Pith Number

pith:NCOXRKZM

pith:2012:NCOXRKZMEF6RMQAHVZ3Z36WD5R

not attested not anchored not stored refs pending

Growth rates of the population in a branching Brownian motion with an inhomogeneous breeding potential

\'Eric Brunet, John W. Harris, Julien Berestycki, Matthew I. Roberts, Simon C. Harris

arxiv:1203.0513 v3 · 2012-03-02 · 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{NCOXRKZMEF6RMQAHVZ3Z36WD5R}

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	2026-05-18T02:58:23.740651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

689d78ab2c217d164007ae779dfac3ec70d405890907fb393a9f71c0337bef09

Aliases

arxiv: 1203.0513 · arxiv_version: 1203.0513v3 · doi: 10.48550/arxiv.1203.0513 · pith_short_12: NCOXRKZMEF6R · pith_short_16: NCOXRKZMEF6RMQAH · pith_short_8: NCOXRKZM

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/NCOXRKZMEF6RMQAHVZ3Z36WD5R \
  | 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: 689d78ab2c217d164007ae779dfac3ec70d405890907fb393a9f71c0337bef09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b8ac82d1c5804b00e7fbb33a55dafb9b686d9ec14a412220a4f1c787239a36d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-02T16:25:44Z",
    "title_canon_sha256": "2f46cb122069057c769f92110e71e247b09e24f4eccc71d0126b08a22c890d77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0513",
    "kind": "arxiv",
    "version": 3
  }
}