Pith Number

pith:UT7BLUQR

pith:2020:UT7BLUQRJAATER25E6IGOPIBU2

not attested not anchored not stored refs pending

Spatial stationarity, ergodicity and CLT for parabolic Anderson model with delta initial condition in dimension $d\geq 1$

Davar Khoshnevisan, David Nualart, Fei Pu

arxiv:2007.01987 v2 · 2020-07-04 · 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{UT7BLUQRJAATER25E6IGOPIBU2}

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	2026-07-05T02:34:40.486815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4fe15d211480132475d2790673d01a6b69e7e8c49fb87e1c874298910ca5a50

Aliases

arxiv: 2007.01987 · arxiv_version: 2007.01987v2 · doi: 10.48550/arxiv.2007.01987 · pith_short_12: UT7BLUQRJAAT · pith_short_16: UT7BLUQRJAATER25 · pith_short_8: UT7BLUQR

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/UT7BLUQRJAATER25E6IGOPIBU2 \
  | 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: a4fe15d211480132475d2790673d01a6b69e7e8c49fb87e1c874298910ca5a50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d22c29410475d168238bcca871c08cf629170af9d28b99d80086bfa56b72090",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-07-04T02:25:33Z",
    "title_canon_sha256": "4718f5074e4c05736a23d3f4a15f7f4f610a1e26e8cb2812e7706ff5e1d1c6b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.01987",
    "kind": "arxiv",
    "version": 2
  }
}