{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:OSNBBOZE4F4CXANFCUCNPW3KO7","short_pith_number":"pith:OSNBBOZE","canonical_record":{"source":{"id":"1302.0117","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-02-01T09:48:43Z","cross_cats_sorted":[],"title_canon_sha256":"1ae9bb15306b41d58ce7f1653ddc18b67e797a939d100c395137ba692f688e06","abstract_canon_sha256":"30989df2dbc4625960de326d3a87070218b3c8f06f9eb98813e016d79c59f666"},"schema_version":"1.0"},"canonical_sha256":"749a10bb24e1782b81a51504d7db6a77dcd919a9f198c9a49a8892a2b2291ac3","source":{"kind":"arxiv","id":"1302.0117","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.0117","created_at":"2026-05-18T01:51:51Z"},{"alias_kind":"arxiv_version","alias_value":"1302.0117v1","created_at":"2026-05-18T01:51:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.0117","created_at":"2026-05-18T01:51:51Z"},{"alias_kind":"pith_short_12","alias_value":"OSNBBOZE4F4C","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"OSNBBOZE4F4CXANF","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"OSNBBOZE","created_at":"2026-05-18T12:27:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:OSNBBOZE4F4CXANFCUCNPW3KO7","target":"record","payload":{"canonical_record":{"source":{"id":"1302.0117","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-02-01T09:48:43Z","cross_cats_sorted":[],"title_canon_sha256":"1ae9bb15306b41d58ce7f1653ddc18b67e797a939d100c395137ba692f688e06","abstract_canon_sha256":"30989df2dbc4625960de326d3a87070218b3c8f06f9eb98813e016d79c59f666"},"schema_version":"1.0"},"canonical_sha256":"749a10bb24e1782b81a51504d7db6a77dcd919a9f198c9a49a8892a2b2291ac3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:51:51.501537Z","signature_b64":"xAlyZf57+AsFDO6Xm55QsakyNP2mq5Xr9230iVjgy2M8hi6WFvDz0SIlS3L4nE+XvUdeK3GmY9/g3vqtmi7qDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"749a10bb24e1782b81a51504d7db6a77dcd919a9f198c9a49a8892a2b2291ac3","last_reissued_at":"2026-05-18T01:51:51.500999Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:51:51.500999Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1302.0117","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":"2026-05-18T01:51:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xlxzz3q/HG74KCv2/rvEXqHBAVyOjwweH+9qqwJg6ymTtIJ6dcenoMGY2lU6/1EzPfl8UnCY2R1wagRCoLODAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T11:52:26.178199Z"},"content_sha256":"6c9cd87ac5ffc0b95204ec7a73eaabe83a54b3977483283db4c8b0e008a8bacc","schema_version":"1.0","event_id":"sha256:6c9cd87ac5ffc0b95204ec7a73eaabe83a54b3977483283db4c8b0e008a8bacc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:OSNBBOZE4F4CXANFCUCNPW3KO7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Effect of Compressibility on the Annihilation Process","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Juha Honkonen, Michal Hnati\\v{c}, Tom\\'a\\v{s} Lu\\v{c}ivjansk\\'y","submitted_at":"2013-02-01T09:48:43Z","abstract_excerpt":"Annihilation processes, where the reacting particles are influenced by some external advective field, are one of the simplest examples of nonlinear statistical systems. This type of processes can be observed in miscellaneous chemical, biological or physical systems. In low space dimensions usual description by means of kinetic rate equation is not sufficient and the effect of density fluctuations must be taken into ac- count. Using perturbative renormalization group we study the influ- ence of random velocity field on the kinetics of single-species annihila- tion reaction at and below its crit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.0117","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":"2026-05-18T01:51:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tl1uTjB9xXkkdfb/aDlYaOAIzoRjk+rwdSTY9IdPlxH9eUvXZi148F/C173Za9SWGFU3MjgVoJhWfa4wJN/hAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T11:52:26.178843Z"},"content_sha256":"acb0f13a35028d1befdfd9478870f664e405cc1d6c4b76dd48b22d73eac306be","schema_version":"1.0","event_id":"sha256:acb0f13a35028d1befdfd9478870f664e405cc1d6c4b76dd48b22d73eac306be"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OSNBBOZE4F4CXANFCUCNPW3KO7/bundle.json","state_url":"https