{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:LL7Y4OWWYBV5SMOLZPUE73AK4W","short_pith_number":"pith:LL7Y4OWW","canonical_record":{"source":{"id":"1312.3101","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2013-12-11T09:56:06Z","cross_cats_sorted":[],"title_canon_sha256":"85323d0a6d3ef8d011f5b4c12ce10f99d81767b88393d643451a0eb5ef492892","abstract_canon_sha256":"21b3b8e0ba257195fc1489b16c9b411f453442c5cdf4d5a31376a059d004ba9a"},"schema_version":"1.0"},"canonical_sha256":"5aff8e3ad6c06bd931cbcbe84fec0ae5a3d93842a7dbad5c2d6cd84ec3c015f1","source":{"kind":"arxiv","id":"1312.3101","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.3101","created_at":"2026-05-18T01:35:01Z"},{"alias_kind":"arxiv_version","alias_value":"1312.3101v2","created_at":"2026-05-18T01:35:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.3101","created_at":"2026-05-18T01:35:01Z"},{"alias_kind":"pith_short_12","alias_value":"LL7Y4OWWYBV5","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LL7Y4OWWYBV5SMOL","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LL7Y4OWW","created_at":"2026-05-18T12:27:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:LL7Y4OWWYBV5SMOLZPUE73AK4W","target":"record","payload":{"canonical_record":{"source":{"id":"1312.3101","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2013-12-11T09:56:06Z","cross_cats_sorted":[],"title_canon_sha256":"85323d0a6d3ef8d011f5b4c12ce10f99d81767b88393d643451a0eb5ef492892","abstract_canon_sha256":"21b3b8e0ba257195fc1489b16c9b411f453442c5cdf4d5a31376a059d004ba9a"},"schema_version":"1.0"},"canonical_sha256":"5aff8e3ad6c06bd931cbcbe84fec0ae5a3d93842a7dbad5c2d6cd84ec3c015f1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:01.193777Z","signature_b64":"VE5Uhbh0hb67hh2PgU85w63J69ljOUBHmpx/ClGS11Dn8dImpZDrww3Q3US9y47zZ3Ek/p6oyYA+Uev69otcBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5aff8e3ad6c06bd931cbcbe84fec0ae5a3d93842a7dbad5c2d6cd84ec3c015f1","last_reissued_at":"2026-05-18T01:35:01.193048Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:01.193048Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.3101","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":"2026-05-18T01:35:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ah2bhRAgzAQWkxqosnjt7Snv9OI4Uqb/XWK1AJIvwBZKea+BXPxNMxtRpYY7dpITtWRckjgtZBofYCOAZVlYBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T18:30:48.479180Z"},"content_sha256":"caf08e41a22eb2265f5d7f2549b250bf4b603bfe2625de196efb2657a0d3324e","schema_version":"1.0","event_id":"sha256:caf08e41a22eb2265f5d7f2549b250bf4b603bfe2625de196efb2657a0d3324e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:LL7Y4OWWYBV5SMOLZPUE73AK4W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Thermoacoustic instability - a dynamical system and time domain analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.comp-ph","authors_text":"Franck Richecoeur, Marc Massot, Peter Schmid, Taraneh Sayadi, Vincent Le Chenadec","submitted_at":"2013-12-11T09:56:06Z","abstract_excerpt":"This study focuses on the Rijke tube problem, which includes features relevant to the modeling of thermoacoustic coupling in reactive flows: a compact acoustic source, an empirical model for the heat source, and nonlinearities. This thermo-acoustic system features a complex dynamical behavior. In order to synthesize accurate time-series, we tackle this problem from a numerical point-of-view, and start by proposing a dedicated solver designed for dealing with the underlying stiffness, in particular, the retarded time and the discontinuity at the location of the heat source. Stability analysis