Pith Number

pith:NKVDD72J

pith:2017:NKVDD72JPTDIQ464D4GSVPRAEF

not attested not anchored not stored refs pending

Supercritical Superprocesses: Proper Normalization and Non-degenerate Strong Limit

Renming Song, Rui Zhang, Yan-Xia Ren

arxiv:1708.04422 v3 · 2017-08-15 · 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{NKVDD72JPTDIQ464D4GSVPRAEF}

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	2026-05-18T00:02:55.231511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6aaa31ff497cc68873dc1f0d2abe20217f8780e7cb04ba47c228c98709d1186d

Aliases

arxiv: 1708.04422 · arxiv_version: 1708.04422v3 · doi: 10.48550/arxiv.1708.04422 · pith_short_12: NKVDD72JPTDI · pith_short_16: NKVDD72JPTDIQ464 · pith_short_8: NKVDD72J

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/NKVDD72JPTDIQ464D4GSVPRAEF \
  | 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: 6aaa31ff497cc68873dc1f0d2abe20217f8780e7cb04ba47c228c98709d1186d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d64cef6afb332404c11b2a829d98dbae1d3d926ae7dedeb338efab082b33c1a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-08-15T07:59:19Z",
    "title_canon_sha256": "881a35eb1e6319030009471de19fde6e80e263b47676b7b3c0bae7b49b5c5bf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04422",
    "kind": "arxiv",
    "version": 3
  }
}