://pith.science/pith/OSNBBOZE4F4CXANFCUCNPW3KO7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OSNBBOZE4F4CXANFCUCNPW3KO7/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":"2026-07-02T11:52:26Z","links":{"resolver":"https://pith.science/pith/OSNBBOZE4F4CXANFCUCNPW3KO7","bundle":"https://pith.science/pith/OSNBBOZE4F4CXANFCUCNPW3KO7/bundle.json","state":"https://pith.science/pith/OSNBBOZE4F4CXANFCUCNPW3KO7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OSNBBOZE4F4CXANFCUCNPW3KO7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:OSNBBOZE4F4CXANFCUCNPW3KO7","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":"30989df2dbc4625960de326d3a87070218b3c8f06f9eb98813e016d79c59f666","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-02-01T09:48:43Z","title_canon_sha256":"1ae9bb15306b41d58ce7f1653ddc18b67e797a939d100c395137ba692f688e06"},"schema_version":"1.0","source":{"id":"1302.0117","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.0117","created_at":"2026-05-18T01:51:51Z"},{"alias_kind":"arxiv_version","alias_value":"1302.0117v1","created_at":"2026-05-18T01:51:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.0117","created_at":"2026-05-18T01:51:51Z"},{"alias_kind":"pith_short_12","alias_value":"OSNBBOZE4F4C","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"OSNBBOZE4F4CXANF","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"OSNBBOZE","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:acb0f13a35028d1befdfd9478870f664e405cc1d6c4b76dd48b22d73eac306be","target":"graph","created_at":"2026-05-18T01:51:51Z","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":"Annihilation processes, where the reacting particles are influenced by some external advective field, are one of the simplest examples of nonlinear statistical systems. This type of processes can be observed in miscellaneous chemical, biological or physical systems. In low space dimensions usual description by means of kinetic rate equation is not sufficient and the effect of density fluctuations must be taken into ac- count. Using perturbative renormalization group we study the influ- ence of random velocity field on the kinetics of single-species annihila- tion reaction at and below its crit","authors_text":"Juha Honkonen, Michal Hnati\\v{c}, Tom\\'a\\v{s} Lu\\v{c}ivjansk\\'y","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-02-01T09:48:43Z","title":"Effect of Compressibility on the Annihilation Process"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.0117","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":"sha256:6c9cd87ac5ffc0b95204ec7a73eaabe83a54b3977483283db4c8b0e008a8bacc","target":"record","created_at":"2026-05-18T01:51:51Z","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":"30989df2dbc4625960de326d3a87070218b3c8f06f9eb98813e016d79c59f666","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-02-01T09:48:43Z","title_canon_sha256":"1ae9bb15306b41d58ce7f1653ddc18b67e797a939d100c395137ba692f688e06"},"schema_version":"1.0","source":{"id":"1302.0117","kind":"arxiv","version":1}},"canonical_sha256":"749a10bb24e1782b81a51504d7db6a77dcd919a9f198c9a49a8892a2b2291ac3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"749a10bb24e1782b81a51504d7db6a77dcd919a9f198c9a49a8892a2b2291ac3","first_computed_at":"2026-05-18T01:51:51.500999Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:51:51.500999Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xAlyZf57+AsFDO6Xm55QsakyNP2mq5Xr9230iVjgy2M8hi6WFvDz0SIlS3L4nE+XvUdeK3GmY9/g3vqtmi7qDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:51:51.501537Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.0117","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c9cd87ac5ffc0b95204ec7a73eaabe83a54b3977483283db4c8b0e008a8bacc","sha256:acb0f13a35028d1befdfd9478870f664e405cc1d6c4b76dd48b22d73eac306be"],"state_sha256":"bbef4a202ef4b330c4302d84375c917b75bac91f5508e588a22a4eec73f13527"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f8Un4dy7kZCBkp1PFQTwD4TGstZOSU6f9KHoIa0Y91GZ/PuaUKl/gVZVxwSHsGB4q37ufwHw8T4YVtysB0rpAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T11:52:26.180699Z","bundle_sha256":"51900c83e06937e37190617385979e55e86581e7b0454e2c6cd3383231a1c7a7"}}