i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.3101","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":"2026-05-18T01:35:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZhlzP6pHNUW6a9GsgqJTnzmVEcjxFiv0BiLqTnTg4YpFUbQLaMuhxNmMqhmFnqei4H1B2Ue2t9xOj34OoVT6Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T18:30:48.479926Z"},"content_sha256":"2eb6f183c99847858e8d703a691a067485ddf9447bd3133bbaae652bf42c1868","schema_version":"1.0","event_id":"sha256:2eb6f183c99847858e8d703a691a067485ddf9447bd3133bbaae652bf42c1868"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LL7Y4OWWYBV5SMOLZPUE73AK4W/bundle.json","state_url":"https://pith.science/pith/LL7Y4OWWYBV5SMOLZPUE73AK4W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LL7Y4OWWYBV5SMOLZPUE73AK4W/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":"2026-05-27T18:30:48Z","links":{"resolver":"https://pith.science/pith/LL7Y4OWWYBV5SMOLZPUE73AK4W","bundle":"https://pith.science/pith/LL7Y4OWWYBV5SMOLZPUE73AK4W/bundle.json","state":"https://pith.science/pith/LL7Y4OWWYBV5SMOLZPUE73AK4W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LL7Y4OWWYBV5SMOLZPUE73AK4W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:LL7Y4OWWYBV5SMOLZPUE73AK4W","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":"21b3b8e0ba257195fc1489b16c9b411f453442c5cdf4d5a31376a059d004ba9a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2013-12-11T09:56:06Z","title_canon_sha256":"85323d0a6d3ef8d011f5b4c12ce10f99d81767b88393d643451a0eb5ef492892"},"schema_version":"1.0","source":{"id":"1312.3101","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.3101","created_at":"2026-05-18T01:35:01Z"},{"alias_kind":"arxiv_version","alias_value":"1312.3101v2","created_at":"2026-05-18T01:35:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.3101","created_at":"2026-05-18T01:35:01Z"},{"alias_kind":"pith_short_12","alias_value":"LL7Y4OWWYBV5","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LL7Y4OWWYBV5SMOL","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LL7Y4OWW","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:2eb6f183c99847858e8d703a691a067485ddf9447bd3133bbaae652bf42c1868","target":"graph","created_at":"2026-05-18T01:35:01Z","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 study focuses on the Rijke tube problem, which includes features relevant to the modeling of thermoacoustic coupling in reactive flows: a compact acoustic source, an empirical model for the heat source, and nonlinearities. This thermo-acoustic system features a complex dynamical behavior. In order to synthesize accurate time-series, we tackle this problem from a numerical point-of-view, and start by proposing a dedicated solver designed for dealing with the underlying stiffness, in particular, the retarded time and the discontinuity at the location of the heat source. Stability analysis i","authors_text":"Franck Richecoeur, Marc Massot, Peter Schmid, Taraneh Sayadi, Vincent Le Chenadec","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2013-12-11T09:56:06Z","title":"Thermoacoustic instability - a dynamical system and time domain analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.3101","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:caf08e41a22eb2265f5d7f2549b250bf4b603bfe2625de196efb2657a0d3324e","target":"record","created_at":"2026-05-18T01:35:01Z","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":"21b3b8e0ba257195fc1489b16c9b411f453442c5cdf4d5a31376a059d004ba9a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2013-12-11T09:56:06Z","title_canon_sha256":"85323d0a6d3ef8d011f5b4c12ce10f99d81767b88393d643451a0eb5ef492892"},"schema_version":"1.0","source":{"id":"1312.3101","kind":"arxiv","version":2}},"canonical_sha256":"5aff8e3ad6c06bd931cbcbe84fec0ae5a3d93842a7dbad5c2d6cd84ec3c015f1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5aff8e3ad6c06bd931cbcbe84fec0ae5a3d93842a7dbad5c2d6cd84ec3c015f1","first_computed_at":"2026-05-18T01:35:01.193048Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:01.193048Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VE5Uhbh0hb67hh2PgU85w63J69ljOUBHmpx/ClGS11Dn8dImpZDrww3Q3US9y47zZ3Ek/p6oyYA+Uev69otcBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:01.193777Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.3101","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:caf08e41a22eb2265f5d7f2549b250bf4b603bfe2625de196efb2657a0d3324e","sha256:2eb6f183c99847858e8d703a691a067485ddf9447bd3133bbaae652bf42c1868"],"state_sha256":"5cd62a53d5f4b8874f9a1e315c8761959baf623ae0c2c4aba9251da17be2b750"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y0Ir5jzC4oxRu9xWyNGaKPP4znsxWH7vTWN5Bsldu9Yy6zeI3PolmZX/2CH4RqeIjwsHhFdvRSa8JxjzF+rQDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T18:30:48.483383Z","bundle_sha256":"d69cc0890551d57d9cb303b0bb510cd66c2ec54af1fef14ddc6e8e76c1b990b5"}}