{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:IXVRJ3JBFMBQUNMW6N6BIJWM4W","short_pith_number":"pith:IXVRJ3JB","canonical_record":{"source":{"id":"1201.2912","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-01-13T18:49:57Z","cross_cats_sorted":["math.MP","physics.flu-dyn"],"title_canon_sha256":"e46f354de7db4bfcae1e0af983d006b4e351a45ab5b8c820875bf612c5563dbf","abstract_canon_sha256":"17fc8c1dd7c1cdd8e9d730c65d8f9f759a460fb648bef285c04a4e893a36ef0a"},"schema_version":"1.0"},"canonical_sha256":"45eb14ed212b030a3596f37c1426cce5945499b73fe075d75413eec9c4be46db","source":{"kind":"arxiv","id":"1201.2912","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.2912","created_at":"2026-05-18T04:04:42Z"},{"alias_kind":"arxiv_version","alias_value":"1201.2912v1","created_at":"2026-05-18T04:04:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.2912","created_at":"2026-05-18T04:04:42Z"},{"alias_kind":"pith_short_12","alias_value":"IXVRJ3JBFMBQ","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"IXVRJ3JBFMBQUNMW","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"IXVRJ3JB","created_at":"2026-05-18T12:27:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:IXVRJ3JBFMBQUNMW6N6BIJWM4W","target":"record","payload":{"canonical_record":{"source":{"id":"1201.2912","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-01-13T18:49:57Z","cross_cats_sorted":["math.MP","physics.flu-dyn"],"title_canon_sha256":"e46f354de7db4bfcae1e0af983d006b4e351a45ab5b8c820875bf612c5563dbf","abstract_canon_sha256":"17fc8c1dd7c1cdd8e9d730c65d8f9f759a460fb648bef285c04a4e893a36ef0a"},"schema_version":"1.0"},"canonical_sha256":"45eb14ed212b030a3596f37c1426cce5945499b73fe075d75413eec9c4be46db","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:04:42.925457Z","signature_b64":"hK9/t8eg3e69VQDNAY9XLa0EY7ckWNTwXd/EGadW/vxWhKQpVs6Yv7FSBzKLLxJ4oqwF5KwhumvdWqiD3VHgBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"45eb14ed212b030a3596f37c1426cce5945499b73fe075d75413eec9c4be46db","last_reissued_at":"2026-05-18T04:04:42.925046Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:04:42.925046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1201.2912","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":"2026-05-18T04:04:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X1iUCz5kMzrg0RbcX7gtcD2dBbqlB3HeHmCSzUpyIqsPhshPFJp2PnLVVOWU+EjxI9okPdadJ1k3PHPScc7zAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T04:40:45.407577Z"},"content_sha256":"8bd7b7770f1cdbbb87ed65f6af8e032c6599f80eb41683f12f7c15b4cc5ebcf2","schema_version":"1.0","event_id":"sha256:8bd7b7770f1cdbbb87ed65f6af8e032c6599f80eb41683f12f7c15b4cc5ebcf2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:IXVRJ3JBFMBQUNMW6N6BIJWM4W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dynamics of shock induced ignition in Fickett's model with chain-branching kinetics: influence of $\\chi$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","physics.flu-dyn"],"primary_cat":"math-ph","authors_text":"Justin Tang, Matei I. Radulescu","submitted_at":"2012-01-13T18:49:57Z","abstract_excerpt":"The problem of shock induced ignition by a piston is addressed in the framework of Fickett's model for reactive compressible flows, i.e., the reactive form of Burgers' equation. An induction-reaction two-step chain-branching model is used to study the coupling between the energy release and the compressible hydrodynamics occurring during the shock ignition transient leading to a detonation. Owing to the model's simplicity, the ignition and acceleration mechanism is explained using the two families of characteristics admitted by the model. The energy release along the particle paths provides