{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:GZUOET6PPLZZIYO2GL3FRR4DCP","short_pith_number":"pith:GZUOET6P","canonical_record":{"source":{"id":"1709.06791","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-20T09:55:13Z","cross_cats_sorted":[],"title_canon_sha256":"c5f8e77699a34baab77dd44373d2eb238fb86ee287aed0cce087805bbf14cc5f","abstract_canon_sha256":"e116a0e2b373274a63b363fd7adb83cda6080a1d675fe0d6bcbd76652268532c"},"schema_version":"1.0"},"canonical_sha256":"3668e24fcf7af39461da32f658c78313d442b4843baee111648f1f49a4cd56ad","source":{"kind":"arxiv","id":"1709.06791","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.06791","created_at":"2026-05-18T00:34:40Z"},{"alias_kind":"arxiv_version","alias_value":"1709.06791v1","created_at":"2026-05-18T00:34:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.06791","created_at":"2026-05-18T00:34:40Z"},{"alias_kind":"pith_short_12","alias_value":"GZUOET6PPLZZ","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"GZUOET6PPLZZIYO2","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"GZUOET6P","created_at":"2026-05-18T12:31:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:GZUOET6PPLZZIYO2GL3FRR4DCP","target":"record","payload":{"canonical_record":{"source":{"id":"1709.06791","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-20T09:55:13Z","cross_cats_sorted":[],"title_canon_sha256":"c5f8e77699a34baab77dd44373d2eb238fb86ee287aed0cce087805bbf14cc5f","abstract_canon_sha256":"e116a0e2b373274a63b363fd7adb83cda6080a1d675fe0d6bcbd76652268532c"},"schema_version":"1.0"},"canonical_sha256":"3668e24fcf7af39461da32f658c78313d442b4843baee111648f1f49a4cd56ad","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:34:40.460293Z","signature_b64":"WZI8d3jWd+vz1sD8706gKR81Oef8p6gObeKGSElpd/hiXtPd6HZfKolZroGyah1XjKyh18z9lrNyDvykKuSHBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3668e24fcf7af39461da32f658c78313d442b4843baee111648f1f49a4cd56ad","last_reissued_at":"2026-05-18T00:34:40.459731Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:34:40.459731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1709.06791","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":"2026-05-18T00:34:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CN5GUH7YXm8PQtxSYAG4j62t0WP7KkHs9QGla10S6+QxeghgO4CKQCKh94iBOaWIHqvH+RAzIjeX4wyIqK2bBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T05:53:40.694082Z"},"content_sha256":"79b1719b5e2cca4fc0cab75dbead6528dcc6f6bab47eab97a1a389c9e0daa7b1","schema_version":"1.0","event_id":"sha256:79b1719b5e2cca4fc0cab75dbead6528dcc6f6bab47eab97a1a389c9e0daa7b1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:GZUOET6PPLZZIYO2GL3FRR4DCP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Propagation of a Three-dimensional Weak Shock Front Using Kinematical Conservation Laws","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"K. R. Arun, Phoolan Prasad","submitted_at":"2017-09-20T09:55:13Z","abstract_excerpt":"In this paper we present a mathematical theory and a numerical method to study the propagation of a three-dimensional (3-D) weak shock front into a polytropic gas in a uniform state and at rest, though the method can be extended to shocks moving into nonuniform flows. The theory is based on the use of 3-D kinematical conservation laws (KCL), which govern the evolution of a surface in general and a shock front in particular. The 3-D KCL, derived purely on geometrical considerations, form an under-determined system of conservation laws. In the present paper the 3-D KCL system is closed by using "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.06791","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":"2026-05-18T00:34:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HgZUlfuykX1Q2nG2DDshe39YrrEHYfHcI2W7z944MQicsk6SGewUna7AapzuP8N3Le6EOQmlRYpXEx5ssEIPBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T05:53:40.694438Z"},"content_sha256":"f9ffac9f3a7b5716c6c8187c933ee7c573285e7726e3d80b4c1784d68965e588","schema_version":"1.0","event_id":"sha256:f9ffac9f3a7b5716c6c8187c933ee7c573285e7726e3d80b4c1784d68965e588"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GZUOET6PPLZZIYO2GL3FRR4DCP/bundle.json","state_url