{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:EZD7L7FLTZZLTGVGJEYKNNX6PT","short_pith_number":"pith:EZD7L7FL","canonical_record":{"source":{"id":"1601.08070","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-01-29T11:59:04Z","cross_cats_sorted":[],"title_canon_sha256":"57ec9b5717eebb4e9d8dd0f3d001077616cba7c3a2890a1e4270c8d034ffb607","abstract_canon_sha256":"0066ac450e4739764da7c3af0c535ef6ac12570f30d08e2cd3b8f9e96c24c160"},"schema_version":"1.0"},"canonical_sha256":"2647f5fcab9e72b99aa64930a6b6fe7cc87dd653d59e61ee80e63e806c545042","source":{"kind":"arxiv","id":"1601.08070","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.08070","created_at":"2026-05-18T01:03:44Z"},{"alias_kind":"arxiv_version","alias_value":"1601.08070v1","created_at":"2026-05-18T01:03:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.08070","created_at":"2026-05-18T01:03:44Z"},{"alias_kind":"pith_short_12","alias_value":"EZD7L7FLTZZL","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"EZD7L7FLTZZLTGVG","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"EZD7L7FL","created_at":"2026-05-18T12:30:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:EZD7L7FLTZZLTGVGJEYKNNX6PT","target":"record","payload":{"canonical_record":{"source":{"id":"1601.08070","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-01-29T11:59:04Z","cross_cats_sorted":[],"title_canon_sha256":"57ec9b5717eebb4e9d8dd0f3d001077616cba7c3a2890a1e4270c8d034ffb607","abstract_canon_sha256":"0066ac450e4739764da7c3af0c535ef6ac12570f30d08e2cd3b8f9e96c24c160"},"schema_version":"1.0"},"canonical_sha256":"2647f5fcab9e72b99aa64930a6b6fe7cc87dd653d59e61ee80e63e806c545042","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:03:44.151188Z","signature_b64":"SZdhKG3vEottNj/h6yMxMJnHgaa92aMN3b8CVLkCDQ4ZVxHGVgnnhSc7PYsnWqR4/4bTP3dNmp4n/v2K1uvbCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2647f5fcab9e72b99aa64930a6b6fe7cc87dd653d59e61ee80e63e806c545042","last_reissued_at":"2026-05-18T01:03:44.150635Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:03:44.150635Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.08070","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":"2026-05-18T01:03:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t0BTgekuI8T89h+Crs8ni84TcG/0BrLsITtLKVIZqYOqHERoSsUobvLco6ae14V74O6V/sqIpyXaRDNWIL71CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T02:05:27.466538Z"},"content_sha256":"39778385c542026d270fe1770ef65b5fcf3f455a14db9136622d9a7dc5fc8568","schema_version":"1.0","event_id":"sha256:39778385c542026d270fe1770ef65b5fcf3f455a14db9136622d9a7dc5fc8568"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:EZD7L7FLTZZLTGVGJEYKNNX6PT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Large-displacement statistics of the rightmost particle of the one-dimensional branching Brownian motion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Baruch Meerson, Bernard Derrida, Pavel V. Sasorov","submitted_at":"2016-01-29T11:59:04Z","abstract_excerpt":"Consider a one-dimensional branching Brownian motion, and rescale the coordinate and time so that the rates of branching and diffusion are both equal to $1$. If $X_1(t)$ is the position of the rightmost particle of the branching Brownian motion at time $t$, the empirical velocity $c$ of this rightmost particle is defined as $c=X_1(t)/t$. Using the Fisher-KPP equation, we evaluate the probability distribution ${\\mathcal P(c,t)}$ of this empirical velocity $c$ in the long time $t$ limit for $c > 2$. It was already known that, for a single seed particle, ${\\mathcal P(c,t)} \\sim \\exp \\,[-(c^2/4-1)"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.08070","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":"2026-05-18T01:03:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AOSnNGuCpEOA5iEIE9oIDsM1bb7jawPteq1xZPQFTsn2FT5sp6ENHk+A43wMn468nEzcc5iXr+93oNGrlWp6AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T02:05:27.467291Z"},"content_sha256":"2a62fdbb2c4b9394a14cb6473ae919c61a914bf74660df1d48d3efea5244eacc","schema_version":"1.0","event_id":"sha256:2a62fdbb2c4b9394a14cb6473ae919c61a914bf74660df1d48d3efea5244eacc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EZD7L7FLTZZLTGVGJEYKNNX6PT/bundle.json","state_url":"https://