Pith Number

pith:PD4PFRW4

pith:2011:PD4PFRW4K5ZDOHWFMYKDAP7NAF

not attested not anchored not stored refs pending

Averaging approximation to singularly perturbed nonlinear stochastic wave equations

A. J. Roberts, Yan Lv

arxiv:1107.4184 v1 · 2011-07-21 · math.AP · math-ph · math.MP · 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{PD4PFRW4K5ZDOHWFMYKDAP7NAF}

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	2026-05-18T02:01:13.830296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78f8f2c6dc5772371ec56614303fed015d3b86452b401822e550824413a69c65

Aliases

arxiv: 1107.4184 · arxiv_version: 1107.4184v1 · doi: 10.48550/arxiv.1107.4184 · pith_short_12: PD4PFRW4K5ZD · pith_short_16: PD4PFRW4K5ZDOHWF · pith_short_8: PD4PFRW4

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/PD4PFRW4K5ZDOHWFMYKDAP7NAF \
  | 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: 78f8f2c6dc5772371ec56614303fed015d3b86452b401822e550824413a69c65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4839c7c420fac4941c723f4bbec39184024049313c4ba803d779281eef8d29d3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-21T07:15:14Z",
    "title_canon_sha256": "bdf26ee24c591c3cb0b5806cc392938ae883687500cca9fd7a53e0ce7964b97d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4184",
    "kind": "arxiv",
    "version": 1
  }
}