Pith Number

pith:PUCBVBYT

pith:2025:PUCBVBYTOWL5UKXOA7QIKBQNRJ

not attested not anchored not stored refs pending

Sharp upper bounds on hitting probabilities for the solution to the stochastic heat equation on the line

David Nualart, Fei Pu, Robert C. Dalang

arxiv:2508.11859 v1 · 2025-08-16 · 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{PUCBVBYTOWL5UKXOA7QIKBQNRJ}

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.

Cited by

1 paper in Pith

Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation

Receipt and verification

First computed	2026-07-05T11:54:55.748970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d041a87137597da2aee07e085060d8a7495cd88d000b2e5faa34a01a80328b2

Aliases

arxiv: 2508.11859 · arxiv_version: 2508.11859v1 · doi: 10.48550/arxiv.2508.11859 · pith_short_12: PUCBVBYTOWL5 · pith_short_16: PUCBVBYTOWL5UKXO · pith_short_8: PUCBVBYT

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/PUCBVBYTOWL5UKXOA7QIKBQNRJ \
  | 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: 7d041a87137597da2aee07e085060d8a7495cd88d000b2e5faa34a01a80328b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0488703148899b0e9d401103d790f5760c78f8dcf304fcf4e4a74838c875b39d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-08-16T01:05:16Z",
    "title_canon_sha256": "750069d4c3f308c98b6e9e41a17f3034f962aa15204e536aeeaa2391672ccdbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.11859",
    "kind": "arxiv",
    "version": 1
  }
}