Pith Number

pith:Q42VP5I3

pith:2019:Q42VP5I3WPZLHZPZVATMZNA7NJ

not attested not anchored not stored refs pending

Structure of the particle population for a branching random walk with a critical reproduction law

Daria Balashova, Elena Yarovaya, Stanislav Molchanov

arxiv:1903.02284 v1 · 2019-03-06 · 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{Q42VP5I3WPZLHZPZVATMZNA7NJ}

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	2026-05-17T23:51:56.325925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

873557f51bb3f2b3e5f9a826ccb41f6a5b9c74dd801455415a5f9bc1dfbeb98b

Aliases

arxiv: 1903.02284 · arxiv_version: 1903.02284v1 · doi: 10.48550/arxiv.1903.02284 · pith_short_12: Q42VP5I3WPZL · pith_short_16: Q42VP5I3WPZLHZPZ · pith_short_8: Q42VP5I3

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/Q42VP5I3WPZLHZPZVATMZNA7NJ \
  | 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: 873557f51bb3f2b3e5f9a826ccb41f6a5b9c74dd801455415a5f9bc1dfbeb98b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5089edfb5782a1f70ae322117ed727c5876dc189454cf8272a0ebf2a93667af8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-03-06T10:11:17Z",
    "title_canon_sha256": "b2f716b333a13240b0fc9b08f5132dbbca6a06bb716c7ca62b8b8f3cf1ba3f2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.02284",
    "kind": "arxiv",
    "version": 1
  }
}