Pith Number

pith:XVNAEO3T

pith:2011:XVNAEO3TMV5R6GT7FKNR24DMNR

not attested not anchored not stored refs pending

A weighted Sobolev space theory of parabolic stochastic PDEs on non-smooth domains

Kyeong-Hun Kim

arxiv:1109.4727 v1 · 2011-09-22 · 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{XVNAEO3TMV5R6GT7FKNR24DMNR}

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	2026-05-18T04:12:33.060014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd5a023b73657b1f1a7f2a9b1d706c6c6ab45ed3c0ff045b8bd090c34ceea500

Aliases

arxiv: 1109.4727 · arxiv_version: 1109.4727v1 · doi: 10.48550/arxiv.1109.4727 · pith_short_12: XVNAEO3TMV5R · pith_short_16: XVNAEO3TMV5R6GT7 · pith_short_8: XVNAEO3T

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/XVNAEO3TMV5R6GT7FKNR24DMNR \
  | 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: bd5a023b73657b1f1a7f2a9b1d706c6c6ab45ed3c0ff045b8bd090c34ceea500

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d78a63d932d32befb2cfee7d16b2a720199eba975b004eb873bcc401d035b62",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-09-22T08:40:09Z",
    "title_canon_sha256": "cb79df25d91b4da5cbeb3de9d718566302ddbfe0d96bc5e959c70ffaaa7bb802"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4727",
    "kind": "arxiv",
    "version": 1
  }
}