{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:I65QPCO6CWZ2SASASBTB33G3MR","short_pith_number":"pith:I65QPCO6","canonical_record":{"source":{"id":"1208.4860","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-08-23T20:56:15Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"66121fa5923f6f7ca59d7bd8b57c1ab6f15cde38a243971c31498a0902df4a8e","abstract_canon_sha256":"a521b8f98014fcc88474931156fbafd58af5e8f9bd2137ae1237c5940b3bcf58"},"schema_version":"1.0"},"canonical_sha256":"47bb0789de15b3a9024090661decdb6449eb5b52bbf8e39091b79630969ff1c0","source":{"kind":"arxiv","id":"1208.4860","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.4860","created_at":"2026-05-18T02:59:18Z"},{"alias_kind":"arxiv_version","alias_value":"1208.4860v2","created_at":"2026-05-18T02:59:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.4860","created_at":"2026-05-18T02:59:18Z"},{"alias_kind":"pith_short_12","alias_value":"I65QPCO6CWZ2","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"I65QPCO6CWZ2SASA","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"I65QPCO6","created_at":"2026-05-18T12:27:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:I65QPCO6CWZ2SASASBTB33G3MR","target":"record","payload":{"canonical_record":{"source":{"id":"1208.4860","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-08-23T20:56:15Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"66121fa5923f6f7ca59d7bd8b57c1ab6f15cde38a243971c31498a0902df4a8e","abstract_canon_sha256":"a521b8f98014fcc88474931156fbafd58af5e8f9bd2137ae1237c5940b3bcf58"},"schema_version":"1.0"},"canonical_sha256":"47bb0789de15b3a9024090661decdb6449eb5b52bbf8e39091b79630969ff1c0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:59:18.788030Z","signature_b64":"flC0qGxY/eMJ84LY5QwsMXHbgtN/wb2Zbjnz4UjnJPQN0Ve2hKqz9rMtAxukfy1ftdhX0dHsKnjZA1HClFCRAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"47bb0789de15b3a9024090661decdb6449eb5b52bbf8e39091b79630969ff1c0","last_reissued_at":"2026-05-18T02:59:18.787174Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:59:18.787174Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1208.4860","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":"2026-05-18T02:59:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J86+vUosAtu2478pjaV0Z7YoWpMGLAZY0I+6nEr9gsn33LIeg+xiHjMJNQKxavkQLaoBsfWE9iRSU1F89fzSAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T18:48:07.779805Z"},"content_sha256":"7568ac780db8e38f1aa9cbbb0d062d39b91eb6780cc2557c5a4c40419366f949","schema_version":"1.0","event_id":"sha256:7568ac780db8e38f1aa9cbbb0d062d39b91eb6780cc2557c5a4c40419366f949"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:I65QPCO6CWZ2SASASBTB33G3MR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On a initial value problem arising in mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Dusan Zorica, Stevan Pilipovic, Teodor M. Atanackovic","submitted_at":"2012-08-23T20:56:15Z","abstract_excerpt":"We study initial value problem for a system consisting of an integer order and distributed-order fractional differential equation describing forced oscillations of a body attached to a free end of a light viscoelastic rod. Explicit form of a solution for a class of linear viscoelastic solids is given in terms of a convolution integral. Restrictions on storage and loss moduli following from the Second Law of Thermodynamics play the crucial role in establishing the form of the solution. Some previous results are shown to be special cases of the present analysis."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.4860","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":"2026-05-18T02:59:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CLZ1hekaRar/SuSNUxuLm/vlSMHFCeQasYZ2mE7hwB+r5nMgqRfb4ejwnH7gkm37MnMzxLBLeaxb0vAvbQkTDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T18:48:07.780169Z"},"content_sha256":"4be656a178d0d22e0639e8b46d90337ab7c89f15af8fc4b5bbbd8775b22528e2","schema_version":"1.0","event_id":"sha256:4be656a178d0d22e0639e8b46d90337ab7c89f15af8fc4b5bbbd8775b22528e2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I65QPCO6CWZ2SASASBTB33G3MR/bundle.json","state_url":