{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:RDC2MQ6FVFCS5HLPTI23OMFVG2","short_pith_number":"pith:RDC2MQ6F","canonical_record":{"source":{"id":"1312.2340","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-12-09T08:44:55Z","cross_cats_sorted":[],"title_canon_sha256":"7369f6b12452d731817a79eb7cdc8a637eb0547e13b333d07b44d19e25bf762d","abstract_canon_sha256":"ea5aeb3225de59b95ab43ee02e59bb9e4cd2307c7d19d2352952d9ba0350c28d"},"schema_version":"1.0"},"canonical_sha256":"88c5a643c5a9452e9d6f9a35b730b536864c1fdfc7b4c8d6a25c3eb4a1deac24","source":{"kind":"arxiv","id":"1312.2340","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.2340","created_at":"2026-05-18T00:30:09Z"},{"alias_kind":"arxiv_version","alias_value":"1312.2340v3","created_at":"2026-05-18T00:30:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.2340","created_at":"2026-05-18T00:30:09Z"},{"alias_kind":"pith_short_12","alias_value":"RDC2MQ6FVFCS","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"RDC2MQ6FVFCS5HLP","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"RDC2MQ6F","created_at":"2026-05-18T12:27:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:RDC2MQ6FVFCS5HLPTI23OMFVG2","target":"record","payload":{"canonical_record":{"source":{"id":"1312.2340","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-12-09T08:44:55Z","cross_cats_sorted":[],"title_canon_sha256":"7369f6b12452d731817a79eb7cdc8a637eb0547e13b333d07b44d19e25bf762d","abstract_canon_sha256":"ea5aeb3225de59b95ab43ee02e59bb9e4cd2307c7d19d2352952d9ba0350c28d"},"schema_version":"1.0"},"canonical_sha256":"88c5a643c5a9452e9d6f9a35b730b536864c1fdfc7b4c8d6a25c3eb4a1deac24","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:30:09.734759Z","signature_b64":"76FxCTNfqHOBeDKBETSBQuJtZciHmYHUldcos8dpSU+hCNAAixhkcjvod+orBK9JeJdEKeirBNCd5QquWIMTDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"88c5a643c5a9452e9d6f9a35b730b536864c1fdfc7b4c8d6a25c3eb4a1deac24","last_reissued_at":"2026-05-18T00:30:09.734070Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:30:09.734070Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.2340","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:30:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wt/15jogBlq7pHOiUkzJezZXdFV8NBAbmnXlhUFEfkVWWsnxtdW4tw7OJAbfzDWfXHwMt6iG/UIwM1S6uo0CBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T02:23:53.067511Z"},"content_sha256":"01dd9d6f220f147adb9e808aba02d33380896f520dcc8a154ea954fec878d18c","schema_version":"1.0","event_id":"sha256:01dd9d6f220f147adb9e808aba02d33380896f520dcc8a154ea954fec878d18c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:RDC2MQ6FVFCS5HLPTI23OMFVG2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scaling limit of a limit order book model via the regenerative characterization of L\\'evy trees","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Florian Simatos, Josh Reed, Peter Lakner","submitted_at":"2013-12-09T08:44:55Z","abstract_excerpt":"We consider the following Markovian dynamic on point processes: at constant rate and with equal probability, either the rightmost atom of the current configuration is removed, or a new atom is added at a random distance from the rightmost atom. Interpreting atoms as limit buy orders, this process was introduced by Lakner et al. to model a one-sided limit order book. \nWe consider this model in the regime where the total number of orders converges to a reflected Brownian motion, and complement the results of Lakner et al. by showing that, in the case where the mean displacement at which a new or"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.2340","kind":"arxiv","version":3},"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":"2026-05-18T00:30:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MiGQj8Wo4nYqyeTMbe8TIYUC9+Jk7l6krEXuyV6fGokXlRtrH+bcPX0nBajtibLSRtHgD1pBf/euOkfYuY8QDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T02:23:53.068034Z"},"content_sha256":"a437981ec257a03a7369535db3be34a193929720636f9a59256ed088b2703d6a","schema_version":"1.0","event_id":"sha256:a437981ec257a03a7369535db3be34a193929720636f9a59256ed088b2703d6a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RDC2MQ6FVFCS5HLPTI23OMFVG2/bundle.json","state_url":"https://pith