{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:YV3DBV7DMAL35KRF6D5IZXKSAT","short_pith_number":"pith:YV3DBV7D","canonical_record":{"source":{"id":"1410.7236","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-10-27T13:49:20Z","cross_cats_sorted":[],"title_canon_sha256":"64b9482683c3a84eee3e0fc14e6caed95898fbda7b2fcbd19fad74212bea518b","abstract_canon_sha256":"bc7903796382ae51bb56a056fd6970e989354b4d9c11b1ea9ed60842f4751f1a"},"schema_version":"1.0"},"canonical_sha256":"c57630d7e36017beaa25f0fa8cdd5204e82a643ba588e63b0ee50e8ffbfaae5d","source":{"kind":"arxiv","id":"1410.7236","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.7236","created_at":"2026-05-18T02:39:17Z"},{"alias_kind":"arxiv_version","alias_value":"1410.7236v1","created_at":"2026-05-18T02:39:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.7236","created_at":"2026-05-18T02:39:17Z"},{"alias_kind":"pith_short_12","alias_value":"YV3DBV7DMAL3","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"YV3DBV7DMAL35KRF","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"YV3DBV7D","created_at":"2026-05-18T12:28:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:YV3DBV7DMAL35KRF6D5IZXKSAT","target":"record","payload":{"canonical_record":{"source":{"id":"1410.7236","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-10-27T13:49:20Z","cross_cats_sorted":[],"title_canon_sha256":"64b9482683c3a84eee3e0fc14e6caed95898fbda7b2fcbd19fad74212bea518b","abstract_canon_sha256":"bc7903796382ae51bb56a056fd6970e989354b4d9c11b1ea9ed60842f4751f1a"},"schema_version":"1.0"},"canonical_sha256":"c57630d7e36017beaa25f0fa8cdd5204e82a643ba588e63b0ee50e8ffbfaae5d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:39:17.761832Z","signature_b64":"bG+6W5LW2cMU8vPtuqdNFG3jIVQs1WZs7LSxOumm4v9P5GkX9dNCYGkYSogAT6bLCCt0aT8J5Zj6j5NWC+bTCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c57630d7e36017beaa25f0fa8cdd5204e82a643ba588e63b0ee50e8ffbfaae5d","last_reissued_at":"2026-05-18T02:39:17.761383Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:39:17.761383Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1410.7236","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":"2026-05-18T02:39:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dl/LP9C/S409P0oCc5MvQE1fpe6xH+P4oSb3qlFW1sC1w9Z4axaLaA3iYH5gQbZRDPt89CO9T9g7sB6ic6NBCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T16:25:30.326278Z"},"content_sha256":"19c366c308acaff2542a7fbbf376bf53d5d32fa36a6f34843f3e3c629dc813db","schema_version":"1.0","event_id":"sha256:19c366c308acaff2542a7fbbf376bf53d5d32fa36a6f34843f3e3c629dc813db"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:YV3DBV7DMAL35KRF6D5IZXKSAT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Solving the Linear 1D Thermoelasticity Equations with Pure Delay","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Denys Ya. Khusainov, Michael Pokojovy","submitted_at":"2014-10-27T13:49:20Z","abstract_excerpt":"We propose a system of partial differential equations with a single constant delay $\\tau > 0$ describing the behavior of a one-dimensional thermoelastic solid occupying a bounded interval of $\\mathbb{R}^{1}$. For an initial-boundary value problem associated with this system, we prove a global well-posedness result in a certain topology under appropriate regularity conditions on the data. Further, we show the solution of our delayed model to converge to the solution of the classical equations of thermoelasticity as $\\tau \\to 0$. Finally, we deduce an explicit solution representation for the del"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.7236","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":"2026-05-18T02:39:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7tGZegUs8fU7qjZD1xj9wpdNTWlJa/Ru2rx/9h+CqFveHhW8TyxHkKFLe3Ez0/xVlViij9QcgZ3/Zq7CyZIoAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T16:25:30.326967Z"},"content_sha256":"d6fb631a6b8268c3cc1e6e14737097f5c267cf23890e6260300b5a227ad21d10","schema_version":"1.0","event_id":"sha256:d6fb631a6b8268c3cc1e6e14737097f5c267cf23890e6260300b5a227ad21d10"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YV3DBV7DMAL35KRF6D5IZXKSAT/bundle.json","state_url":