Pith Number

pith:3HYNWC7V

pith:2011:3HYNWC7V3ERJR2ZAC72LC5QGYO

not attested not anchored not stored refs pending

Dimension reduction in stochastic modeling of coupled problems

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

arxiv:1112.4761 v2 · 2011-12-20 · 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{3HYNWC7V3ERJR2ZAC72LC5QGYO}

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	2026-05-18T03:57:53.008454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9f0db0bf5d92298eb2017f4b17606c3ba5a0d4d8f42b993118fbebddc4dbb8c

Aliases

arxiv: 1112.4761 · arxiv_version: 1112.4761v2 · doi: 10.48550/arxiv.1112.4761 · pith_short_12: 3HYNWC7V3ERJ · pith_short_16: 3HYNWC7V3ERJR2ZA · pith_short_8: 3HYNWC7V

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/3HYNWC7V3ERJR2ZAC72LC5QGYO \
  | 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: d9f0db0bf5d92298eb2017f4b17606c3ba5a0d4d8f42b993118fbebddc4dbb8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e48368cc0159dea3f9d136fe221e63ea5d020e98acb403dd3679366226474c8",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-12-20T16:43:43Z",
    "title_canon_sha256": "db28f1d72733b46f90a309713bce1f11cf494ab99171033ba4ec389b93d18f53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4761",
    "kind": "arxiv",
    "version": 2
  }
}