Pith Number

pith:S32QNP6E

pith:2014:S32QNP6EG7F3QBA57ZQUOFICL4

not attested not anchored not stored refs pending

Asymptotics of the entropy production rate for $d$-dimensional Ornstein-Uhlenbeck processes

Lihu Xu, Ran Wang

arxiv:1412.3545 v1 · 2014-12-11 · 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{S32QNP6EG7F3QBA57ZQUOFICL4}

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	2026-05-18T01:34:25.138266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96f506bfc437cbb8041dfe614715025f3b9141d8501cf7342d0f4be9572cd005

Aliases

arxiv: 1412.3545 · arxiv_version: 1412.3545v1 · doi: 10.48550/arxiv.1412.3545 · pith_short_12: S32QNP6EG7F3 · pith_short_16: S32QNP6EG7F3QBA5 · pith_short_8: S32QNP6E

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/S32QNP6EG7F3QBA57ZQUOFICL4 \
  | 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: 96f506bfc437cbb8041dfe614715025f3b9141d8501cf7342d0f4be9572cd005

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3355ca35fd9657a67d74c0c1f009fbbb62cbbb751a53bba8f2589e8872bae84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-11T05:28:54Z",
    "title_canon_sha256": "7171843e5cc69447bd6d9edfe0a5bb5a406fdb79da5a37f5e3969bd30b1e54a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3545",
    "kind": "arxiv",
    "version": 1
  }
}