"https://pith.science/pith/YV3DBV7DMAL35KRF6D5IZXKSAT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YV3DBV7DMAL35KRF6D5IZXKSAT/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":"2026-05-25T16:25:30Z","links":{"resolver":"https://pith.science/pith/YV3DBV7DMAL35KRF6D5IZXKSAT","bundle":"https://pith.science/pith/YV3DBV7DMAL35KRF6D5IZXKSAT/bundle.json","state":"https://pith.science/pith/YV3DBV7DMAL35KRF6D5IZXKSAT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YV3DBV7DMAL35KRF6D5IZXKSAT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:YV3DBV7DMAL35KRF6D5IZXKSAT","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":"bc7903796382ae51bb56a056fd6970e989354b4d9c11b1ea9ed60842f4751f1a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-10-27T13:49:20Z","title_canon_sha256":"64b9482683c3a84eee3e0fc14e6caed95898fbda7b2fcbd19fad74212bea518b"},"schema_version":"1.0","source":{"id":"1410.7236","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.7236","created_at":"2026-05-18T02:39:17Z"},{"alias_kind":"arxiv_version","alias_value":"1410.7236v1","created_at":"2026-05-18T02:39:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.7236","created_at":"2026-05-18T02:39:17Z"},{"alias_kind":"pith_short_12","alias_value":"YV3DBV7DMAL3","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"YV3DBV7DMAL35KRF","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"YV3DBV7D","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:d6fb631a6b8268c3cc1e6e14737097f5c267cf23890e6260300b5a227ad21d10","target":"graph","created_at":"2026-05-18T02:39:17Z","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 propose a system of partial differential equations with a single constant delay $\\tau > 0$ describing the behavior of a one-dimensional thermoelastic solid occupying a bounded interval of $\\mathbb{R}^{1}$. For an initial-boundary value problem associated with this system, we prove a global well-posedness result in a certain topology under appropriate regularity conditions on the data. Further, we show the solution of our delayed model to converge to the solution of the classical equations of thermoelasticity as $\\tau \\to 0$. Finally, we deduce an explicit solution representation for the del","authors_text":"Denys Ya. Khusainov, Michael Pokojovy","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-10-27T13:49:20Z","title":"Solving the Linear 1D Thermoelasticity Equations with Pure Delay"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.7236","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":"sha256:19c366c308acaff2542a7fbbf376bf53d5d32fa36a6f34843f3e3c629dc813db","target":"record","created_at":"2026-05-18T02:39:17Z","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":"bc7903796382ae51bb56a056fd6970e989354b4d9c11b1ea9ed60842f4751f1a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-10-27T13:49:20Z","title_canon_sha256":"64b9482683c3a84eee3e0fc14e6caed95898fbda7b2fcbd19fad74212bea518b"},"schema_version":"1.0","source":{"id":"1410.7236","kind":"arxiv","version":1}},"canonical_sha256":"c57630d7e36017beaa25f0fa8cdd5204e82a643ba588e63b0ee50e8ffbfaae5d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c57630d7e36017beaa25f0fa8cdd5204e82a643ba588e63b0ee50e8ffbfaae5d","first_computed_at":"2026-05-18T02:39:17.761383Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:39:17.761383Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bG+6W5LW2cMU8vPtuqdNFG3jIVQs1WZs7LSxOumm4v9P5GkX9dNCYGkYSogAT6bLCCt0aT8J5Zj6j5NWC+bTCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:39:17.761832Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.7236","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:19c366c308acaff2542a7fbbf376bf53d5d32fa36a6f34843f3e3c629dc813db","sha256:d6fb631a6b8268c3cc1e6e14737097f5c267cf23890e6260300b5a227ad21d10"],"state_sha256":"5d33d158a5ead3a9694555eb9827bd08424b777d6846bd0c6ce17384e7871925"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j+eGo5WLzA5K2NXu+kA6Cz3ycnRFNFXnIrsb0tUeP81IFyaryKyoaqqcWFaQi62Es8vL4RPsYRl1dUmbLxYQDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T16:25:30.330384Z","bundle_sha256":"ea157eacc43367b2c4222f87971029c8d7dc08e66fc68fe2990a38422bccd910"}}