Pith Number

pith:ULBZE7KK

pith:2017:ULBZE7KKYQGOKYOLKOQI3QYP2K

not attested not anchored not stored refs pending

A representation theorem for stochastic processes with separable covariance functions, and its implications for emulation

Jonathan Rougier

arxiv:1702.05599 v1 · 2017-02-18 · 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{ULBZE7KKYQGOKYOLKOQI3QYP2K}

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	2026-05-18T00:50:30.307702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2c3927d4ac40ce561cb53a08dc30fd2bc251b447850c97c4613b86257cff2f1

Aliases

arxiv: 1702.05599 · arxiv_version: 1702.05599v1 · doi: 10.48550/arxiv.1702.05599 · pith_short_12: ULBZE7KKYQGO · pith_short_16: ULBZE7KKYQGOKYOL · pith_short_8: ULBZE7KK

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/ULBZE7KKYQGOKYOLKOQI3QYP2K \
  | 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: a2c3927d4ac40ce561cb53a08dc30fd2bc251b447850c97c4613b86257cff2f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c931d7db3aba455106d8495877751ecdc2ce5050af7bed5931b1ef769207267f",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2017-02-18T10:58:00Z",
    "title_canon_sha256": "5922803e6fdf54d8a6f2c5a3af5b871d22fb1d9bc1731351766d9aebc01dc17f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.05599",
    "kind": "arxiv",
    "version": 1
  }
}