Pith Number

pith:7PFWHCOB

pith:2015:7PFWHCOBVGJ4SAE3AKF23YCUOL

not attested not anchored not stored refs pending

Invariance principles for operator-scaling Gaussian random fields

Hermine Bierm\'e, Olivier Durieu, Yizao Wang

arxiv:1504.04891 v1 · 2015-04-19 · 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{7PFWHCOBVGJ4SAE3AKF23YCUOL}

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	2026-05-18T02:18:24.480585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbcb6389c1a993c9009b028bade05472ecb3e3af6d23c89e04c5d0b8e96cedc6

Aliases

arxiv: 1504.04891 · arxiv_version: 1504.04891v1 · doi: 10.48550/arxiv.1504.04891 · pith_short_12: 7PFWHCOBVGJ4 · pith_short_16: 7PFWHCOBVGJ4SAE3 · pith_short_8: 7PFWHCOB

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/7PFWHCOBVGJ4SAE3AKF23YCUOL \
  | 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: fbcb6389c1a993c9009b028bade05472ecb3e3af6d23c89e04c5d0b8e96cedc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0acb132d965f66b71dfc7610b39375d491a5b7730d260531cac1cae750180dbd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-19T21:51:21Z",
    "title_canon_sha256": "9cfa44ddeba949d0a3c582a7cb0eac5c831f0b24bbc88f09531d46631781d30f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04891",
    "kind": "arxiv",
    "version": 1
  }
}