{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:BQIMP4HM5R3VGHBIHW4S36GTPF","short_pith_number":"pith:BQIMP4HM","canonical_record":{"source":{"id":"1809.01553","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-09-05T14:45:35Z","cross_cats_sorted":[],"title_canon_sha256":"c1481eec5f15c438fbc5a58a92613a7b7461c02aeb89b10c19091428a3b942c9","abstract_canon_sha256":"4dbaf0023ad2878c805b777e7bd65faf5c375bcf4f7248ded7f1f08c8c115899"},"schema_version":"1.0"},"canonical_sha256":"0c10c7f0ecec77531c283db92df8d3795ff8a593f0bc8380b74449c148c67255","source":{"kind":"arxiv","id":"1809.01553","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.01553","created_at":"2026-05-17T23:42:29Z"},{"alias_kind":"arxiv_version","alias_value":"1809.01553v1","created_at":"2026-05-17T23:42:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.01553","created_at":"2026-05-17T23:42:29Z"},{"alias_kind":"pith_short_12","alias_value":"BQIMP4HM5R3V","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"BQIMP4HM5R3VGHBI","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"BQIMP4HM","created_at":"2026-05-18T12:32:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:BQIMP4HM5R3VGHBIHW4S36GTPF","target":"record","payload":{"canonical_record":{"source":{"id":"1809.01553","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-09-05T14:45:35Z","cross_cats_sorted":[],"title_canon_sha256":"c1481eec5f15c438fbc5a58a92613a7b7461c02aeb89b10c19091428a3b942c9","abstract_canon_sha256":"4dbaf0023ad2878c805b777e7bd65faf5c375bcf4f7248ded7f1f08c8c115899"},"schema_version":"1.0"},"canonical_sha256":"0c10c7f0ecec77531c283db92df8d3795ff8a593f0bc8380b74449c148c67255","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:42:29.741191Z","signature_b64":"LC4ZJcn5rAlf9DkvuBZESShhiA1l3vZEVfhiBucFfCoW2yud0lcOVQable57QkfvbYBmev3zQosMudofEvsTAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0c10c7f0ecec77531c283db92df8d3795ff8a593f0bc8380b74449c148c67255","last_reissued_at":"2026-05-17T23:42:29.740552Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:42:29.740552Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.01553","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":"2026-05-17T23:42:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lQOj27TxI1Z44Q1Y2tF/kVZXxK6/Ty6GOyUyjIgyutidCwkfHINLAieRMdScnmHNldJAv9ayAByjVyyE5QAiAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T11:12:34.122097Z"},"content_sha256":"d85beb0accdc9bc70fa612cff9009dc715444cbbaa1e4610ce716d0727d7946e","schema_version":"1.0","event_id":"sha256:d85beb0accdc9bc70fa612cff9009dc715444cbbaa1e4610ce716d0727d7946e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:BQIMP4HM5R3VGHBIHW4S36GTPF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Viscoelastic aspects of glass relaxation models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Daniela Sforza, Paola Loreti","submitted_at":"2018-09-05T14:45:35Z","abstract_excerpt":"We take advantage of the approximation of the stretched exponential function with a general Prony series in glass relaxation to give some results about the spectral analysis for the equation of viscoelasticity. Moreover, in the case of the Burgers model we carry out a complete investigation that leads to the representation of the solution."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.01553","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":"2026-05-17T23:42:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hijZkoLXZf2d/XI3YOdj/7BWC7ODaXniODQWQ2xC42SywH8BqcZ7cxTLCqfclq7nLBkYcMFZSJzuZMcXhTxtDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T11:12:34.122487Z"},"content_sha256":"d09abdd7ab867dc9fff212a38372bfc0f46d18e0018830ea9699286153ce4359","schema_version":"1.0","event_id":"sha256:d09abdd7ab867dc9fff212a38372bfc0f46d18e0018830ea9699286153ce4359"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BQIMP4HM5R3VGHBIHW4S36GTPF/bundle.json","state_url":"https://