Pith Number

pith:4BFIMNHL

pith:2016:4BFIMNHLKFDSIMIF5SCLZLWTOH

not attested not anchored not stored refs pending

Density Tracking by Quadrature for Stochastic Differential Equations

Harish S. Bhat, R. W. M. A. Madushani

arxiv:1610.09572 v4 · 2016-10-29 · stat.CO · math.NA · 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{4BFIMNHLKFDSIMIF5SCLZLWTOH}

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	2026-05-18T00:22:06.550275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e04a8634eb5147243105ec84bcaed371f576390ed6ae4ac52b727f3b5db643a3

Aliases

arxiv: 1610.09572 · arxiv_version: 1610.09572v4 · doi: 10.48550/arxiv.1610.09572 · pith_short_12: 4BFIMNHLKFDS · pith_short_16: 4BFIMNHLKFDSIMIF · pith_short_8: 4BFIMNHL

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/4BFIMNHLKFDSIMIF5SCLZLWTOH \
  | 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: e04a8634eb5147243105ec84bcaed371f576390ed6ae4ac52b727f3b5db643a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9fc7013c4e4875caa6b56855f97880bf7184795bdc4a764fe5a1e2bda159fc6",
    "cross_cats_sorted": [
      "math.NA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2016-10-29T21:43:03Z",
    "title_canon_sha256": "6d67ff4ce625a7ce05c6757d285708903f9fa5853d6859f455f5d7dcfffaf65b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09572",
    "kind": "arxiv",
    "version": 4
  }
}