{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:HPQBG6DGN6NTZY4TXXVLM6QRPY","short_pith_number":"pith:HPQBG6DG","canonical_record":{"source":{"id":"1112.3568","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2011-12-15T17:00:20Z","cross_cats_sorted":[],"title_canon_sha256":"4585e04498965eabd5c4cd593574962bc19dec5b24a25f6a8332ce8c87462cf7","abstract_canon_sha256":"53ee8a19df33f7fb52f9d218c5181a98263328eeeb8a08b5c40863bd20dc33b4"},"schema_version":"1.0"},"canonical_sha256":"3be01378666f9b3ce393bdeab67a117e220b19567e111e4f4beccb317b4712c1","source":{"kind":"arxiv","id":"1112.3568","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.3568","created_at":"2026-05-18T02:21:27Z"},{"alias_kind":"arxiv_version","alias_value":"1112.3568v5","created_at":"2026-05-18T02:21:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.3568","created_at":"2026-05-18T02:21:27Z"},{"alias_kind":"pith_short_12","alias_value":"HPQBG6DGN6NT","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"HPQBG6DGN6NTZY4T","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"HPQBG6DG","created_at":"2026-05-18T12:26:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:HPQBG6DGN6NTZY4TXXVLM6QRPY","target":"record","payload":{"canonical_record":{"source":{"id":"1112.3568","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2011-12-15T17:00:20Z","cross_cats_sorted":[],"title_canon_sha256":"4585e04498965eabd5c4cd593574962bc19dec5b24a25f6a8332ce8c87462cf7","abstract_canon_sha256":"53ee8a19df33f7fb52f9d218c5181a98263328eeeb8a08b5c40863bd20dc33b4"},"schema_version":"1.0"},"canonical_sha256":"3be01378666f9b3ce393bdeab67a117e220b19567e111e4f4beccb317b4712c1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:21:27.213220Z","signature_b64":"ur49DcQEfsYs3j1zBW2ICK3UAz2uOxcg59bBxFjX0awTMHdXn5jdmKhA44fbPilBlXZzfN+DJxFOanuh+1YhAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3be01378666f9b3ce393bdeab67a117e220b19567e111e4f4beccb317b4712c1","last_reissued_at":"2026-05-18T02:21:27.212567Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:21:27.212567Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.3568","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:21:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BCOwsFnC8PeeBJ2xqx8m5CqGVaOxg8EUcaAHLVE4zvzw/v9mvqgFuig7/sZTi1e0rKbRgG+6zzqMoFQ+4T1YBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T14:46:43.683298Z"},"content_sha256":"5e5a49c1264405d6bd52495acb5c39ed15b57977b27c15050198c3dace153019","schema_version":"1.0","event_id":"sha256:5e5a49c1264405d6bd52495acb5c39ed15b57977b27c15050198c3dace153019"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:HPQBG6DGN6NTZY4TXXVLM6QRPY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonlinear Krylov Acceleration Applied to a Discrete Ordinates Formulation of the k-Eigenvalue Problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.comp-ph","authors_text":"Erin D. Fichtl, James S. Warsa, Markus Berndt, Matthew T. Calef, Neil N. Carlson","submitted_at":"2011-12-15T17:00:20Z","abstract_excerpt":"We compare variants of Anderson Mixing with the Jacobian-Free Newton-Krylov and Broyden methods applied to an instance of the k-eigenvalue formulation of the linear Boltzmann transport equation. We present evidence that one variant of Anderson Mixing finds solutions in the fewest number of iterations. We examine and strengthen theoretical results of Anderson Mixing applied to linear problems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.3568","kind":"arxiv","version":5},"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":"2026-05-18T02:21:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qta1/IenPkjCpgYohDz7oJSpTfY+Q7Eh29GI1NGo4yd7Bl5+f4KLAlMk4G58z84VjOgCzJzu+YV+8JgyoSdpCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T14:46:43.683651Z"},"content_sha256":"081aa67fb11a5e63e9178647dfbbd284f0b99478025cbfd956ed76c3d08fa9e2","schema_version":"1.0","event_id":"sha256:081aa67fb11a5e63e9178647dfbbd284f0b99478025cbfd956ed76c3d08fa9e2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HPQBG6DGN6NTZY4TXXVLM6QRPY/bundle.json","state_url":"https