Pith Number

pith:C4GRIC5F

pith:2011:C4GRIC5FPCY23FEHAGRR2ZXQ4F

not attested not anchored not stored refs pending

Derivative Formula and Harnack Inequality for Degenerate Functional SDEs

Chenggui Yuan, Feng-Yu Wang, Jianhai Bao

arxiv:1109.3907 v1 · 2011-09-18 · 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{C4GRIC5FPCY23FEHAGRR2ZXQ4F}

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	2026-05-18T04:12:45.611975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

170d140ba578b1ad948701a31d66f0e1780cca6ee8e47dd8d8ec8e08221aedce

Aliases

arxiv: 1109.3907 · arxiv_version: 1109.3907v1 · doi: 10.48550/arxiv.1109.3907 · pith_short_12: C4GRIC5FPCY2 · pith_short_16: C4GRIC5FPCY23FEH · pith_short_8: C4GRIC5F

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/C4GRIC5FPCY23FEHAGRR2ZXQ4F \
  | 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: 170d140ba578b1ad948701a31d66f0e1780cca6ee8e47dd8d8ec8e08221aedce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2805a4bb6403b529538b3fff46abec539cc9db11a4e221cac0a9ea51c78d81e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-09-18T19:56:42Z",
    "title_canon_sha256": "4d6f8361b5a0b7beb4630e3b61f2f549973f9917ee0c3eab094f1dcb6689e36f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3907",
    "kind": "arxiv",
    "version": 1
  }
}