"https://pith.science/pith/I65QPCO6CWZ2SASASBTB33G3MR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I65QPCO6CWZ2SASASBTB33G3MR/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":"2026-06-05T18:48:07Z","links":{"resolver":"https://pith.science/pith/I65QPCO6CWZ2SASASBTB33G3MR","bundle":"https://pith.science/pith/I65QPCO6CWZ2SASASBTB33G3MR/bundle.json","state":"https://pith.science/pith/I65QPCO6CWZ2SASASBTB33G3MR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I65QPCO6CWZ2SASASBTB33G3MR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:I65QPCO6CWZ2SASASBTB33G3MR","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":"a521b8f98014fcc88474931156fbafd58af5e8f9bd2137ae1237c5940b3bcf58","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-08-23T20:56:15Z","title_canon_sha256":"66121fa5923f6f7ca59d7bd8b57c1ab6f15cde38a243971c31498a0902df4a8e"},"schema_version":"1.0","source":{"id":"1208.4860","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.4860","created_at":"2026-05-18T02:59:18Z"},{"alias_kind":"arxiv_version","alias_value":"1208.4860v2","created_at":"2026-05-18T02:59:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.4860","created_at":"2026-05-18T02:59:18Z"},{"alias_kind":"pith_short_12","alias_value":"I65QPCO6CWZ2","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"I65QPCO6CWZ2SASA","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"I65QPCO6","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:4be656a178d0d22e0639e8b46d90337ab7c89f15af8fc4b5bbbd8775b22528e2","target":"graph","created_at":"2026-05-18T02:59:18Z","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 initial value problem for a system consisting of an integer order and distributed-order fractional differential equation describing forced oscillations of a body attached to a free end of a light viscoelastic rod. Explicit form of a solution for a class of linear viscoelastic solids is given in terms of a convolution integral. Restrictions on storage and loss moduli following from the Second Law of Thermodynamics play the crucial role in establishing the form of the solution. Some previous results are shown to be special cases of the present analysis.","authors_text":"Dusan Zorica, Stevan Pilipovic, Teodor M. Atanackovic","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-08-23T20:56:15Z","title":"On a initial value problem arising in mechanics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.4860","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":"sha256:7568ac780db8e38f1aa9cbbb0d062d39b91eb6780cc2557c5a4c40419366f949","target":"record","created_at":"2026-05-18T02:59:18Z","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":"a521b8f98014fcc88474931156fbafd58af5e8f9bd2137ae1237c5940b3bcf58","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-08-23T20:56:15Z","title_canon_sha256":"66121fa5923f6f7ca59d7bd8b57c1ab6f15cde38a243971c31498a0902df4a8e"},"schema_version":"1.0","source":{"id":"1208.4860","kind":"arxiv","version":2}},"canonical_sha256":"47bb0789de15b3a9024090661decdb6449eb5b52bbf8e39091b79630969ff1c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"47bb0789de15b3a9024090661decdb6449eb5b52bbf8e39091b79630969ff1c0","first_computed_at":"2026-05-18T02:59:18.787174Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:59:18.787174Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"flC0qGxY/eMJ84LY5QwsMXHbgtN/wb2Zbjnz4UjnJPQN0Ve2hKqz9rMtAxukfy1ftdhX0dHsKnjZA1HClFCRAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:59:18.788030Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.4860","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7568ac780db8e38f1aa9cbbb0d062d39b91eb6780cc2557c5a4c40419366f949","sha256:4be656a178d0d22e0639e8b46d90337ab7c89f15af8fc4b5bbbd8775b22528e2"],"state_sha256":"0e253303db4a034c949ab6d555c55f4f712f114e03787072017542911e566d07"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xYlU8lPFbyYPgvxPVywz3Gk6XfXeyZ+56SWd/72dE7r5BcvwNMvO+qjJRi+Ty+u11YNlvTtnqi+rxNtOBqZBDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T18:48:07.782158Z","bundle_sha256":"75b27ea226df674ecd7c624e2c3b738cc934015391ce5b0e1455e7f817d2be81"}}