Pith Number

pith:W46PI7TK

pith:2011:W46PI7TKWI74FWST2SU26PN4PQ

not attested not anchored not stored refs pending

SPDEs with Polynomial Growth Coefficients and Malliavin Calculus Method

Huaizhong Zhao, Qi Zhang

arxiv:1111.2202 v1 · 2011-11-09 · 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{W46PI7TKWI74FWST2SU26PN4PQ}

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	2026-05-18T04:08:43.912397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b73cf47e6ab23fc2da53d4a9af3dbc7c0609d313884b9a1e3cef7ba391bfd1a0

Aliases

arxiv: 1111.2202 · arxiv_version: 1111.2202v1 · doi: 10.48550/arxiv.1111.2202 · pith_short_12: W46PI7TKWI74 · pith_short_16: W46PI7TKWI74FWST · pith_short_8: W46PI7TK

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/W46PI7TKWI74FWST2SU26PN4PQ \
  | 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: b73cf47e6ab23fc2da53d4a9af3dbc7c0609d313884b9a1e3cef7ba391bfd1a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3416293bc882568fb1901a0b89581cadb439b7028c67101b4f4deccf603ca48b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-09T13:28:11Z",
    "title_canon_sha256": "c4a1ce31419a839a0447412ccdebda0e75ffc8a6169e9cbcf17028847d7ffe99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2202",
    "kind": "arxiv",
    "version": 1
  }
}