Pith Number

pith:JDXZ22MY

pith:2015:JDXZ22MYRJJHGTOZVXDI43DJHT

not attested not anchored not stored refs pending

Explicit cost bounds of stochastic Galerkin approximations for parameterized PDEs with random coefficients

Clayton Webster, Guannan Zhang, Nick Dexter

arxiv:1507.05545 v2 · 2015-07-20 · math.NA · cs.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{JDXZ22MYRJJHGTOZVXDI43DJHT}

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	2026-06-04T17:09:24.938122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48ef9d69988a52734dd9adc68e6c693cd7fa841c0244e6f131397c6087fda629

Aliases

arxiv: 1507.05545 · arxiv_version: 1507.05545v2 · doi: 10.48550/arxiv.1507.05545 · pith_short_12: JDXZ22MYRJJH · pith_short_16: JDXZ22MYRJJHGTOZ · pith_short_8: JDXZ22MY

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/JDXZ22MYRJJHGTOZVXDI43DJHT \
  | 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: 48ef9d69988a52734dd9adc68e6c693cd7fa841c0244e6f131397c6087fda629

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "820404a47de1060147430934e41df84a32a1227d7f6649c04b00109bba337e62",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-07-20T16:05:32Z",
    "title_canon_sha256": "a68cfa84e7c55ff896b1601a0a78c38a66df0eb462f81651ffe4858b8aa3dbab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05545",
    "kind": "arxiv",
    "version": 2
  }
}