Pith Number

pith:2PIPXGWH

pith:2026:2PIPXGWHC7UOS4KAVH6ARNA7WJ

not attested not anchored not stored refs pending

A remark on pathwise well-posedness of the 1-$d$ stochastic heat equation

Jiawei Li, Tadahiro Oh, Yufei Shao

arxiv:2607.09033 v1 · 2026-07-10 · math.AP · 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{2PIPXGWHC7UOS4KAVH6ARNA7WJ}

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	2026-07-13T00:17:35.904054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3d0fb9ac717e8e97140a9fc08b41fb27527caa4f1b1e5fe6ac3d3b3c7c19a4c

Aliases

arxiv: 2607.09033 · arxiv_version: 2607.09033v1 · doi: 10.48550/arxiv.2607.09033 · pith_short_12: 2PIPXGWHC7UO · pith_short_16: 2PIPXGWHC7UOS4KA · pith_short_8: 2PIPXGWH

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/2PIPXGWHC7UOS4KAVH6ARNA7WJ \
  | 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: d3d0fb9ac717e8e97140a9fc08b41fb27527caa4f1b1e5fe6ac3d3b3c7c19a4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99dc6a5069e781d354b7a7d83e8a26cb0ebdb8546cd0f6a729f9674579fff893",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-10T01:44:13Z",
    "title_canon_sha256": "07c9b53e8c77cf85c91fae551acfeb9807c6328c423868ffc36355467fc86d21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09033",
    "kind": "arxiv",
    "version": 1
  }
}