Pith Number

pith:7Z23IZUT

pith:2009:7Z23IZUTEFKJM7GXBFC4R25MCZ

not attested not anchored not stored refs pending

Probabilistic Representation of Weak Solutions of Partial Differential Equations with Polynomial Growth Coefficients

Huaizhong Zhao, Qi Zhang

arxiv:0902.1148 v3 · 2009-02-06 · 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{7Z23IZUTEFKJM7GXBFC4R25MCZ}

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	2026-05-18T04:27:47.949841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe75b466932154967cd70945c8ebac167a4786fffd321e846b7f6cf5fb5feb5c

Aliases

arxiv: 0902.1148 · arxiv_version: 0902.1148v3 · doi: 10.48550/arxiv.0902.1148 · pith_short_12: 7Z23IZUTEFKJ · pith_short_16: 7Z23IZUTEFKJM7GX · pith_short_8: 7Z23IZUT

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/7Z23IZUTEFKJM7GXBFC4R25MCZ \
  | 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: fe75b466932154967cd70945c8ebac167a4786fffd321e846b7f6cf5fb5feb5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47c48ed11158eb3c7d047391bf4e5bd3cd229115b5f8df851fa3305971dc83c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-02-06T20:44:27Z",
    "title_canon_sha256": "56605b46aa587d79905ff5dc16f457d67a1216173aef196862e734774b853f12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.1148",
    "kind": "arxiv",
    "version": 3
  }
}