Pith Number

pith:ZM34X323

pith:2012:ZM34X323BSBEP4YE2GWMPROXTT

not attested not anchored not stored refs pending

Reduced chaos expansions with random coefficients in reduced-dimensional stochastic modeling of coupled problems

Eric Phipps, John Red-Horse, Maarten Arnst, Roger Ghanem

arxiv:1207.0910 v1 · 2012-07-04 · math.AP · math.PR

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZM34X323BSBEP4YE2GWMPROXTT}

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	2026-05-18T03:51:48.080512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb37cbef5b0c8247f304d1acc7c5d79cc4200ad949475dab4cf42d608db28b07

Aliases

arxiv: 1207.0910 · arxiv_version: 1207.0910v1 · doi: 10.48550/arxiv.1207.0910 · pith_short_12: ZM34X323BSBE · pith_short_16: ZM34X323BSBEP4YE · pith_short_8: ZM34X323

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/ZM34X323BSBEP4YE2GWMPROXTT \
  | 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: cb37cbef5b0c8247f304d1acc7c5d79cc4200ad949475dab4cf42d608db28b07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3debbc8c1965f63d83ed3ec61dafec721b00e8ba5fe99bdaa050061926b28ddc",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-07-04T06:23:25Z",
    "title_canon_sha256": "7272f1ca4ad62b416c0a5b6cfbb9c447a5062705cbbd9db1c5faad0989cbb37c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0910",
    "kind": "arxiv",
    "version": 1
  }
}