Pith Number

pith:OLR32H4S

pith:2020:OLR32H4SFGLZ4IGCIQPFO3IRRI

not attested not anchored not stored refs pending

Introduction to Random Fields

Moo K. Chung

arxiv:2007.09660 v1 · 2020-07-19 · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OLR32H4SFGLZ4IGCIQPFO3IRRI}

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.

Cited by

1 paper in Pith

Regularity Conditions for Critical Point Convergence

Receipt and verification

First computed	2026-07-05T01:20:27.639885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72e3bd1f9229979e20c2441e576d118a32d7c6bd6bbdbe51e81b968060493b1f

Aliases

arxiv: 2007.09660 · arxiv_version: 2007.09660v1 · doi: 10.48550/arxiv.2007.09660 · pith_short_12: OLR32H4SFGLZ · pith_short_16: OLR32H4SFGLZ4IGC · pith_short_8: OLR32H4S

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/OLR32H4SFGLZ4IGCIQPFO3IRRI \
  | 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: 72e3bd1f9229979e20c2441e576d118a32d7c6bd6bbdbe51e81b968060493b1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04b393520e2bbaa0164f6e214eb02d1183948cfecdb9338e01ad9735baa79e72",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2020-07-19T12:29:58Z",
    "title_canon_sha256": "0f7744d51a2d52f5f34d403ef0d8afd12d029cf144a9141becff98583d82c197"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.09660",
    "kind": "arxiv",
    "version": 1
  }
}