":"https://pith.science/pith/GZUOET6PPLZZIYO2GL3FRR4DCP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GZUOET6PPLZZIYO2GL3FRR4DCP/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":"2026-06-24T05:53:40Z","links":{"resolver":"https://pith.science/pith/GZUOET6PPLZZIYO2GL3FRR4DCP","bundle":"https://pith.science/pith/GZUOET6PPLZZIYO2GL3FRR4DCP/bundle.json","state":"https://pith.science/pith/GZUOET6PPLZZIYO2GL3FRR4DCP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GZUOET6PPLZZIYO2GL3FRR4DCP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:GZUOET6PPLZZIYO2GL3FRR4DCP","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":"e116a0e2b373274a63b363fd7adb83cda6080a1d675fe0d6bcbd76652268532c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-20T09:55:13Z","title_canon_sha256":"c5f8e77699a34baab77dd44373d2eb238fb86ee287aed0cce087805bbf14cc5f"},"schema_version":"1.0","source":{"id":"1709.06791","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.06791","created_at":"2026-05-18T00:34:40Z"},{"alias_kind":"arxiv_version","alias_value":"1709.06791v1","created_at":"2026-05-18T00:34:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.06791","created_at":"2026-05-18T00:34:40Z"},{"alias_kind":"pith_short_12","alias_value":"GZUOET6PPLZZ","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"GZUOET6PPLZZIYO2","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"GZUOET6P","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:f9ffac9f3a7b5716c6c8187c933ee7c573285e7726e3d80b4c1784d68965e588","target":"graph","created_at":"2026-05-18T00:34:40Z","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":"In this paper we present a mathematical theory and a numerical method to study the propagation of a three-dimensional (3-D) weak shock front into a polytropic gas in a uniform state and at rest, though the method can be extended to shocks moving into nonuniform flows. The theory is based on the use of 3-D kinematical conservation laws (KCL), which govern the evolution of a surface in general and a shock front in particular. The 3-D KCL, derived purely on geometrical considerations, form an under-determined system of conservation laws. In the present paper the 3-D KCL system is closed by using ","authors_text":"K. R. Arun, Phoolan Prasad","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-20T09:55:13Z","title":"Propagation of a Three-dimensional Weak Shock Front Using Kinematical Conservation Laws"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.06791","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":"sha256:79b1719b5e2cca4fc0cab75dbead6528dcc6f6bab47eab97a1a389c9e0daa7b1","target":"record","created_at":"2026-05-18T00:34:40Z","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":"e116a0e2b373274a63b363fd7adb83cda6080a1d675fe0d6bcbd76652268532c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-20T09:55:13Z","title_canon_sha256":"c5f8e77699a34baab77dd44373d2eb238fb86ee287aed0cce087805bbf14cc5f"},"schema_version":"1.0","source":{"id":"1709.06791","kind":"arxiv","version":1}},"canonical_sha256":"3668e24fcf7af39461da32f658c78313d442b4843baee111648f1f49a4cd56ad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3668e24fcf7af39461da32f658c78313d442b4843baee111648f1f49a4cd56ad","first_computed_at":"2026-05-18T00:34:40.459731Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:40.459731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WZI8d3jWd+vz1sD8706gKR81Oef8p6gObeKGSElpd/hiXtPd6HZfKolZroGyah1XjKyh18z9lrNyDvykKuSHBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:40.460293Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.06791","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:79b1719b5e2cca4fc0cab75dbead6528dcc6f6bab47eab97a1a389c9e0daa7b1","sha256:f9ffac9f3a7b5716c6c8187c933ee7c573285e7726e3d80b4c1784d68965e588"],"state_sha256":"bfe2c9b9fc00f187980ea4b2ba986d1df7a36edd3bdf3175660253af95f9c151"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jZs09C6HQJwKyTeADyxM3amqnm0jSqEd7D0viWa2azXLdCIMPlj672hvTZN9oMIEP0yhIGKp+qlcOzgudzD9DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T05:53:40.696517Z","bundle_sha256":"723daf3d1c78f28583695da13a85ddab87b0c74c1ebf4eddfeda42d1b7d6fbf6"}}