Pith Number

pith:BCKMJF7F

pith:2015:BCKMJF7FUWAOIKMSYQOI5JPZW3

not attested not anchored not stored refs pending

Numerical Approximation of Random Periodic Solutions of Stochastic Differential Equations

Chunrong Feng, Huaizhong Zhao, Yu Liu

arxiv:1512.04488 v2 · 2015-12-14 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BCKMJF7FUWAOIKMSYQOI5JPZW3}

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	2026-05-18T00:33:37.135560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0894c497e5a580e42992c41c8ea5f9b6cc3147b391cb9c9e106651b2a87b8948

Aliases

arxiv: 1512.04488 · arxiv_version: 1512.04488v2 · doi: 10.48550/arxiv.1512.04488 · pith_short_12: BCKMJF7FUWAO · pith_short_16: BCKMJF7FUWAOIKMS · pith_short_8: BCKMJF7F

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/BCKMJF7FUWAOIKMSYQOI5JPZW3 \
  | 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: 0894c497e5a580e42992c41c8ea5f9b6cc3147b391cb9c9e106651b2a87b8948

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de56ee8fa98dc41c9d45d09fc0ca082c4f7a672a4112e8fc4f24ce3a1871b250",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-12-14T19:51:38Z",
    "title_canon_sha256": "31f35aedb215f54cd6dec2908f26792fd46f5a4df6dbccc506e6626b68af1569"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04488",
    "kind": "arxiv",
    "version": 2
  }
}