.science/pith/RDC2MQ6FVFCS5HLPTI23OMFVG2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RDC2MQ6FVFCS5HLPTI23OMFVG2/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":"2026-06-21T02:23:53Z","links":{"resolver":"https://pith.science/pith/RDC2MQ6FVFCS5HLPTI23OMFVG2","bundle":"https://pith.science/pith/RDC2MQ6FVFCS5HLPTI23OMFVG2/bundle.json","state":"https://pith.science/pith/RDC2MQ6FVFCS5HLPTI23OMFVG2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RDC2MQ6FVFCS5HLPTI23OMFVG2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:RDC2MQ6FVFCS5HLPTI23OMFVG2","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":"ea5aeb3225de59b95ab43ee02e59bb9e4cd2307c7d19d2352952d9ba0350c28d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-12-09T08:44:55Z","title_canon_sha256":"7369f6b12452d731817a79eb7cdc8a637eb0547e13b333d07b44d19e25bf762d"},"schema_version":"1.0","source":{"id":"1312.2340","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.2340","created_at":"2026-05-18T00:30:09Z"},{"alias_kind":"arxiv_version","alias_value":"1312.2340v3","created_at":"2026-05-18T00:30:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.2340","created_at":"2026-05-18T00:30:09Z"},{"alias_kind":"pith_short_12","alias_value":"RDC2MQ6FVFCS","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"RDC2MQ6FVFCS5HLP","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"RDC2MQ6F","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:a437981ec257a03a7369535db3be34a193929720636f9a59256ed088b2703d6a","target":"graph","created_at":"2026-05-18T00:30:09Z","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 consider the following Markovian dynamic on point processes: at constant rate and with equal probability, either the rightmost atom of the current configuration is removed, or a new atom is added at a random distance from the rightmost atom. Interpreting atoms as limit buy orders, this process was introduced by Lakner et al. to model a one-sided limit order book. \nWe consider this model in the regime where the total number of orders converges to a reflected Brownian motion, and complement the results of Lakner et al. by showing that, in the case where the mean displacement at which a new or","authors_text":"Florian Simatos, Josh Reed, Peter Lakner","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-12-09T08:44:55Z","title":"Scaling limit of a limit order book model via the regenerative characterization of L\\'evy trees"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.2340","kind":"arxiv","version":3},"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":"sha256:01dd9d6f220f147adb9e808aba02d33380896f520dcc8a154ea954fec878d18c","target":"record","created_at":"2026-05-18T00:30:09Z","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":"ea5aeb3225de59b95ab43ee02e59bb9e4cd2307c7d19d2352952d9ba0350c28d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-12-09T08:44:55Z","title_canon_sha256":"7369f6b12452d731817a79eb7cdc8a637eb0547e13b333d07b44d19e25bf762d"},"schema_version":"1.0","source":{"id":"1312.2340","kind":"arxiv","version":3}},"canonical_sha256":"88c5a643c5a9452e9d6f9a35b730b536864c1fdfc7b4c8d6a25c3eb4a1deac24","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"88c5a643c5a9452e9d6f9a35b730b536864c1fdfc7b4c8d6a25c3eb4a1deac24","first_computed_at":"2026-05-18T00:30:09.734070Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:30:09.734070Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"76FxCTNfqHOBeDKBETSBQuJtZciHmYHUldcos8dpSU+hCNAAixhkcjvod+orBK9JeJdEKeirBNCd5QquWIMTDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:30:09.734759Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.2340","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:01dd9d6f220f147adb9e808aba02d33380896f520dcc8a154ea954fec878d18c","sha256:a437981ec257a03a7369535db3be34a193929720636f9a59256ed088b2703d6a"],"state_sha256":"a6b177cf6b642d5e3610fd87f953f2cd4b672d4ff9b9818a7cc44529009f8cb5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eNRIANelIpT30zlyi4Fx4zx9U6fSdIKHlxY4UanhwVHhw2DWMZLSZ4n1jWhCPHxTUrVhJk3UAzEnzGjIgb5yDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T02:23:53.070476Z","bundle_sha256":"1eccd20ea19aa4e0c5e17d7cb5f0e5ddeb38cd5a9eab2c11acbe05d88a35c1d7"}}