th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.2912","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":"2026-05-18T04:04:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jvAUg9dxsHnB1/WfVi+NSxETi5TRwvCUJXx5RQFjQTqvm8U0ojemg2fzlNc4K71TEOWEjM6itnn/Ick40m7mAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T04:40:45.408330Z"},"content_sha256":"417d3c62ee57e8f0bd3350a6d9d6047146810a86ae73729a48a39a796f38cbad","schema_version":"1.0","event_id":"sha256:417d3c62ee57e8f0bd3350a6d9d6047146810a86ae73729a48a39a796f38cbad"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IXVRJ3JBFMBQUNMW6N6BIJWM4W/bundle.json","state_url":"https://pith.science/pith/IXVRJ3JBFMBQUNMW6N6BIJWM4W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IXVRJ3JBFMBQUNMW6N6BIJWM4W/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":"2026-06-08T04:40:45Z","links":{"resolver":"https://pith.science/pith/IXVRJ3JBFMBQUNMW6N6BIJWM4W","bundle":"https://pith.science/pith/IXVRJ3JBFMBQUNMW6N6BIJWM4W/bundle.json","state":"https://pith.science/pith/IXVRJ3JBFMBQUNMW6N6BIJWM4W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IXVRJ3JBFMBQUNMW6N6BIJWM4W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:IXVRJ3JBFMBQUNMW6N6BIJWM4W","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":"17fc8c1dd7c1cdd8e9d730c65d8f9f759a460fb648bef285c04a4e893a36ef0a","cross_cats_sorted":["math.MP","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-01-13T18:49:57Z","title_canon_sha256":"e46f354de7db4bfcae1e0af983d006b4e351a45ab5b8c820875bf612c5563dbf"},"schema_version":"1.0","source":{"id":"1201.2912","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.2912","created_at":"2026-05-18T04:04:42Z"},{"alias_kind":"arxiv_version","alias_value":"1201.2912v1","created_at":"2026-05-18T04:04:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.2912","created_at":"2026-05-18T04:04:42Z"},{"alias_kind":"pith_short_12","alias_value":"IXVRJ3JBFMBQ","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"IXVRJ3JBFMBQUNMW","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"IXVRJ3JB","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:417d3c62ee57e8f0bd3350a6d9d6047146810a86ae73729a48a39a796f38cbad","target":"graph","created_at":"2026-05-18T04:04:42Z","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":"The problem of shock induced ignition by a piston is addressed in the framework of Fickett's model for reactive compressible flows, i.e., the reactive form of Burgers' equation. An induction-reaction two-step chain-branching model is used to study the coupling between the energy release and the compressible hydrodynamics occurring during the shock ignition transient leading to a detonation. Owing to the model's simplicity, the ignition and acceleration mechanism is explained using the two families of characteristics admitted by the model. The energy release along the particle paths provides th","authors_text":"Justin Tang, Matei I. Radulescu","cross_cats":["math.MP","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-01-13T18:49:57Z","title":"Dynamics of shock induced ignition in Fickett's model with chain-branching kinetics: influence of $\\chi$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.2912","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":"sha256:8bd7b7770f1cdbbb87ed65f6af8e032c6599f80eb41683f12f7c15b4cc5ebcf2","target":"record","created_at":"2026-05-18T04:04:42Z","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":"17fc8c1dd7c1cdd8e9d730c65d8f9f759a460fb648bef285c04a4e893a36ef0a","cross_cats_sorted":["math.MP","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-01-13T18:49:57Z","title_canon_sha256":"e46f354de7db4bfcae1e0af983d006b4e351a45ab5b8c820875bf612c5563dbf"},"schema_version":"1.0","source":{"id":"1201.2912","kind":"arxiv","version":1}},"canonical_sha256":"45eb14ed212b030a3596f37c1426cce5945499b73fe075d75413eec9c4be46db","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"45eb14ed212b030a3596f37c1426cce5945499b73fe075d75413eec9c4be46db","first_computed_at":"2026-05-18T04:04:42.925046Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:04:42.925046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hK9/t8eg3e69VQDNAY9XLa0EY7ckWNTwXd/EGadW/vxWhKQpVs6Yv7FSBzKLLxJ4oqwF5KwhumvdWqiD3VHgBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:04:42.925457Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.2912","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8bd7b7770f1cdbbb87ed65f6af8e032c6599f80eb41683f12f7c15b4cc5ebcf2","sha256:417d3c62ee57e8f0bd3350a6d9d6047146810a86ae73729a48a39a796f38cbad"],"state_sha256":"a4fbfa1e3385dba581ac483a68ca35889db57b8f170a4baaa39fa905aa2eb5d4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T6HRUgwYLh9urkTZk/trz+ReN0/58+SIlJGn1HgyvcQT3AY7WnOoaC26fx3ZEvQpz1lL2hFGBJ6kVQon5vJLBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T04:40:45.412584Z","bundle_sha256":"16276d111f48f130ffc98f7a72b4a2f1dfa0003508c5c22c227b295329f0ec2b"}}