Pith Number

pith:N4NYTBK4

pith:2018:N4NYTBK44JBRF7XENDXIWLFI52

not attested not anchored not stored refs pending

Growth-fragmentation processes in Brownian motion indexed by the Brownian tree

Armand Riera, Jean-Fran\c{c}ois Le Gall

arxiv:1811.02825 v1 · 2018-11-07 · 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{N4NYTBK44JBRF7XENDXIWLFI52}

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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.

Cited by

1 paper in Pith

On conditioning a self-similar growth-fragmentation by its intrinsic area

Receipt and verification

First computed	2026-05-18T00:01:20.668292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f1b89855ce24312fee468ee8b2ca8ee9394c3a5fede46564681dafe25765c18

Aliases

arxiv: 1811.02825 · arxiv_version: 1811.02825v1 · doi: 10.48550/arxiv.1811.02825 · pith_short_12: N4NYTBK44JBR · pith_short_16: N4NYTBK44JBRF7XE · pith_short_8: N4NYTBK4

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/N4NYTBK44JBRF7XENDXIWLFI52 \
  | 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: 6f1b89855ce24312fee468ee8b2ca8ee9394c3a5fede46564681dafe25765c18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82002cd66b3399ca72ca497157b4266a8ed4bc554f67b61e3c083a67d75578b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-11-07T10:48:27Z",
    "title_canon_sha256": "08b7fbde2cb8db4ef31838ae4d2aa443771a97bc17fe3cafab97c0019b1733b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.02825",
    "kind": "arxiv",
    "version": 1
  }
}