Pith Number

pith:ALK2DUFD

pith:2013:ALK2DUFDOUUSCXY4JCXUU6IDXD

not attested not anchored not stored refs pending

Central Limit Theorems for Supercritical Superprocesses

Renming Song, Rui Zhang, Yan-Xia Ren

arxiv:1310.5410 v2 · 2013-10-21 · 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{ALK2DUFDOUUSCXY4JCXUU6IDXD}

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	2026-05-18T02:42:28.675918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02d5a1d0a37529215f1c48af4a7903b8fde4670ef51f4be55ae36094491a92c5

Aliases

arxiv: 1310.5410 · arxiv_version: 1310.5410v2 · doi: 10.48550/arxiv.1310.5410 · pith_short_12: ALK2DUFDOUUS · pith_short_16: ALK2DUFDOUUSCXY4 · pith_short_8: ALK2DUFD

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/ALK2DUFDOUUSCXY4JCXUU6IDXD \
  | 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: 02d5a1d0a37529215f1c48af4a7903b8fde4670ef51f4be55ae36094491a92c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19598d629ce616b180c37850a409a09d781520e45b50aaf6719464b2ba56cb54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-10-21T03:29:42Z",
    "title_canon_sha256": "772eb573a54e1266a1869aad92331c7e45ffac486049c1ae32f652db1490eb48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5410",
    "kind": "arxiv",
    "version": 2
  }
}