Pith Number

pith:B7CJVBUR

pith:2025:B7CJVBUR2TLN3EW4YZQ757M5H6

not attested not anchored not stored refs pending

Sampling schemes of multitype continuous-time Bienaym\'e-Galton-Watson trees and limiting critical genealogies

Juan Carlos Pardo, Osvaldo Angtuncio Hern\'andez, Simon C. Harris

arxiv:2502.04588 v4 · 2025-02-07 · 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{B7CJVBUR2TLN3EW4YZQ757M5H6}

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	2026-05-17T23:39:01.528036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fc49a8691d4d6dd92dcc661fefd9d3f9cec78065ff648b660583933e6ea86b5

Aliases

arxiv: 2502.04588 · arxiv_version: 2502.04588v4 · doi: 10.48550/arxiv.2502.04588 · pith_short_12: B7CJVBUR2TLN · pith_short_16: B7CJVBUR2TLN3EW4 · pith_short_8: B7CJVBUR

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/B7CJVBUR2TLN3EW4YZQ757M5H6 \
  | 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: 0fc49a8691d4d6dd92dcc661fefd9d3f9cec78065ff648b660583933e6ea86b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbf17a5d3efd6206e2110effa93e5dfce2ac49c8ac2fcce7c4054aef0db6257d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-02-07T00:46:50Z",
    "title_canon_sha256": "bb8355f4d1b51ae846e7b79bbcd08b62d11481f08fb0190212288f178227f4c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.04588",
    "kind": "arxiv",
    "version": 4
  }
}