Pith Number

pith:GAL6GZVL

pith:2017:GAL6GZVLQUMW3TB7KGZCP6THPJ

not attested not anchored not stored refs pending

Spine decompositions and limit theorems for a class of critical superprocesses

Renming Song, Yan-Xia Ren, Zhenyao Sun

arxiv:1711.09188 v2 · 2017-11-25 · 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{GAL6GZVLQUMW3TB7KGZCP6THPJ}

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	2026-05-17T23:55:01.125095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3017e366ab85196dcc3f51b227fa677a4fc9207fc96dcf61e73e43ce85405bfa

Aliases

arxiv: 1711.09188 · arxiv_version: 1711.09188v2 · doi: 10.48550/arxiv.1711.09188 · pith_short_12: GAL6GZVLQUMW · pith_short_16: GAL6GZVLQUMW3TB7 · pith_short_8: GAL6GZVL

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/GAL6GZVLQUMW3TB7KGZCP6THPJ \
  | 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: 3017e366ab85196dcc3f51b227fa677a4fc9207fc96dcf61e73e43ce85405bfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "387c56f48883a80b935b68d9a75498a7518f5df4610affef72cfdadfa4f10182",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-11-25T04:36:48Z",
    "title_canon_sha256": "a770e0a72262bf5efcfe63f5b33bc7e65990b789ba3b64b8d3d49d9500cded96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.09188",
    "kind": "arxiv",
    "version": 2
  }
}