Pith Number

pith:TBYENPNT

pith:2014:TBYENPNTKMYDWNB6USCFO5DUTU

not attested not anchored not stored refs pending

Smoothness of the joint density for spatially homogeneous SPDEs

David Nualart, Jingyu Huang, Xiaobin Sun, Yaozhong Hu

arxiv:1410.1581 v1 · 2014-10-06 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TBYENPNTKMYDWNB6USCFO5DUTU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:41:01.493145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

987046bdb353303b343ea4845774749d0323b4c75e2c5bd50f8ce9d46df256bb

Aliases

arxiv: 1410.1581 · arxiv_version: 1410.1581v1 · doi: 10.48550/arxiv.1410.1581 · pith_short_12: TBYENPNTKMYD · pith_short_16: TBYENPNTKMYDWNB6 · pith_short_8: TBYENPNT

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/TBYENPNTKMYDWNB6USCFO5DUTU \
  | 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: 987046bdb353303b343ea4845774749d0323b4c75e2c5bd50f8ce9d46df256bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5b5b0217b1cbd91e0f67b2d5d1c6892e6aa17d1c16e774518ea74774e926b15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-10-06T22:15:56Z",
    "title_canon_sha256": "d72262d7609b77383f5688087b1ba0ed347ffefe5c5d73b0e20d5c9a70ca469b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1581",
    "kind": "arxiv",
    "version": 1
  }
}