{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:2WKL6H53MCQLNLEB6RZXBP44QR","short_pith_number":"pith:2WKL6H53","canonical_record":{"source":{"id":"1610.08577","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-10-27T00:01:25Z","cross_cats_sorted":[],"title_canon_sha256":"44abfedda6ba590baa14a05557a1587a8a11836c84d77b9ecf72bdc6b7341c49","abstract_canon_sha256":"d24053d4c96a85f35adbc8f20c1231b3755bf647736034c0cad564d8f7075e82"},"schema_version":"1.0"},"canonical_sha256":"d594bf1fbb60a0b6ac81f47370bf9c845da7aa7c4eab59d45e69c01d2d7b1b5f","source":{"kind":"arxiv","id":"1610.08577","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.08577","created_at":"2026-05-18T00:14:57Z"},{"alias_kind":"arxiv_version","alias_value":"1610.08577v2","created_at":"2026-05-18T00:14:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.08577","created_at":"2026-05-18T00:14:57Z"},{"alias_kind":"pith_short_12","alias_value":"2WKL6H53MCQL","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"2WKL6H53MCQLNLEB","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"2WKL6H53","created_at":"2026-05-18T12:29:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:2WKL6H53MCQLNLEB6RZXBP44QR","target":"record","payload":{"canonical_record":{"source":{"id":"1610.08577","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-10-27T00:01:25Z","cross_cats_sorted":[],"title_canon_sha256":"44abfedda6ba590baa14a05557a1587a8a11836c84d77b9ecf72bdc6b7341c49","abstract_canon_sha256":"d24053d4c96a85f35adbc8f20c1231b3755bf647736034c0cad564d8f7075e82"},"schema_version":"1.0"},"canonical_sha256":"d594bf1fbb60a0b6ac81f47370bf9c845da7aa7c4eab59d45e69c01d2d7b1b5f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:14:57.334829Z","signature_b64":"YxolqE95mMJKpoqm0BdI34vQqLKwz3i3f+fNzN7CsBmpSYCEafDYOCYfYNmioLeYKBMyKKylqEVVSiQYXgZhCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d594bf1fbb60a0b6ac81f47370bf9c845da7aa7c4eab59d45e69c01d2d7b1b5f","last_reissued_at":"2026-05-18T00:14:57.334190Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:14:57.334190Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.08577","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":"2026-05-18T00:14:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lcoRN7L0cZdwD0yuv5mvhEyVMHuvL0F/MlPrQteKGjD5SKMM1bXUP6d/vxEIWzD5xfOdWhMZsbgupYYJf9+GDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T03:52:26.565731Z"},"content_sha256":"7ebe6f664f449ad1277e572343ef4f8a611ef31cace7bb28a9a795ebfb1daa80","schema_version":"1.0","event_id":"sha256:7ebe6f664f449ad1277e572343ef4f8a611ef31cace7bb28a9a795ebfb1daa80"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:2WKL6H53MCQLNLEB6RZXBP44QR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Time-dependence of the threshold function in the perfect plasticity model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Risei Kano, Takeshi Fukao","submitted_at":"2016-10-27T00:01:25Z","abstract_excerpt":"This paper discusses the time-dependence of the threshold function in the perfect plasticity model. In physical terms, it is natural that the threshold function depends on some unknown variable. Therefore, it is meaningful to discuss the well-posedness of this function under the weaker assumption of time-dependence. Time-dependence is also interesting from the viewpoint of the abstract evolution equation. To prove the existence of a solution to the perfect plasticity model, the recent abstract theory under the continuous class with respect to time is used."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.08577","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":"2026-05-18T00:14:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eVmRF5z9djRLWdEyANKugkmXh/326dNVIRRlVM9e+PwVv6Yo8hyLZWXptiaRkUgrN8NLgYk43C3x43nkl+CZAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T03:52:26.566287Z"},"content_sha256":"37da8bdabfdfe94e0e9e0effc4df8176c8befbb89f2e780b09653c2705da14da","schema_version":"1.0","event_id":"sha256:37da8bdabfdfe94e0e9e0effc4df8176c8befbb89f2e780b09653c2705da14da"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2WKL6H53MCQLNLEB6RZXBP44QR/bundle.json","state_url":"https