Pith Number

pith:OLL3XW5V

pith:2011:OLL3XW5VPLMSF2S3KOW6J7WAFK

not attested not anchored not stored refs pending

On the approximation for singularly perturbed stochastic wave equations

A. J. Roberts, Wei Wang, Yan Lv

arxiv:1109.3000 v1 · 2011-09-14 · math.AP · 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{OLL3XW5VPLMSF2S3KOW6J7WAFK}

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	2026-05-18T04:13:06.500119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72d7bbdbb57ad922ea5b53ade4fec02aaa6d0e0413fb865df98b0f28dfdaceb4

Aliases

arxiv: 1109.3000 · arxiv_version: 1109.3000v1 · doi: 10.48550/arxiv.1109.3000 · pith_short_12: OLL3XW5VPLMS · pith_short_16: OLL3XW5VPLMSF2S3 · pith_short_8: OLL3XW5V

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/OLL3XW5VPLMSF2S3KOW6J7WAFK \
  | 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: 72d7bbdbb57ad922ea5b53ade4fec02aaa6d0e0413fb865df98b0f28dfdaceb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5044784b66eb6bbca98339a608f6c01d708bc995829634b5c510e67fbfaf587",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-14T06:25:14Z",
    "title_canon_sha256": "6f869e814ad57af2ca77809d66785aa264c9aa6f683ac315365cd61dee3db03b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3000",
    "kind": "arxiv",
    "version": 1
  }
}