Pith Number

pith:IQPRHY4C

pith:2015:IQPRHY4CIW4N4CGGOH7WU7JZ2L

not attested not anchored not stored refs pending

Smoothness of Local Times and Self-Intersection Local Times of Gaussian Random Fields

Dongsheng Wu, Yimin Xiao, Zhenlong Chen

arxiv:1504.04776 v1 · 2015-04-18 · 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{IQPRHY4CIW4N4CGGOH7WU7JZ2L}

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	2026-05-18T02:18:24.763837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

441f13e38245b8de08c671ff6a7d39d2cfae935c70ecfc9d4de3818644e62b09

Aliases

arxiv: 1504.04776 · arxiv_version: 1504.04776v1 · doi: 10.48550/arxiv.1504.04776 · pith_short_12: IQPRHY4CIW4N · pith_short_16: IQPRHY4CIW4N4CGG · pith_short_8: IQPRHY4C

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/IQPRHY4CIW4N4CGGOH7WU7JZ2L \
  | 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: 441f13e38245b8de08c671ff6a7d39d2cfae935c70ecfc9d4de3818644e62b09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c796fc74dc08293037d1930ab92cd6d3474c7331f0f49f28dced582cb66155aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-18T23:20:30Z",
    "title_canon_sha256": "f0decca975f6e5186e8b1d38234c0384c04dae53002cfc9cfb4474b85c2925d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04776",
    "kind": "arxiv",
    "version": 1
  }
}