbabe02cc5480ac06da7eb78c05d18c42d1fe118e1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"43f58297ba46a4597093e1bbabe02cc5480ac06da7eb78c05d18c42d1fe118e1","first_computed_at":"2026-05-18T03:41:21.023390Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:41:21.023390Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3v8L9EzQp7BRoNCpoufukFeGy8u/1SfW/RNTaB9xsGqFvdO9f55SSmLts3JJ5ZiEydShH4FwF0oo/Z4RLeJDCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:41:21.023891Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.1401","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a3d7443e1a7704140f08e5227e70a5a22ae2840da7c8ed9c3d5b37b51d745f98","sha256:839e4151c1771deb1173a700e86f23f50307405a58e296545abfa5380b51c5e0"],"state_sha256":"094e4831dae9f126b9890809bbaf41ed7600f433d4d7c47e5bbb2fc8e44314f8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vQ5QSz8sTzjx49Ji1WxUvaiZC1ohv3oJsmLmPjDnhKS00Ufx0nfuM+n4D8rt2J1UyeNiq8fBhIP3DipBB0U2BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T12:36:26.884753Z","bundle_sha256":"d5c3d760daf184bf6a57fce25ce7a52ac5b241ea66f7c4b972a7877b86dc1419"}}