pith.science/pith/EZD7L7FLTZZLTGVGJEYKNNX6PT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EZD7L7FLTZZLTGVGJEYKNNX6PT/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":"2026-06-08T02:05:27Z","links":{"resolver":"https://pith.science/pith/EZD7L7FLTZZLTGVGJEYKNNX6PT","bundle":"https://pith.science/pith/EZD7L7FLTZZLTGVGJEYKNNX6PT/bundle.json","state":"https://pith.science/pith/EZD7L7FLTZZLTGVGJEYKNNX6PT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EZD7L7FLTZZLTGVGJEYKNNX6PT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:EZD7L7FLTZZLTGVGJEYKNNX6PT","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":"0066ac450e4739764da7c3af0c535ef6ac12570f30d08e2cd3b8f9e96c24c160","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-01-29T11:59:04Z","title_canon_sha256":"57ec9b5717eebb4e9d8dd0f3d001077616cba7c3a2890a1e4270c8d034ffb607"},"schema_version":"1.0","source":{"id":"1601.08070","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.08070","created_at":"2026-05-18T01:03:44Z"},{"alias_kind":"arxiv_version","alias_value":"1601.08070v1","created_at":"2026-05-18T01:03:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.08070","created_at":"2026-05-18T01:03:44Z"},{"alias_kind":"pith_short_12","alias_value":"EZD7L7FLTZZL","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"EZD7L7FLTZZLTGVG","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"EZD7L7FL","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:2a62fdbb2c4b9394a14cb6473ae919c61a914bf74660df1d48d3efea5244eacc","target":"graph","created_at":"2026-05-18T01:03:44Z","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":"Consider a one-dimensional branching Brownian motion, and rescale the coordinate and time so that the rates of branching and diffusion are both equal to $1$. If $X_1(t)$ is the position of the rightmost particle of the branching Brownian motion at time $t$, the empirical velocity $c$ of this rightmost particle is defined as $c=X_1(t)/t$. Using the Fisher-KPP equation, we evaluate the probability distribution ${\\mathcal P(c,t)}$ of this empirical velocity $c$ in the long time $t$ limit for $c > 2$. It was already known that, for a single seed particle, ${\\mathcal P(c,t)} \\sim \\exp \\,[-(c^2/4-1)","authors_text":"Baruch Meerson, Bernard Derrida, Pavel V. Sasorov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-01-29T11:59:04Z","title":"Large-displacement statistics of the rightmost particle of the one-dimensional branching Brownian motion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.08070","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":"sha256:39778385c542026d270fe1770ef65b5fcf3f455a14db9136622d9a7dc5fc8568","target":"record","created_at":"2026-05-18T01:03:44Z","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":"0066ac450e4739764da7c3af0c535ef6ac12570f30d08e2cd3b8f9e96c24c160","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-01-29T11:59:04Z","title_canon_sha256":"57ec9b5717eebb4e9d8dd0f3d001077616cba7c3a2890a1e4270c8d034ffb607"},"schema_version":"1.0","source":{"id":"1601.08070","kind":"arxiv","version":1}},"canonical_sha256":"2647f5fcab9e72b99aa64930a6b6fe7cc87dd653d59e61ee80e63e806c545042","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2647f5fcab9e72b99aa64930a6b6fe7cc87dd653d59e61ee80e63e806c545042","first_computed_at":"2026-05-18T01:03:44.150635Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:03:44.150635Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SZdhKG3vEottNj/h6yMxMJnHgaa92aMN3b8CVLkCDQ4ZVxHGVgnnhSc7PYsnWqR4/4bTP3dNmp4n/v2K1uvbCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:03:44.151188Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.08070","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:39778385c542026d270fe1770ef65b5fcf3f455a14db9136622d9a7dc5fc8568","sha256:2a62fdbb2c4b9394a14cb6473ae919c61a914bf74660df1d48d3efea5244eacc"],"state_sha256":"88891c88eaaa7023f1e84ed04754887fd780638b90d993239c6212bff5b45825"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y6na8iuwku7ywHq2kBtLQqQt6nZHHhVnMurm/T+1aaUzGvj5RnmSo9Jet3kAh75MJ1pT2nrs1jQh2DSoogo7CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T02:05:27.471193Z","bundle_sha256":"a939cf8a64146a44cdb544ea9280cb4e35e25d48d290ac899e3954dee261eace"}}