Pith Number

pith:AMRH6VQD

pith:2012:AMRH6VQDLDEDE7CX4IPYKJVFK2

not attested not anchored not stored refs pending

On the eigenfunctions of the complex Ornstein-Uhlenbeck operators

Yong Chen, Yong Liu

arxiv:1209.4990 v3 · 2012-09-22 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AMRH6VQDLDEDE7CX4IPYKJVFK2}

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	2026-05-18T01:28:21.575940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03227f560358c8327c57e21f8526a556ab89b4dc399d9ed269c5a965ef71ed5b

Aliases

arxiv: 1209.4990 · arxiv_version: 1209.4990v3 · doi: 10.48550/arxiv.1209.4990 · pith_short_12: AMRH6VQDLDED · pith_short_16: AMRH6VQDLDEDE7CX · pith_short_8: AMRH6VQD

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/AMRH6VQDLDEDE7CX4IPYKJVFK2 \
  | 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: 03227f560358c8327c57e21f8526a556ab89b4dc399d9ed269c5a965ef71ed5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11529cdbbffe839e11f7d5948dc8553d69804b8482d32a633ce19d5b78aaacd5",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-09-22T12:27:22Z",
    "title_canon_sha256": "d0679706435821b83bfe5d73b18112e2f2b2b8b4632aa7c225f7bcf6b682471c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4990",
    "kind": "arxiv",
    "version": 3
  }
}