{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:JQ6LT7JXKPMSQVLHWDNLFHIOUU","short_pith_number":"pith:JQ6LT7JX","canonical_record":{"source":{"id":"1702.08505","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-02-18T04:11:05Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"949fcf55f436338fa930d5dda072cedf12e93f814c3b0ea86aa96277d739427e","abstract_canon_sha256":"b40f4a92eddad5514d398a81133187d02067670866c865c682bb9e1d31654595"},"schema_version":"1.0"},"canonical_sha256":"4c3cb9fd3753d9285567b0dab29d0ea52f01602caa129b3ad73a7ec9540a52c5","source":{"kind":"arxiv","id":"1702.08505","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.08505","created_at":"2026-05-18T00:49:48Z"},{"alias_kind":"arxiv_version","alias_value":"1702.08505v1","created_at":"2026-05-18T00:49:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.08505","created_at":"2026-05-18T00:49:48Z"},{"alias_kind":"pith_short_12","alias_value":"JQ6LT7JXKPMS","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"JQ6LT7JXKPMSQVLH","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"JQ6LT7JX","created_at":"2026-05-18T12:31:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:JQ6LT7JXKPMSQVLHWDNLFHIOUU","target":"record","payload":{"canonical_record":{"source":{"id":"1702.08505","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-02-18T04:11:05Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"949fcf55f436338fa930d5dda072cedf12e93f814c3b0ea86aa96277d739427e","abstract_canon_sha256":"b40f4a92eddad5514d398a81133187d02067670866c865c682bb9e1d31654595"},"schema_version":"1.0"},"canonical_sha256":"4c3cb9fd3753d9285567b0dab29d0ea52f01602caa129b3ad73a7ec9540a52c5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:48.532843Z","signature_b64":"rEjlu+rew1gj4oslBKsyYY5Sev7tssQg7vBnKfRSLFn48sFPiMPt8p852GoVd4Reu2Yw+ypVFzy8MPjQ6lAyAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4c3cb9fd3753d9285567b0dab29d0ea52f01602caa129b3ad73a7ec9540a52c5","last_reissued_at":"2026-05-18T00:49:48.532229Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:48.532229Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.08505","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":"2026-05-18T00:49:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ItXUlwYBvyYbndv11e4GVWFZotgBR6VJ2Vj7gUQZek3tAA4ulFF3+sGzamDgdQbZadLOsB/IOLi3nVskZJ9xBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T21:41:53.309341Z"},"content_sha256":"e6cdc2528fdcee5034bd1ac7800b7e79b1b2163289cd0ad013a236db3ebc8d9d","schema_version":"1.0","event_id":"sha256:e6cdc2528fdcee5034bd1ac7800b7e79b1b2163289cd0ad013a236db3ebc8d9d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:JQ6LT7JXKPMSQVLHWDNLFHIOUU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Large deviations for the rightmost position in a branching Brownian motion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Bernard Derrida, Zhan Shi","submitted_at":"2017-02-18T04:11:05Z","abstract_excerpt":"We study the lower deviation probability of the position of the rightmost particle in a branching Brownian motion and obtain its large deviation function"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.08505","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":"2026-05-18T00:49:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"40neV0JXlyJm45KqdONfJMIRy/Vs2q7MQJDvbkQwBpuS//bkw6Ai+fN328QDLiK/lWQJL+MYBYCA+jtFATvRBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T21:41:53.309752Z"},"content_sha256":"e610794b61050f4672666ad33aabbc87ada4d9682c3ba4dede5f6473fcf5c7b7","schema_version":"1.0","event_id":"sha256:e610794b61050f4672666ad33aabbc87ada4d9682c3ba4dede5f6473fcf5c7b7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JQ6LT7JXKPMSQVLHWDNLFHIOUU/bundle.json","state_url":"https://pith.science/pith/JQ6LT7JXKPMSQVLHWDNLFHIOUU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JQ6LT7JXKPMSQVLHWDNLFHIOUU/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":"2026-06-11T21:41:53Z","links":{"resolver":"https://pith.science/pith/JQ6LT7JXKPMSQVLHWDNLFHIOUU","bundle":"https://pith.science/pith/JQ6LT7JXKPMSQVLHWDNLFHIOUU/bundle.json","state":"https://pith.science/pith/JQ6LT7JXKPMSQVLHWDNLFHIOUU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JQ6LT7JXKPMSQVLHWDNLFHIOUU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:JQ6LT7JXKPMSQVLHWDNLFHIOUU","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":"b40f4a92eddad5514d398a81133187d02067670866c865c682bb9e1d31654595","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-02-18T04:11:05Z","title_canon_sha256":"949fcf55f436338fa930d5dda072cedf12e93f814c3b0ea86aa96277d739427e"},"schema_version":"1.0","source":{"id":"1702.08505","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.08505","created_at":"2026-05-18T00:49:48Z"},{"alias_kind":"arxiv_version","alias_value":"1702.08505v1","created_at":"2026-05-18T00:49:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.08505","created_at":"2026-05-18T00:49:48Z"},{"alias_kind":"pith_short_12","alias_value":"JQ6LT7JXKPMS","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"JQ6LT7JXKPMSQVLH","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"JQ6LT7JX","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:e610794b61050f4672666ad33aabbc87ada4d9682c3ba4dede5f6473fcf5c7b7","target":"graph","created_at":"2026-05-18T00:49:48Z","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 study the lower deviation probability of the position of the rightmost particle in a branching Brownian motion and obtain its large deviation function","authors_text":"Bernard Derrida, Zhan Shi","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-02-18T04:11:05Z","title":"Large deviations for the rightmost position in a branching Brownian motion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.08505","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:e6cdc2528fdcee5034bd1ac7800b7e79b1b2163289cd0ad013a236db3ebc8d9d","target":"record","created_at":"2026-05-18T00:49:48Z","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":"b40f4a92eddad5514d398a81133187d02067670866c865c682bb9e1d31654595","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-02-18T04:11:05Z","title_canon_sha256":"949fcf55f436338fa930d5dda072cedf12e93f814c3b0ea86aa96277d739427e"},"schema_version":"1.0","source":{"id":"1702.08505","kind":"arxiv","version":1}},"canonical_sha256":"4c3cb9fd3753d9285567b0dab29d0ea52f01602caa129b3ad73a7ec9540a52c5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4c3cb9fd3753d9285567b0dab29d0ea52f01602caa129b3ad73a7ec9540a52c5","first_computed_at":"2026-05-18T00:49:48.532229Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:48.532229Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rEjlu+rew1gj4oslBKsyYY5Sev7tssQg7vBnKfRSLFn48sFPiMPt8p852GoVd4Reu2Yw+ypVFzy8MPjQ6lAyAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:48.532843Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.08505","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e6cdc2528fdcee5034bd1ac7800b7e79b1b2163289cd0ad013a236db3ebc8d9d","sha256:e610794b61050f4672666ad33aabbc87ada4d9682c3ba4dede5f6473fcf5c7b7"],"state_sha256":"67f4e7db6043ece37a81484f02f386d7868ca0cb53d2ba191408f513429b63db"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+wwxslzkeaM8/XGxlaYQA/PDkH5F97DXBMShuuIMjjbiwEcOhXZIzynNFBZIOlZFTSRTsG9HEypuzkC06M2tBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T21:41:53.313229Z","bundle_sha256":"75c303e1f8526464185a55cdfb169a34b2b4973f53bad16232c6fb0b6e5e4aa3"}}