Pith Number

pith:7JT7L5OS

pith:2015:7JT7L5OSUI24ZUKRBAYAKUNOFW

not attested not anchored not stored refs pending

Multilevel Monte Carlo Finite Element Method for A Stochastic Optimal Control Problem

Ju Ming, Qi Sun

arxiv:1512.08403 v2 · 2015-12-28 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7JT7L5OSUI24ZUKRBAYAKUNOFW}

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	2026-05-18T01:22:46.057419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa67f5f5d2a235ccd15108300551ae2da4ae4e312f84da7c8ffb83538f60cfc3

Aliases

arxiv: 1512.08403 · arxiv_version: 1512.08403v2 · doi: 10.48550/arxiv.1512.08403 · pith_short_12: 7JT7L5OSUI24 · pith_short_16: 7JT7L5OSUI24ZUKR · pith_short_8: 7JT7L5OS

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/7JT7L5OSUI24ZUKRBAYAKUNOFW \
  | 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: fa67f5f5d2a235ccd15108300551ae2da4ae4e312f84da7c8ffb83538f60cfc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a10bc8a4211f69569bff67869e07859018918699815acfd5966ea1b86e7ccb23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-12-28T13:10:44Z",
    "title_canon_sha256": "b0250f9aa2f95deb7307845eb13699198ae96ab2fea83428099f01b2b76c6265"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08403",
    "kind": "arxiv",
    "version": 2
  }
}