Pith Number

pith:YLB7CWSF

pith:2015:YLB7CWSF5RFET26SPQYXEVESOQ

not attested not anchored not stored refs pending

Stochastic Ordering of Infinite Geometric Galton-Watson Trees

Erik I. Broman

arxiv:1502.07657 v1 · 2015-02-26 · 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{YLB7CWSF5RFET26SPQYXEVESOQ}

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	2026-05-18T02:26:03.196458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2c3f15a45ec4a49ebd27c3172549274290df799adcfa09d20114b512f8e81eb

Aliases

arxiv: 1502.07657 · arxiv_version: 1502.07657v1 · doi: 10.48550/arxiv.1502.07657 · pith_short_12: YLB7CWSF5RFE · pith_short_16: YLB7CWSF5RFET26S · pith_short_8: YLB7CWSF

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/YLB7CWSF5RFET26SPQYXEVESOQ \
  | 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: c2c3f15a45ec4a49ebd27c3172549274290df799adcfa09d20114b512f8e81eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dca4234802a3eb93193b40e57734c68db0c17cf2296ca3a8ac1787483f53341",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-02-26T18:09:28Z",
    "title_canon_sha256": "5e303f87ae532884f7c9b2b932babfcd356e953fcd63b61d6da029752a4f7519"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07657",
    "kind": "arxiv",
    "version": 1
  }
}