Pith Number

pith:EECG7BQY

pith:2015:EECG7BQYUVWCSM3F6DKJVWA5P5

not attested not anchored not stored refs pending

Local convergence of critical random trees and continuous-state branching processes

Xin He

arxiv:1503.00951 v2 · 2015-03-03 · 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{EECG7BQYUVWCSM3F6DKJVWA5P5}

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	2026-05-18T01:35:38.142058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21046f8618a56c293365f0d49ad81d7f4ec710a9327c83fe9b39d81685fb7420

Aliases

arxiv: 1503.00951 · arxiv_version: 1503.00951v2 · doi: 10.48550/arxiv.1503.00951 · pith_short_12: EECG7BQYUVWC · pith_short_16: EECG7BQYUVWCSM3F · pith_short_8: EECG7BQY

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/EECG7BQYUVWCSM3F6DKJVWA5P5 \
  | 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: 21046f8618a56c293365f0d49ad81d7f4ec710a9327c83fe9b39d81685fb7420

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d4c6aac708fc7058d353855e2c1079489e6e87d74971410592208503d831256",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-03-03T14:14:51Z",
    "title_canon_sha256": "4f329c4693319a728be2696c57e9ebdc767d94ab0d1bf07ff03c31672f9da2c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00951",
    "kind": "arxiv",
    "version": 2
  }
}