Pith Number

pith:KNMABGJM

pith:2018:KNMABGJMSVOB2WASXTN3ZPZZCB

not attested not anchored not stored refs pending

Law of large numbers for supercritical superprocesses with non-local branching

Sandra Palau, Ting Yang

arxiv:1806.02044 v2 · 2018-06-06 · 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{KNMABGJMSVOB2WASXTN3ZPZZCB}

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	2026-05-17T23:49:03.884353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

535800992c955c1d5812bcdbbcbf391070e071b0cc81b23fee340701ff19b53b

Aliases

arxiv: 1806.02044 · arxiv_version: 1806.02044v2 · doi: 10.48550/arxiv.1806.02044 · pith_short_12: KNMABGJMSVOB · pith_short_16: KNMABGJMSVOB2WAS · pith_short_8: KNMABGJM

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/KNMABGJMSVOB2WASXTN3ZPZZCB \
  | 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: 535800992c955c1d5812bcdbbcbf391070e071b0cc81b23fee340701ff19b53b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b15a005ad99d45b763ff75b386dc60c5add8ac1decf336b5f2d21e6c498d0599",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-06-06T07:51:06Z",
    "title_canon_sha256": "a38120a43612a7a67f4dbcbfa2c8c60f2c8cc671355996b5db17158c168fc842"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.02044",
    "kind": "arxiv",
    "version": 2
  }
}