Pith Number

pith:Z7PZ4RR3

pith:2017:Z7PZ4RR3LMKY2FWIZEM7HQ3YQY

not attested not anchored not stored refs pending

Relative entropy convergence under Picard's iteration for stochastic differential equations

Guangyue Han, Tsz Hin Ng

arxiv:1710.05277 v5 · 2017-10-15 · 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{Z7PZ4RR3LMKY2FWIZEM7HQ3YQY}

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	2026-05-18T00:03:29.557151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfdf9e463b5b158d16c8c919f3c3788616000b10b8080e5d84c3d6d10c83c575

Aliases

arxiv: 1710.05277 · arxiv_version: 1710.05277v5 · doi: 10.48550/arxiv.1710.05277 · pith_short_12: Z7PZ4RR3LMKY · pith_short_16: Z7PZ4RR3LMKY2FWI · pith_short_8: Z7PZ4RR3

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/Z7PZ4RR3LMKY2FWIZEM7HQ3YQY \
  | 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: cfdf9e463b5b158d16c8c919f3c3788616000b10b8080e5d84c3d6d10c83c575

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1929b03b50924e5ba1d42cff9e5e574e40bd1378b48e6ac78ad55ee191b46af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-10-15T05:34:40Z",
    "title_canon_sha256": "d0c47dfd8a7ed9b659826be65df978b29cbd2834f61f5116f67b15a831ba6d9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05277",
    "kind": "arxiv",
    "version": 5
  }
}