pith.science/pith/BQIMP4HM5R3VGHBIHW4S36GTPF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BQIMP4HM5R3VGHBIHW4S36GTPF/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":"2026-06-24T11:12:34Z","links":{"resolver":"https://pith.science/pith/BQIMP4HM5R3VGHBIHW4S36GTPF","bundle":"https://pith.science/pith/BQIMP4HM5R3VGHBIHW4S36GTPF/bundle.json","state":"https://pith.science/pith/BQIMP4HM5R3VGHBIHW4S36GTPF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BQIMP4HM5R3VGHBIHW4S36GTPF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:BQIMP4HM5R3VGHBIHW4S36GTPF","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":"4dbaf0023ad2878c805b777e7bd65faf5c375bcf4f7248ded7f1f08c8c115899","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-09-05T14:45:35Z","title_canon_sha256":"c1481eec5f15c438fbc5a58a92613a7b7461c02aeb89b10c19091428a3b942c9"},"schema_version":"1.0","source":{"id":"1809.01553","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.01553","created_at":"2026-05-17T23:42:29Z"},{"alias_kind":"arxiv_version","alias_value":"1809.01553v1","created_at":"2026-05-17T23:42:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.01553","created_at":"2026-05-17T23:42:29Z"},{"alias_kind":"pith_short_12","alias_value":"BQIMP4HM5R3V","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"BQIMP4HM5R3VGHBI","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"BQIMP4HM","created_at":"2026-05-18T12:32:16Z"}],"graph_snapshots":[{"event_id":"sha256:d09abdd7ab867dc9fff212a38372bfc0f46d18e0018830ea9699286153ce4359","target":"graph","created_at":"2026-05-17T23:42:29Z","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 take advantage of the approximation of the stretched exponential function with a general Prony series in glass relaxation to give some results about the spectral analysis for the equation of viscoelasticity. Moreover, in the case of the Burgers model we carry out a complete investigation that leads to the representation of the solution.","authors_text":"Daniela Sforza, Paola Loreti","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-09-05T14:45:35Z","title":"Viscoelastic aspects of glass relaxation models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.01553","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:d85beb0accdc9bc70fa612cff9009dc715444cbbaa1e4610ce716d0727d7946e","target":"record","created_at":"2026-05-17T23:42:29Z","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":"4dbaf0023ad2878c805b777e7bd65faf5c375bcf4f7248ded7f1f08c8c115899","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-09-05T14:45:35Z","title_canon_sha256":"c1481eec5f15c438fbc5a58a92613a7b7461c02aeb89b10c19091428a3b942c9"},"schema_version":"1.0","source":{"id":"1809.01553","kind":"arxiv","version":1}},"canonical_sha256":"0c10c7f0ecec77531c283db92df8d3795ff8a593f0bc8380b74449c148c67255","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0c10c7f0ecec77531c283db92df8d3795ff8a593f0bc8380b74449c148c67255","first_computed_at":"2026-05-17T23:42:29.740552Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:29.740552Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LC4ZJcn5rAlf9DkvuBZESShhiA1l3vZEVfhiBucFfCoW2yud0lcOVQable57QkfvbYBmev3zQosMudofEvsTAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:29.741191Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.01553","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d85beb0accdc9bc70fa612cff9009dc715444cbbaa1e4610ce716d0727d7946e","sha256:d09abdd7ab867dc9fff212a38372bfc0f46d18e0018830ea9699286153ce4359"],"state_sha256":"50eb5cad5c29637e26da29b628c7e26a81a81f69226a61aa5ffa62c5d7fee77c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yWYpj2IHri1ee1YgGhfH+pqV5qVyNUhQ3lE+WFSVYP1m2ew0q12TAbrTpWZhhwUHQ16QUHVLlZsUUZkMTFltDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T11:12:34.124392Z","bundle_sha256":"28fb5279706ce608aa6e6143fb3bb07aca8a98f50043a60b951194b2359b186c"}}