{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:N2ACNFHUIC6CHNT7UMMVYTN6DH","short_pith_number":"pith:N2ACNFHU","canonical_record":{"source":{"id":"astro-ph/0509698","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2005-09-22T19:50:03Z","cross_cats_sorted":[],"title_canon_sha256":"bdfe33fed35e7358be848d43524e2de644fb45203593feb93ad43e9d8a2eb876","abstract_canon_sha256":"20b5dcfb511eb9cd3de19d864adf8aa486a84b33afef36f4b5123f8032c39bdc"},"schema_version":"1.0"},"canonical_sha256":"6e802694f440bc23b67fa3195c4dbe19da65506b5c45121901e2f357d48d43f8","source":{"kind":"arxiv","id":"astro-ph/0509698","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0509698","created_at":"2026-05-18T01:07:30Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0509698v1","created_at":"2026-05-18T01:07:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0509698","created_at":"2026-05-18T01:07:30Z"},{"alias_kind":"pith_short_12","alias_value":"N2ACNFHUIC6C","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"N2ACNFHUIC6CHNT7","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"N2ACNFHU","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:N2ACNFHUIC6CHNT7UMMVYTN6DH","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/0509698","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2005-09-22T19:50:03Z","cross_cats_sorted":[],"title_canon_sha256":"bdfe33fed35e7358be848d43524e2de644fb45203593feb93ad43e9d8a2eb876","abstract_canon_sha256":"20b5dcfb511eb9cd3de19d864adf8aa486a84b33afef36f4b5123f8032c39bdc"},"schema_version":"1.0"},"canonical_sha256":"6e802694f440bc23b67fa3195c4dbe19da65506b5c45121901e2f357d48d43f8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:07:30.403288Z","signature_b64":"mDJvEify1ovIs5vLMo0Ts8/ZrdTckSosxTjq+uOPDLTO6q4hwLXRUwhKukdBIfET5gn0AjL2QPBVP7c8PzaiAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6e802694f440bc23b67fa3195c4dbe19da65506b5c45121901e2f357d48d43f8","last_reissued_at":"2026-05-18T01:07:30.402607Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:07:30.402607Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/0509698","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":"2026-05-18T01:07:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+lD9CRIWKyBONGrj45jF7wgR36y4EmICZ9r75oUN2WsN7B61WAEGRHtOs/we1RFbjS9Iu/YL1pRPdvdPAr7kCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T03:44:39.231395Z"},"content_sha256":"37aa5f0148f03e03a369cb674663b9163e38b4fa64619f66245dd28395e779ba","schema_version":"1.0","event_id":"sha256:37aa5f0148f03e03a369cb674663b9163e38b4fa64619f66245dd28395e779ba"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:N2ACNFHUIC6CHNT7UMMVYTN6DH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Thermonuclear Kinetics in Astrophysics","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"B.S. Meyer (Clemson U.), W.R. Hix (ORNL)","submitted_at":"2005-09-22T19:50:03Z","abstract_excerpt":"Over the billions of years since the Big Bang, the lives, deaths and afterlives of stars have enriched the Universe in the heavy elements that make up so much of ourselves and our world. This review summarizes the methods used to evolve these nuclear abundances within astrophysical simulations. These methods fall into 2 categories; evolution via rate equations and via equilibria. Because the rate equations in nucleosynthetic applications involve a wide range of timescales, implicit methods have proven mandatory, leading to the need to solve matrix equations. Efforts to improve the performance "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0509698","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":"2026-05-18T01:07:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MaC1pNWE4rOumAk/+GZTuGVTeWE1I5fdmPIXvpoiC7L5h0Bi+Q1q7roKDwR6biW7v4PL/gPjlHdE0KDvFGB7Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T03:44:39.231886Z"},"content_sha256":"e76373fbdb288b00acea99445970e8c6d350f3714c9043009e01252b520357ea","schema_version":"1.0","event_id":"sha256:e76373fbdb288b00acea99445970e8c6d350f3714c9043009e01252b520357ea"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N2ACNFHUIC6CHNT7UMMVYTN6DH/bundle.json","state_url":"https://pith.science/pith/N2ACNFHUIC6CHNT7UMMVYTN6DH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N2ACNFHUIC6CHNT7UMMVYTN6DH/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":"2026-08-03T03:44:39Z","links":{"resolver":"https://pith.science/pith/N2ACNFHUIC6CHNT7UMMVYTN6DH","bundle":"https://pith.science/pith/N2ACNFHUIC6CHNT7UMMVYTN6DH/bundle.json","state":"https://pith.science/pith/N2ACNFHUIC6CHNT7UMMVYTN6DH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N2ACNFHUIC6CHNT7UMMVYTN6DH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:N2ACNFHUIC6CHNT7UMMVYTN6DH","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":"20b5dcfb511eb9cd3de19d864adf8aa486a84b33afef36f4b5123f8032c39bdc","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2005-09-22T19:50:03Z","title_canon_sha256":"bdfe33fed35e7358be848d43524e2de644fb45203593feb93ad43e9d8a2eb876"},"schema_version":"1.0","source":{"id":"astro-ph/0509698","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0509698","created_at":"2026-05-18T01:07:30Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0509698v1","created_at":"2026-05-18T01:07:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0509698","created_at":"2026-05-18T01:07:30Z"},{"alias_kind":"pith_short_12","alias_value":"N2ACNFHUIC6C","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"N2ACNFHUIC6CHNT7","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"N2ACNFHU","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:e76373fbdb288b00acea99445970e8c6d350f3714c9043009e01252b520357ea","target":"graph","created_at":"2026-05-18T01:07:30Z","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":"Over the billions of years since the Big Bang, the lives, deaths and afterlives of stars have enriched the Universe in the heavy elements that make up so much of ourselves and our world. This review summarizes the methods used to evolve these nuclear abundances within astrophysical simulations. These methods fall into 2 categories; evolution via rate equations and via equilibria. Because the rate equations in nucleosynthetic applications involve a wide range of timescales, implicit methods have proven mandatory, leading to the need to solve matrix equations. Efforts to improve the performance ","authors_text":"B.S. Meyer (Clemson U.), W.R. Hix (ORNL)","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2005-09-22T19:50:03Z","title":"Thermonuclear Kinetics in Astrophysics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0509698","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":"sha256:37aa5f0148f03e03a369cb674663b9163e38b4fa64619f66245dd28395e779ba","target":"record","created_at":"2026-05-18T01:07:30Z","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":"20b5dcfb511eb9cd3de19d864adf8aa486a84b33afef36f4b5123f8032c39bdc","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2005-09-22T19:50:03Z","title_canon_sha256":"bdfe33fed35e7358be848d43524e2de644fb45203593feb93ad43e9d8a2eb876"},"schema_version":"1.0","source":{"id":"astro-ph/0509698","kind":"arxiv","version":1}},"canonical_sha256":"6e802694f440bc23b67fa3195c4dbe19da65506b5c45121901e2f357d48d43f8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6e802694f440bc23b67fa3195c4dbe19da65506b5c45121901e2f357d48d43f8","first_computed_at":"2026-05-18T01:07:30.402607Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:07:30.402607Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mDJvEify1ovIs5vLMo0Ts8/ZrdTckSosxTjq+uOPDLTO6q4hwLXRUwhKukdBIfET5gn0AjL2QPBVP7c8PzaiAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:07:30.403288Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/0509698","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:37aa5f0148f03e03a369cb674663b9163e38b4fa64619f66245dd28395e779ba","sha256:e76373fbdb288b00acea99445970e8c6d350f3714c9043009e01252b520357ea"],"state_sha256":"b6017c482b0be1d414876f8508116c7e32ded9a738f601ba0f00bd1e5ecda89d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4yWTX0tAorbEToYvFhiJgeTPhWQB7+cbUU9DsxLwGXS6fHrtC7OhHZBqyVjdbC50JDu2ayayD8dJMhCjYkKZDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T03:44:39.238015Z","bundle_sha256":"289605bed0ae35d84ee315425abbc08cca4e9aacaa4632d5528354cca5969347"}}