Pith Number

pith:RNXOO4NW

pith:2013:RNXOO4NWVWG6WQT4YZNNG7YAEE

not attested not anchored not stored refs pending

Branching Brownian Motion with catalytic branching at the origin

Sergey Bocharov, Simon C. Harris

arxiv:1302.4087 v1 · 2013-02-17 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RNXOO4NWVWG6WQT4YZNNG7YAEE}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:33:24.206054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b6ee771b6ad8deb427cc65ad37f00213353b86f4ce27a10a1f58902f8ab8023

Aliases

arxiv: 1302.4087 · arxiv_version: 1302.4087v1 · doi: 10.48550/arxiv.1302.4087 · pith_short_12: RNXOO4NWVWG6 · pith_short_16: RNXOO4NWVWG6WQT4 · pith_short_8: RNXOO4NW

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/RNXOO4NWVWG6WQT4YZNNG7YAEE \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 8b6ee771b6ad8deb427cc65ad37f00213353b86f4ce27a10a1f58902f8ab8023

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a606acd5d3b00a0d5d8069eb86354510a8b4747ac02a92d552147742697d4f3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-02-17T16:51:28Z",
    "title_canon_sha256": "755739bb7e742c562aadee74f07f9cbedef9c713e0b9e0c6ff89cb66fed7afef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4087",
    "kind": "arxiv",
    "version": 1
  }
}