://pith.science/pith/2WKL6H53MCQLNLEB6RZXBP44QR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2WKL6H53MCQLNLEB6RZXBP44QR/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":"2026-06-23T03:52:26Z","links":{"resolver":"https://pith.science/pith/2WKL6H53MCQLNLEB6RZXBP44QR","bundle":"https://pith.science/pith/2WKL6H53MCQLNLEB6RZXBP44QR/bundle.json","state":"https://pith.science/pith/2WKL6H53MCQLNLEB6RZXBP44QR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2WKL6H53MCQLNLEB6RZXBP44QR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:2WKL6H53MCQLNLEB6RZXBP44QR","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":"d24053d4c96a85f35adbc8f20c1231b3755bf647736034c0cad564d8f7075e82","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-10-27T00:01:25Z","title_canon_sha256":"44abfedda6ba590baa14a05557a1587a8a11836c84d77b9ecf72bdc6b7341c49"},"schema_version":"1.0","source":{"id":"1610.08577","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.08577","created_at":"2026-05-18T00:14:57Z"},{"alias_kind":"arxiv_version","alias_value":"1610.08577v2","created_at":"2026-05-18T00:14:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.08577","created_at":"2026-05-18T00:14:57Z"},{"alias_kind":"pith_short_12","alias_value":"2WKL6H53MCQL","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"2WKL6H53MCQLNLEB","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"2WKL6H53","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:37da8bdabfdfe94e0e9e0effc4df8176c8befbb89f2e780b09653c2705da14da","target":"graph","created_at":"2026-05-18T00:14:57Z","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":"This paper discusses the time-dependence of the threshold function in the perfect plasticity model. In physical terms, it is natural that the threshold function depends on some unknown variable. Therefore, it is meaningful to discuss the well-posedness of this function under the weaker assumption of time-dependence. Time-dependence is also interesting from the viewpoint of the abstract evolution equation. To prove the existence of a solution to the perfect plasticity model, the recent abstract theory under the continuous class with respect to time is used.","authors_text":"Risei Kano, Takeshi Fukao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-10-27T00:01:25Z","title":"Time-dependence of the threshold function in the perfect plasticity model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.08577","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":"sha256:7ebe6f664f449ad1277e572343ef4f8a611ef31cace7bb28a9a795ebfb1daa80","target":"record","created_at":"2026-05-18T00:14:57Z","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":"d24053d4c96a85f35adbc8f20c1231b3755bf647736034c0cad564d8f7075e82","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-10-27T00:01:25Z","title_canon_sha256":"44abfedda6ba590baa14a05557a1587a8a11836c84d77b9ecf72bdc6b7341c49"},"schema_version":"1.0","source":{"id":"1610.08577","kind":"arxiv","version":2}},"canonical_sha256":"d594bf1fbb60a0b6ac81f47370bf9c845da7aa7c4eab59d45e69c01d2d7b1b5f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d594bf1fbb60a0b6ac81f47370bf9c845da7aa7c4eab59d45e69c01d2d7b1b5f","first_computed_at":"2026-05-18T00:14:57.334190Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:57.334190Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YxolqE95mMJKpoqm0BdI34vQqLKwz3i3f+fNzN7CsBmpSYCEafDYOCYfYNmioLeYKBMyKKylqEVVSiQYXgZhCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:57.334829Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.08577","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7ebe6f664f449ad1277e572343ef4f8a611ef31cace7bb28a9a795ebfb1daa80","sha256:37da8bdabfdfe94e0e9e0effc4df8176c8befbb89f2e780b09653c2705da14da"],"state_sha256":"285c0e2043444ddef872f168be38a20ca22eaa8ca8cbde48e8aa36a7a04bd022"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rZ1NIrBSpuc4840Navtgu4MQJ1VU/7IRJ+SHoLEyqQ+ZN/fZow6BPF8dCQ7J+w5jHn2hT2PIaKuQMvpIR4zWCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T03:52:26.568943Z","bundle_sha256":"ce18859f1290d641cce83a550a7f7e2ec4fe34c2fb2401542b3f4bbab7d3b1e7"}}