Pith Number

pith:QY3WXFPI

pith:2017:QY3WXFPIVEBYVUPFPD5P3XQHNB

not attested not anchored not stored refs pending

$L\log L$ criterion for a class of multitype superdiffusions with non-local branching mechanisms

Renming Song, Yan-Xia Ren, Zhen-Qing Chen

arxiv:1708.08219 v1 · 2017-08-28 · 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{QY3WXFPIVEBYVUPFPD5P3XQHNB}

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	2026-05-18T00:36:36.650205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86376b95e8a9038ad1e578fafdde07686f49b6ac5f30d8edcefa66671ff33100

Aliases

arxiv: 1708.08219 · arxiv_version: 1708.08219v1 · doi: 10.48550/arxiv.1708.08219 · pith_short_12: QY3WXFPIVEBY · pith_short_16: QY3WXFPIVEBYVUPF · pith_short_8: QY3WXFPI

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/QY3WXFPIVEBYVUPFPD5P3XQHNB \
  | 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: 86376b95e8a9038ad1e578fafdde07686f49b6ac5f30d8edcefa66671ff33100

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "174585f911cfea4a1fa2e0768d92a3e8f9c02648f4cc06e98eff4b4895cac533",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-08-28T07:30:59Z",
    "title_canon_sha256": "8bf4284e4440ca55f1bc8f683efd1d73cd9dc7fd19c977f31de499af5df4fe07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.08219",
    "kind": "arxiv",
    "version": 1
  }
}