Pith Number

pith:KWUUED6B

pith:2012:KWUUED6B7H2MSLYCXTINIKWPEB

not attested not anchored not stored refs pending

Shift Harnack Inequality and Integration by Part Formula for Semilinear SPDE

Shao-Qin Zhang

arxiv:1208.2425 v3 · 2012-08-12 · 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{KWUUED6B7H2MSLYCXTINIKWPEB}

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	2026-05-18T03:41:02.370957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55a9420fc1f9f4c92f02bcd0d42acf20743faa4a0bfb81b59fb68aa67bc498ef

Aliases

arxiv: 1208.2425 · arxiv_version: 1208.2425v3 · doi: 10.48550/arxiv.1208.2425 · pith_short_12: KWUUED6B7H2M · pith_short_16: KWUUED6B7H2MSLYC · pith_short_8: KWUUED6B

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/KWUUED6B7H2MSLYCXTINIKWPEB \
  | 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: 55a9420fc1f9f4c92f02bcd0d42acf20743faa4a0bfb81b59fb68aa67bc498ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "106bf37d1e604ab7091fd83b7564b149e1079925e576800659a34b3189299c8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-12T12:08:30Z",
    "title_canon_sha256": "d93001cf59ededd6b71144e7dd0343d3a4771f3a8e04653d8fabca5152dc626d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2425",
    "kind": "arxiv",
    "version": 3
  }
}