://pith.science/pith/HPQBG6DGN6NTZY4TXXVLM6QRPY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HPQBG6DGN6NTZY4TXXVLM6QRPY/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":"2026-06-08T14:46:43Z","links":{"resolver":"https://pith.science/pith/HPQBG6DGN6NTZY4TXXVLM6QRPY","bundle":"https://pith.science/pith/HPQBG6DGN6NTZY4TXXVLM6QRPY/bundle.json","state":"https://pith.science/pith/HPQBG6DGN6NTZY4TXXVLM6QRPY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HPQBG6DGN6NTZY4TXXVLM6QRPY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:HPQBG6DGN6NTZY4TXXVLM6QRPY","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":"53ee8a19df33f7fb52f9d218c5181a98263328eeeb8a08b5c40863bd20dc33b4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2011-12-15T17:00:20Z","title_canon_sha256":"4585e04498965eabd5c4cd593574962bc19dec5b24a25f6a8332ce8c87462cf7"},"schema_version":"1.0","source":{"id":"1112.3568","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.3568","created_at":"2026-05-18T02:21:27Z"},{"alias_kind":"arxiv_version","alias_value":"1112.3568v5","created_at":"2026-05-18T02:21:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.3568","created_at":"2026-05-18T02:21:27Z"},{"alias_kind":"pith_short_12","alias_value":"HPQBG6DGN6NT","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"HPQBG6DGN6NTZY4T","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"HPQBG6DG","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:081aa67fb11a5e63e9178647dfbbd284f0b99478025cbfd956ed76c3d08fa9e2","target":"graph","created_at":"2026-05-18T02:21:27Z","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":"We compare variants of Anderson Mixing with the Jacobian-Free Newton-Krylov and Broyden methods applied to an instance of the k-eigenvalue formulation of the linear Boltzmann transport equation. We present evidence that one variant of Anderson Mixing finds solutions in the fewest number of iterations. We examine and strengthen theoretical results of Anderson Mixing applied to linear problems.","authors_text":"Erin D. Fichtl, James S. Warsa, Markus Berndt, Matthew T. Calef, Neil N. Carlson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2011-12-15T17:00:20Z","title":"Nonlinear Krylov Acceleration Applied to a Discrete Ordinates Formulation of the k-Eigenvalue Problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.3568","kind":"arxiv","version":5},"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":"sha256:5e5a49c1264405d6bd52495acb5c39ed15b57977b27c15050198c3dace153019","target":"record","created_at":"2026-05-18T02:21:27Z","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":"53ee8a19df33f7fb52f9d218c5181a98263328eeeb8a08b5c40863bd20dc33b4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2011-12-15T17:00:20Z","title_canon_sha256":"4585e04498965eabd5c4cd593574962bc19dec5b24a25f6a8332ce8c87462cf7"},"schema_version":"1.0","source":{"id":"1112.3568","kind":"arxiv","version":5}},"canonical_sha256":"3be01378666f9b3ce393bdeab67a117e220b19567e111e4f4beccb317b4712c1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3be01378666f9b3ce393bdeab67a117e220b19567e111e4f4beccb317b4712c1","first_computed_at":"2026-05-18T02:21:27.212567Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:21:27.212567Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ur49DcQEfsYs3j1zBW2ICK3UAz2uOxcg59bBxFjX0awTMHdXn5jdmKhA44fbPilBlXZzfN+DJxFOanuh+1YhAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:21:27.213220Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.3568","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5e5a49c1264405d6bd52495acb5c39ed15b57977b27c15050198c3dace153019","sha256:081aa67fb11a5e63e9178647dfbbd284f0b99478025cbfd956ed76c3d08fa9e2"],"state_sha256":"1b55428a4bd71b0cdd6a9824d89ba0ef7ade1701bda8b7191d89822e89b01951"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dIjF8SafcennCfzycGETl37ztgCFEKG9OjkKkUcEStnDSZWBHRdw4jbhQmbxRwuApi9a3md+AlQcjh5hULPIDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T14:46:43.685648Z","bundle_sha256":"90190da3f519ac8c85a076f931a3f9a04db95262ab615daa3db091486b1d53d8"}}