Pith Number

pith:MGDGOKHY

pith:2015:MGDGOKHYROVQ4CLDYS53VA7KCP

not attested not anchored not stored refs pending

Analysis of quasi-optimal polynomial approximations for parameterized PDEs with deterministic and stochastic coefficients

Clayton G. Webster, Guannan Zhang, Hoang Tran

arxiv:1508.01821 v1 · 2015-08-07 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MGDGOKHYROVQ4CLDYS53VA7KCP}

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	2026-05-18T01:35:37.848627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61866728f88bab0e0963c4bbba83ea13d29b45c82f37391483ecea3f956bdb84

Aliases

arxiv: 1508.01821 · arxiv_version: 1508.01821v1 · doi: 10.48550/arxiv.1508.01821 · pith_short_12: MGDGOKHYROVQ · pith_short_16: MGDGOKHYROVQ4CLD · pith_short_8: MGDGOKHY

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/MGDGOKHYROVQ4CLDYS53VA7KCP \
  | 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: 61866728f88bab0e0963c4bbba83ea13d29b45c82f37391483ecea3f956bdb84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b450f7269c1eb46730adc4b198b896b708cff81b307d31339a9bed11da824d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-07T21:21:45Z",
    "title_canon_sha256": "d422a978deb413cea971737a942f53874b0082e8353dd9e7cea79e174aa3f1ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01821",
    "kind": "arxiv",
    "version": 1
  }
}