{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:JKIVEWB7GD4OUYPWOH22CCN4AX","short_pith_number":"pith:JKIVEWB7","schema_version":"1.0","canonical_sha256":"4a9152583f30f8ea61f671f5a109bc05de82ea839d6aa3e27a8784505216a679","source":{"kind":"arxiv","id":"1109.6431","version":1},"attestation_state":"computed","paper":{"title":"Study of Anomalous Kinetics of The Annihilation Reaction A+A->0","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"J. Honkonen, M. Hnatich, T. Lu\\v{c}ivjansk\\'y","submitted_at":"2011-09-29T08:18:42Z","abstract_excerpt":"Using the perturbative renormalization group, we study the influence of a random velocity field on the kinetics of the single-species annihilation reaction A+A->0 at and below its critical dimension d_c=2. We use the second-quantization formalism of Doi to bring the stochastic problem to a field-theoretic form. We investigate the reaction in the vicinity of the space dimension d=2 using a two-parameter expansion in $\\epsilon$ and $\\Delta$, where $\\epsilon$ is the deviation from the Kolmogorov scaling parameter and $\\Delta$ is the deviation from the space dimension d=2. We evaluate all the nece"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1109.6431","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2011-09-29T08:18:42Z","cross_cats_sorted":[],"title_canon_sha256":"278c854b1fbb639334b77255a6aec0f73869153378e88427a55a64668f340ca8","abstract_canon_sha256":"8c82c88b9e93476c8f78cef47cda26f4591c19228e0bb160308902eec89ef77d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:00:21.697738Z","signature_b64":"VXMq/y07axWQ5xpJe4FzHnFK/cc/F4w93TPrJZ8nwil8jXc6JJnUqdtd0nbO4XvXkkX/i7h/2QdTDVgQ4IIPBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4a9152583f30f8ea61f671f5a109bc05de82ea839d6aa3e27a8784505216a679","last_reissued_at":"2026-05-18T02:00:21.697256Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:00:21.697256Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Study of Anomalous Kinetics of The Annihilation Reaction A+A->0","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"J. Honkonen, M. Hnatich, T. Lu\\v{c}ivjansk\\'y","submitted_at":"2011-09-29T08:18:42Z","abstract_excerpt":"Using the perturbative renormalization group, we study the influence of a random velocity field on the kinetics of the single-species annihilation reaction A+A->0 at and below its critical dimension d_c=2. We use the second-quantization formalism of Doi to bring the stochastic problem to a field-theoretic form. We investigate the reaction in the vicinity of the space dimension d=2 using a two-parameter expansion in $\\epsilon$ and $\\Delta$, where $\\epsilon$ is the deviation from the Kolmogorov scaling parameter and $\\Delta$ is the deviation from the space dimension d=2. We evaluate all the nece"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6431","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1109.6431","created_at":"2026-05-18T02:00:21.697352+00:00"},{"alias_kind":"arxiv_version","alias_value":"1109.6431v1","created_at":"2026-05-18T02:00:21.697352+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6431","created_at":"2026-05-18T02:00:21.697352+00:00"},{"alias_kind":"pith_short_12","alias_value":"JKIVEWB7GD4O","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_16","alias_value":"JKIVEWB7GD4OUYPW","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_8","alias_value":"JKIVEWB7","created_at":"2026-05-18T12:26:32.869790+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JKIVEWB7GD4OUYPWOH22CCN4AX","json":"https://pith.science/pith/JKIVEWB7GD4OUYPWOH22CCN4AX.json","graph_json":"https://pith.science/api/pith-number/JKIVEWB7GD4OUYPWOH22CCN4AX/graph.json","events_json":"https://pith.science/api/pith-number/JKIVEWB7GD4OUYPWOH22CCN4AX/events.json","paper":"https://pith.science/paper/JKIVEWB7"},"agent_actions":{"view_html":"https://pith.science/pith/JKIVEWB7GD4OUYPWOH22CCN4AX","download_json":"https://pith.science/pith/JKIVEWB7GD4OUYPWOH22CCN4AX.json","view_paper":"https://pith.science/paper/JKIVEWB7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1109.6431&json=true","fetch_graph":"https://pith.science/api/pith-number/JKIVEWB7GD4OUYPWOH22CCN4AX/graph.json","fetch_events":"https://pith.science/api/pith-number/JKIVEWB7GD4OUYPWOH22CCN4AX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JKIVEWB7GD4OUYPWOH22CCN4AX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JKIVEWB7GD4OUYPWOH22CCN4AX/action/storage_attestation","attest_author":"https://pith.science/pith/JKIVEWB7GD4OUYPWOH22CCN4AX/action/author_attestation","sign_citation":"https://pith.science/pith/JKIVEWB7GD4OUYPWOH22CCN4AX/action/citation_signature","submit_replication":"https://pith.science/pith/JKIVEWB7GD4OUYPWOH22CCN4AX/action/replication_record"}},"created_at":"2026-05-18T02:00:21.697352+00:00","updated_at":"2026-05-18T02:00:21.697352+00:00"}